Input file for FOCAL covariances: 3plfoc.cov Input file for REFERENCE covariances: 3plref.cov ******************************************************************************* ROUTINE "PAIRDIF3" CONDUCTS A PAIRWISE (2-GROUP) DIF ANALYSIS for 3-PL model. It was written by Stephen Stark at UIUC and ast revised on 05/25/00. ******************************************************************************* *********************************************************** FOR ITEM: 1 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .866063 Br= .803284 Cr= .096492 The VAR-COV matrix is: .014218 .002785 .002676 .002785 .008805 .002051 .002676 .002051 .001071 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .878671 Bf= 1.870686 Cf= .069454 The VAR-COV matrix is: .030781 -.017015 .002402 -.017015 .024099 -.000190 .002402 -.000190 .000401 ----------------------------------------------------------- The transformed focal group covariance matrix is: .034957 -.017015 .002560 -.017015 .021220 -.000178 .002560 -.000178 .000401 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .049175 -.014230 .005236 -.014230 .030025 .001873 .005236 .001873 .001472 ----------------------------------------------------------- Inverse of the covariance matrix is: 67.735073 51.191020 -306.053039 51.191020 74.863766 -277.324498 -306.053039 -277.324498 2120.765337 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .866063 B= .803284 C= .096492 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .936379 Bf*A + K = .959903 Cf= .069454 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0703 BDIFF= .1566 CDIFF= -.0270 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 21.055 PROD1(1,2)= 22.823 PROD1(1,3)= -122.296 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 8.3616 ----------------------------------------------------------- The DIF RESULTS for ITEM 1 are: OBSERVED Chi-Square = 8.361641 Observed P-value = .039100 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 2 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .858818 Br= -.305237 Cr= .144617 The VAR-COV matrix is: .010034 .009911 .003682 .009911 .020476 .007547 .003682 .007547 .003588 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .629377 Bf= .474115 Cf= .167667 The VAR-COV matrix is: .010946 .012059 .004851 .012059 .041461 .012038 .004851 .012038 .004280 ----------------------------------------------------------- The transformed focal group covariance matrix is: .012431 .012059 .005170 .012059 .036508 .011296 .005170 .011296 .004280 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .022465 .021970 .008852 .021970 .056984 .018843 .008852 .018843 .007868 ----------------------------------------------------------- Inverse of the covariance matrix is: 80.278258 -5.222064 -77.807655 -5.222064 84.680680 -196.927336 -77.807655 -196.927336 686.253993 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .858818 B= -.305237 C= .144617 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .670712 Bf*A + K = -.350600 Cf= .167667 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1881 BDIFF= -.0454 CDIFF= .0231 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -16.657 PROD1(1,2)= -7.398 PROD1(1,3)= 39.387 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 4.3768 ----------------------------------------------------------- The DIF RESULTS for ITEM 2 are: OBSERVED Chi-Square = 4.376842 Observed P-value = .223542 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 3 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.485390 Br= .438911 Cr= .082778 The VAR-COV matrix is: .029772 .003447 .002256 .003447 .002949 .000784 .002256 .000784 .000518 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.336454 Bf= 1.193691 Cf= .071828 The VAR-COV matrix is: .039673 -.002307 .002244 -.002307 .004980 .000435 .002244 .000435 .000332 ----------------------------------------------------------- The transformed focal group covariance matrix is: .045055 -.002307 .002391 -.002307 .004385 .000408 .002391 .000408 .000332 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .074827 .001140 .004647 .001140 .007334 .001192 .004647 .001192 .000850 ----------------------------------------------------------- Inverse of the covariance matrix is: 22.568864 21.438252 -153.464147 21.438252 196.981805 -393.496107 -153.464147 -393.496107 2567.445298 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.485390 B= .438911 C= .082778 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.424227 Bf*A + K = .324630 Cf= .071828 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0612 BDIFF= -.1143 CDIFF= -.0110 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -2.150 PROD1(1,2)= -19.514 PROD1(1,3)= 26.242 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 2.0742 ----------------------------------------------------------- The DIF RESULTS for ITEM 3 are: OBSERVED Chi-Square = 2.074203 Observed P-value = .557149 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 4 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .927920 Br= -.119494 Cr= .177819 The VAR-COV matrix is: .017012 .014018 .005713 .014018 .021646 .008236 .005713 .008236 .003857 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .882303 Bf= .976527 Cf= .108166 The VAR-COV matrix is: .019990 .003255 .003683 .003255 .011389 .002537 .003683 .002537 .001299 ----------------------------------------------------------- The transformed focal group covariance matrix is: .022702 .003255 .003925 .003255 .010028 .002381 .003925 .002381 .001299 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .039714 .017273 .009638 .017273 .031674 .010617 .009638 .010617 .005156 ----------------------------------------------------------- Inverse of the covariance matrix is: 47.564487 12.466728 -114.580280 12.466728 105.163969 -239.845186 -114.580280 -239.845186 901.990605 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .927920 B= -.119494 C= .177819 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .940249 Bf*A + K = .120849 Cf= .108166 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0123 BDIFF= .2403 CDIFF= -.0697 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 11.564 PROD1(1,2)= 42.135 PROD1(1,3)= -121.884 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 18.7591 ----------------------------------------------------------- The DIF RESULTS for ITEM 4 are: OBSERVED Chi-Square = 18.759057 Observed P-value = .000307 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** DIF PRESENT for this item using CORRECTED P **** *********************************************************** FOR ITEM: 5 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.634194 Br= .452208 Cr= .147553 The VAR-COV matrix is: .060016 .006195 .004401 .006195 .003587 .001169 .004401 .001169 .000810 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.541467 Bf= 1.026648 Cf= .106113 The VAR-COV matrix is: .055698 .000564 .002852 .000564 .004121 .000611 .002852 .000611 .000409 ----------------------------------------------------------- The transformed focal group covariance matrix is: .063254 .000564 .003039 .000564 .003629 .000573 .003039 .000573 .000409 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .123270 .006759 .007440 .006759 .007216 .001742 .007440 .001742 .001219 ----------------------------------------------------------- Inverse of the covariance matrix is: 13.390675 10.982705 -97.429378 10.982705 220.632931 -382.389983 -97.429378 -382.389983 1961.574942 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.634194 B= .452208 C= .147553 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.642704 Bf*A + K = .167881 Cf= .106113 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0085 BDIFF= -.2843 CDIFF= -.0414 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 1.029 PROD1(1,2)= -46.792 PROD1(1,3)= 26.607 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 12.2104 ----------------------------------------------------------- The DIF RESULTS for ITEM 5 are: OBSERVED Chi-Square = 12.210409 Observed P-value = .006696 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 6 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .860986 Br= .030237 Cr= .207214 The VAR-COV matrix is: .015547 .014689 .005644 .014689 .026372 .009203 .005644 .009203 .003900 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .852394 Bf= .643728 Cf= .145713 The VAR-COV matrix is: .018583 .009170 .004904 .009170 .017527 .005426 .004904 .005426 .002388 ----------------------------------------------------------- The transformed focal group covariance matrix is: .021104 .009170 .005226 .009170 .015433 .005092 .005226 .005092 .002388 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .036651 .023859 .010870 .023859 .041805 .014295 .010870 .014295 .006288 ----------------------------------------------------------- Inverse of the covariance matrix is: 56.236777 5.147598 -108.918714 5.147598 107.892857 -254.173093 -108.918714 -254.173093 925.136488 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .860986 B= .030237 C= .207214 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .908376 Bf*A + K = -.191440 Cf= .145713 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0474 BDIFF= -.2217 CDIFF= -.0615 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 8.223 PROD1(1,2)= -8.042 PROD1(1,3)= -5.714 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 2.5237 ----------------------------------------------------------- The DIF RESULTS for ITEM 6 are: OBSERVED Chi-Square = 2.523708 Observed P-value = .471022 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 7 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.666654 Br= .329567 Cr= .062450 The VAR-COV matrix is: .034471 .003233 .002063 .003233 .002297 .000601 .002063 .000601 .000422 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.511596 Bf= 1.547591 Cf= .041911 The VAR-COV matrix is: .060356 -.009530 .001469 -.009530 .006156 .000047 .001469 .000047 .000122 ----------------------------------------------------------- The transformed focal group covariance matrix is: .068544 -.009530 .001565 -.009530 .005421 .000044 .001565 .000044 .000122 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .103015 -.006297 .003628 -.006297 .007718 .000645 .003628 .000645 .000544 ----------------------------------------------------------- Inverse of the covariance matrix is: 15.960940 24.333782 -135.315678 24.333782 180.929683 -376.862057 -135.315678 -376.862057 3187.692998 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.666654 B= .329567 C= .062450 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.610872 Bf*A + K = .656719 Cf= .041911 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0558 BDIFF= .3272 CDIFF= -.0205 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 9.850 PROD1(1,2)= 65.575 PROD1(1,3)= -181.215 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 24.6254 ----------------------------------------------------------- The DIF RESULTS for ITEM 7 are: OBSERVED Chi-Square = 24.625413 Observed P-value = .000018 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** DIF PRESENT for this item using CORRECTED P **** *********************************************************** FOR ITEM: 8 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .664463 Br= .313520 Cr= .132913 The VAR-COV matrix is: .007863 .007845 .003136 .007845 .024453 .007252 .003136 .007252 .002804 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .993882 Bf= .845743 Cf= .127568 The VAR-COV matrix is: .023531 .005163 .003975 .005163 .010137 .002642 .003975 .002642 .001317 ----------------------------------------------------------- The transformed focal group covariance matrix is: .026723 .005163 .004236 .005163 .008926 .002479 .004236 .002479 .001317 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .034586 .013008 .007372 .013008 .033379 .009731 .007372 .009731 .004121 ----------------------------------------------------------- Inverse of the covariance matrix is: 51.185323 21.655481 -142.701945 21.655481 105.313988 -287.424087 -142.701945 -287.424087 1176.651886 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .664463 B= .313520 C= .132913 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.059156 Bf*A + K = -.001875 Cf= .127568 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .3947 BDIFF= -.3154 CDIFF= -.0053 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 14.135 PROD1(1,2)= -23.132 PROD1(1,3)= 28.039 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 12.7249 ----------------------------------------------------------- The DIF RESULTS for ITEM 8 are: OBSERVED Chi-Square = 12.724890 Observed P-value = .005271 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 9 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.247005 Br= .404733 Cr= .093640 The VAR-COV matrix is: .022400 .004330 .002749 .004330 .004578 .001412 .002749 .001412 .000847 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.201623 Bf= 1.055254 Cf= .042811 The VAR-COV matrix is: .022937 -.001862 .001524 -.001862 .004626 .000440 .001524 .000440 .000302 ----------------------------------------------------------- The transformed focal group covariance matrix is: .026049 -.001862 .001624 -.001862 .004073 .000413 .001624 .000413 .000302 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .048449 .002468 .004373 .002468 .008651 .001825 .004373 .001825 .001149 ----------------------------------------------------------- Inverse of the covariance matrix is: 35.310709 27.481785 -178.040013 27.481785 195.209895 -414.635017 -178.040013 -414.635017 2206.480096 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.247005 B= .404733 C= .093640 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.280541 Bf*A + K = .194724 Cf= .042811 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0335 BDIFF= -.2100 CDIFF= -.0508 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 4.462 PROD1(1,2)= -18.999 PROD1(1,3)= -31.047 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 5.7176 ----------------------------------------------------------- The DIF RESULTS for ITEM 9 are: OBSERVED Chi-Square = 5.717614 Observed P-value = .126187 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 10 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .937144 Br= .475559 Cr= .186088 The VAR-COV matrix is: .020248 .009354 .004601 .009354 .013597 .004379 .004601 .004379 .002030 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .821374 Bf= 1.358367 Cf= .096395 The VAR-COV matrix is: .020380 -.002427 .003142 -.002427 .014058 .001451 .003142 .001451 .000940 ----------------------------------------------------------- The transformed focal group covariance matrix is: .023145 -.002427 .003348 -.002427 .012379 .001362 .003348 .001362 .000940 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .043393 .006927 .007949 .006927 .025976 .005741 .007949 .005741 .002970 ----------------------------------------------------------- Inverse of the covariance matrix is: 57.699648 32.719626 -217.678272 32.719626 85.758793 -253.334967 -217.678272 -253.334967 1408.986721 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .937144 B= .475559 C= .186088 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .875319 Bf*A + K = .479157 Cf= .096395 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0618 BDIFF= .0036 CDIFF= -.0897 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 16.075 PROD1(1,2)= 21.008 PROD1(1,3)= -113.830 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 9.2915 ----------------------------------------------------------- The DIF RESULTS for ITEM 10 are: OBSERVED Chi-Square = 9.291495 Observed P-value = .025656 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 11 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .715880 Br= 1.126553 Cr= .097424 The VAR-COV matrix is: .012272 .000503 .002653 .000503 .013974 .002250 .002653 .002250 .001170 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .852275 Bf= 1.763934 Cf= .087081 The VAR-COV matrix is: .027440 -.010978 .002856 -.010978 .020451 .000322 .002856 .000322 .000586 ----------------------------------------------------------- The transformed focal group covariance matrix is: .031163 -.010978 .003044 -.010978 .018008 .000302 .003044 .000302 .000586 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .043435 -.010475 .005697 -.010475 .031982 .002552 .005697 .002552 .001756 ----------------------------------------------------------- Inverse of the covariance matrix is: 79.909512 53.007062 -336.271332 53.007062 70.531483 -274.467995 -336.271332 -274.467995 2059.270202 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .715880 B= 1.126553 C= .097424 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .908249 Bf*A + K = .859730 Cf= .087081 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .1924 BDIFF= -.2668 CDIFF= -.0103 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 4.707 PROD1(1,2)= -5.784 PROD1(1,3)= -12.753 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 2.5805 ----------------------------------------------------------- The DIF RESULTS for ITEM 11 are: OBSERVED Chi-Square = 2.580544 Observed P-value = .460911 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 12 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.275190 Br= -.120518 Cr= .128990 The VAR-COV matrix is: .021390 .008867 .004115 .008867 .008270 .003355 .004115 .003355 .001957 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.212721 Bf= .513385 Cf= .128740 The VAR-COV matrix is: .029734 .007952 .004388 .007952 .007916 .002620 .004388 .002620 .001356 ----------------------------------------------------------- The transformed focal group covariance matrix is: .033768 .007952 .004676 .007952 .006970 .002459 .004676 .002459 .001356 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .055158 .016819 .008791 .016819 .015240 .005814 .008791 .005814 .003313 ----------------------------------------------------------- Inverse of the covariance matrix is: 31.801301 -8.788409 -68.964521 -8.788409 200.881427 -329.179087 -68.964521 -329.179087 1062.473150 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.275190 B= -.120518 C= .128990 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.292368 Bf*A + K = -.313750 Cf= .128740 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0172 BDIFF= -.1932 CDIFF= -.0003 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 2.262 PROD1(1,2)= -38.885 PROD1(1,3)= 62.158 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 7.5372 ----------------------------------------------------------- The DIF RESULTS for ITEM 12 are: OBSERVED Chi-Square = 7.537211 Observed P-value = .056610 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 13 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.578180 Br= .324160 Cr= .082490 The VAR-COV matrix is: .036367 .004345 .002689 .004345 .002859 .000854 .002689 .000854 .000581 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.631622 Bf= 1.444123 Cf= .044791 The VAR-COV matrix is: .066435 -.007870 .001503 -.007870 .004927 .000088 .001503 .000088 .000126 ----------------------------------------------------------- The transformed focal group covariance matrix is: .075448 -.007870 .001602 -.007870 .004338 .000083 .001602 .000083 .000126 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .111815 -.003525 .004291 -.003525 .007197 .000937 .004291 .000937 .000707 ----------------------------------------------------------- Inverse of the covariance matrix is: 13.978563 21.610607 -113.462469 21.610607 201.287114 -397.801543 -113.462469 -397.801543 2629.994805 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.578180 B= .324160 C= .082490 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.738780 Bf*A + K = .559628 Cf= .044791 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .1606 BDIFF= .2355 CDIFF= -.0377 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 11.611 PROD1(1,2)= 65.864 PROD1(1,3)= -211.040 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 25.3296 ----------------------------------------------------------- The DIF RESULTS for ITEM 13 are: OBSERVED Chi-Square = 25.329605 Observed P-value = .000013 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** DIF PRESENT for this item using CORRECTED P **** *********************************************************** FOR ITEM: 14 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .693761 Br= -.765854 Cr= .201801 The VAR-COV matrix is: .007409 .013986 .003984 .013986 .050303 .016796 .003984 .016796 .007001 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .625305 Bf= -.150048 Cf= .187758 The VAR-COV matrix is: .008794 .014557 .004586 .014557 .055240 .017209 .004586 .017209 .006195 ----------------------------------------------------------- The transformed focal group covariance matrix is: .009987 .014557 .004887 .014557 .048641 .016148 .004887 .016148 .006195 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .017396 .028543 .008871 .028543 .098944 .032944 .008871 .032944 .013196 ----------------------------------------------------------- Inverse of the covariance matrix is: 111.328558 -42.644163 31.621024 -42.644163 76.226630 -161.635250 31.621024 -161.635250 458.052883 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .693761 B= -.765854 C= .201801 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .666373 Bf*A + K = -.936297 Cf= .187758 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0274 BDIFF= -.1704 CDIFF= -.0140 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 3.775 PROD1(1,2)= -9.554 PROD1(1,3)= 20.251 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 1.2407 ----------------------------------------------------------- The DIF RESULTS for ITEM 14 are: OBSERVED Chi-Square = 1.240705 Observed P-value = .743259 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 15 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .807644 Br= 1.304413 Cr= .122040 The VAR-COV matrix is: .018398 -.001276 .002871 -.001276 .012653 .001456 .002871 .001456 .000904 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .968919 Bf= 2.039156 Cf= .143139 The VAR-COV matrix is: .062792 -.028284 .003841 -.028284 .035131 -.000246 .003841 -.000246 .000502 ----------------------------------------------------------- The transformed focal group covariance matrix is: .071311 -.028284 .004093 -.028284 .030934 -.000231 .004093 -.000231 .000502 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .089709 -.029560 .006964 -.029560 .043587 .001225 .006964 .001225 .001406 ----------------------------------------------------------- Inverse of the covariance matrix is: 39.434009 33.042923 -224.119236 33.042923 51.206150 -208.289701 -224.119236 -208.289701 2002.854439 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .807644 B= 1.304413 C= .122040 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.032554 Bf*A + K = 1.117990 Cf= .143139 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .2249 BDIFF= -.1864 CDIFF= .0211 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -2.020 PROD1(1,2)= -6.509 PROD1(1,3)= 30.682 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 1.4066 ----------------------------------------------------------- The DIF RESULTS for ITEM 15 are: OBSERVED Chi-Square = 1.406566 Observed P-value = .703996 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 16 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .810925 Br= -.983561 Cr= .156154 The VAR-COV matrix is: .006750 .009267 .002411 .009267 .026815 .009395 .002411 .009395 .004947 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .917085 Bf= .216189 Cf= .144634 The VAR-COV matrix is: .015752 .010748 .004731 .010748 .018322 .006576 .004731 .006576 .002979 ----------------------------------------------------------- The transformed focal group covariance matrix is: .017889 .010748 .005042 .010748 .016133 .006171 .005042 .006171 .002979 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .024639 .020015 .007453 .020015 .042948 .015566 .007453 .015566 .007926 ----------------------------------------------------------- Inverse of the covariance matrix is: 65.384188 -28.409792 -5.686404 -28.409792 93.126116 -156.175375 -5.686404 -156.175375 438.223945 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .810925 B= -.983561 C= .156154 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .977316 Bf*A + K = -.592630 Cf= .144634 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .1664 BDIFF= .3909 CDIFF= -.0115 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -.161 PROD1(1,2)= 33.478 PROD1(1,3)= -67.048 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 13.8331 ----------------------------------------------------------- The DIF RESULTS for ITEM 16 are: OBSERVED Chi-Square = 13.833069 Observed P-value = .003141 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 17 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.105287 Br= -.037089 Cr= .090806 The VAR-COV matrix is: .011824 .005294 .002246 .005294 .006968 .002396 .002246 .002396 .001327 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.312848 Bf= .660205 Cf= .091011 The VAR-COV matrix is: .038061 .004437 .003809 .004437 .005010 .001407 .003809 .001407 .000841 ----------------------------------------------------------- The transformed focal group covariance matrix is: .043225 .004437 .004059 .004437 .004412 .001320 .004059 .001320 .000841 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .055049 .009731 .006305 .009731 .011380 .003716 .006305 .003716 .002168 ----------------------------------------------------------- Inverse of the covariance matrix is: 27.412434 5.893905 -89.826216 5.893905 200.899330 -361.513799 -89.826216 -361.513799 1342.185565 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.105287 B= -.037089 C= .090806 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.399071 Bf*A + K = -.175978 Cf= .091011 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .2938 BDIFF= -.1389 CDIFF= .0002 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 7.216 PROD1(1,2)= -26.245 PROD1(1,3)= 24.096 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 5.7702 ----------------------------------------------------------- The DIF RESULTS for ITEM 17 are: OBSERVED Chi-Square = 5.770170 Observed P-value = .123343 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 18 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.088458 Br= 1.380558 Cr= .048843 The VAR-COV matrix is: .023420 -.006007 .001345 -.006007 .007143 .000149 .001345 .000149 .000229 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .962336 Bf= 2.088472 Cf= .036542 The VAR-COV matrix is: .031665 -.021737 .001458 -.021737 .028616 -.000292 .001458 -.000292 .000174 ----------------------------------------------------------- The transformed focal group covariance matrix is: .035961 -.021737 .001554 -.021737 .025198 -.000274 .001554 -.000274 .000174 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .059381 -.027744 .002899 -.027744 .032341 -.000125 .002899 -.000125 .000403 ----------------------------------------------------------- Inverse of the covariance matrix is: 61.650465 51.235477 -427.555762 51.235477 73.537995 -345.723451 -427.555762 -345.723451 5449.535258 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.088458 B= 1.380558 C= .048843 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.025538 Bf*A + K = 1.164267 Cf= .036542 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0629 BDIFF= -.2163 CDIFF= -.0123 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -9.701 PROD1(1,2)= -14.877 PROD1(1,3)= 34.644 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 3.4019 ----------------------------------------------------------- The DIF RESULTS for ITEM 18 are: OBSERVED Chi-Square = 3.401934 Observed P-value = .333705 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 19 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.305089 Br= 1.216065 Cr= .028885 The VAR-COV matrix is: .023818 -.004100 .000787 -.004100 .003978 .000097 .000787 .000097 .000114 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.143711 Bf= 2.500958 Cf= .022648 The VAR-COV matrix is: .071671 -.050606 .001232 -.050606 .053732 -.000469 .001232 -.000469 .000064 ----------------------------------------------------------- The transformed focal group covariance matrix is: .081394 -.050606 .001313 -.050606 .047313 -.000440 .001313 -.000440 .000064 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .105212 -.054706 .002100 -.054706 .051291 -.000343 .002100 -.000343 .000178 ----------------------------------------------------------- Inverse of the covariance matrix is: 33.611030 33.629945 -331.696218 33.629945 53.400041 -293.812369 -331.696218 -293.812369 8964.759801 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.305089 B= 1.216065 C= .028885 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.218825 Bf*A + K = 1.551332 Cf= .022648 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0863 BDIFF= .3353 CDIFF= -.0062 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 10.444 PROD1(1,2)= 16.835 PROD1(1,3)= -125.805 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 5.5278 ----------------------------------------------------------- The DIF RESULTS for ITEM 19 are: OBSERVED Chi-Square = 5.527806 Observed P-value = .136985 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 20 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.734499 Br= 1.199768 Cr= .040119 The VAR-COV matrix is: .049743 -.003370 .001174 -.003370 .002852 .000113 .001174 .000113 .000116 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.401360 Bf= 1.974924 Cf= .021622 The VAR-COV matrix is: .060627 -.022834 .000734 -.022834 .015553 -.000078 .000734 -.000078 .000049 ----------------------------------------------------------- The transformed focal group covariance matrix is: .068852 -.022834 .000782 -.022834 .013695 -.000073 .000782 -.000073 .000049 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .118595 -.026204 .001956 -.026204 .016547 .000040 .001956 .000040 .000165 ----------------------------------------------------------- Inverse of the covariance matrix is: 19.093939 30.799720 -233.804412 30.799720 110.150687 -391.729539 -233.804412 -391.729539 8927.049884 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.734499 B= 1.199768 C= .040119 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.493396 Bf*A + K = 1.057717 Cf= .021622 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.2411 BDIFF= -.1421 CDIFF= -.0185 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -4.654 PROD1(1,2)= -15.827 PROD1(1,3)= -53.107 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 4.3527 ----------------------------------------------------------- The DIF RESULTS for ITEM 20 are: OBSERVED Chi-Square = 4.352701 Observed P-value = .225811 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 21 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .766112 Br= .922407 Cr= .209369 The VAR-COV matrix is: .021006 .007988 .005087 .007988 .020403 .005032 .005087 .005032 .002163 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .537902 Bf= 1.447672 Cf= .108738 The VAR-COV matrix is: .009636 -.001101 .002968 -.001101 .036057 .004580 .002968 .004580 .001889 ----------------------------------------------------------- The transformed focal group covariance matrix is: .010943 -.001101 .003163 -.001101 .031750 .004298 .003163 .004298 .001889 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .031949 .006887 .008250 .006887 .052153 .009330 .008250 .009330 .004052 ----------------------------------------------------------- Inverse of the covariance matrix is: 96.413048 38.062622 -283.937557 38.062622 47.630812 -187.166089 -283.937557 -187.166089 1255.842836 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .766112 B= .922407 C= .209369 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .573229 Bf*A + K = .562958 Cf= .108738 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1929 BDIFF= -.3594 CDIFF= -.1006 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -3.705 PROD1(1,2)= -5.628 PROD1(1,3)= -4.333 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 3.1736 ----------------------------------------------------------- The DIF RESULTS for ITEM 21 are: OBSERVED Chi-Square = 3.173607 Observed P-value = .365625 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 22 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.234231 Br= 1.376958 Cr= .038148 The VAR-COV matrix is: .025384 -.005278 .000997 -.005278 .005417 .000104 .000997 .000104 .000143 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.305544 Bf= 2.503690 Cf= .028951 The VAR-COV matrix is: .121841 -.071478 .001182 -.071478 .059836 -.000363 .001182 -.000363 .000054 ----------------------------------------------------------- The transformed focal group covariance matrix is: .138371 -.071478 .001260 -.071478 .052688 -.000341 .001260 -.000341 .000054 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .163755 -.076756 .002257 -.076756 .058105 -.000237 .002257 -.000237 .000197 ----------------------------------------------------------- Inverse of the covariance matrix is: 23.211375 29.724518 -230.181657 29.724518 55.360065 -273.997076 -230.181657 -273.997076 7383.751304 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.234231 B= 1.376958 C= .038148 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.391287 Bf*A + K = 1.553895 Cf= .028951 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .1571 BDIFF= .1769 CDIFF= -.0092 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 11.022 PROD1(1,2)= 16.984 PROD1(1,3)= -152.540 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 6.1390 ----------------------------------------------------------- The DIF RESULTS for ITEM 22 are: OBSERVED Chi-Square = 6.139000 Observed P-value = .105040 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 23 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .881759 Br= 1.490005 Cr= .096544 The VAR-COV matrix is: .024023 -.006449 .002641 -.006449 .013149 .000539 .002641 .000539 .000608 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .714291 Bf= 2.251043 Cf= .059787 The VAR-COV matrix is: .022362 -.024520 .002088 -.024520 .053167 -.000558 .002088 -.000558 .000427 ----------------------------------------------------------- The transformed focal group covariance matrix is: .025396 -.024520 .002225 -.024520 .046816 -.000524 .002225 -.000524 .000427 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .049419 -.030969 .004866 -.030969 .059965 .000015 .004866 .000015 .001035 ----------------------------------------------------------- Inverse of the covariance matrix is: 95.498875 49.436155 -449.730288 49.436155 42.267762 -233.056308 -449.730288 -233.056308 3084.090036 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .881759 B= 1.490005 C= .096544 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .761203 Bf*A + K = 1.316819 Cf= .059787 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1206 BDIFF= -.1732 CDIFF= -.0368 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -3.544 PROD1(1,2)= -4.714 PROD1(1,3)= -18.782 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 1.9339 ----------------------------------------------------------- The DIF RESULTS for ITEM 23 are: OBSERVED Chi-Square = 1.933936 Observed P-value = .586231 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 24 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .896751 Br= 1.335268 Cr= .110930 The VAR-COV matrix is: .024084 -.002931 .003097 -.002931 .011336 .001018 .003097 .001018 .000786 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .757783 Bf= 1.914365 Cf= .069780 The VAR-COV matrix is: .022751 -.015483 .002575 -.015483 .031103 .000021 .002575 .000021 .000588 ----------------------------------------------------------- The transformed focal group covariance matrix is: .025838 -.015483 .002744 -.015483 .027387 .000020 .002744 .000020 .000588 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .049922 -.018414 .005841 -.018414 .038723 .001038 .005841 .001038 .001374 ----------------------------------------------------------- Inverse of the covariance matrix is: 88.047101 52.971268 -414.309975 52.971268 58.226380 -269.165329 -414.309975 -269.165329 2692.392259 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .896751 B= 1.335268 C= .110930 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .807551 Bf*A + K = 1.000890 Cf= .069780 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0892 BDIFF= -.3344 CDIFF= -.0412 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -8.517 PROD1(1,2)= -13.119 PROD1(1,3)= 16.167 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 4.4810 ----------------------------------------------------------- The DIF RESULTS for ITEM 24 are: OBSERVED Chi-Square = 4.481002 Observed P-value = .213991 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 25 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.730654 Br= .845337 Cr= .046204 The VAR-COV matrix is: .038137 -.000404 .001167 -.000404 .002003 .000202 .001167 .000202 .000163 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.243466 Bf= 2.326619 Cf= .040420 The VAR-COV matrix is: .093949 -.051128 .001528 -.051128 .043118 -.000400 .001528 -.000400 .000090 ----------------------------------------------------------- The transformed focal group covariance matrix is: .106695 -.051128 .001628 -.051128 .037967 -.000375 .001628 -.000375 .000090 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .144832 -.051532 .002795 -.051532 .039970 -.000173 .002795 -.000173 .000253 ----------------------------------------------------------- Inverse of the covariance matrix is: 19.167615 23.864505 -195.428343 23.864505 54.805561 -226.123516 -195.428343 -226.123516 5956.889359 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.730654 B= .845337 C= .046204 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.325132 Bf*A + K = 1.387737 Cf= .040420 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.4055 BDIFF= .5424 CDIFF= -.0058 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 6.302 PROD1(1,2)= 21.357 PROD1(1,3)= -77.854 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 9.4788 ----------------------------------------------------------- The DIF RESULTS for ITEM 25 are: OBSERVED Chi-Square = 9.478838 Observed P-value = .023558 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 26 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.103916 Br= 1.074374 Cr= .035462 The VAR-COV matrix is: .015528 -.002662 .000917 -.002662 .004506 .000255 .000917 .000255 .000206 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.143502 Bf= 1.812652 Cf= .039075 The VAR-COV matrix is: .035873 -.013671 .001318 -.013671 .013286 -.000054 .001318 -.000054 .000144 ----------------------------------------------------------- The transformed focal group covariance matrix is: .040740 -.013671 .001405 -.013671 .011699 -.000051 .001405 -.000051 .000144 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .056268 -.016333 .002322 -.016333 .016205 .000204 .002322 .000204 .000350 ----------------------------------------------------------- Inverse of the covariance matrix is: 46.689698 51.341753 -339.667249 51.341753 118.624800 -409.803926 -339.667249 -409.803926 5349.407529 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.103916 B= 1.074374 C= .035462 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.218603 Bf*A + K = .905445 Cf= .039075 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .1147 BDIFF= -.1689 CDIFF= .0036 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -4.546 PROD1(1,2)= -15.632 PROD1(1,3)= 49.600 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 2.2985 ----------------------------------------------------------- The DIF RESULTS for ITEM 26 are: OBSERVED Chi-Square = 2.298502 Observed P-value = .512808 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 27 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .530305 Br= .189303 Cr= .213902 The VAR-COV matrix is: .007346 .015852 .004662 .015852 .076179 .019886 .004662 .019886 .005940 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .648688 Bf= .942700 Cf= .203877 The VAR-COV matrix is: .015645 .011715 .005576 .011715 .039390 .009684 .005576 .009684 .003394 ----------------------------------------------------------- The transformed focal group covariance matrix is: .017767 .011715 .005942 .011715 .034685 .009087 .005942 .009087 .003394 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .025113 .027567 .010604 .027567 .110864 .028973 .010604 .028973 .009334 ----------------------------------------------------------- Inverse of the covariance matrix is: 85.476276 21.845475 -164.917661 21.845475 53.362978 -190.459573 -164.917661 -190.459573 885.691315 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .530305 B= .189303 C= .213902 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .691291 Bf*A + K = .089107 Cf= .203877 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .1610 BDIFF= -.1002 CDIFF= -.0100 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 13.225 PROD1(1,2)= .079 PROD1(1,3)= -16.345 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 2.2849 ----------------------------------------------------------- The DIF RESULTS for ITEM 27 are: OBSERVED Chi-Square = 2.284943 Observed P-value = .515412 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 28 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.444159 Br= .605811 Cr= .053682 The VAR-COV matrix is: .025859 .001327 .001679 .001327 .002581 .000499 .001679 .000499 .000346 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.223247 Bf= 2.004809 Cf= .055149 The VAR-COV matrix is: .064176 -.024218 .001826 -.024218 .019815 -.000195 .001826 -.000195 .000152 ----------------------------------------------------------- The transformed focal group covariance matrix is: .072882 -.024218 .001946 -.024218 .017448 -.000183 .001946 -.000183 .000152 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .098741 -.022891 .003625 -.022891 .020029 .000316 .003625 .000316 .000498 ----------------------------------------------------------- Inverse of the covariance matrix is: 24.782466 31.485271 -200.370409 31.485271 90.433707 -286.567002 -200.370409 -286.567002 3648.369075 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.444159 B= .605811 C= .053682 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.303585 Bf*A + K = 1.085760 Cf= .055149 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1406 BDIFF= .4799 CDIFF= .0015 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 11.334 PROD1(1,2)= 38.557 PROD1(1,3)= -104.018 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 16.7596 ----------------------------------------------------------- The DIF RESULTS for ITEM 28 are: OBSERVED Chi-Square = 16.759649 Observed P-value = .000792 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** DIF PRESENT for this item using CORRECTED P **** *********************************************************** FOR ITEM: 29 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .747668 Br= 3.200162 Cr= .169474 The VAR-COV matrix is: .081676 -.156044 .002848 -.156044 .453552 -.001123 .002848 -.001123 .000380 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .806438 Bf= 3.330644 Cf= .151421 The VAR-COV matrix is: .101939 -.170853 .002799 -.170853 .456113 -.001075 .002799 -.001075 .000296 ----------------------------------------------------------- The transformed focal group covariance matrix is: .115769 -.170853 .002983 -.170853 .401626 -.001009 .002983 -.001009 .000296 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .197445 -.326897 .005831 -.326897 .855178 -.002132 .005831 -.002132 .000676 ----------------------------------------------------------- Inverse of the covariance matrix is: 28.593690 10.397040 -213.847610 10.397040 4.959112 -74.041066 -213.847610 -74.041066 3090.342417 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .747668 B= 3.200162 C= .169474 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .859402 Bf*A + K = 2.329886 Cf= .151421 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .1117 BDIFF= -.8703 CDIFF= -.0181 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -1.993 PROD1(1,2)= -1.817 PROD1(1,3)= -15.248 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 1.6343 ----------------------------------------------------------- The DIF RESULTS for ITEM 29 are: OBSERVED Chi-Square = 1.634272 Observed P-value = .651644 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 30 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.241267 Br= 1.632863 Cr= .030774 The VAR-COV matrix is: .033391 -.010038 .001053 -.010038 .008427 -.000027 .001053 -.000027 .000109 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.177151 Bf= 2.477076 Cf= .032284 The VAR-COV matrix is: .092560 -.057956 .001556 -.057956 .054113 -.000559 .001556 -.000559 .000079 ----------------------------------------------------------- The transformed focal group covariance matrix is: .105117 -.057956 .001658 -.057956 .047649 -.000525 .001658 -.000525 .000079 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .138508 -.067994 .002711 -.067994 .056076 -.000552 .002711 -.000552 .000188 ----------------------------------------------------------- Inverse of the covariance matrix is: 30.107003 33.193234 -336.798649 33.193234 54.958742 -317.450805 -336.798649 -317.450805 9244.871765 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.241267 B= 1.632863 C= .030774 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.254462 Bf*A + K = 1.528922 Cf= .032284 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0132 BDIFF= -.1039 CDIFF= .0015 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -3.561 PROD1(1,2)= -5.754 PROD1(1,3)= 42.512 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= .6153 ----------------------------------------------------------- The DIF RESULTS for ITEM 30 are: OBSERVED Chi-Square = .615265 Observed P-value = .892929 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 31 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.160141 Br= .730113 Cr= .102763 The VAR-COV matrix is: .024569 .002517 .002814 .002517 .005081 .001210 .002814 .001210 .000752 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.163220 Bf= 1.785457 Cf= .076121 The VAR-COV matrix is: .051916 -.015271 .002293 -.015271 .014237 -.000016 .002293 -.000016 .000257 ----------------------------------------------------------- The transformed focal group covariance matrix is: .058959 -.015271 .002444 -.015271 .012536 -.000015 .002444 -.000015 .000257 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .083528 -.012754 .005258 -.012754 .017617 .001195 .005258 .001195 .001009 ----------------------------------------------------------- Inverse of the covariance matrix is: 29.501583 34.561213 -194.655648 34.561213 102.209333 -301.137359 -194.655648 -301.137359 2362.017380 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.160141 B= .730113 C= .102763 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.239616 Bf*A + K = .879926 Cf= .076121 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0795 BDIFF= .1498 CDIFF= -.0266 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 12.708 PROD1(1,2)= 26.082 PROD1(1,3)= -123.513 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 8.2081 ----------------------------------------------------------- The DIF RESULTS for ITEM 31 are: OBSERVED Chi-Square = 8.208054 Observed P-value = .041902 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 32 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .814898 Br= 1.045867 Cr= .056892 The VAR-COV matrix is: .009871 -.001146 .001303 -.001146 .007666 .000860 .001303 .000860 .000501 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .948003 Bf= 1.693342 Cf= .065410 The VAR-COV matrix is: .026609 -.009956 .002029 -.009956 .014670 .000167 .002029 .000167 .000358 ----------------------------------------------------------- The transformed focal group covariance matrix is: .030219 -.009956 .002162 -.009956 .012918 .000157 .002162 .000157 .000358 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .040090 -.011102 .003465 -.011102 .020584 .001017 .003465 .001017 .000859 ----------------------------------------------------------- Inverse of the covariance matrix is: 70.502090 55.307870 -349.871705 55.307870 94.987367 -335.541775 -349.871705 -335.541775 2972.692995 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .814898 B= 1.045867 C= .056892 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.010264 Bf*A + K = .793488 Cf= .065410 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .1954 BDIFF= -.2524 CDIFF= .0085 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -3.165 PROD1(1,2)= -16.026 PROD1(1,3)= 41.652 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 3.7810 ----------------------------------------------------------- The DIF RESULTS for ITEM 32 are: OBSERVED Chi-Square = 3.780996 Observed P-value = .286104 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** ******************************************************************************* ROUTINE "PAIRDIF3" CONDUCTS A PAIRWISE (2-GROUP) DIF ANALYSIS for 3-PL model. It was written by Stephen Stark at UIUC and ast revised on 05/25/00. ******************************************************************************* *********************************************************** FOR ITEM: 1 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .866063 Br= .803284 Cr= .096492 The VAR-COV matrix is: .014218 .002785 .002676 .002785 .008805 .002051 .002676 .002051 .001071 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .878671 Bf= 1.870686 Cf= .069454 The VAR-COV matrix is: .030781 -.017015 .002402 -.017015 .024099 -.000190 .002402 -.000190 .000401 ----------------------------------------------------------- The transformed focal group covariance matrix is: .030042 -.017015 .002373 -.017015 .024692 -.000192 .002373 -.000192 .000401 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .044260 -.014230 .005049 -.014230 .033497 .001859 .005049 .001859 .001472 ----------------------------------------------------------- Inverse of the covariance matrix is: 75.122592 49.692252 -320.417148 49.692252 64.973091 -252.485717 -320.417148 -252.485717 2097.192932 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .866063 B= .803284 C= .096492 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .868054 Bf*A + K = 1.008520 Cf= .069454 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0020 BDIFF= .2052 CDIFF= -.0270 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 19.012 PROD1(1,2)= 20.260 PROD1(1,3)= -109.161 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 7.1475 ----------------------------------------------------------- The DIF RESULTS for ITEM 1 are: OBSERVED Chi-Square = 7.147536 Observed P-value = .067341 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 2 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .858818 Br= -.305237 Cr= .144617 The VAR-COV matrix is: .010034 .009911 .003682 .009911 .020476 .007547 .003682 .007547 .003588 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .629377 Bf= .474115 Cf= .167667 The VAR-COV matrix is: .010946 .012059 .004851 .012059 .041461 .012038 .004851 .012038 .004280 ----------------------------------------------------------- The transformed focal group covariance matrix is: .010683 .012059 .004792 .012059 .042481 .012185 .004792 .012185 .004280 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .020717 .021970 .008474 .021970 .062957 .019732 .008474 .019732 .007868 ----------------------------------------------------------- Inverse of the covariance matrix is: 86.569519 -4.607831 -81.685400 -4.607831 74.480251 -181.826776 -81.685400 -181.826776 671.083099 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .858818 B= -.305237 C= .144617 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .621772 Bf*A + K = -.405132 Cf= .167667 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.2370 BDIFF= -.0999 CDIFF= .0231 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -21.943 PROD1(1,2)= -10.539 PROD1(1,3)= 52.995 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 7.4759 ----------------------------------------------------------- The DIF RESULTS for ITEM 2 are: OBSERVED Chi-Square = 7.475940 Observed P-value = .058180 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 3 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.485390 Br= .438911 Cr= .082778 The VAR-COV matrix is: .029772 .003447 .002256 .003447 .002949 .000784 .002256 .000784 .000518 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.336454 Bf= 1.193691 Cf= .071828 The VAR-COV matrix is: .039673 -.002307 .002244 -.002307 .004980 .000435 .002244 .000435 .000332 ----------------------------------------------------------- The transformed focal group covariance matrix is: .038720 -.002307 .002217 -.002307 .005103 .000440 .002217 .000440 .000332 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .068492 .001140 .004473 .001140 .008052 .001224 .004473 .001224 .000850 ----------------------------------------------------------- Inverse of the covariance matrix is: 24.701651 20.830526 -159.989305 20.830526 176.597136 -363.981217 -159.989305 -363.981217 2542.639454 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.485390 B= .438911 C= .082778 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.320306 Bf*A + K = .323245 Cf= .071828 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1651 BDIFF= -.1157 CDIFF= -.0110 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -4.735 PROD1(1,2)= -19.879 PROD1(1,3)= 40.670 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 2.6358 ----------------------------------------------------------- The DIF RESULTS for ITEM 3 are: OBSERVED Chi-Square = 2.635772 Observed P-value = .451253 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 4 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .927920 Br= -.119494 Cr= .177819 The VAR-COV matrix is: .017012 .014018 .005713 .014018 .021646 .008236 .005713 .008236 .003857 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .882303 Bf= .976527 Cf= .108166 The VAR-COV matrix is: .019990 .003255 .003683 .003255 .011389 .002537 .003683 .002537 .001299 ----------------------------------------------------------- The transformed focal group covariance matrix is: .019510 .003255 .003638 .003255 .011669 .002568 .003638 .002568 .001299 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .036522 .017273 .009351 .017273 .033315 .010804 .009351 .010804 .005156 ----------------------------------------------------------- Inverse of the covariance matrix is: 52.477653 11.415454 -119.099615 11.415454 96.149286 -222.178295 -119.099615 -222.178295 875.519914 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .927920 B= -.119494 C= .177819 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .871642 Bf*A + K = .103425 Cf= .108166 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0563 BDIFF= .2229 CDIFF= -.0697 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 7.887 PROD1(1,2)= 36.266 PROD1(1,3)= -103.808 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 14.8711 ----------------------------------------------------------- The DIF RESULTS for ITEM 4 are: OBSERVED Chi-Square = 14.871135 Observed P-value = .001930 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 5 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.634194 Br= .452208 Cr= .147553 The VAR-COV matrix is: .060016 .006195 .004401 .006195 .003587 .001169 .004401 .001169 .000810 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.541467 Bf= 1.026648 Cf= .106113 The VAR-COV matrix is: .055698 .000564 .002852 .000564 .004121 .000611 .002852 .000611 .000409 ----------------------------------------------------------- The transformed focal group covariance matrix is: .054360 .000564 .002818 .000564 .004222 .000618 .002818 .000618 .000409 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .114376 .006759 .007219 .006759 .007809 .001787 .007219 .001787 .001219 ----------------------------------------------------------- Inverse of the covariance matrix is: 14.532974 10.716487 -101.773813 10.716487 200.640938 -357.668280 -101.773813 -357.668280 1947.482096 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.634194 B= .452208 C= .147553 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.522842 Bf*A + K = .154159 Cf= .106113 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1114 BDIFF= -.2980 CDIFF= -.0414 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -.595 PROD1(1,2)= -46.172 PROD1(1,3)= 37.232 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 12.2850 ----------------------------------------------------------- The DIF RESULTS for ITEM 5 are: OBSERVED Chi-Square = 12.284973 Observed P-value = .006468 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 6 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .860986 Br= .030237 Cr= .207214 The VAR-COV matrix is: .015547 .014689 .005644 .014689 .026372 .009203 .005644 .009203 .003900 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .852394 Bf= .643728 Cf= .145713 The VAR-COV matrix is: .018583 .009170 .004904 .009170 .017527 .005426 .004904 .005426 .002388 ----------------------------------------------------------- The transformed focal group covariance matrix is: .018137 .009170 .004845 .009170 .017958 .005492 .004845 .005492 .002388 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .033684 .023859 .010489 .023859 .044330 .014695 .010489 .014695 .006288 ----------------------------------------------------------- Inverse of the covariance matrix is: 61.938607 4.054442 -112.792589 4.054442 100.399863 -241.402432 -112.792589 -241.402432 911.346890 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .860986 B= .030237 C= .207214 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .842095 Bf*A + K = -.233444 Cf= .145713 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0189 BDIFF= -.2637 CDIFF= -.0615 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 4.698 PROD1(1,2)= -11.704 PROD1(1,3)= 9.735 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 2.3986 ----------------------------------------------------------- The DIF RESULTS for ITEM 6 are: OBSERVED Chi-Square = 2.398559 Observed P-value = .493903 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 7 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.666654 Br= .329567 Cr= .062450 The VAR-COV matrix is: .034471 .003233 .002063 .003233 .002297 .000601 .002063 .000601 .000422 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.511596 Bf= 1.547591 Cf= .041911 The VAR-COV matrix is: .060356 -.009530 .001469 -.009530 .006156 .000047 .001469 .000047 .000122 ----------------------------------------------------------- The transformed focal group covariance matrix is: .058906 -.009530 .001451 -.009530 .006308 .000048 .001451 .000048 .000122 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .093377 -.006297 .003514 -.006297 .008605 .000649 .003514 .000649 .000544 ----------------------------------------------------------- Inverse of the covariance matrix is: 17.657770 23.645466 -142.260436 23.645466 159.357074 -342.740945 -142.260436 -342.740945 3165.867518 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.666654 B= .329567 C= .062450 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.493332 Bf*A + K = .681473 Cf= .041911 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1733 BDIFF= .3519 CDIFF= -.0205 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 8.182 PROD1(1,2)= 59.020 PROD1(1,3)= -160.980 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 22.6577 ----------------------------------------------------------- The DIF RESULTS for ITEM 7 are: OBSERVED Chi-Square = 22.657709 Observed P-value = .000048 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** DIF PRESENT for this item using CORRECTED P **** *********************************************************** FOR ITEM: 8 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .664463 Br= .313520 Cr= .132913 The VAR-COV matrix is: .007863 .007845 .003136 .007845 .024453 .007252 .003136 .007252 .002804 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .993882 Bf= .845743 Cf= .127568 The VAR-COV matrix is: .023531 .005163 .003975 .005163 .010137 .002642 .003975 .002642 .001317 ----------------------------------------------------------- The transformed focal group covariance matrix is: .022966 .005163 .003927 .005163 .010386 .002674 .003927 .002674 .001317 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .030829 .013008 .007063 .013008 .034839 .009926 .007063 .009926 .004121 ----------------------------------------------------------- Inverse of the covariance matrix is: 57.949941 21.232827 -150.464069 21.232827 99.272484 -275.509978 -150.464069 -275.509978 1164.164443 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .664463 B= .313520 C= .132913 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .981873 Bf*A + K = -.028959 Cf= .127568 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .3174 BDIFF= -.3425 CDIFF= -.0053 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 11.926 PROD1(1,2)= -25.787 PROD1(1,3)= 40.375 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 12.4011 ----------------------------------------------------------- The DIF RESULTS for ITEM 8 are: OBSERVED Chi-Square = 12.401087 Observed P-value = .006128 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 9 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.247005 Br= .404733 Cr= .093640 The VAR-COV matrix is: .022400 .004330 .002749 .004330 .004578 .001412 .002749 .001412 .000847 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.201623 Bf= 1.055254 Cf= .042811 The VAR-COV matrix is: .022937 -.001862 .001524 -.001862 .004626 .000440 .001524 .000440 .000302 ----------------------------------------------------------- The transformed focal group covariance matrix is: .022386 -.001862 .001506 -.001862 .004740 .000445 .001506 .000445 .000302 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .044786 .002468 .004255 .002468 .009318 .001857 .004255 .001857 .001149 ----------------------------------------------------------- Inverse of the covariance matrix is: 38.531253 26.903995 -186.166666 26.903995 177.129612 -385.955278 -186.166666 -385.955278 2183.575481 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.247005 B= .404733 C= .093640 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.187104 Bf*A + K = .183115 Cf= .042811 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0599 BDIFF= -.2216 CDIFF= -.0508 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 1.192 PROD1(1,2)= -21.249 PROD1(1,3)= -14.303 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 5.3647 ----------------------------------------------------------- The DIF RESULTS for ITEM 9 are: OBSERVED Chi-Square = 5.364738 Observed P-value = .146956 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 10 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .937144 Br= .475559 Cr= .186088 The VAR-COV matrix is: .020248 .009354 .004601 .009354 .013597 .004379 .004601 .004379 .002030 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .821374 Bf= 1.358367 Cf= .096395 The VAR-COV matrix is: .020380 -.002427 .003142 -.002427 .014058 .001451 .003142 .001451 .000940 ----------------------------------------------------------- The transformed focal group covariance matrix is: .019890 -.002427 .003104 -.002427 .014404 .001469 .003104 .001469 .000940 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .040138 .006927 .007705 .006927 .028001 .005848 .007705 .005848 .002970 ----------------------------------------------------------- Inverse of the covariance matrix is: 62.393003 31.197168 -223.290723 31.197168 76.252297 -231.070506 -223.290723 -231.070506 1370.944366 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .937144 B= .475559 C= .186088 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .811449 Bf*A + K = .489935 Cf= .096395 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1257 BDIFF= .0144 CDIFF= -.0897 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 12.634 PROD1(1,2)= 17.900 PROD1(1,3)= -98.220 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 7.4790 ----------------------------------------------------------- The DIF RESULTS for ITEM 10 are: OBSERVED Chi-Square = 7.478967 Observed P-value = .058101 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 11 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .715880 Br= 1.126553 Cr= .097424 The VAR-COV matrix is: .012272 .000503 .002653 .000503 .013974 .002250 .002653 .002250 .001170 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .852275 Bf= 1.763934 Cf= .087081 The VAR-COV matrix is: .027440 -.010978 .002856 -.010978 .020451 .000322 .002856 .000322 .000586 ----------------------------------------------------------- The transformed focal group covariance matrix is: .026781 -.010978 .002821 -.010978 .020954 .000326 .002821 .000326 .000586 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .039053 -.010475 .005474 -.010475 .034928 .002576 .005474 .002576 .001756 ----------------------------------------------------------- Inverse of the covariance matrix is: 90.978876 54.049842 -362.922626 54.049842 64.213750 -262.702763 -362.922626 -262.702763 2086.288658 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .715880 B= 1.126553 C= .097424 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .841977 Bf*A + K = .900463 Cf= .087081 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .1261 BDIFF= -.2261 CDIFF= -.0103 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 3.006 PROD1(1,2)= -4.985 PROD1(1,3)= -7.947 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 1.5884 ----------------------------------------------------------- The DIF RESULTS for ITEM 11 are: OBSERVED Chi-Square = 1.588377 Observed P-value = .662028 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 12 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.275190 Br= -.120518 Cr= .128990 The VAR-COV matrix is: .021390 .008867 .004115 .008867 .008270 .003355 .004115 .003355 .001957 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.212721 Bf= .513385 Cf= .128740 The VAR-COV matrix is: .029734 .007952 .004388 .007952 .007916 .002620 .004388 .002620 .001356 ----------------------------------------------------------- The transformed focal group covariance matrix is: .029020 .007952 .004335 .007952 .008111 .002652 .004335 .002652 .001356 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .050410 .016819 .008450 .016819 .016381 .006007 .008450 .006007 .003313 ----------------------------------------------------------- Inverse of the covariance matrix is: 35.150602 -9.591118 -72.263093 -9.591118 184.799385 -310.610722 -72.263093 -310.610722 1049.343219 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.275190 B= -.120518 C= .128990 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.198068 Bf*A + K = -.365382 Cf= .128740 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0771 BDIFF= -.2449 CDIFF= -.0003 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -.344 PROD1(1,2)= -44.433 PROD1(1,3)= 81.368 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 10.8863 ----------------------------------------------------------- The DIF RESULTS for ITEM 12 are: OBSERVED Chi-Square = 10.886302 Observed P-value = .012357 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 13 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.578180 Br= .324160 Cr= .082490 The VAR-COV matrix is: .036367 .004345 .002689 .004345 .002859 .000854 .002689 .000854 .000581 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.631622 Bf= 1.444123 Cf= .044791 The VAR-COV matrix is: .066435 -.007870 .001503 -.007870 .004927 .000088 .001503 .000088 .000126 ----------------------------------------------------------- The transformed focal group covariance matrix is: .064839 -.007870 .001485 -.007870 .005048 .000089 .001485 .000089 .000126 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .101206 -.003525 .004174 -.003525 .007907 .000943 .004174 .000943 .000707 ----------------------------------------------------------- Inverse of the covariance matrix is: 15.592831 21.322381 -120.495907 21.322381 179.549550 -365.382066 -120.495907 -365.382066 2613.173602 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.578180 B= .324160 C= .082490 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.611907 Bf*A + K = .576740 Cf= .044791 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0337 BDIFF= .2526 CDIFF= -.0377 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 10.454 PROD1(1,2)= 59.844 PROD1(1,3)= -194.866 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 22.8143 ----------------------------------------------------------- The DIF RESULTS for ITEM 13 are: OBSERVED Chi-Square = 22.814329 Observed P-value = .000044 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** DIF PRESENT for this item using CORRECTED P **** *********************************************************** FOR ITEM: 14 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .693761 Br= -.765854 Cr= .201801 The VAR-COV matrix is: .007409 .013986 .003984 .013986 .050303 .016796 .003984 .016796 .007001 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .625305 Bf= -.150048 Cf= .187758 The VAR-COV matrix is: .008794 .014557 .004586 .014557 .055240 .017209 .004586 .017209 .006195 ----------------------------------------------------------- The transformed focal group covariance matrix is: .008583 .014557 .004531 .014557 .056600 .017419 .004531 .017419 .006195 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .015992 .028543 .008515 .028543 .106903 .034215 .008515 .034215 .013196 ----------------------------------------------------------- Inverse of the covariance matrix is: 121.965768 -43.362647 33.736389 -43.362647 70.403187 -154.566805 33.736389 -154.566805 454.783685 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .693761 B= -.765854 C= .201801 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .617750 Bf*A + K = -1.036929 Cf= .187758 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0760 BDIFF= -.2711 CDIFF= -.0140 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 2.010 PROD1(1,2)= -13.618 PROD1(1,3)= 32.948 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 3.0760 ----------------------------------------------------------- The DIF RESULTS for ITEM 14 are: OBSERVED Chi-Square = 3.075991 Observed P-value = .380057 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 15 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .807644 Br= 1.304413 Cr= .122040 The VAR-COV matrix is: .018398 -.001276 .002871 -.001276 .012653 .001456 .002871 .001456 .000904 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .968919 Bf= 2.039156 Cf= .143139 The VAR-COV matrix is: .062792 -.028284 .003841 -.028284 .035131 -.000246 .003841 -.000246 .000502 ----------------------------------------------------------- The transformed focal group covariance matrix is: .061284 -.028284 .003795 -.028284 .035996 -.000249 .003795 -.000249 .000502 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .079682 -.029560 .006666 -.029560 .048649 .001207 .006666 .001207 .001406 ----------------------------------------------------------- Inverse of the covariance matrix is: 45.586350 33.780727 -245.115894 33.780727 46.035348 -199.667663 -245.115894 -199.667663 2044.693542 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .807644 B= 1.304413 C= .122040 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .957212 Bf*A + K = 1.179051 Cf= .143139 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .1496 BDIFF= -.1254 CDIFF= .0211 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -2.588 PROD1(1,2)= -4.931 PROD1(1,3)= 31.510 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= .8959 ----------------------------------------------------------- The DIF RESULTS for ITEM 15 are: OBSERVED Chi-Square = .895923 Observed P-value = .826412 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 16 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .810925 Br= -.983561 Cr= .156154 The VAR-COV matrix is: .006750 .009267 .002411 .009267 .026815 .009395 .002411 .009395 .004947 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .917085 Bf= .216189 Cf= .144634 The VAR-COV matrix is: .015752 .010748 .004731 .010748 .018322 .006576 .004731 .006576 .002979 ----------------------------------------------------------- The transformed focal group covariance matrix is: .015374 .010748 .004674 .010748 .018773 .006656 .004674 .006656 .002979 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .022124 .020015 .007085 .020015 .045588 .016051 .007085 .016051 .007926 ----------------------------------------------------------- Inverse of the covariance matrix is: 74.987254 -32.486162 -1.239351 -32.486162 90.519393 -154.277876 -1.239351 -154.277876 439.712455 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .810925 B= -.983561 C= .156154 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .906004 Bf*A + K = -.666212 Cf= .144634 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0951 BDIFF= .3173 CDIFF= -.0115 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -3.165 PROD1(1,2)= 27.415 PROD1(1,3)= -54.143 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 9.0228 ----------------------------------------------------------- The DIF RESULTS for ITEM 16 are: OBSERVED Chi-Square = 9.022789 Observed P-value = .028989 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 17 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.105287 Br= -.037089 Cr= .090806 The VAR-COV matrix is: .011824 .005294 .002246 .005294 .006968 .002396 .002246 .002396 .001327 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.312848 Bf= .660205 Cf= .091011 The VAR-COV matrix is: .038061 .004437 .003809 .004437 .005010 .001407 .003809 .001407 .000841 ----------------------------------------------------------- The transformed focal group covariance matrix is: .037147 .004437 .003763 .004437 .005133 .001424 .003763 .001424 .000841 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .048971 .009731 .006009 .009731 .012101 .003820 .006009 .003820 .002168 ----------------------------------------------------------- Inverse of the covariance matrix is: 31.076157 4.961707 -94.875761 4.961707 187.020477 -343.298891 -94.875761 -343.298891 1329.141860 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.105287 B= -.037089 C= .090806 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.296985 Bf*A + K = -.216766 Cf= .091011 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .1917 BDIFF= -.1797 CDIFF= .0002 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 5.046 PROD1(1,2)= -32.722 PROD1(1,3)= 43.768 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 6.8558 ----------------------------------------------------------- The DIF RESULTS for ITEM 17 are: OBSERVED Chi-Square = 6.855804 Observed P-value = .076639 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 18 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.088458 Br= 1.380558 Cr= .048843 The VAR-COV matrix is: .023420 -.006007 .001345 -.006007 .007143 .000149 .001345 .000149 .000229 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .962336 Bf= 2.088472 Cf= .036542 The VAR-COV matrix is: .031665 -.021737 .001458 -.021737 .028616 -.000292 .001458 -.000292 .000174 ----------------------------------------------------------- The transformed focal group covariance matrix is: .030904 -.021737 .001440 -.021737 .029320 -.000296 .001440 -.000296 .000174 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .054324 -.027744 .002785 -.027744 .036463 -.000147 .002785 -.000147 .000403 ----------------------------------------------------------- Inverse of the covariance matrix is: 64.733536 47.525165 -430.128722 47.525165 62.356379 -305.796870 -430.128722 -305.796870 5343.057710 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.088458 B= 1.380558 C= .048843 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .950708 Bf*A + K = 1.228970 Cf= .036542 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1377 BDIFF= -.1516 CDIFF= -.0123 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -10.830 PROD1(1,2)= -12.237 PROD1(1,3)= 39.880 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 2.8564 ----------------------------------------------------------- The DIF RESULTS for ITEM 18 are: OBSERVED Chi-Square = 2.856354 Observed P-value = .414307 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 19 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.305089 Br= 1.216065 Cr= .028885 The VAR-COV matrix is: .023818 -.004100 .000787 -.004100 .003978 .000097 .000787 .000097 .000114 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.143711 Bf= 2.500958 Cf= .022648 The VAR-COV matrix is: .071671 -.050606 .001232 -.050606 .053732 -.000469 .001232 -.000469 .000064 ----------------------------------------------------------- The transformed focal group covariance matrix is: .069949 -.050606 .001217 -.050606 .055054 -.000475 .001217 -.000475 .000064 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .093767 -.054706 .002004 -.054706 .059032 -.000378 .002004 -.000378 .000178 ----------------------------------------------------------- Inverse of the covariance matrix is: 36.378346 31.519377 -342.698548 31.519377 44.482454 -260.481970 -342.698548 -260.481970 8923.671180 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.305089 B= 1.216065 C= .028885 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.129892 Bf*A + K = 1.646501 Cf= .022648 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1752 BDIFF= .4304 CDIFF= -.0062 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 9.331 PROD1(1,2)= 15.249 PROD1(1,3)= -107.738 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 5.6010 ----------------------------------------------------------- The DIF RESULTS for ITEM 19 are: OBSERVED Chi-Square = 5.601047 Observed P-value = .132718 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 20 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.734499 Br= 1.199768 Cr= .040119 The VAR-COV matrix is: .049743 -.003370 .001174 -.003370 .002852 .000113 .001174 .000113 .000116 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.401360 Bf= 1.974924 Cf= .021622 The VAR-COV matrix is: .060627 -.022834 .000734 -.022834 .015553 -.000078 .000734 -.000078 .000049 ----------------------------------------------------------- The transformed focal group covariance matrix is: .059171 -.022834 .000725 -.022834 .015936 -.000079 .000725 -.000079 .000049 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .108914 -.026204 .001899 -.026204 .018788 .000034 .001899 .000034 .000165 ----------------------------------------------------------- Inverse of the covariance matrix is: 20.246221 28.671158 -238.947692 28.671158 93.847929 -349.366293 -238.947692 -349.366293 8882.954796 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.734499 B= 1.199768 C= .040119 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.384428 Bf*A + K = 1.114033 Cf= .021622 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.3501 BDIFF= -.0857 CDIFF= -.0185 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -5.126 PROD1(1,2)= -11.621 PROD1(1,3)= -50.706 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 3.7287 ----------------------------------------------------------- The DIF RESULTS for ITEM 20 are: OBSERVED Chi-Square = 3.728663 Observed P-value = .292294 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 21 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .766112 Br= .922407 Cr= .209369 The VAR-COV matrix is: .021006 .007988 .005087 .007988 .020403 .005032 .005087 .005032 .002163 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .537902 Bf= 1.447672 Cf= .108738 The VAR-COV matrix is: .009636 -.001101 .002968 -.001101 .036057 .004580 .002968 .004580 .001889 ----------------------------------------------------------- The transformed focal group covariance matrix is: .009405 -.001101 .002932 -.001101 .036944 .004636 .002932 .004636 .001889 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .030411 .006887 .008019 .006887 .057347 .009668 .008019 .009668 .004052 ----------------------------------------------------------- Inverse of the covariance matrix is: 98.376000 35.145262 -278.547801 35.145262 41.727636 -169.116035 -278.547801 -169.116035 1201.562159 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .766112 B= .922407 C= .209369 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .531403 Bf*A + K = .580332 Cf= .108738 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.2347 BDIFF= -.3421 CDIFF= -.1006 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -7.082 PROD1(1,2)= -5.505 PROD1(1,3)= 2.314 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 3.3122 ----------------------------------------------------------- The DIF RESULTS for ITEM 21 are: OBSERVED Chi-Square = 3.312247 Observed P-value = .345942 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 22 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.234231 Br= 1.376958 Cr= .038148 The VAR-COV matrix is: .025384 -.005278 .000997 -.005278 .005417 .000104 .000997 .000104 .000143 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.305544 Bf= 2.503690 Cf= .028951 The VAR-COV matrix is: .121841 -.071478 .001182 -.071478 .059836 -.000363 .001182 -.000363 .000054 ----------------------------------------------------------- The transformed focal group covariance matrix is: .118914 -.071478 .001168 -.071478 .061309 -.000367 .001168 -.000367 .000054 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .144298 -.076756 .002165 -.076756 .066726 -.000263 .002165 -.000263 .000197 ----------------------------------------------------------- Inverse of the covariance matrix is: 26.097568 29.041757 -247.934646 29.041757 47.384387 -255.757802 -247.934646 -255.757802 7458.537278 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.234231 B= 1.376958 C= .038148 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.289769 Bf*A + K = 1.649266 Cf= .028951 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0555 BDIFF= .2723 CDIFF= -.0092 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 11.638 PROD1(1,2)= 16.868 PROD1(1,3)= -152.011 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 6.6378 ----------------------------------------------------------- The DIF RESULTS for ITEM 22 are: OBSERVED Chi-Square = 6.637772 Observed P-value = .084385 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 23 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .881759 Br= 1.490005 Cr= .096544 The VAR-COV matrix is: .024023 -.006449 .002641 -.006449 .013149 .000539 .002641 .000539 .000608 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .714291 Bf= 2.251043 Cf= .059787 The VAR-COV matrix is: .022362 -.024520 .002088 -.024520 .053167 -.000558 .002088 -.000558 .000427 ----------------------------------------------------------- The transformed focal group covariance matrix is: .021825 -.024520 .002063 -.024520 .054475 -.000565 .002063 -.000565 .000427 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .045848 -.030969 .004704 -.030969 .067624 -.000026 .004704 -.000026 .001035 ----------------------------------------------------------- Inverse of the covariance matrix is: 96.196851 43.887334 -436.091383 43.887334 34.810149 -198.586479 -436.091383 -198.586479 2943.135811 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .881759 B= 1.490005 C= .096544 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .705660 Bf*A + K = 1.393529 Cf= .059787 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1761 BDIFF= -.0965 CDIFF= -.0368 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -5.145 PROD1(1,2)= -3.787 PROD1(1,3)= -12.227 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 1.7208 ----------------------------------------------------------- The DIF RESULTS for ITEM 23 are: OBSERVED Chi-Square = 1.720809 Observed P-value = .632317 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 24 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .896751 Br= 1.335268 Cr= .110930 The VAR-COV matrix is: .024084 -.002931 .003097 -.002931 .011336 .001018 .003097 .001018 .000786 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .757783 Bf= 1.914365 Cf= .069780 The VAR-COV matrix is: .022751 -.015483 .002575 -.015483 .031103 .000021 .002575 .000021 .000588 ----------------------------------------------------------- The transformed focal group covariance matrix is: .022205 -.015483 .002544 -.015483 .031868 .000021 .002544 .000021 .000588 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .046289 -.018414 .005641 -.018414 .043204 .001039 .005641 .001039 .001374 ----------------------------------------------------------- Inverse of the covariance matrix is: 90.883468 48.594307 -409.872857 48.594307 49.557469 -236.985382 -409.872857 -236.985382 2589.763468 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .896751 B= 1.335268 C= .110930 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .748627 Bf*A + K = 1.052733 Cf= .069780 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1481 BDIFF= -.2825 CDIFF= -.0412 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -10.325 PROD1(1,2)= -11.448 PROD1(1,3)= 21.100 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 3.8956 ----------------------------------------------------------- The DIF RESULTS for ITEM 24 are: OBSERVED Chi-Square = 3.895557 Observed P-value = .272965 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 25 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.730654 Br= .845337 Cr= .046204 The VAR-COV matrix is: .038137 -.000404 .001167 -.000404 .002003 .000202 .001167 .000202 .000163 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.243466 Bf= 2.326619 Cf= .040420 The VAR-COV matrix is: .093949 -.051128 .001528 -.051128 .043118 -.000400 .001528 -.000400 .000090 ----------------------------------------------------------- The transformed focal group covariance matrix is: .091692 -.051128 .001510 -.051128 .044179 -.000405 .001510 -.000405 .000090 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .129829 -.051532 .002677 -.051532 .046182 -.000203 .002677 -.000203 .000253 ----------------------------------------------------------- Inverse of the covariance matrix is: 20.611811 22.119465 -200.317843 22.119465 45.467332 -197.543891 -200.317843 -197.543891 5913.352068 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.730654 B= .845337 C= .046204 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.228441 Bf*A + K = 1.470029 Cf= .040420 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.5022 BDIFF= .6247 CDIFF= -.0058 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 4.625 PROD1(1,2)= 18.437 PROD1(1,3)= -57.005 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 9.5245 ----------------------------------------------------------- The DIF RESULTS for ITEM 25 are: OBSERVED Chi-Square = 9.524456 Observed P-value = .023073 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 26 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.103916 Br= 1.074374 Cr= .035462 The VAR-COV matrix is: .015528 -.002662 .000917 -.002662 .004506 .000255 .000917 .000255 .000206 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.143502 Bf= 1.812652 Cf= .039075 The VAR-COV matrix is: .035873 -.013671 .001318 -.013671 .013286 -.000054 .001318 -.000054 .000144 ----------------------------------------------------------- The transformed focal group covariance matrix is: .035011 -.013671 .001302 -.013671 .013613 -.000055 .001302 -.000055 .000144 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .050539 -.016333 .002219 -.016333 .018119 .000200 .002219 .000200 .000350 ----------------------------------------------------------- Inverse of the covariance matrix is: 51.924016 50.767223 -358.268451 50.767223 105.178471 -382.079064 -358.268451 -382.079064 5347.342963 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.103916 B= 1.074374 C= .035462 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.129685 Bf*A + K = .949776 Cf= .039075 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0258 BDIFF= -.1246 CDIFF= .0036 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -6.282 PROD1(1,2)= -13.177 PROD1(1,3)= 57.694 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 1.6884 ----------------------------------------------------------- The DIF RESULTS for ITEM 26 are: OBSERVED Chi-Square = 1.688418 Observed P-value = .639512 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 27 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .530305 Br= .189303 Cr= .213902 The VAR-COV matrix is: .007346 .015852 .004662 .015852 .076179 .019886 .004662 .019886 .005940 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .648688 Bf= .942700 Cf= .203877 The VAR-COV matrix is: .015645 .011715 .005576 .011715 .039390 .009684 .005576 .009684 .003394 ----------------------------------------------------------- The transformed focal group covariance matrix is: .015269 .011715 .005509 .011715 .040359 .009802 .005509 .009802 .003394 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .022615 .027567 .010171 .027567 .116538 .029688 .010171 .029688 .009334 ----------------------------------------------------------- Inverse of the covariance matrix is: 95.252076 20.604259 -169.325217 20.604259 49.687272 -180.490237 -169.325217 -180.490237 865.718586 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .530305 B= .189303 C= .213902 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .640850 Bf*A + K = .069184 Cf= .203877 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .1105 BDIFF= -.1201 CDIFF= -.0100 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 9.752 PROD1(1,2)= -1.881 PROD1(1,3)= -5.717 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 1.3613 ----------------------------------------------------------- The DIF RESULTS for ITEM 27 are: OBSERVED Chi-Square = 1.361337 Observed P-value = .714622 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 28 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.444159 Br= .605811 Cr= .053682 The VAR-COV matrix is: .025859 .001327 .001679 .001327 .002581 .000499 .001679 .000499 .000346 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.223247 Bf= 2.004809 Cf= .055149 The VAR-COV matrix is: .064176 -.024218 .001826 -.024218 .019815 -.000195 .001826 -.000195 .000152 ----------------------------------------------------------- The transformed focal group covariance matrix is: .062635 -.024218 .001804 -.024218 .020303 -.000197 .001804 -.000197 .000152 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .088494 -.022891 .003483 -.022891 .022884 .000302 .003483 .000302 .000498 ----------------------------------------------------------- Inverse of the covariance matrix is: 27.321248 30.088710 -209.303988 30.088710 77.187438 -257.184663 -209.303988 -257.184663 3627.637150 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.444159 B= .605811 C= .053682 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.208467 Bf*A + K = 1.144284 Cf= .055149 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.2357 BDIFF= .5385 CDIFF= .0015 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 9.455 PROD1(1,2)= 34.094 PROD1(1,3)= -83.834 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 16.0073 ----------------------------------------------------------- The DIF RESULTS for ITEM 28 are: OBSERVED Chi-Square = 16.007302 Observed P-value = .001130 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** DIF PRESENT for this item using CORRECTED P **** *********************************************************** FOR ITEM: 29 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .747668 Br= 3.200162 Cr= .169474 The VAR-COV matrix is: .081676 -.156044 .002848 -.156044 .453552 -.001123 .002848 -.001123 .000380 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .806438 Bf= 3.330644 Cf= .151421 The VAR-COV matrix is: .101939 -.170853 .002799 -.170853 .456113 -.001075 .002799 -.001075 .000296 ----------------------------------------------------------- The transformed focal group covariance matrix is: .099490 -.170853 .002765 -.170853 .467338 -.001088 .002765 -.001088 .000296 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .181166 -.326897 .005613 -.326897 .920890 -.002211 .005613 -.002211 .000676 ----------------------------------------------------------- Inverse of the covariance matrix is: 32.931205 11.120667 -237.070033 11.120667 4.849883 -76.477070 -237.070033 -76.477070 3197.654842 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .747668 B= 3.200162 C= .169474 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .796694 Bf*A + K = 2.486334 Cf= .151421 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0490 BDIFF= -.7138 CDIFF= -.0181 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -2.044 PROD1(1,2)= -1.536 PROD1(1,3)= -14.758 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 1.2628 ----------------------------------------------------------- The DIF RESULTS for ITEM 29 are: OBSERVED Chi-Square = 1.262766 Observed P-value = .737993 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 30 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.241267 Br= 1.632863 Cr= .030774 The VAR-COV matrix is: .033391 -.010038 .001053 -.010038 .008427 -.000027 .001053 -.000027 .000109 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.177151 Bf= 2.477076 Cf= .032284 The VAR-COV matrix is: .092560 -.057956 .001556 -.057956 .054113 -.000559 .001556 -.000559 .000079 ----------------------------------------------------------- The transformed focal group covariance matrix is: .090337 -.057956 .001537 -.057956 .055445 -.000566 .001537 -.000566 .000079 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .123728 -.067994 .002590 -.067994 .063872 -.000593 .002590 -.000593 .000188 ----------------------------------------------------------- Inverse of the covariance matrix is: 32.987394 31.829566 -354.117949 31.829566 46.840805 -290.829542 -354.117949 -290.829542 9280.965391 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.241267 B= 1.632863 C= .030774 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.162928 Bf*A + K = 1.622327 Cf= .032284 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0783 BDIFF= -.0105 CDIFF= .0015 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -3.454 PROD1(1,2)= -3.426 PROD1(1,3)= 44.820 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= .3744 ----------------------------------------------------------- The DIF RESULTS for ITEM 30 are: OBSERVED Chi-Square = .374385 Observed P-value = .945482 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 31 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.160141 Br= .730113 Cr= .102763 The VAR-COV matrix is: .024569 .002517 .002814 .002517 .005081 .001210 .002814 .001210 .000752 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.163220 Bf= 1.785457 Cf= .076121 The VAR-COV matrix is: .051916 -.015271 .002293 -.015271 .014237 -.000016 .002293 -.000016 .000257 ----------------------------------------------------------- The transformed focal group covariance matrix is: .050669 -.015271 .002265 -.015271 .014587 -.000016 .002265 -.000016 .000257 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .075238 -.012754 .005079 -.012754 .019668 .001194 .005079 .001194 .001009 ----------------------------------------------------------- Inverse of the covariance matrix is: 32.912596 33.827843 -205.705231 33.827843 89.545270 -276.234977 -205.705231 -276.234977 2353.427011 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.160141 B= .730113 C= .102763 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.149165 Bf*A + K = .922249 Cf= .076121 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0110 BDIFF= .1921 CDIFF= -.0266 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 11.619 PROD1(1,2)= 24.193 PROD1(1,3)= -113.517 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 7.5451 ----------------------------------------------------------- The DIF RESULTS for ITEM 31 are: OBSERVED Chi-Square = 7.545128 Observed P-value = .056410 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 32 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .814898 Br= 1.045867 Cr= .056892 The VAR-COV matrix is: .009871 -.001146 .001303 -.001146 .007666 .000860 .001303 .000860 .000501 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .948003 Bf= 1.693342 Cf= .065410 The VAR-COV matrix is: .026609 -.009956 .002029 -.009956 .014670 .000167 .002029 .000167 .000358 ----------------------------------------------------------- The transformed focal group covariance matrix is: .025970 -.009956 .002004 -.009956 .015031 .000169 .002004 .000169 .000358 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .035841 -.011102 .003307 -.011102 .022697 .001029 .003307 .001029 .000859 ----------------------------------------------------------- Inverse of the covariance matrix is: 79.787478 55.996975 -374.294605 55.996975 85.889163 -318.501387 -374.294605 -318.501387 2986.874091 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .814898 B= 1.045867 C= .056892 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .936548 Bf*A + K = .829007 Cf= .065410 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .1217 BDIFF= -.2169 CDIFF= .0085 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -5.626 PROD1(1,2)= -14.527 PROD1(1,3)= 48.979 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 2.8831 ----------------------------------------------------------- The DIF RESULTS for ITEM 32 are: OBSERVED Chi-Square = 2.883146 Observed P-value = .409995 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** ******************************************************************************* ROUTINE "PAIRDIF3" CONDUCTS A PAIRWISE (2-GROUP) DIF ANALYSIS for 3-PL model. It was written by Stephen Stark at UIUC and ast revised on 05/25/00. ******************************************************************************* *********************************************************** FOR ITEM: 1 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .866063 Br= .803284 Cr= .096492 The VAR-COV matrix is: .014218 .002785 .002676 .002785 .008805 .002051 .002676 .002051 .001071 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .878671 Bf= 1.870686 Cf= .069454 The VAR-COV matrix is: .030781 -.017015 .002402 -.017015 .024099 -.000190 .002402 -.000190 .000401 ----------------------------------------------------------- The transformed focal group covariance matrix is: .029678 -.017015 .002359 -.017015 .024995 -.000193 .002359 -.000193 .000401 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .043896 -.014230 .005035 -.014230 .033800 .001858 .005035 .001858 .001472 ----------------------------------------------------------- Inverse of the covariance matrix is: 75.711753 49.541636 -321.466647 49.541636 64.207832 -250.466286 -321.466647 -250.466286 2094.894065 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .866063 B= .803284 C= .096492 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .862780 Bf*A + K = .995529 Cf= .069454 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0033 BDIFF= .1922 CDIFF= -.0270 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 17.967 PROD1(1,2)= 18.953 PROD1(1,3)= -103.737 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 6.3895 ----------------------------------------------------------- The DIF RESULTS for ITEM 1 are: OBSERVED Chi-Square = 6.389508 Observed P-value = .094123 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 2 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .858818 Br= -.305237 Cr= .144617 The VAR-COV matrix is: .010034 .009911 .003682 .009911 .020476 .007547 .003682 .007547 .003588 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .629377 Bf= .474115 Cf= .167667 The VAR-COV matrix is: .010946 .012059 .004851 .012059 .041461 .012038 .004851 .012038 .004280 ----------------------------------------------------------- The transformed focal group covariance matrix is: .010554 .012059 .004763 .012059 .043002 .012260 .004763 .012260 .004280 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .020588 .021970 .008445 .021970 .063478 .019807 .008445 .019807 .007868 ----------------------------------------------------------- Inverse of the covariance matrix is: 87.064486 -4.539974 -82.023502 -4.539974 73.672317 -180.587918 -82.023502 -180.587918 669.746441 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .858818 B= -.305237 C= .144617 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .617995 Bf*A + K = -.426764 Cf= .167667 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.2408 BDIFF= -.1215 CDIFF= .0231 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -22.306 PROD1(1,2)= -12.022 PROD1(1,3)= 57.137 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 8.1499 ----------------------------------------------------------- The DIF RESULTS for ITEM 2 are: OBSERVED Chi-Square = 8.149895 Observed P-value = .043013 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 3 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.485390 Br= .438911 Cr= .082778 The VAR-COV matrix is: .029772 .003447 .002256 .003447 .002949 .000784 .002256 .000784 .000518 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.336454 Bf= 1.193691 Cf= .071828 The VAR-COV matrix is: .039673 -.002307 .002244 -.002307 .004980 .000435 .002244 .000435 .000332 ----------------------------------------------------------- The transformed focal group covariance matrix is: .038251 -.002307 .002203 -.002307 .005165 .000443 .002203 .000443 .000332 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .068023 .001140 .004459 .001140 .008114 .001227 .004459 .001227 .000850 ----------------------------------------------------------- Inverse of the covariance matrix is: 24.873737 20.773678 -160.484596 20.773678 175.006250 -361.615593 -160.484596 -361.615593 2540.440398 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.485390 B= .438911 C= .082778 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.312284 Bf*A + K = .306065 Cf= .071828 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1731 BDIFF= -.1328 CDIFF= -.0110 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -5.308 PROD1(1,2)= -22.885 PROD1(1,3)= 48.002 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 3.4335 ----------------------------------------------------------- The DIF RESULTS for ITEM 3 are: OBSERVED Chi-Square = 3.433465 Observed P-value = .329495 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 4 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .927920 Br= -.119494 Cr= .177819 The VAR-COV matrix is: .017012 .014018 .005713 .014018 .021646 .008236 .005713 .008236 .003857 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .882303 Bf= .976527 Cf= .108166 The VAR-COV matrix is: .019990 .003255 .003683 .003255 .011389 .002537 .003683 .002537 .001299 ----------------------------------------------------------- The transformed focal group covariance matrix is: .019273 .003255 .003616 .003255 .011812 .002584 .003616 .002584 .001299 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .036285 .017273 .009329 .017273 .033458 .010820 .009329 .010820 .005156 ----------------------------------------------------------- Inverse of the covariance matrix is: 52.879814 11.332169 -119.462271 11.332169 95.421547 -220.744256 -119.462271 -220.744256 873.332629 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .927920 B= -.119494 C= .177819 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .866346 Bf*A + K = .084901 Cf= .108166 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0616 BDIFF= .2044 CDIFF= -.0697 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 7.381 PROD1(1,2)= 34.181 PROD1(1,3)= -98.594 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 13.3994 ----------------------------------------------------------- The DIF RESULTS for ITEM 4 are: OBSERVED Chi-Square = 13.399381 Observed P-value = .003848 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 5 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.634194 Br= .452208 Cr= .147553 The VAR-COV matrix is: .060016 .006195 .004401 .006195 .003587 .001169 .004401 .001169 .000810 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.541467 Bf= 1.026648 Cf= .106113 The VAR-COV matrix is: .055698 .000564 .002852 .000564 .004121 .000611 .002852 .000611 .000409 ----------------------------------------------------------- The transformed focal group covariance matrix is: .053702 .000564 .002800 .000564 .004274 .000622 .002800 .000622 .000409 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .113718 .006759 .007201 .006759 .007861 .001791 .007201 .001791 .001219 ----------------------------------------------------------- Inverse of the covariance matrix is: 14.624377 10.692250 -102.107321 10.692250 199.056566 -355.668740 -102.107321 -355.668740 1946.194179 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.634194 B= .452208 C= .147553 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.513589 Bf*A + K = .135945 Cf= .106113 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1206 BDIFF= -.3163 CDIFF= -.0414 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -.914 PROD1(1,2)= -49.505 PROD1(1,3)= 44.149 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 13.9372 ----------------------------------------------------------- The DIF RESULTS for ITEM 5 are: OBSERVED Chi-Square = 13.937201 Observed P-value = .002992 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 6 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .860986 Br= .030237 Cr= .207214 The VAR-COV matrix is: .015547 .014689 .005644 .014689 .026372 .009203 .005644 .009203 .003900 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .852394 Bf= .643728 Cf= .145713 The VAR-COV matrix is: .018583 .009170 .004904 .009170 .017527 .005426 .004904 .005426 .002388 ----------------------------------------------------------- The transformed focal group covariance matrix is: .017917 .009170 .004815 .009170 .018179 .005526 .004815 .005526 .002388 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .033464 .023859 .010459 .023859 .044551 .014729 .010459 .014729 .006288 ----------------------------------------------------------- Inverse of the covariance matrix is: 62.401339 3.978693 -113.116546 3.978693 99.759230 -240.292929 -113.116546 -240.292929 910.047825 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .860986 B= .030237 C= .207214 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .836978 Bf*A + K = -.254027 Cf= .145713 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0240 BDIFF= -.2843 CDIFF= -.0615 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 4.328 PROD1(1,2)= -13.675 PROD1(1,3)= 15.054 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 2.8577 ----------------------------------------------------------- The DIF RESULTS for ITEM 6 are: OBSERVED Chi-Square = 2.857683 Observed P-value = .414092 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 7 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.666654 Br= .329567 Cr= .062450 The VAR-COV matrix is: .034471 .003233 .002063 .003233 .002297 .000601 .002063 .000601 .000422 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.511596 Bf= 1.547591 Cf= .041911 The VAR-COV matrix is: .060356 -.009530 .001469 -.009530 .006156 .000047 .001469 .000047 .000122 ----------------------------------------------------------- The transformed focal group covariance matrix is: .058193 -.009530 .001442 -.009530 .006385 .000048 .001442 .000048 .000122 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .092664 -.006297 .003505 -.006297 .008682 .000649 .003505 .000649 .000544 ----------------------------------------------------------- Inverse of the covariance matrix is: 17.796297 23.580513 -142.802033 23.580513 157.700397 -340.048296 -142.802033 -340.048296 3164.023115 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.666654 B= .329567 C= .062450 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.484258 Bf*A + K = .666483 Cf= .041911 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1824 BDIFF= .3369 CDIFF= -.0205 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 7.632 PROD1(1,2)= 55.815 PROD1(1,3)= -153.507 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 20.5659 ----------------------------------------------------------- The DIF RESULTS for ITEM 7 are: OBSERVED Chi-Square = 20.565921 Observed P-value = .000130 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** DIF PRESENT for this item using CORRECTED P **** *********************************************************** FOR ITEM: 8 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .664463 Br= .313520 Cr= .132913 The VAR-COV matrix is: .007863 .007845 .003136 .007845 .024453 .007252 .003136 .007252 .002804 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .993882 Bf= .845743 Cf= .127568 The VAR-COV matrix is: .023531 .005163 .003975 .005163 .010137 .002642 .003975 .002642 .001317 ----------------------------------------------------------- The transformed focal group covariance matrix is: .022688 .005163 .003903 .005163 .010514 .002691 .003903 .002691 .001317 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .030551 .013008 .007039 .013008 .034967 .009943 .007039 .009943 .004121 ----------------------------------------------------------- Inverse of the covariance matrix is: 58.521763 21.190006 -151.086202 21.190006 98.760791 -274.473167 -151.086202 -274.473167 1162.947417 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .664463 B= .313520 C= .132913 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .975907 Bf*A + K = -.048292 Cf= .127568 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .3114 BDIFF= -.3618 CDIFF= -.0053 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 11.367 PROD1(1,2)= -27.666 PROD1(1,3)= 46.037 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 13.3041 ----------------------------------------------------------- The DIF RESULTS for ITEM 8 are: OBSERVED Chi-Square = 13.304095 Observed P-value = .004023 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 9 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.247005 Br= .404733 Cr= .093640 The VAR-COV matrix is: .022400 .004330 .002749 .004330 .004578 .001412 .002749 .001412 .000847 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.201623 Bf= 1.055254 Cf= .042811 The VAR-COV matrix is: .022937 -.001862 .001524 -.001862 .004626 .000440 .001524 .000440 .000302 ----------------------------------------------------------- The transformed focal group covariance matrix is: .022115 -.001862 .001496 -.001862 .004798 .000448 .001496 .000448 .000302 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .044515 .002468 .004245 .002468 .009376 .001860 .004245 .001860 .001149 ----------------------------------------------------------- Inverse of the covariance matrix is: 38.790011 26.845985 -186.785824 26.845985 175.696955 -383.627148 -186.785824 -383.627148 2181.526598 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.247005 B= .404733 C= .093640 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.179891 Bf*A + K = .165078 Cf= .042811 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0671 BDIFF= -.2397 CDIFF= -.0508 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= .457 PROD1(1,2)= -24.409 PROD1(1,3)= -6.411 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 6.1449 ----------------------------------------------------------- The DIF RESULTS for ITEM 9 are: OBSERVED Chi-Square = 6.144905 Observed P-value = .104769 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 10 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .937144 Br= .475559 Cr= .186088 The VAR-COV matrix is: .020248 .009354 .004601 .009354 .013597 .004379 .004601 .004379 .002030 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .821374 Bf= 1.358367 Cf= .096395 The VAR-COV matrix is: .020380 -.002427 .003142 -.002427 .014058 .001451 .003142 .001451 .000940 ----------------------------------------------------------- The transformed focal group covariance matrix is: .019650 -.002427 .003085 -.002427 .014581 .001478 .003085 .001478 .000940 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .039898 .006927 .007686 .006927 .028178 .005857 .007686 .005857 .002970 ----------------------------------------------------------- Inverse of the covariance matrix is: 62.762866 31.063054 -223.681547 31.063054 75.512079 -229.296157 -223.681547 -229.296157 1367.737470 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .937144 B= .475559 C= .186088 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .806519 Bf*A + K = .473774 Cf= .096395 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1306 BDIFF= -.0018 CDIFF= -.0897 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 11.809 PROD1(1,2)= 16.374 PROD1(1,3)= -93.049 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 6.7741 ----------------------------------------------------------- The DIF RESULTS for ITEM 10 are: OBSERVED Chi-Square = 6.774079 Observed P-value = .079458 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 11 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .715880 Br= 1.126553 Cr= .097424 The VAR-COV matrix is: .012272 .000503 .002653 .000503 .013974 .002250 .002653 .002250 .001170 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .852275 Bf= 1.763934 Cf= .087081 The VAR-COV matrix is: .027440 -.010978 .002856 -.010978 .020451 .000322 .002856 .000322 .000586 ----------------------------------------------------------- The transformed focal group covariance matrix is: .026456 -.010978 .002804 -.010978 .021211 .000328 .002804 .000328 .000586 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .038728 -.010475 .005457 -.010475 .035185 .002578 .005457 .002578 .001756 ----------------------------------------------------------- Inverse of the covariance matrix is: 91.877195 54.091537 -364.948800 54.091537 63.692127 -261.611760 -364.948800 -261.611760 2087.739015 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .715880 B= 1.126553 C= .097424 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .836861 Bf*A + K = .886811 Cf= .087081 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .1210 BDIFF= -.2397 CDIFF= -.0103 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 1.922 PROD1(1,2)= -6.020 PROD1(1,3)= -3.026 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 1.7070 ----------------------------------------------------------- The DIF RESULTS for ITEM 11 are: OBSERVED Chi-Square = 1.707024 Observed P-value = .635373 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 12 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.275190 Br= -.120518 Cr= .128990 The VAR-COV matrix is: .021390 .008867 .004115 .008867 .008270 .003355 .004115 .003355 .001957 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.212721 Bf= .513385 Cf= .128740 The VAR-COV matrix is: .029734 .007952 .004388 .007952 .007916 .002620 .004388 .002620 .001356 ----------------------------------------------------------- The transformed focal group covariance matrix is: .028668 .007952 .004309 .007952 .008210 .002668 .004309 .002668 .001356 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .050058 .016819 .008424 .016819 .016480 .006023 .008424 .006023 .003313 ----------------------------------------------------------- Inverse of the covariance matrix is: 35.421999 -9.636082 -72.545013 -9.636082 183.466211 -309.053157 -72.545013 -309.053157 1048.173730 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.275190 B= -.120518 C= .128990 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.190789 Bf*A + K = -.386771 Cf= .128740 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0844 BDIFF= -.2663 CDIFF= -.0003 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -.406 PROD1(1,2)= -47.958 PROD1(1,3)= 88.147 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 12.7812 ----------------------------------------------------------- The DIF RESULTS for ITEM 12 are: OBSERVED Chi-Square = 12.781154 Observed P-value = .005135 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 13 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.578180 Br= .324160 Cr= .082490 The VAR-COV matrix is: .036367 .004345 .002689 .004345 .002859 .000854 .002689 .000854 .000581 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.631622 Bf= 1.444123 Cf= .044791 The VAR-COV matrix is: .066435 -.007870 .001503 -.007870 .004927 .000088 .001503 .000088 .000126 ----------------------------------------------------------- The transformed focal group covariance matrix is: .064054 -.007870 .001476 -.007870 .005110 .000090 .001476 .000090 .000126 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .100421 -.003525 .004165 -.003525 .007969 .000944 .004165 .000944 .000707 ----------------------------------------------------------- Inverse of the covariance matrix is: 15.726024 21.290070 -121.054849 21.290070 177.859985 -362.802892 -121.054849 -362.802892 2611.767679 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.578180 B= .324160 C= .082490 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.602114 Bf*A + K = .561110 Cf= .044791 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0239 BDIFF= .2369 CDIFF= -.0377 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 9.985 PROD1(1,2)= 56.331 PROD1(1,3)= -187.324 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 20.6485 ----------------------------------------------------------- The DIF RESULTS for ITEM 13 are: OBSERVED Chi-Square = 20.648454 Observed P-value = .000125 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** DIF PRESENT for this item using CORRECTED P **** *********************************************************** FOR ITEM: 14 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .693761 Br= -.765854 Cr= .201801 The VAR-COV matrix is: .007409 .013986 .003984 .013986 .050303 .016796 .003984 .016796 .007001 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .625305 Bf= -.150048 Cf= .187758 The VAR-COV matrix is: .008794 .014557 .004586 .014557 .055240 .017209 .004586 .017209 .006195 ----------------------------------------------------------- The transformed focal group covariance matrix is: .008479 .014557 .004503 .014557 .057294 .017526 .004503 .017526 .006195 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .015888 .028543 .008487 .028543 .107597 .034322 .008487 .034322 .013196 ----------------------------------------------------------- Inverse of the covariance matrix is: 122.757210 -43.327512 33.740327 -43.327512 69.855833 -153.824347 33.740327 -153.824347 454.167726 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .693761 B= -.765854 C= .201801 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .613996 Bf*A + K = -1.062423 Cf= .187758 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0798 BDIFF= -.2966 CDIFF= -.0140 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 2.584 PROD1(1,2)= -15.101 PROD1(1,3)= 36.550 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 3.7591 ----------------------------------------------------------- The DIF RESULTS for ITEM 14 are: OBSERVED Chi-Square = 3.759080 Observed P-value = .288682 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 15 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .807644 Br= 1.304413 Cr= .122040 The VAR-COV matrix is: .018398 -.001276 .002871 -.001276 .012653 .001456 .002871 .001456 .000904 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .968919 Bf= 2.039156 Cf= .143139 The VAR-COV matrix is: .062792 -.028284 .003841 -.028284 .035131 -.000246 .003841 -.000246 .000502 ----------------------------------------------------------- The transformed focal group covariance matrix is: .060541 -.028284 .003772 -.028284 .036437 -.000251 .003772 -.000251 .000502 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .078939 -.029560 .006643 -.029560 .049090 .001205 .006643 .001205 .001406 ----------------------------------------------------------- Inverse of the covariance matrix is: 46.097056 33.817661 -246.776259 33.817661 45.618110 -198.880650 -246.776259 -198.880650 2047.627470 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .807644 B= 1.304413 C= .122040 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .951396 Bf*A + K = 1.167102 Cf= .143139 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .1438 BDIFF= -.1373 CDIFF= .0211 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -3.224 PROD1(1,2)= -5.599 PROD1(1,3)= 35.037 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 1.0446 ----------------------------------------------------------- The DIF RESULTS for ITEM 15 are: OBSERVED Chi-Square = 1.044586 Observed P-value = .790465 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 16 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .810925 Br= -.983561 Cr= .156154 The VAR-COV matrix is: .006750 .009267 .002411 .009267 .026815 .009395 .002411 .009395 .004947 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .917085 Bf= .216189 Cf= .144634 The VAR-COV matrix is: .015752 .010748 .004731 .010748 .018322 .006576 .004731 .006576 .002979 ----------------------------------------------------------- The transformed focal group covariance matrix is: .015187 .010748 .004645 .010748 .019003 .006697 .004645 .006697 .002979 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .021937 .020015 .007056 .020015 .045818 .016092 .007056 .016092 .007926 ----------------------------------------------------------- Inverse of the covariance matrix is: 75.793125 -32.795140 -.894045 -32.795140 90.256744 -154.050648 -.894045 -154.050648 439.731294 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .810925 B= -.983561 C= .156154 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .900499 Bf*A + K = -.689441 Cf= .144634 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0896 BDIFF= .2941 CDIFF= -.0115 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -2.846 PROD1(1,2)= 25.383 PROD1(1,3)= -50.455 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 7.7920 ----------------------------------------------------------- The DIF RESULTS for ITEM 16 are: OBSERVED Chi-Square = 7.792050 Observed P-value = .050511 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 17 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.105287 Br= -.037089 Cr= .090806 The VAR-COV matrix is: .011824 .005294 .002246 .005294 .006968 .002396 .002246 .002396 .001327 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.312848 Bf= .660205 Cf= .091011 The VAR-COV matrix is: .038061 .004437 .003809 .004437 .005010 .001407 .003809 .001407 .000841 ----------------------------------------------------------- The transformed focal group covariance matrix is: .036697 .004437 .003740 .004437 .005196 .001433 .003740 .001433 .000841 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .048521 .009731 .005986 .009731 .012164 .003829 .005986 .003829 .002168 ----------------------------------------------------------- Inverse of the covariance matrix is: 31.385934 4.886859 -95.291104 4.886859 185.877915 -341.773054 -95.291104 -341.773054 1327.971955 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.105287 B= -.037089 C= .090806 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.289105 Bf*A + K = -.237247 Cf= .091011 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .1838 BDIFF= -.2002 CDIFF= .0002 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 4.772 PROD1(1,2)= -36.377 PROD1(1,3)= 51.165 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 8.1687 ----------------------------------------------------------- The DIF RESULTS for ITEM 17 are: OBSERVED Chi-Square = 8.168679 Observed P-value = .042651 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 18 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.088458 Br= 1.380558 Cr= .048843 The VAR-COV matrix is: .023420 -.006007 .001345 -.006007 .007143 .000149 .001345 .000149 .000229 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .962336 Bf= 2.088472 Cf= .036542 The VAR-COV matrix is: .031665 -.021737 .001458 -.021737 .028616 -.000292 .001458 -.000292 .000174 ----------------------------------------------------------- The transformed focal group covariance matrix is: .030530 -.021737 .001432 -.021737 .029680 -.000297 .001432 -.000297 .000174 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .053950 -.027744 .002777 -.027744 .036823 -.000148 .002777 -.000148 .000403 ----------------------------------------------------------- Inverse of the covariance matrix is: 64.939242 47.195298 -430.048633 47.195298 61.497109 -302.528850 -430.048633 -302.528850 5332.997366 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.088458 B= 1.380558 C= .048843 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .944932 Bf*A + K = 1.217327 Cf= .036542 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1435 BDIFF= -.1632 CDIFF= -.0123 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -11.734 PROD1(1,2)= -13.091 PROD1(1,3)= 45.504 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 3.2612 ----------------------------------------------------------- The DIF RESULTS for ITEM 18 are: OBSERVED Chi-Square = 3.261218 Observed P-value = .353077 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 19 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.305089 Br= 1.216065 Cr= .028885 The VAR-COV matrix is: .023818 -.004100 .000787 -.004100 .003978 .000097 .000787 .000097 .000114 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.143711 Bf= 2.500958 Cf= .022648 The VAR-COV matrix is: .071671 -.050606 .001232 -.050606 .053732 -.000469 .001232 -.000469 .000064 ----------------------------------------------------------- The transformed focal group covariance matrix is: .069102 -.050606 .001210 -.050606 .055730 -.000478 .001210 -.000478 .000064 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .092920 -.054706 .001997 -.054706 .059708 -.000381 .001997 -.000381 .000178 ----------------------------------------------------------- Inverse of the covariance matrix is: 36.591819 31.337059 -343.457827 31.337059 43.816685 -257.825788 -343.457827 -257.825788 8919.384106 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.305089 B= 1.216065 C= .028885 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.123027 Bf*A + K = 1.637410 Cf= .022648 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1821 BDIFF= .4213 CDIFF= -.0062 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 8.684 PROD1(1,2)= 14.365 PROD1(1,3)= -101.733 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 5.1060 ----------------------------------------------------------- The DIF RESULTS for ITEM 19 are: OBSERVED Chi-Square = 5.105996 Observed P-value = .164198 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 20 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.734499 Br= 1.199768 Cr= .040119 The VAR-COV matrix is: .049743 -.003370 .001174 -.003370 .002852 .000113 .001174 .000113 .000116 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.401360 Bf= 1.974924 Cf= .021622 The VAR-COV matrix is: .060627 -.022834 .000734 -.022834 .015553 -.000078 .000734 -.000078 .000049 ----------------------------------------------------------- The transformed focal group covariance matrix is: .058454 -.022834 .000721 -.022834 .016131 -.000079 .000721 -.000079 .000049 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .108197 -.026204 .001895 -.026204 .018983 .000034 .001895 .000034 .000165 ----------------------------------------------------------- Inverse of the covariance matrix is: 20.332338 28.489373 -239.275128 28.489373 92.616001 -345.988137 -239.275128 -345.988137 8878.625331 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.734499 B= 1.199768 C= .040119 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.376016 Bf*A + K = 1.101687 Cf= .021622 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.3585 BDIFF= -.0981 CDIFF= -.0185 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -5.657 PROD1(1,2)= -12.897 PROD1(1,3)= -44.517 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 4.1164 ----------------------------------------------------------- The DIF RESULTS for ITEM 20 are: OBSERVED Chi-Square = 4.116393 Observed P-value = .249167 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 21 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .766112 Br= .922407 Cr= .209369 The VAR-COV matrix is: .021006 .007988 .005087 .007988 .020403 .005032 .005087 .005032 .002163 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .537902 Bf= 1.447672 Cf= .108738 The VAR-COV matrix is: .009636 -.001101 .002968 -.001101 .036057 .004580 .002968 .004580 .001889 ----------------------------------------------------------- The transformed focal group covariance matrix is: .009291 -.001101 .002914 -.001101 .037397 .004664 .002914 .004664 .001889 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .030297 .006887 .008001 .006887 .057800 .009696 .008001 .009696 .004052 ----------------------------------------------------------- Inverse of the covariance matrix is: 98.500630 34.905025 -278.032304 34.905025 41.273082 -167.691236 -278.032304 -167.691236 1197.092840 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .766112 B= .922407 C= .209369 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .528174 Bf*A + K = .564724 Cf= .108738 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.2379 BDIFF= -.3577 CDIFF= -.1006 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -7.943 PROD1(1,2)= -6.193 PROD1(1,3)= 5.670 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 3.5346 ----------------------------------------------------------- The DIF RESULTS for ITEM 21 are: OBSERVED Chi-Square = 3.534550 Observed P-value = .316309 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 22 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.234231 Br= 1.376958 Cr= .038148 The VAR-COV matrix is: .025384 -.005278 .000997 -.005278 .005417 .000104 .000997 .000104 .000143 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.305544 Bf= 2.503690 Cf= .028951 The VAR-COV matrix is: .121841 -.071478 .001182 -.071478 .059836 -.000363 .001182 -.000363 .000054 ----------------------------------------------------------- The transformed focal group covariance matrix is: .117474 -.071478 .001161 -.071478 .062060 -.000370 .001161 -.000370 .000054 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .142858 -.076756 .002158 -.076756 .067477 -.000266 .002158 -.000266 .000197 ----------------------------------------------------------- Inverse of the covariance matrix is: 26.330083 28.968990 -249.308345 28.968990 46.771257 -254.201523 -249.308345 -254.201523 7463.836028 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.234231 B= 1.376958 C= .038148 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.281933 Bf*A + K = 1.640192 Cf= .028951 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0477 BDIFF= .2632 CDIFF= -.0092 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 11.175 PROD1(1,2)= 16.032 PROD1(1,3)= -147.452 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 6.1092 ----------------------------------------------------------- The DIF RESULTS for ITEM 22 are: OBSERVED Chi-Square = 6.109215 Observed P-value = .106416 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 23 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .881759 Br= 1.490005 Cr= .096544 The VAR-COV matrix is: .024023 -.006449 .002641 -.006449 .013149 .000539 .002641 .000539 .000608 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .714291 Bf= 2.251043 Cf= .059787 The VAR-COV matrix is: .022362 -.024520 .002088 -.024520 .053167 -.000558 .002088 -.000558 .000427 ----------------------------------------------------------- The transformed focal group covariance matrix is: .021560 -.024520 .002050 -.024520 .055144 -.000568 .002050 -.000568 .000427 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .045583 -.030969 .004691 -.030969 .068293 -.000029 .004691 -.000029 .001035 ----------------------------------------------------------- Inverse of the covariance matrix is: 96.188817 43.432897 -434.756535 43.432897 34.254664 -195.894838 -434.756535 -195.894838 2931.218355 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .881759 B= 1.490005 C= .096544 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .701373 Bf*A + K = 1.382892 Cf= .059787 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1804 BDIFF= -.1071 CDIFF= -.0368 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -6.023 PROD1(1,2)= -4.303 PROD1(1,3)= -8.336 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 1.8538 ----------------------------------------------------------- The DIF RESULTS for ITEM 23 are: OBSERVED Chi-Square = 1.853811 Observed P-value = .603296 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 24 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .896751 Br= 1.335268 Cr= .110930 The VAR-COV matrix is: .024084 -.002931 .003097 -.002931 .011336 .001018 .003097 .001018 .000786 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .757783 Bf= 1.914365 Cf= .069780 The VAR-COV matrix is: .022751 -.015483 .002575 -.015483 .031103 .000021 .002575 .000021 .000588 ----------------------------------------------------------- The transformed focal group covariance matrix is: .021936 -.015483 .002528 -.015483 .032259 .000021 .002528 .000021 .000588 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .046020 -.018414 .005625 -.018414 .043595 .001039 .005625 .001039 .001374 ----------------------------------------------------------- Inverse of the covariance matrix is: 91.047231 48.213928 -409.237824 48.213928 48.891175 -234.382047 -409.237824 -234.382047 2580.605858 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .896751 B= 1.335268 C= .110930 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .744078 Bf*A + K = 1.040013 Cf= .069780 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1527 BDIFF= -.2953 CDIFF= -.0412 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -11.296 PROD1(1,2)= -12.152 PROD1(1,3)= 25.490 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 4.2634 ----------------------------------------------------------- The DIF RESULTS for ITEM 24 are: OBSERVED Chi-Square = 4.263427 Observed P-value = .234388 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 25 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.730654 Br= .845337 Cr= .046204 The VAR-COV matrix is: .038137 -.000404 .001167 -.000404 .002003 .000202 .001167 .000202 .000163 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.243466 Bf= 2.326619 Cf= .040420 The VAR-COV matrix is: .093949 -.051128 .001528 -.051128 .043118 -.000400 .001528 -.000400 .000090 ----------------------------------------------------------- The transformed focal group covariance matrix is: .090582 -.051128 .001500 -.051128 .044721 -.000407 .001500 -.000407 .000090 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .128719 -.051532 .002667 -.051532 .046724 -.000205 .002667 -.000205 .000253 ----------------------------------------------------------- Inverse of the covariance matrix is: 20.725088 21.975773 -200.665134 21.975773 44.780863 -195.339503 -200.665134 -195.339503 5909.608379 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.730654 B= .845337 C= .046204 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.220978 Bf*A + K = 1.459860 Cf= .040420 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.5097 BDIFF= .6145 CDIFF= -.0058 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 4.102 PROD1(1,2)= 17.448 PROD1(1,3)= -51.947 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 8.9320 ----------------------------------------------------------- The DIF RESULTS for ITEM 25 are: OBSERVED Chi-Square = 8.931984 Observed P-value = .030209 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 26 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.103916 Br= 1.074374 Cr= .035462 The VAR-COV matrix is: .015528 -.002662 .000917 -.002662 .004506 .000255 .000917 .000255 .000206 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.143502 Bf= 1.812652 Cf= .039075 The VAR-COV matrix is: .035873 -.013671 .001318 -.013671 .013286 -.000054 .001318 -.000054 .000144 ----------------------------------------------------------- The transformed focal group covariance matrix is: .034587 -.013671 .001294 -.013671 .013780 -.000055 .001294 -.000055 .000144 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .050115 -.016333 .002211 -.016333 .018286 .000200 .002211 .000200 .000350 ----------------------------------------------------------- Inverse of the covariance matrix is: 52.338942 50.682583 -359.619290 50.682583 104.109480 -379.685539 -359.619290 -379.685539 5346.046346 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.103916 B= 1.074374 C= .035462 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.122821 Bf*A + K = .936426 Cf= .039075 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0189 BDIFF= -.1379 CDIFF= .0036 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -7.301 PROD1(1,2)= -14.775 PROD1(1,3)= 64.893 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 2.1346 ----------------------------------------------------------- The DIF RESULTS for ITEM 26 are: OBSERVED Chi-Square = 2.134639 Observed P-value = .544937 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 27 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .530305 Br= .189303 Cr= .213902 The VAR-COV matrix is: .007346 .015852 .004662 .015852 .076179 .019886 .004662 .019886 .005940 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .648688 Bf= .942700 Cf= .203877 The VAR-COV matrix is: .015645 .011715 .005576 .011715 .039390 .009684 .005576 .009684 .003394 ----------------------------------------------------------- The transformed focal group covariance matrix is: .015084 .011715 .005475 .011715 .040854 .009862 .005475 .009862 .003394 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .022430 .027567 .010137 .027567 .117033 .029748 .010137 .029748 .009334 ----------------------------------------------------------- Inverse of the covariance matrix is: 96.067898 20.495839 -169.656413 20.495839 49.372288 -179.613706 -169.656413 -179.613706 863.836240 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .530305 B= .189303 C= .213902 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .636956 Bf*A + K = .050451 Cf= .203877 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .1067 BDIFF= -.1389 CDIFF= -.0100 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 9.101 PROD1(1,2)= -2.869 PROD1(1,3)= -1.814 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 1.3871 ----------------------------------------------------------- The DIF RESULTS for ITEM 27 are: OBSERVED Chi-Square = 1.387140 Observed P-value = .708552 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 28 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.444159 Br= .605811 Cr= .053682 The VAR-COV matrix is: .025859 .001327 .001679 .001327 .002581 .000499 .001679 .000499 .000346 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.223247 Bf= 2.004809 Cf= .055149 The VAR-COV matrix is: .064176 -.024218 .001826 -.024218 .019815 -.000195 .001826 -.000195 .000152 ----------------------------------------------------------- The transformed focal group covariance matrix is: .061876 -.024218 .001793 -.024218 .020552 -.000199 .001793 -.000199 .000152 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .087735 -.022891 .003472 -.022891 .023133 .000300 .003472 .000300 .000498 ----------------------------------------------------------- Inverse of the covariance matrix is: 27.526204 29.965593 -209.984417 29.965593 76.191434 -254.876251 -209.984417 -254.876251 3625.758764 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.444159 B= .605811 C= .053682 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.201124 Bf*A + K = 1.132123 Cf= .055149 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.2430 BDIFF= .5263 CDIFF= .0015 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 8.773 PROD1(1,2)= 32.444 PROD1(1,3)= -77.792 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 14.8292 ----------------------------------------------------------- The DIF RESULTS for ITEM 28 are: OBSERVED Chi-Square = 14.829221 Observed P-value = .001969 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 29 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .747668 Br= 3.200162 Cr= .169474 The VAR-COV matrix is: .081676 -.156044 .002848 -.156044 .453552 -.001123 .002848 -.001123 .000380 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .806438 Bf= 3.330644 Cf= .151421 The VAR-COV matrix is: .101939 -.170853 .002799 -.170853 .456113 -.001075 .002799 -.001075 .000296 ----------------------------------------------------------- The transformed focal group covariance matrix is: .098285 -.170853 .002748 -.170853 .473070 -.001095 .002748 -.001095 .000296 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .179961 -.326897 .005596 -.326897 .926622 -.002218 .005596 -.002218 .000676 ----------------------------------------------------------- Inverse of the covariance matrix is: 33.239952 11.155482 -238.583952 11.155482 4.831562 -76.501285 -238.583952 -76.501285 3203.464087 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .747668 B= 3.200162 C= .169474 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .791853 Bf*A + K = 2.482377 Cf= .151421 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0442 BDIFF= -.7178 CDIFF= -.0181 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -2.231 PROD1(1,2)= -1.594 PROD1(1,3)= -13.463 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 1.2886 ----------------------------------------------------------- The DIF RESULTS for ITEM 29 are: OBSERVED Chi-Square = 1.288620 Observed P-value = .731837 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 30 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.241267 Br= 1.632863 Cr= .030774 The VAR-COV matrix is: .033391 -.010038 .001053 -.010038 .008427 -.000027 .001053 -.000027 .000109 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.177151 Bf= 2.477076 Cf= .032284 The VAR-COV matrix is: .092560 -.057956 .001556 -.057956 .054113 -.000559 .001556 -.000559 .000079 ----------------------------------------------------------- The transformed focal group covariance matrix is: .089242 -.057956 .001528 -.057956 .056125 -.000569 .001528 -.000569 .000079 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .122633 -.067994 .002581 -.067994 .064552 -.000596 .002581 -.000596 .000188 ----------------------------------------------------------- Inverse of the covariance matrix is: 33.202993 31.691581 -355.290907 31.691581 46.208016 -288.499255 -355.290907 -288.499255 9281.515391 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.241267 B= 1.632863 C= .030774 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.155862 Bf*A + K = 1.613088 Cf= .032284 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0854 BDIFF= -.0198 CDIFF= .0015 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -3.999 PROD1(1,2)= -4.056 PROD1(1,3)= 50.064 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= .4973 ----------------------------------------------------------- The DIF RESULTS for ITEM 30 are: OBSERVED Chi-Square = .497330 Observed P-value = .919478 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 31 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.160141 Br= .730113 Cr= .102763 The VAR-COV matrix is: .024569 .002517 .002814 .002517 .005081 .001210 .002814 .001210 .000752 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.163220 Bf= 1.785457 Cf= .076121 The VAR-COV matrix is: .051916 -.015271 .002293 -.015271 .014237 -.000016 .002293 -.000016 .000257 ----------------------------------------------------------- The transformed focal group covariance matrix is: .050055 -.015271 .002252 -.015271 .014766 -.000016 .002252 -.000016 .000257 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .074624 -.012754 .005066 -.012754 .019847 .001194 .005066 .001194 .001009 ----------------------------------------------------------- Inverse of the covariance matrix is: 33.189980 33.751267 -206.554924 33.751267 88.566531 -274.222404 -206.554924 -274.222404 2352.478667 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.160141 B= .730113 C= .102763 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.142183 Bf*A + K = .908730 Cf= .076121 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0180 BDIFF= .1786 CDIFF= -.0266 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 10.936 PROD1(1,2)= 22.519 PROD1(1,3)= -107.946 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 6.7019 ----------------------------------------------------------- The DIF RESULTS for ITEM 31 are: OBSERVED Chi-Square = 6.701854 Observed P-value = .082033 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 32 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .814898 Br= 1.045867 Cr= .056892 The VAR-COV matrix is: .009871 -.001146 .001303 -.001146 .007666 .000860 .001303 .000860 .000501 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .948003 Bf= 1.693342 Cf= .065410 The VAR-COV matrix is: .026609 -.009956 .002029 -.009956 .014670 .000167 .002029 .000167 .000358 ----------------------------------------------------------- The transformed focal group covariance matrix is: .025655 -.009956 .001992 -.009956 .015215 .000170 .001992 .000170 .000358 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .035526 -.011102 .003295 -.011102 .022881 .001030 .003295 .001030 .000859 ----------------------------------------------------------- Inverse of the covariance matrix is: 80.541915 56.012029 -376.142964 56.012029 85.150567 -316.982835 -376.142964 -316.982835 2987.220153 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .814898 B= 1.045867 C= .056892 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .930858 Bf*A + K = .814919 Cf= .065410 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .1160 BDIFF= -.2309 CDIFF= .0085 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -6.800 PROD1(1,2)= -15.870 PROD1(1,3)= 55.034 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 3.3454 ----------------------------------------------------------- The DIF RESULTS for ITEM 32 are: OBSERVED Chi-Square = 3.345436 Observed P-value = .341369 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** ******************************************************************************* ROUTINE "PAIRDIF3" CONDUCTS A PAIRWISE (2-GROUP) DIF ANALYSIS for 3-PL model. It was written by Stephen Stark at UIUC and ast revised on 05/25/00. ******************************************************************************* *********************************************************** FOR ITEM: 1 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .866063 Br= .803284 Cr= .096492 The VAR-COV matrix is: .014218 .002785 .002676 .002785 .008805 .002051 .002676 .002051 .001071 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .878671 Bf= 1.870686 Cf= .069454 The VAR-COV matrix is: .030781 -.017015 .002402 -.017015 .024099 -.000190 .002402 -.000190 .000401 ----------------------------------------------------------- The transformed focal group covariance matrix is: .030124 -.017015 .002376 -.017015 .024624 -.000192 .002376 -.000192 .000401 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .044342 -.014230 .005052 -.014230 .033429 .001859 .005052 .001859 .001472 ----------------------------------------------------------- Inverse of the covariance matrix is: 74.989377 49.725674 -320.177858 49.725674 65.146590 -252.941545 -320.177858 -252.941545 2097.704091 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .866063 B= .803284 C= .096492 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .869250 Bf*A + K = .972534 Cf= .069454 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0032 BDIFF= .1693 CDIFF= -.0270 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 17.312 PROD1(1,2)= 18.024 PROD1(1,3)= -100.548 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 5.8243 ----------------------------------------------------------- The DIF RESULTS for ITEM 1 are: OBSERVED Chi-Square = 5.824290 Observed P-value = .120479 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 2 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .858818 Br= -.305237 Cr= .144617 The VAR-COV matrix is: .010034 .009911 .003682 .009911 .020476 .007547 .003682 .007547 .003588 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .629377 Bf= .474115 Cf= .167667 The VAR-COV matrix is: .010946 .012059 .004851 .012059 .041461 .012038 .004851 .012038 .004280 ----------------------------------------------------------- The transformed focal group covariance matrix is: .010713 .012059 .004799 .012059 .042365 .012168 .004799 .012168 .004280 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .020747 .021970 .008481 .021970 .062841 .019715 .008481 .019715 .007868 ----------------------------------------------------------- Inverse of the covariance matrix is: 86.457479 -4.622810 -81.609538 -4.622810 74.663091 -182.106271 -81.609538 -182.106271 671.382892 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .858818 B= -.305237 C= .144617 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .622629 Bf*A + K = -.439173 Cf= .167667 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.2362 BDIFF= -.1339 CDIFF= .0231 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -21.682 PROD1(1,2)= -13.106 PROD1(1,3)= 59.141 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 8.2397 ----------------------------------------------------------- The DIF RESULTS for ITEM 2 are: OBSERVED Chi-Square = 8.239671 Observed P-value = .041310 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 3 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.485390 Br= .438911 Cr= .082778 The VAR-COV matrix is: .029772 .003447 .002256 .003447 .002949 .000784 .002256 .000784 .000518 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.336454 Bf= 1.193691 Cf= .071828 The VAR-COV matrix is: .039673 -.002307 .002244 -.002307 .004980 .000435 .002244 .000435 .000332 ----------------------------------------------------------- The transformed focal group covariance matrix is: .038827 -.002307 .002220 -.002307 .005089 .000440 .002220 .000440 .000332 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .068599 .001140 .004476 .001140 .008038 .001224 .004476 .001224 .000850 ----------------------------------------------------------- Inverse of the covariance matrix is: 24.662788 20.843208 -159.876807 20.843208 176.957487 -364.515782 -159.876807 -364.515782 2543.132027 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.485390 B= .438911 C= .082778 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.322124 Bf*A + K = .288202 Cf= .071828 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1633 BDIFF= -.1507 CDIFF= -.0110 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -5.417 PROD1(1,2)= -26.081 PROD1(1,3)= 53.191 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 4.2326 ----------------------------------------------------------- The DIF RESULTS for ITEM 3 are: OBSERVED Chi-Square = 4.232605 Observed P-value = .237418 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 4 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .927920 Br= -.119494 Cr= .177819 The VAR-COV matrix is: .017012 .014018 .005713 .014018 .021646 .008236 .005713 .008236 .003857 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .882303 Bf= .976527 Cf= .108166 The VAR-COV matrix is: .019990 .003255 .003683 .003255 .011389 .002537 .003683 .002537 .001299 ----------------------------------------------------------- The transformed focal group covariance matrix is: .019564 .003255 .003644 .003255 .011637 .002564 .003644 .002564 .001299 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .036576 .017273 .009357 .017273 .033283 .010800 .009357 .010800 .005156 ----------------------------------------------------------- Inverse of the covariance matrix is: 52.386951 11.434304 -119.017690 11.434304 96.313639 -222.502008 -119.017690 -222.502008 876.012898 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .927920 B= -.119494 C= .177819 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .872843 Bf*A + K = .068684 Cf= .108166 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0551 BDIFF= .1882 CDIFF= -.0697 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 7.556 PROD1(1,2)= 32.992 PROD1(1,3)= -96.332 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 12.5020 ----------------------------------------------------------- The DIF RESULTS for ITEM 4 are: OBSERVED Chi-Square = 12.502030 Observed P-value = .005847 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 5 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.634194 Br= .452208 Cr= .147553 The VAR-COV matrix is: .060016 .006195 .004401 .006195 .003587 .001169 .004401 .001169 .000810 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.541467 Bf= 1.026648 Cf= .106113 The VAR-COV matrix is: .055698 .000564 .002852 .000564 .004121 .000611 .002852 .000611 .000409 ----------------------------------------------------------- The transformed focal group covariance matrix is: .054510 .000564 .002821 .000564 .004211 .000618 .002821 .000618 .000409 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .114526 .006759 .007222 .006759 .007798 .001787 .007222 .001787 .001219 ----------------------------------------------------------- Inverse of the covariance matrix is: 14.512316 10.721906 -101.698145 10.721906 200.999323 -358.119749 -101.698145 -358.119749 1947.769867 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.634194 B= .452208 C= .147553 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.524939 Bf*A + K = .119348 Cf= .106113 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1093 BDIFF= -.3329 CDIFF= -.0414 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -.940 PROD1(1,2)= -53.236 PROD1(1,3)= 49.599 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 15.7673 ----------------------------------------------------------- The DIF RESULTS for ITEM 5 are: OBSERVED Chi-Square = 15.767292 Observed P-value = .001266 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** DIF PRESENT for this item using CORRECTED P **** *********************************************************** FOR ITEM: 6 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .860986 Br= .030237 Cr= .207214 The VAR-COV matrix is: .015547 .014689 .005644 .014689 .026372 .009203 .005644 .009203 .003900 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .852394 Bf= .643728 Cf= .145713 The VAR-COV matrix is: .018583 .009170 .004904 .009170 .017527 .005426 .004904 .005426 .002388 ----------------------------------------------------------- The transformed focal group covariance matrix is: .018187 .009170 .004851 .009170 .017909 .005485 .004851 .005485 .002388 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .033734 .023859 .010495 .023859 .044281 .014688 .010495 .014688 .006288 ----------------------------------------------------------- Inverse of the covariance matrix is: 61.834152 4.071825 -112.719702 4.071825 100.543835 -241.651425 -112.719702 -241.651425 911.636521 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .860986 B= .030237 C= .207214 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .843254 Bf*A + K = -.267722 Cf= .145713 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0177 BDIFF= -.2980 CDIFF= -.0615 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 4.623 PROD1(1,2)= -15.168 PROD1(1,3)= 17.934 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 3.3346 ----------------------------------------------------------- The DIF RESULTS for ITEM 6 are: OBSERVED Chi-Square = 3.334596 Observed P-value = .342856 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 7 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.666654 Br= .329567 Cr= .062450 The VAR-COV matrix is: .034471 .003233 .002063 .003233 .002297 .000601 .002063 .000601 .000422 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.511596 Bf= 1.547591 Cf= .041911 The VAR-COV matrix is: .060356 -.009530 .001469 -.009530 .006156 .000047 .001469 .000047 .000122 ----------------------------------------------------------- The transformed focal group covariance matrix is: .059069 -.009530 .001453 -.009530 .006290 .000048 .001453 .000048 .000122 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .093540 -.006297 .003516 -.006297 .008587 .000649 .003516 .000649 .000544 ----------------------------------------------------------- Inverse of the covariance matrix is: 17.626520 23.659945 -142.137742 23.659945 159.732864 -343.350228 -142.137742 -343.350228 3166.282283 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.666654 B= .329567 C= .062450 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.495388 Bf*A + K = .645937 Cf= .041911 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1713 BDIFF= .3164 CDIFF= -.0205 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 7.386 PROD1(1,2)= 53.535 PROD1(1,3)= -149.315 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 18.7386 ----------------------------------------------------------- The DIF RESULTS for ITEM 7 are: OBSERVED Chi-Square = 18.738618 Observed P-value = .000310 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** DIF PRESENT for this item using CORRECTED P **** *********************************************************** FOR ITEM: 8 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .664463 Br= .313520 Cr= .132913 The VAR-COV matrix is: .007863 .007845 .003136 .007845 .024453 .007252 .003136 .007252 .002804 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .993882 Bf= .845743 Cf= .127568 The VAR-COV matrix is: .023531 .005163 .003975 .005163 .010137 .002642 .003975 .002642 .001317 ----------------------------------------------------------- The transformed focal group covariance matrix is: .023029 .005163 .003932 .005163 .010358 .002671 .003932 .002671 .001317 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .030892 .013008 .007068 .013008 .034811 .009923 .007068 .009923 .004121 ----------------------------------------------------------- Inverse of the covariance matrix is: 57.821372 21.242323 -150.323515 21.242323 99.387549 -275.742579 -150.323515 -275.742579 1164.434991 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .664463 B= .313520 C= .132913 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .983225 Bf*A + K = -.063518 Cf= .127568 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .3188 BDIFF= -.3770 CDIFF= -.0053 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 11.226 PROD1(1,2)= -29.228 PROD1(1,3)= 49.824 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 14.3319 ----------------------------------------------------------- The DIF RESULTS for ITEM 8 are: OBSERVED Chi-Square = 14.331948 Observed P-value = .002486 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 9 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.247005 Br= .404733 Cr= .093640 The VAR-COV matrix is: .022400 .004330 .002749 .004330 .004578 .001412 .002749 .001412 .000847 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.201623 Bf= 1.055254 Cf= .042811 The VAR-COV matrix is: .022937 -.001862 .001524 -.001862 .004626 .000440 .001524 .000440 .000302 ----------------------------------------------------------- The transformed focal group covariance matrix is: .022448 -.001862 .001508 -.001862 .004727 .000445 .001508 .000445 .000302 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .044848 .002468 .004257 .002468 .009305 .001857 .004257 .001857 .001149 ----------------------------------------------------------- Inverse of the covariance matrix is: 38.472793 26.916866 -186.026087 26.916866 177.453689 -386.480784 -186.026087 -386.480784 2184.034105 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.247005 B= .404733 C= .093640 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.188739 Bf*A + K = .148264 Cf= .042811 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0583 BDIFF= -.2565 CDIFF= -.0508 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= .311 PROD1(1,2)= -27.435 PROD1(1,3)= -1.053 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 7.0717 ----------------------------------------------------------- The DIF RESULTS for ITEM 9 are: OBSERVED Chi-Square = 7.071713 Observed P-value = .069647 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 10 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .937144 Br= .475559 Cr= .186088 The VAR-COV matrix is: .020248 .009354 .004601 .009354 .013597 .004379 .004601 .004379 .002030 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .821374 Bf= 1.358367 Cf= .096395 The VAR-COV matrix is: .020380 -.002427 .003142 -.002427 .014058 .001451 .003142 .001451 .000940 ----------------------------------------------------------- The transformed focal group covariance matrix is: .019945 -.002427 .003108 -.002427 .014364 .001467 .003108 .001467 .000940 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .040193 .006927 .007709 .006927 .027961 .005846 .007709 .005846 .002970 ----------------------------------------------------------- Inverse of the covariance matrix is: 62.309289 31.227236 -223.201199 31.227236 76.420009 -231.471697 -223.201199 -231.471697 1371.665885 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .937144 B= .475559 C= .186088 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .812567 Bf*A + K = .454662 Cf= .096395 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1246 BDIFF= -.0209 CDIFF= -.0897 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 11.605 PROD1(1,2)= 15.274 PROD1(1,3)= -90.386 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 6.3421 ----------------------------------------------------------- The DIF RESULTS for ITEM 10 are: OBSERVED Chi-Square = 6.342142 Observed P-value = .096100 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 11 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .715880 Br= 1.126553 Cr= .097424 The VAR-COV matrix is: .012272 .000503 .002653 .000503 .013974 .002250 .002653 .002250 .001170 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .852275 Bf= 1.763934 Cf= .087081 The VAR-COV matrix is: .027440 -.010978 .002856 -.010978 .020451 .000322 .002856 .000322 .000586 ----------------------------------------------------------- The transformed focal group covariance matrix is: .026855 -.010978 .002825 -.010978 .020897 .000325 .002825 .000325 .000586 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .039127 -.010475 .005478 -.010475 .034871 .002575 .005478 .002575 .001756 ----------------------------------------------------------- Inverse of the covariance matrix is: 90.776046 54.039529 -362.462250 54.039529 64.331333 -262.946265 -362.462250 -262.946265 2085.945607 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .715880 B= 1.126553 C= .097424 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .843137 Bf*A + K = .864625 Cf= .087081 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .1273 BDIFF= -.2619 CDIFF= -.0103 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 1.146 PROD1(1,2)= -7.254 PROD1(1,3)= 1.172 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 2.0337 ----------------------------------------------------------- The DIF RESULTS for ITEM 11 are: OBSERVED Chi-Square = 2.033682 Observed P-value = .565445 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 12 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.275190 Br= -.120518 Cr= .128990 The VAR-COV matrix is: .021390 .008867 .004115 .008867 .008270 .003355 .004115 .003355 .001957 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.212721 Bf= .513385 Cf= .128740 The VAR-COV matrix is: .029734 .007952 .004388 .007952 .007916 .002620 .004388 .002620 .001356 ----------------------------------------------------------- The transformed focal group covariance matrix is: .029100 .007952 .004341 .007952 .008089 .002648 .004341 .002648 .001356 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .050490 .016819 .008456 .016819 .016359 .006003 .008456 .006003 .003313 ----------------------------------------------------------- Inverse of the covariance matrix is: 35.089329 -9.580545 -72.199769 -9.580545 185.099797 -310.961324 -72.199769 -310.961324 1049.605150 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.275190 B= -.120518 C= .128990 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.199718 Bf*A + K = -.399478 Cf= .128740 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0755 BDIFF= -.2790 CDIFF= -.0003 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= .042 PROD1(1,2)= -50.835 PROD1(1,3)= 91.932 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 14.1546 ----------------------------------------------------------- The DIF RESULTS for ITEM 12 are: OBSERVED Chi-Square = 14.154627 Observed P-value = .002702 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 13 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.578180 Br= .324160 Cr= .082490 The VAR-COV matrix is: .036367 .004345 .002689 .004345 .002859 .000854 .002689 .000854 .000581 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.631622 Bf= 1.444123 Cf= .044791 The VAR-COV matrix is: .066435 -.007870 .001503 -.007870 .004927 .000088 .001503 .000088 .000126 ----------------------------------------------------------- The transformed focal group covariance matrix is: .065018 -.007870 .001487 -.007870 .005034 .000089 .001487 .000089 .000126 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .101385 -.003525 .004176 -.003525 .007893 .000943 .004176 .000943 .000707 ----------------------------------------------------------- Inverse of the covariance matrix is: 15.562814 21.329493 -120.369508 21.329493 179.932390 -365.965246 -120.369508 -365.965246 2613.490071 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.578180 B= .324160 C= .082490 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.614127 Bf*A + K = .541348 Cf= .044791 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0359 BDIFF= .2172 CDIFF= -.0377 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 9.730 PROD1(1,2)= 53.642 PROD1(1,3)= -182.336 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 18.8741 ----------------------------------------------------------- The DIF RESULTS for ITEM 13 are: OBSERVED Chi-Square = 18.874134 Observed P-value = .000290 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** DIF PRESENT for this item using CORRECTED P **** *********************************************************** FOR ITEM: 14 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .693761 Br= -.765854 Cr= .201801 The VAR-COV matrix is: .007409 .013986 .003984 .013986 .050303 .016796 .003984 .016796 .007001 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .625305 Bf= -.150048 Cf= .187758 The VAR-COV matrix is: .008794 .014557 .004586 .014557 .055240 .017209 .004586 .017209 .006195 ----------------------------------------------------------- The transformed focal group covariance matrix is: .008606 .014557 .004537 .014557 .056444 .017396 .004537 .017396 .006195 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .016015 .028543 .008521 .028543 .106747 .034192 .008521 .034192 .013196 ----------------------------------------------------------- Inverse of the covariance matrix is: 121.785537 -43.368671 33.731969 -43.368671 70.525356 -154.731129 33.731969 -154.731129 454.915720 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .693761 B= -.765854 C= .201801 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .618600 Bf*A + K = -1.070101 Cf= .187758 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0752 BDIFF= -.3042 CDIFF= -.0140 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 3.568 PROD1(1,2)= -16.025 PROD1(1,3)= 38.153 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 4.0715 ----------------------------------------------------------- The DIF RESULTS for ITEM 14 are: OBSERVED Chi-Square = 4.071530 Observed P-value = .253843 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 15 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .807644 Br= 1.304413 Cr= .122040 The VAR-COV matrix is: .018398 -.001276 .002871 -.001276 .012653 .001456 .002871 .001456 .000904 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .968919 Bf= 2.039156 Cf= .143139 The VAR-COV matrix is: .062792 -.028284 .003841 -.028284 .035131 -.000246 .003841 -.000246 .000502 ----------------------------------------------------------- The transformed focal group covariance matrix is: .061453 -.028284 .003800 -.028284 .035897 -.000249 .003800 -.000249 .000502 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .079851 -.029560 .006671 -.029560 .048550 .001207 .006671 .001207 .001406 ----------------------------------------------------------- Inverse of the covariance matrix is: 45.471292 33.771907 -244.740109 33.771907 46.129585 -199.843519 -244.740109 -199.843519 2044.021401 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .807644 B= 1.304413 C= .122040 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .958530 Bf*A + K = 1.142830 Cf= .143139 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .1509 BDIFF= -.1616 CDIFF= .0211 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -3.760 PROD1(1,2)= -6.575 PROD1(1,3)= 38.490 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 1.3071 ----------------------------------------------------------- The DIF RESULTS for ITEM 15 are: OBSERVED Chi-Square = 1.307145 Observed P-value = .727437 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 16 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .810925 Br= -.983561 Cr= .156154 The VAR-COV matrix is: .006750 .009267 .002411 .009267 .026815 .009395 .002411 .009395 .004947 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .917085 Bf= .216189 Cf= .144634 The VAR-COV matrix is: .015752 .010748 .004731 .010748 .018322 .006576 .004731 .006576 .002979 ----------------------------------------------------------- The transformed focal group covariance matrix is: .015416 .010748 .004680 .010748 .018721 .006647 .004680 .006647 .002979 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .022166 .020015 .007091 .020015 .045536 .016042 .007091 .016042 .007926 ----------------------------------------------------------- Inverse of the covariance matrix is: 74.805872 -32.415890 -1.317730 -32.415890 90.577580 -154.327574 -1.317730 -154.327574 439.705968 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .810925 B= -.983561 C= .156154 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .907252 Bf*A + K = -.699895 Cf= .144634 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0963 BDIFF= .2837 CDIFF= -.0115 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -1.974 PROD1(1,2)= 24.349 PROD1(1,3)= -48.970 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 7.2810 ----------------------------------------------------------- The DIF RESULTS for ITEM 16 are: OBSERVED Chi-Square = 7.280975 Observed P-value = .063461 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 17 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.105287 Br= -.037089 Cr= .090806 The VAR-COV matrix is: .011824 .005294 .002246 .005294 .006968 .002396 .002246 .002396 .001327 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.312848 Bf= .660205 Cf= .091011 The VAR-COV matrix is: .038061 .004437 .003809 .004437 .005010 .001407 .003809 .001407 .000841 ----------------------------------------------------------- The transformed focal group covariance matrix is: .037249 .004437 .003768 .004437 .005119 .001422 .003768 .001422 .000841 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .049073 .009731 .006014 .009731 .012087 .003818 .006014 .003818 .002168 ----------------------------------------------------------- Inverse of the covariance matrix is: 31.006507 4.978627 -94.782152 4.978627 187.278050 -343.642341 -94.782152 -343.642341 1329.403686 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.105287 B= -.037089 C= .090806 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.298771 Bf*A + K = -.251066 Cf= .091011 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .1935 BDIFF= -.2140 CDIFF= .0002 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 4.915 PROD1(1,2)= -39.180 PROD1(1,3)= 55.465 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 9.3460 ----------------------------------------------------------- The DIF RESULTS for ITEM 17 are: OBSERVED Chi-Square = 9.345989 Observed P-value = .025027 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 18 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.088458 Br= 1.380558 Cr= .048843 The VAR-COV matrix is: .023420 -.006007 .001345 -.006007 .007143 .000149 .001345 .000149 .000229 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .962336 Bf= 2.088472 Cf= .036542 The VAR-COV matrix is: .031665 -.021737 .001458 -.021737 .028616 -.000292 .001458 -.000292 .000174 ----------------------------------------------------------- The transformed focal group covariance matrix is: .030990 -.021737 .001442 -.021737 .029240 -.000295 .001442 -.000295 .000174 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .054410 -.027744 .002787 -.027744 .036383 -.000146 .002787 -.000146 .000403 ----------------------------------------------------------- Inverse of the covariance matrix is: 64.686219 47.599124 -430.141242 47.599124 62.551371 -306.534546 -430.141242 -306.534546 5345.302650 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.088458 B= 1.380558 C= .048843 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .952018 Bf*A + K = 1.192681 Cf= .036542 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1364 BDIFF= -.1879 CDIFF= -.0123 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -12.477 PROD1(1,2)= -14.476 PROD1(1,3)= 50.527 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 3.8006 ----------------------------------------------------------- The DIF RESULTS for ITEM 18 are: OBSERVED Chi-Square = 3.800560 Observed P-value = .283821 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 19 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.305089 Br= 1.216065 Cr= .028885 The VAR-COV matrix is: .023818 -.004100 .000787 -.004100 .003978 .000097 .000787 .000097 .000114 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.143711 Bf= 2.500958 Cf= .022648 The VAR-COV matrix is: .071671 -.050606 .001232 -.050606 .053732 -.000469 .001232 -.000469 .000064 ----------------------------------------------------------- The transformed focal group covariance matrix is: .070142 -.050606 .001219 -.050606 .054903 -.000474 .001219 -.000474 .000064 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .093960 -.054706 .002006 -.054706 .058881 -.000377 .002006 -.000377 .000178 ----------------------------------------------------------- Inverse of the covariance matrix is: 36.329934 31.560326 -342.524486 31.560326 44.633875 -261.082649 -342.524486 -261.082649 8924.620233 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.305089 B= 1.216065 C= .028885 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.131448 Bf*A + K = 1.609637 Cf= .022648 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1736 BDIFF= .3936 CDIFF= -.0062 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 8.249 PROD1(1,2)= 13.715 PROD1(1,3)= -98.941 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 4.5825 ----------------------------------------------------------- The DIF RESULTS for ITEM 19 are: OBSERVED Chi-Square = 4.582482 Observed P-value = .205050 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 20 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.734499 Br= 1.199768 Cr= .040119 The VAR-COV matrix is: .049743 -.003370 .001174 -.003370 .002852 .000113 .001174 .000113 .000116 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.401360 Bf= 1.974924 Cf= .021622 The VAR-COV matrix is: .060627 -.022834 .000734 -.022834 .015553 -.000078 .000734 -.000078 .000049 ----------------------------------------------------------- The transformed focal group covariance matrix is: .059334 -.022834 .000726 -.022834 .015892 -.000079 .000726 -.000079 .000049 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .109077 -.026204 .001900 -.026204 .018744 .000034 .001900 .000034 .000165 ----------------------------------------------------------- Inverse of the covariance matrix is: 20.226635 28.712031 -238.872019 28.712031 94.127818 -350.130229 -238.872019 -350.130229 8883.917757 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.734499 B= 1.199768 C= .040119 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.386334 Bf*A + K = 1.077902 Cf= .021622 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.3482 BDIFF= -.1219 CDIFF= -.0185 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -6.123 PROD1(1,2)= -14.991 PROD1(1,3)= -38.490 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 4.6706 ----------------------------------------------------------- The DIF RESULTS for ITEM 20 are: OBSERVED Chi-Square = 4.670606 Observed P-value = .197568 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 21 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .766112 Br= .922407 Cr= .209369 The VAR-COV matrix is: .021006 .007988 .005087 .007988 .020403 .005032 .005087 .005032 .002163 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .537902 Bf= 1.447672 Cf= .108738 The VAR-COV matrix is: .009636 -.001101 .002968 -.001101 .036057 .004580 .002968 .004580 .001889 ----------------------------------------------------------- The transformed focal group covariance matrix is: .009430 -.001101 .002936 -.001101 .036843 .004630 .002936 .004630 .001889 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .030436 .006887 .008023 .006887 .057246 .009662 .008023 .009662 .004052 ----------------------------------------------------------- Inverse of the covariance matrix is: 98.347196 35.199442 -278.662697 35.199442 41.830733 -169.438503 -278.662697 -169.438503 1202.570043 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .766112 B= .922407 C= .209369 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .532135 Bf*A + K = .544935 Cf= .108738 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.2340 BDIFF= -.3775 CDIFF= -.1006 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -8.256 PROD1(1,2)= -6.975 PROD1(1,3)= 8.143 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 3.7451 ----------------------------------------------------------- The DIF RESULTS for ITEM 21 are: OBSERVED Chi-Square = 3.745067 Observed P-value = .290341 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 22 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.234231 Br= 1.376958 Cr= .038148 The VAR-COV matrix is: .025384 -.005278 .000997 -.005278 .005417 .000104 .000997 .000104 .000143 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.305544 Bf= 2.503690 Cf= .028951 The VAR-COV matrix is: .121841 -.071478 .001182 -.071478 .059836 -.000363 .001182 -.000363 .000054 ----------------------------------------------------------- The transformed focal group covariance matrix is: .119242 -.071478 .001169 -.071478 .061140 -.000367 .001169 -.000367 .000054 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .144626 -.076756 .002166 -.076756 .066557 -.000263 .002166 -.000263 .000197 ----------------------------------------------------------- Inverse of the covariance matrix is: 26.045044 29.057836 -247.623162 29.057836 47.523476 -256.107635 -247.623162 -256.107635 7457.325376 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.234231 B= 1.376958 C= .038148 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.291546 Bf*A + K = 1.612399 Cf= .028951 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0573 BDIFF= .2354 CDIFF= -.0092 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 10.612 PROD1(1,2)= 15.210 PROD1(1,3)= -143.076 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 5.5051 ----------------------------------------------------------- The DIF RESULTS for ITEM 22 are: OBSERVED Chi-Square = 5.505083 Observed P-value = .138335 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 23 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .881759 Br= 1.490005 Cr= .096544 The VAR-COV matrix is: .024023 -.006449 .002641 -.006449 .013149 .000539 .002641 .000539 .000608 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .714291 Bf= 2.251043 Cf= .059787 The VAR-COV matrix is: .022362 -.024520 .002088 -.024520 .053167 -.000558 .002088 -.000558 .000427 ----------------------------------------------------------- The transformed focal group covariance matrix is: .021885 -.024520 .002066 -.024520 .054326 -.000564 .002066 -.000564 .000427 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .045908 -.030969 .004707 -.030969 .067475 -.000025 .004707 -.000025 .001035 ----------------------------------------------------------- Inverse of the covariance matrix is: 96.197471 43.989931 -436.388725 43.989931 34.936554 -199.196575 -436.388725 -199.196575 2945.819333 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .881759 B= 1.490005 C= .096544 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .706632 Bf*A + K = 1.357014 Cf= .059787 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1751 BDIFF= -.1330 CDIFF= -.0368 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -6.657 PROD1(1,2)= -5.028 PROD1(1,3)= -5.365 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 2.0317 ----------------------------------------------------------- The DIF RESULTS for ITEM 23 are: OBSERVED Chi-Square = 2.031664 Observed P-value = .565861 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 24 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .896751 Br= 1.335268 Cr= .110930 The VAR-COV matrix is: .024084 -.002931 .003097 -.002931 .011336 .001018 .003097 .001018 .000786 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .757783 Bf= 1.914365 Cf= .069780 The VAR-COV matrix is: .022751 -.015483 .002575 -.015483 .031103 .000021 .002575 .000021 .000588 ----------------------------------------------------------- The transformed focal group covariance matrix is: .022266 -.015483 .002547 -.015483 .031781 .000021 .002547 .000021 .000588 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .046350 -.018414 .005644 -.018414 .043117 .001039 .005644 .001039 .001374 ----------------------------------------------------------- Inverse of the covariance matrix is: 90.845210 48.679755 -410.011043 48.679755 49.708670 -237.573625 -410.011043 -237.573625 2591.816203 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .896751 B= 1.335268 C= .110930 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .749658 Bf*A + K = 1.016687 Cf= .069780 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1471 BDIFF= -.3186 CDIFF= -.0412 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -11.999 PROD1(1,2)= -13.221 PROD1(1,3)= 29.343 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 4.7694 ----------------------------------------------------------- The DIF RESULTS for ITEM 24 are: OBSERVED Chi-Square = 4.769357 Observed P-value = .189486 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 25 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.730654 Br= .845337 Cr= .046204 The VAR-COV matrix is: .038137 -.000404 .001167 -.000404 .002003 .000202 .001167 .000202 .000163 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.243466 Bf= 2.326619 Cf= .040420 The VAR-COV matrix is: .093949 -.051128 .001528 -.051128 .043118 -.000400 .001528 -.000400 .000090 ----------------------------------------------------------- The transformed focal group covariance matrix is: .091945 -.051128 .001512 -.051128 .044058 -.000404 .001512 -.000404 .000090 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .130082 -.051532 .002679 -.051532 .046061 -.000202 .002679 -.000202 .000253 ----------------------------------------------------------- Inverse of the covariance matrix is: 20.586163 22.151862 -200.238463 22.151862 45.623653 -198.043740 -200.238463 -198.043740 5914.192895 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.730654 B= .845337 C= .046204 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.230133 Bf*A + K = 1.433409 Cf= .040420 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.5005 BDIFF= .5881 CDIFF= -.0058 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 3.881 PROD1(1,2)= 16.888 PROD1(1,3)= -50.448 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 8.2805 ----------------------------------------------------------- The DIF RESULTS for ITEM 25 are: OBSERVED Chi-Square = 8.280496 Observed P-value = .040557 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 26 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.103916 Br= 1.074374 Cr= .035462 The VAR-COV matrix is: .015528 -.002662 .000917 -.002662 .004506 .000255 .000917 .000255 .000206 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.143502 Bf= 1.812652 Cf= .039075 The VAR-COV matrix is: .035873 -.013671 .001318 -.013671 .013286 -.000054 .001318 -.000054 .000144 ----------------------------------------------------------- The transformed focal group covariance matrix is: .035108 -.013671 .001304 -.013671 .013576 -.000055 .001304 -.000055 .000144 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .050636 -.016333 .002221 -.016333 .018082 .000200 .002221 .000200 .000350 ----------------------------------------------------------- Inverse of the covariance matrix is: 51.830136 50.785562 -357.960209 50.785562 105.420260 -382.616602 -357.960209 -382.616602 5347.612676 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.103916 B= 1.074374 C= .035462 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.131241 Bf*A + K = .913871 Cf= .039075 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0273 BDIFF= -.1605 CDIFF= .0036 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -8.028 PROD1(1,2)= -16.915 PROD1(1,3)= 70.951 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 2.7519 ----------------------------------------------------------- The DIF RESULTS for ITEM 26 are: OBSERVED Chi-Square = 2.751863 Observed P-value = .431486 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 27 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .530305 Br= .189303 Cr= .213902 The VAR-COV matrix is: .007346 .015852 .004662 .015852 .076179 .019886 .004662 .019886 .005940 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .648688 Bf= .942700 Cf= .203877 The VAR-COV matrix is: .015645 .011715 .005576 .011715 .039390 .009684 .005576 .009684 .003394 ----------------------------------------------------------- The transformed focal group covariance matrix is: .015311 .011715 .005516 .011715 .040248 .009789 .005516 .009789 .003394 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .022657 .027567 .010178 .027567 .116427 .029675 .010178 .029675 .009334 ----------------------------------------------------------- Inverse of the covariance matrix is: 95.068425 20.628594 -169.249987 20.628594 49.758046 -180.686758 -169.249987 -180.686758 866.138266 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .530305 B= .189303 C= .213902 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .641733 Bf*A + K = .034490 Cf= .203877 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .1114 BDIFF= -.1548 CDIFF= -.0100 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 9.096 PROD1(1,2)= -3.593 PROD1(1,3)= .430 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 1.5655 ----------------------------------------------------------- The DIF RESULTS for ITEM 27 are: OBSERVED Chi-Square = 1.565549 Observed P-value = .667226 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 28 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.444159 Br= .605811 Cr= .053682 The VAR-COV matrix is: .025859 .001327 .001679 .001327 .002581 .000499 .001679 .000499 .000346 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.223247 Bf= 2.004809 Cf= .055149 The VAR-COV matrix is: .064176 -.024218 .001826 -.024218 .019815 -.000195 .001826 -.000195 .000152 ----------------------------------------------------------- The transformed focal group covariance matrix is: .062807 -.024218 .001806 -.024218 .020247 -.000197 .001806 -.000197 .000152 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .088666 -.022891 .003485 -.022891 .022828 .000302 .003485 .000302 .000498 ----------------------------------------------------------- Inverse of the covariance matrix is: 27.274964 30.116306 -209.149493 30.116306 77.413793 -257.707220 -209.149493 -257.707220 3628.057095 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.444159 B= .605811 C= .053682 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.210131 Bf*A + K = 1.108111 Cf= .055149 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.2340 BDIFF= .5023 CDIFF= .0015 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 8.437 PROD1(1,2)= 31.459 PROD1(1,3)= -75.177 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 13.7169 ----------------------------------------------------------- The DIF RESULTS for ITEM 28 are: OBSERVED Chi-Square = 13.716870 Observed P-value = .003317 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 29 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .747668 Br= 3.200162 Cr= .169474 The VAR-COV matrix is: .081676 -.156044 .002848 -.156044 .453552 -.001123 .002848 -.001123 .000380 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .806438 Bf= 3.330644 Cf= .151421 The VAR-COV matrix is: .101939 -.170853 .002799 -.170853 .456113 -.001075 .002799 -.001075 .000296 ----------------------------------------------------------- The transformed focal group covariance matrix is: .099765 -.170853 .002769 -.170853 .466054 -.001087 .002769 -.001087 .000296 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .181441 -.326897 .005617 -.326897 .919606 -.002210 .005617 -.002210 .000676 ----------------------------------------------------------- Inverse of the covariance matrix is: 32.860429 11.112272 -236.719544 11.112272 4.853821 -76.467832 -236.719544 -76.467832 3196.277726 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .747668 B= 3.200162 C= .169474 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .797791 Bf*A + K = 2.448316 Cf= .151421 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0501 BDIFF= -.7518 CDIFF= -.0181 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -2.434 PROD1(1,2)= -1.712 PROD1(1,3)= -12.075 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 1.3831 ----------------------------------------------------------- The DIF RESULTS for ITEM 29 are: OBSERVED Chi-Square = 1.383055 Observed P-value = .709512 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 30 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.241267 Br= 1.632863 Cr= .030774 The VAR-COV matrix is: .033391 -.010038 .001053 -.010038 .008427 -.000027 .001053 -.000027 .000109 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.177151 Bf= 2.477076 Cf= .032284 The VAR-COV matrix is: .092560 -.057956 .001556 -.057956 .054113 -.000559 .001556 -.000559 .000079 ----------------------------------------------------------- The transformed focal group covariance matrix is: .090586 -.057956 .001539 -.057956 .055292 -.000565 .001539 -.000565 .000079 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .123977 -.067994 .002592 -.067994 .063719 -.000592 .002592 -.000592 .000188 ----------------------------------------------------------- Inverse of the covariance matrix is: 32.938343 31.860190 -353.848416 31.860190 46.984219 -291.352537 -353.848416 -291.352537 9280.793727 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.241267 B= 1.632863 C= .030774 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.164529 Bf*A + K = 1.585496 Cf= .032284 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0767 BDIFF= -.0474 CDIFF= .0015 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -4.571 PROD1(1,2)= -5.110 PROD1(1,3)= 54.968 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= .6758 ----------------------------------------------------------- The DIF RESULTS for ITEM 30 are: OBSERVED Chi-Square = .675828 Observed P-value = .878874 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 31 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.160141 Br= .730113 Cr= .102763 The VAR-COV matrix is: .024569 .002517 .002814 .002517 .005081 .001210 .002814 .001210 .000752 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.163220 Bf= 1.785457 Cf= .076121 The VAR-COV matrix is: .051916 -.015271 .002293 -.015271 .014237 -.000016 .002293 -.000016 .000257 ----------------------------------------------------------- The transformed focal group covariance matrix is: .050809 -.015271 .002268 -.015271 .014547 -.000016 .002268 -.000016 .000257 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .075378 -.012754 .005082 -.012754 .019628 .001194 .005082 .001194 .001009 ----------------------------------------------------------- Inverse of the covariance matrix is: 32.849995 33.844785 -205.512465 33.844785 89.767171 -276.689441 -205.512465 -276.689441 2353.635928 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.160141 B= .730113 C= .102763 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.150748 Bf*A + K = .886381 Cf= .076121 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0094 BDIFF= .1563 CDIFF= -.0266 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 10.456 PROD1(1,2)= 21.081 PROD1(1,3)= -104.013 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 5.9673 ----------------------------------------------------------- The DIF RESULTS for ITEM 31 are: OBSERVED Chi-Square = 5.967262 Observed P-value = .113214 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 32 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .814898 Br= 1.045867 Cr= .056892 The VAR-COV matrix is: .009871 -.001146 .001303 -.001146 .007666 .000860 .001303 .000860 .000501 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .948003 Bf= 1.693342 Cf= .065410 The VAR-COV matrix is: .026609 -.009956 .002029 -.009956 .014670 .000167 .002029 .000167 .000358 ----------------------------------------------------------- The transformed focal group covariance matrix is: .026041 -.009956 .002007 -.009956 .014990 .000169 .002007 .000169 .000358 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .035912 -.011102 .003310 -.011102 .022656 .001029 .003310 .001029 .000859 ----------------------------------------------------------- Inverse of the covariance matrix is: 79.617170 55.992727 -373.874498 55.992727 86.055901 -318.841445 -373.874498 -318.841445 2986.779214 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .814898 B= 1.045867 C= .056892 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .937838 Bf*A + K = .793268 Cf= .065410 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .1229 BDIFF= -.2526 CDIFF= .0085 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -7.540 PROD1(1,2)= -17.570 PROD1(1,3)= 60.016 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 4.0223 ----------------------------------------------------------- The DIF RESULTS for ITEM 32 are: OBSERVED Chi-Square = 4.022324 Observed P-value = .259064 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** ******************************************************************************* ROUTINE "PAIRDIF3" CONDUCTS A PAIRWISE (2-GROUP) DIF ANALYSIS for 3-PL model. It was written by Stephen Stark at UIUC and ast revised on 05/25/00. ******************************************************************************* *********************************************************** FOR ITEM: 1 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .866063 Br= .803284 Cr= .096492 The VAR-COV matrix is: .014218 .002785 .002676 .002785 .008805 .002051 .002676 .002051 .001071 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .878671 Bf= 1.870686 Cf= .069454 The VAR-COV matrix is: .030781 -.017015 .002402 -.017015 .024099 -.000190 .002402 -.000190 .000401 ----------------------------------------------------------- The transformed focal group covariance matrix is: .030104 -.017015 .002375 -.017015 .024641 -.000192 .002375 -.000192 .000401 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .044322 -.014230 .005051 -.014230 .033446 .001859 .005051 .001859 .001472 ----------------------------------------------------------- Inverse of the covariance matrix is: 75.022341 49.717426 -320.237139 49.717426 65.103642 -252.828778 -320.237139 -252.828778 2097.577902 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .866063 B= .803284 C= .096492 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .868954 Bf*A + K = .962885 Cf= .069454 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0029 BDIFF= .1596 CDIFF= -.0270 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 16.810 PROD1(1,2)= 17.370 PROD1(1,3)= -97.992 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 5.4704 ----------------------------------------------------------- The DIF RESULTS for ITEM 1 are: OBSERVED Chi-Square = 5.470411 Observed P-value = .140419 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 2 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .858818 Br= -.305237 Cr= .144617 The VAR-COV matrix is: .010034 .009911 .003682 .009911 .020476 .007547 .003682 .007547 .003588 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .629377 Bf= .474115 Cf= .167667 The VAR-COV matrix is: .010946 .012059 .004851 .012059 .041461 .012038 .004851 .012038 .004280 ----------------------------------------------------------- The transformed focal group covariance matrix is: .010705 .012059 .004797 .012059 .042393 .012173 .004797 .012173 .004280 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .020739 .021970 .008479 .021970 .062869 .019720 .008479 .019720 .007868 ----------------------------------------------------------- Inverse of the covariance matrix is: 86.485207 -4.619116 -81.628290 -4.619116 74.617842 -182.037132 -81.628290 -182.037132 671.308793 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .858818 B= -.305237 C= .144617 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .622417 Bf*A + K = -.449304 Cf= .167667 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.2364 BDIFF= -.1441 CDIFF= .0231 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -21.661 PROD1(1,2)= -13.854 PROD1(1,3)= 60.996 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 8.5226 ----------------------------------------------------------- The DIF RESULTS for ITEM 2 are: OBSERVED Chi-Square = 8.522604 Observed P-value = .036360 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 3 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.485390 Br= .438911 Cr= .082778 The VAR-COV matrix is: .029772 .003447 .002256 .003447 .002949 .000784 .002256 .000784 .000518 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.336454 Bf= 1.193691 Cf= .071828 The VAR-COV matrix is: .039673 -.002307 .002244 -.002307 .004980 .000435 .002244 .000435 .000332 ----------------------------------------------------------- The transformed focal group covariance matrix is: .038800 -.002307 .002219 -.002307 .005092 .000440 .002219 .000440 .000332 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .068572 .001140 .004475 .001140 .008041 .001224 .004475 .001224 .000850 ----------------------------------------------------------- Inverse of the covariance matrix is: 24.672403 20.840076 -159.904662 20.840076 176.868297 -364.383515 -159.904662 -364.383515 2543.010300 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.485390 B= .438911 C= .082778 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.321674 Bf*A + K = .278319 Cf= .071828 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1637 BDIFF= -.1606 CDIFF= -.0110 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -5.635 PROD1(1,2)= -27.825 PROD1(1,3)= 56.850 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 4.7686 ----------------------------------------------------------- The DIF RESULTS for ITEM 3 are: OBSERVED Chi-Square = 4.768577 Observed P-value = .189549 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 4 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .927920 Br= -.119494 Cr= .177819 The VAR-COV matrix is: .017012 .014018 .005713 .014018 .021646 .008236 .005713 .008236 .003857 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .882303 Bf= .976527 Cf= .108166 The VAR-COV matrix is: .019990 .003255 .003683 .003255 .011389 .002537 .003683 .002537 .001299 ----------------------------------------------------------- The transformed focal group covariance matrix is: .019550 .003255 .003642 .003255 .011645 .002565 .003642 .002565 .001299 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .036562 .017273 .009355 .017273 .033291 .010801 .009355 .010801 .005156 ----------------------------------------------------------- Inverse of the covariance matrix is: 52.409387 11.429639 -119.037959 11.429639 96.272977 -222.421924 -119.037959 -222.421924 875.890964 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .927920 B= -.119494 C= .177819 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .872546 Bf*A + K = .058727 Cf= .108166 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0554 BDIFF= .1782 CDIFF= -.0697 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 7.426 PROD1(1,2)= 32.017 PROD1(1,3)= -94.057 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 11.8463 ----------------------------------------------------------- The DIF RESULTS for ITEM 4 are: OBSERVED Chi-Square = 11.846275 Observed P-value = .007929 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 5 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.634194 Br= .452208 Cr= .147553 The VAR-COV matrix is: .060016 .006195 .004401 .006195 .003587 .001169 .004401 .001169 .000810 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.541467 Bf= 1.026648 Cf= .106113 The VAR-COV matrix is: .055698 .000564 .002852 .000564 .004121 .000611 .002852 .000611 .000409 ----------------------------------------------------------- The transformed focal group covariance matrix is: .054473 .000564 .002820 .000564 .004214 .000618 .002820 .000618 .000409 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .114489 .006759 .007221 .006759 .007801 .001787 .007221 .001787 .001219 ----------------------------------------------------------- Inverse of the covariance matrix is: 14.517427 10.720567 -101.716878 10.720567 200.910636 -358.008055 -101.716878 -358.008055 1947.698776 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.634194 B= .452208 C= .147553 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.524420 Bf*A + K = .109408 Cf= .106113 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1098 BDIFF= -.3428 CDIFF= -.0414 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -1.053 PROD1(1,2)= -55.213 PROD1(1,3)= 53.178 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 16.8390 ----------------------------------------------------------- The DIF RESULTS for ITEM 5 are: OBSERVED Chi-Square = 16.838975 Observed P-value = .000763 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** DIF PRESENT for this item using CORRECTED P **** *********************************************************** FOR ITEM: 6 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .860986 Br= .030237 Cr= .207214 The VAR-COV matrix is: .015547 .014689 .005644 .014689 .026372 .009203 .005644 .009203 .003900 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .852394 Bf= .643728 Cf= .145713 The VAR-COV matrix is: .018583 .009170 .004904 .009170 .017527 .005426 .004904 .005426 .002388 ----------------------------------------------------------- The transformed focal group covariance matrix is: .018174 .009170 .004850 .009170 .017921 .005487 .004850 .005487 .002388 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .033721 .023859 .010494 .023859 .044293 .014690 .010494 .014690 .006288 ----------------------------------------------------------- Inverse of the covariance matrix is: 61.859993 4.067515 -112.737726 4.067515 100.508239 -241.589876 -112.737726 -241.589876 911.564993 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .860986 B= .030237 C= .207214 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .842967 Bf*A + K = -.277794 Cf= .145713 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0180 BDIFF= -.3080 CDIFF= -.0615 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 4.566 PROD1(1,2)= -16.175 PROD1(1,3)= 20.386 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 3.6463 ----------------------------------------------------------- The DIF RESULTS for ITEM 6 are: OBSERVED Chi-Square = 3.646317 Observed P-value = .302275 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 7 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.666654 Br= .329567 Cr= .062450 The VAR-COV matrix is: .034471 .003233 .002063 .003233 .002297 .000601 .002063 .000601 .000422 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.511596 Bf= 1.547591 Cf= .041911 The VAR-COV matrix is: .060356 -.009530 .001469 -.009530 .006156 .000047 .001469 .000047 .000122 ----------------------------------------------------------- The transformed focal group covariance matrix is: .059028 -.009530 .001453 -.009530 .006294 .000048 .001453 .000048 .000122 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .093499 -.006297 .003516 -.006297 .008591 .000649 .003516 .000649 .000544 ----------------------------------------------------------- Inverse of the covariance matrix is: 17.634250 23.656369 -142.168110 23.656369 159.639834 -343.199446 -142.168110 -343.199446 3166.179728 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.666654 B= .329567 C= .062450 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.494879 Bf*A + K = .636177 Cf= .041911 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1718 BDIFF= .3066 CDIFF= -.0205 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 7.144 PROD1(1,2)= 51.933 PROD1(1,3)= -145.838 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 17.6912 ----------------------------------------------------------- The DIF RESULTS for ITEM 7 are: OBSERVED Chi-Square = 17.691199 Observed P-value = .000509 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** DIF PRESENT for this item using CORRECTED P **** *********************************************************** FOR ITEM: 8 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .664463 Br= .313520 Cr= .132913 The VAR-COV matrix is: .007863 .007845 .003136 .007845 .024453 .007252 .003136 .007252 .002804 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .993882 Bf= .845743 Cf= .127568 The VAR-COV matrix is: .023531 .005163 .003975 .005163 .010137 .002642 .003975 .002642 .001317 ----------------------------------------------------------- The transformed focal group covariance matrix is: .023013 .005163 .003931 .005163 .010365 .002672 .003931 .002672 .001317 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .030876 .013008 .007067 .013008 .034818 .009924 .007067 .009924 .004121 ----------------------------------------------------------- Inverse of the covariance matrix is: 57.853162 21.239979 -150.358291 21.239979 99.359098 -275.685085 -150.358291 -275.685085 1164.368203 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .664463 B= .313520 C= .132913 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .982891 Bf*A + K = -.073520 Cf= .127568 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .3184 BDIFF= -.3870 CDIFF= -.0053 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 11.005 PROD1(1,2)= -30.219 PROD1(1,3)= 52.599 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 14.9191 ----------------------------------------------------------- The DIF RESULTS for ITEM 8 are: OBSERVED Chi-Square = 14.919101 Observed P-value = .001887 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 9 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.247005 Br= .404733 Cr= .093640 The VAR-COV matrix is: .022400 .004330 .002749 .004330 .004578 .001412 .002749 .001412 .000847 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.201623 Bf= 1.055254 Cf= .042811 The VAR-COV matrix is: .022937 -.001862 .001524 -.001862 .004626 .000440 .001524 .000440 .000302 ----------------------------------------------------------- The transformed focal group covariance matrix is: .022432 -.001862 .001507 -.001862 .004730 .000445 .001507 .000445 .000302 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .044832 .002468 .004256 .002468 .009308 .001857 .004256 .001857 .001149 ----------------------------------------------------------- Inverse of the covariance matrix is: 38.487257 26.913690 -186.060893 26.913690 177.373492 -386.350779 -186.060893 -386.350779 2183.920778 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.247005 B= .404733 C= .093640 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.188334 Bf*A + K = .138334 Cf= .042811 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0587 BDIFF= -.2664 CDIFF= -.0508 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= .029 PROD1(1,2)= -29.193 PROD1(1,3)= 2.833 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 7.6313 ----------------------------------------------------------- The DIF RESULTS for ITEM 9 are: OBSERVED Chi-Square = 7.631330 Observed P-value = .054278 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 10 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .937144 Br= .475559 Cr= .186088 The VAR-COV matrix is: .020248 .009354 .004601 .009354 .013597 .004379 .004601 .004379 .002030 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .821374 Bf= 1.358367 Cf= .096395 The VAR-COV matrix is: .020380 -.002427 .003142 -.002427 .014058 .001451 .003142 .001451 .000940 ----------------------------------------------------------- The transformed focal group covariance matrix is: .019932 -.002427 .003107 -.002427 .014374 .001467 .003107 .001467 .000940 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .040180 .006927 .007708 .006927 .027971 .005846 .007708 .005846 .002970 ----------------------------------------------------------- Inverse of the covariance matrix is: 62.330007 31.219804 -223.223392 31.219804 76.378497 -231.372423 -223.223392 -231.372423 1371.487469 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .937144 B= .475559 C= .186088 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .812290 Bf*A + K = .444837 Cf= .096395 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1249 BDIFF= -.0307 CDIFF= -.0897 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 11.280 PROD1(1,2)= 14.508 PROD1(1,3)= -88.034 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 6.0420 ----------------------------------------------------------- The DIF RESULTS for ITEM 10 are: OBSERVED Chi-Square = 6.041954 Observed P-value = .109587 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 11 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .715880 Br= 1.126553 Cr= .097424 The VAR-COV matrix is: .012272 .000503 .002653 .000503 .013974 .002250 .002653 .002250 .001170 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .852275 Bf= 1.763934 Cf= .087081 The VAR-COV matrix is: .027440 -.010978 .002856 -.010978 .020451 .000322 .002856 .000322 .000586 ----------------------------------------------------------- The transformed focal group covariance matrix is: .026836 -.010978 .002824 -.010978 .020911 .000326 .002824 .000326 .000586 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .039108 -.010475 .005477 -.010475 .034885 .002576 .005477 .002576 .001756 ----------------------------------------------------------- Inverse of the covariance matrix is: 90.826227 54.042111 -362.576246 54.042111 64.302250 -262.886119 -362.576246 -262.886119 2086.031011 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .715880 B= 1.126553 C= .097424 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .842850 Bf*A + K = .854939 Cf= .087081 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .1270 BDIFF= -.2716 CDIFF= -.0103 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= .604 PROD1(1,2)= -7.885 PROD1(1,3)= 3.792 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 2.1790 ----------------------------------------------------------- The DIF RESULTS for ITEM 11 are: OBSERVED Chi-Square = 2.179017 Observed P-value = .536093 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 12 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.275190 Br= -.120518 Cr= .128990 The VAR-COV matrix is: .021390 .008867 .004115 .008867 .008270 .003355 .004115 .003355 .001957 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.212721 Bf= .513385 Cf= .128740 The VAR-COV matrix is: .029734 .007952 .004388 .007952 .007916 .002620 .004388 .002620 .001356 ----------------------------------------------------------- The transformed focal group covariance matrix is: .029080 .007952 .004339 .007952 .008094 .002649 .004339 .002649 .001356 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .050470 .016819 .008454 .016819 .016364 .006004 .008454 .006004 .003313 ----------------------------------------------------------- Inverse of the covariance matrix is: 35.104488 -9.583176 -72.215424 -9.583176 185.025496 -310.874622 -72.215424 -310.874622 1049.540421 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.275190 B= -.120518 C= .128990 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.199310 Bf*A + K = -.409594 Cf= .128740 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0759 BDIFF= -.2891 CDIFF= -.0003 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= .125 PROD1(1,2)= -52.682 PROD1(1,3)= 95.084 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 15.1958 ----------------------------------------------------------- The DIF RESULTS for ITEM 12 are: OBSERVED Chi-Square = 15.195786 Observed P-value = .001657 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 13 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.578180 Br= .324160 Cr= .082490 The VAR-COV matrix is: .036367 .004345 .002689 .004345 .002859 .000854 .002689 .000854 .000581 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.631622 Bf= 1.444123 Cf= .044791 The VAR-COV matrix is: .066435 -.007870 .001503 -.007870 .004927 .000088 .001503 .000088 .000126 ----------------------------------------------------------- The transformed focal group covariance matrix is: .064974 -.007870 .001486 -.007870 .005038 .000089 .001486 .000089 .000126 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .101341 -.003525 .004175 -.003525 .007897 .000943 .004175 .000943 .000707 ----------------------------------------------------------- Inverse of the covariance matrix is: 15.570238 21.327740 -120.400786 21.327740 179.837628 -365.820938 -120.400786 -365.820938 2613.411810 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.578180 B= .324160 C= .082490 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.613578 Bf*A + K = .531552 Cf= .044791 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0354 BDIFF= .2074 CDIFF= -.0377 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 9.513 PROD1(1,2)= 51.843 PROD1(1,3)= -178.653 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 17.8236 ----------------------------------------------------------- The DIF RESULTS for ITEM 13 are: OBSERVED Chi-Square = 17.823583 Observed P-value = .000478 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** DIF PRESENT for this item using CORRECTED P **** *********************************************************** FOR ITEM: 14 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .693761 Br= -.765854 Cr= .201801 The VAR-COV matrix is: .007409 .013986 .003984 .013986 .050303 .016796 .003984 .016796 .007001 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .625305 Bf= -.150048 Cf= .187758 The VAR-COV matrix is: .008794 .014557 .004586 .014557 .055240 .017209 .004586 .017209 .006195 ----------------------------------------------------------- The transformed focal group covariance matrix is: .008601 .014557 .004535 .014557 .056482 .017401 .004535 .017401 .006195 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .016010 .028543 .008519 .028543 .106785 .034197 .008519 .034197 .013196 ----------------------------------------------------------- Inverse of the covariance matrix is: 121.830179 -43.367246 33.733183 -43.367246 70.495180 -154.690589 33.733183 -154.690589 454.883297 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .693761 B= -.765854 C= .201801 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .618390 Bf*A + K = -1.080446 Cf= .187758 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0754 BDIFF= -.3146 CDIFF= -.0140 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 3.987 PROD1(1,2)= -16.736 PROD1(1,3)= 39.734 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 4.4066 ----------------------------------------------------------- The DIF RESULTS for ITEM 14 are: OBSERVED Chi-Square = 4.406631 Observed P-value = .220771 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 15 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .807644 Br= 1.304413 Cr= .122040 The VAR-COV matrix is: .018398 -.001276 .002871 -.001276 .012653 .001456 .002871 .001456 .000904 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .968919 Bf= 2.039156 Cf= .143139 The VAR-COV matrix is: .062792 -.028284 .003841 -.028284 .035131 -.000246 .003841 -.000246 .000502 ----------------------------------------------------------- The transformed focal group covariance matrix is: .061411 -.028284 .003799 -.028284 .035921 -.000249 .003799 -.000249 .000502 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .079809 -.029560 .006670 -.029560 .048574 .001207 .006670 .001207 .001406 ----------------------------------------------------------- Inverse of the covariance matrix is: 45.499749 33.774106 -244.833109 33.774106 46.106270 -199.800075 -244.833109 -199.800075 2044.188020 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .807644 B= 1.304413 C= .122040 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .958204 Bf*A + K = 1.133239 Cf= .143139 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .1506 BDIFF= -.1712 CDIFF= .0211 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -4.097 PROD1(1,2)= -7.023 PROD1(1,3)= 40.469 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 1.4392 ----------------------------------------------------------- The DIF RESULTS for ITEM 15 are: OBSERVED Chi-Square = 1.439194 Observed P-value = .696374 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 16 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .810925 Br= -.983561 Cr= .156154 The VAR-COV matrix is: .006750 .009267 .002411 .009267 .026815 .009395 .002411 .009395 .004947 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .917085 Bf= .216189 Cf= .144634 The VAR-COV matrix is: .015752 .010748 .004731 .010748 .018322 .006576 .004731 .006576 .002979 ----------------------------------------------------------- The transformed focal group covariance matrix is: .015406 .010748 .004679 .010748 .018734 .006650 .004679 .006650 .002979 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .022156 .020015 .007090 .020015 .045549 .016045 .007090 .016045 .007926 ----------------------------------------------------------- Inverse of the covariance matrix is: 74.850726 -32.433292 -1.298325 -32.433292 90.563223 -154.315334 -1.298325 -154.315334 439.707649 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .810925 B= -.983561 C= .156154 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .906943 Bf*A + K = -.710114 Cf= .144634 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0960 BDIFF= .2734 CDIFF= -.0115 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -1.667 PROD1(1,2)= 23.428 PROD1(1,3)= -47.387 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 6.7921 ----------------------------------------------------------- The DIF RESULTS for ITEM 16 are: OBSERVED Chi-Square = 6.792118 Observed P-value = .078827 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 17 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.105287 Br= -.037089 Cr= .090806 The VAR-COV matrix is: .011824 .005294 .002246 .005294 .006968 .002396 .002246 .002396 .001327 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.312848 Bf= .660205 Cf= .091011 The VAR-COV matrix is: .038061 .004437 .003809 .004437 .005010 .001407 .003809 .001407 .000841 ----------------------------------------------------------- The transformed focal group covariance matrix is: .037224 .004437 .003767 .004437 .005123 .001423 .003767 .001423 .000841 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .049048 .009731 .006013 .009731 .012091 .003819 .006013 .003819 .002168 ----------------------------------------------------------- Inverse of the covariance matrix is: 31.023728 4.974440 -94.805306 4.974440 187.214340 -343.557407 -94.805306 -343.557407 1329.338990 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.105287 B= -.037089 C= .090806 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.298329 Bf*A + K = -.261133 Cf= .091011 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .1930 BDIFF= -.2240 CDIFF= .0002 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 4.855 PROD1(1,2)= -41.054 PROD1(1,3)= 58.943 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 10.1473 ----------------------------------------------------------- The DIF RESULTS for ITEM 17 are: OBSERVED Chi-Square = 10.147252 Observed P-value = .017355 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 18 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.088458 Br= 1.380558 Cr= .048843 The VAR-COV matrix is: .023420 -.006007 .001345 -.006007 .007143 .000149 .001345 .000149 .000229 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .962336 Bf= 2.088472 Cf= .036542 The VAR-COV matrix is: .031665 -.021737 .001458 -.021737 .028616 -.000292 .001458 -.000292 .000174 ----------------------------------------------------------- The transformed focal group covariance matrix is: .030969 -.021737 .001442 -.021737 .029260 -.000295 .001442 -.000295 .000174 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .054389 -.027744 .002787 -.027744 .036403 -.000146 .002787 -.000146 .000403 ----------------------------------------------------------- Inverse of the covariance matrix is: 64.697955 47.580845 -430.138337 47.580845 62.503097 -306.352054 -430.138337 -306.352054 5344.748173 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.088458 B= 1.380558 C= .048843 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .951694 Bf*A + K = 1.183106 Cf= .036542 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1368 BDIFF= -.1975 CDIFF= -.0123 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -12.952 PROD1(1,2)= -15.080 PROD1(1,3)= 53.572 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 4.0900 ----------------------------------------------------------- The DIF RESULTS for ITEM 18 are: OBSERVED Chi-Square = 4.090039 Observed P-value = .251904 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 19 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.305089 Br= 1.216065 Cr= .028885 The VAR-COV matrix is: .023818 -.004100 .000787 -.004100 .003978 .000097 .000787 .000097 .000114 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.143711 Bf= 2.500958 Cf= .022648 The VAR-COV matrix is: .071671 -.050606 .001232 -.050606 .053732 -.000469 .001232 -.000469 .000064 ----------------------------------------------------------- The transformed focal group covariance matrix is: .070095 -.050606 .001218 -.050606 .054940 -.000474 .001218 -.000474 .000064 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .093913 -.054706 .002005 -.054706 .058918 -.000377 .002005 -.000377 .000178 ----------------------------------------------------------- Inverse of the covariance matrix is: 36.341918 31.550203 -342.567639 31.550203 44.596375 -260.934008 -342.567639 -260.934008 8924.386089 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.305089 B= 1.216065 C= .028885 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.131063 Bf*A + K = 1.600205 Cf= .022648 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1740 BDIFF= .3841 CDIFF= -.0062 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 7.932 PROD1(1,2)= 13.268 PROD1(1,3)= -96.281 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 4.3170 ----------------------------------------------------------- The DIF RESULTS for ITEM 19 are: OBSERVED Chi-Square = 4.316974 Observed P-value = .229208 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 20 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.734499 Br= 1.199768 Cr= .040119 The VAR-COV matrix is: .049743 -.003370 .001174 -.003370 .002852 .000113 .001174 .000113 .000116 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.401360 Bf= 1.974924 Cf= .021622 The VAR-COV matrix is: .060627 -.022834 .000734 -.022834 .015553 -.000078 .000734 -.000078 .000049 ----------------------------------------------------------- The transformed focal group covariance matrix is: .059293 -.022834 .000726 -.022834 .015903 -.000079 .000726 -.000079 .000049 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .109036 -.026204 .001900 -.026204 .018755 .000034 .001900 .000034 .000165 ----------------------------------------------------------- Inverse of the covariance matrix is: 20.231486 28.701925 -238.890800 28.701925 94.058514 -349.941190 -238.890800 -349.941190 8883.680024 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.734499 B= 1.199768 C= .040119 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.385862 Bf*A + K = 1.068289 Cf= .021622 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.3486 BDIFF= -.1315 CDIFF= -.0185 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -6.408 PROD1(1,2)= -15.900 PROD1(1,3)= -35.025 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 4.9726 ----------------------------------------------------------- The DIF RESULTS for ITEM 20 are: OBSERVED Chi-Square = 4.972644 Observed P-value = .173811 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 21 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .766112 Br= .922407 Cr= .209369 The VAR-COV matrix is: .021006 .007988 .005087 .007988 .020403 .005032 .005087 .005032 .002163 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .537902 Bf= 1.447672 Cf= .108738 The VAR-COV matrix is: .009636 -.001101 .002968 -.001101 .036057 .004580 .002968 .004580 .001889 ----------------------------------------------------------- The transformed focal group covariance matrix is: .009424 -.001101 .002935 -.001101 .036868 .004631 .002935 .004631 .001889 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .030430 .006887 .008022 .006887 .057271 .009663 .008022 .009663 .004052 ----------------------------------------------------------- Inverse of the covariance matrix is: 98.354345 35.186040 -278.634324 35.186040 41.805210 -169.358698 -278.634324 -169.358698 1202.320735 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .766112 B= .922407 C= .209369 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .531953 Bf*A + K = .535140 Cf= .108738 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.2342 BDIFF= -.3873 CDIFF= -.1006 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -8.618 PROD1(1,2)= -7.386 PROD1(1,3)= 9.841 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 3.8880 ----------------------------------------------------------- The DIF RESULTS for ITEM 21 are: OBSERVED Chi-Square = 3.888007 Observed P-value = .273814 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 22 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.234231 Br= 1.376958 Cr= .038148 The VAR-COV matrix is: .025384 -.005278 .000997 -.005278 .005417 .000104 .000997 .000104 .000143 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.305544 Bf= 2.503690 Cf= .028951 The VAR-COV matrix is: .121841 -.071478 .001182 -.071478 .059836 -.000363 .001182 -.000363 .000054 ----------------------------------------------------------- The transformed focal group covariance matrix is: .119161 -.071478 .001169 -.071478 .061182 -.000367 .001169 -.000367 .000054 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .144545 -.076756 .002166 -.076756 .066599 -.000263 .002166 -.000263 .000197 ----------------------------------------------------------- Inverse of the covariance matrix is: 26.058039 29.053870 -247.700269 29.053870 47.489042 -256.021140 -247.700269 -256.021140 7457.625733 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.234231 B= 1.376958 C= .038148 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.291106 Bf*A + K = 1.602968 Cf= .028951 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0569 BDIFF= .2260 CDIFF= -.0092 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 10.327 PROD1(1,2)= 14.740 PROD1(1,3)= -140.539 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 5.2113 ----------------------------------------------------------- The DIF RESULTS for ITEM 22 are: OBSERVED Chi-Square = 5.211251 Observed P-value = .156966 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 23 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .881759 Br= 1.490005 Cr= .096544 The VAR-COV matrix is: .024023 -.006449 .002641 -.006449 .013149 .000539 .002641 .000539 .000608 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .714291 Bf= 2.251043 Cf= .059787 The VAR-COV matrix is: .022362 -.024520 .002088 -.024520 .053167 -.000558 .002088 -.000558 .000427 ----------------------------------------------------------- The transformed focal group covariance matrix is: .021870 -.024520 .002065 -.024520 .054363 -.000564 .002065 -.000564 .000427 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .045893 -.030969 .004706 -.030969 .067512 -.000025 .004706 -.000025 .001035 ----------------------------------------------------------- Inverse of the covariance matrix is: 96.197359 43.964549 -436.315303 43.964549 34.905248 -199.045557 -436.315303 -199.045557 2945.155688 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .881759 B= 1.490005 C= .096544 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .706392 Bf*A + K = 1.347495 Cf= .059787 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1754 BDIFF= -.1425 CDIFF= -.0368 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -7.098 PROD1(1,2)= -5.368 PROD1(1,3)= -3.374 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 2.1337 ----------------------------------------------------------- The DIF RESULTS for ITEM 23 are: OBSERVED Chi-Square = 2.133684 Observed P-value = .545128 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 24 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .896751 Br= 1.335268 Cr= .110930 The VAR-COV matrix is: .024084 -.002931 .003097 -.002931 .011336 .001018 .003097 .001018 .000786 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .757783 Bf= 1.914365 Cf= .069780 The VAR-COV matrix is: .022751 -.015483 .002575 -.015483 .031103 .000021 .002575 .000021 .000588 ----------------------------------------------------------- The transformed focal group covariance matrix is: .022251 -.015483 .002547 -.015483 .031803 .000021 .002547 .000021 .000588 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .046335 -.018414 .005644 -.018414 .043139 .001039 .005644 .001039 .001374 ----------------------------------------------------------- Inverse of the covariance matrix is: 90.854719 48.658630 -409.977036 48.658630 49.671236 -237.428080 -409.977036 -237.428080 2591.308876 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .896751 B= 1.335268 C= .110930 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .749403 Bf*A + K = 1.007052 Cf= .069780 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.1473 BDIFF= -.3282 CDIFF= -.0412 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -12.487 PROD1(1,2)= -13.702 PROD1(1,3)= 31.705 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 5.0327 ----------------------------------------------------------- The DIF RESULTS for ITEM 24 are: OBSERVED Chi-Square = 5.032699 Observed P-value = .169418 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 25 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.730654 Br= .845337 Cr= .046204 The VAR-COV matrix is: .038137 -.000404 .001167 -.000404 .002003 .000202 .001167 .000202 .000163 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.243466 Bf= 2.326619 Cf= .040420 The VAR-COV matrix is: .093949 -.051128 .001528 -.051128 .043118 -.000400 .001528 -.000400 .000090 ----------------------------------------------------------- The transformed focal group covariance matrix is: .091883 -.051128 .001511 -.051128 .044088 -.000404 .001511 -.000404 .000090 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .130020 -.051532 .002678 -.051532 .046091 -.000202 .002678 -.000202 .000253 ----------------------------------------------------------- Inverse of the covariance matrix is: 20.592511 22.143849 -200.258135 22.143849 45.584934 -197.920004 -200.258135 -197.920004 5913.985027 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.730654 B= .845337 C= .046204 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.229715 Bf*A + K = 1.423916 Cf= .040420 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.5009 BDIFF= .5786 CDIFF= -.0058 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 3.655 PROD1(1,2)= 16.427 PROD1(1,3)= -48.402 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 7.9532 ----------------------------------------------------------- The DIF RESULTS for ITEM 25 are: OBSERVED Chi-Square = 7.953249 Observed P-value = .046988 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 26 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.103916 Br= 1.074374 Cr= .035462 The VAR-COV matrix is: .015528 -.002662 .000917 -.002662 .004506 .000255 .000917 .000255 .000206 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.143502 Bf= 1.812652 Cf= .039075 The VAR-COV matrix is: .035873 -.013671 .001318 -.013671 .013286 -.000054 .001318 -.000054 .000144 ----------------------------------------------------------- The transformed focal group covariance matrix is: .035084 -.013671 .001303 -.013671 .013585 -.000055 .001303 -.000055 .000144 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .050612 -.016333 .002220 -.016333 .018091 .000200 .002220 .000200 .000350 ----------------------------------------------------------- Inverse of the covariance matrix is: 51.853368 50.781051 -358.036579 50.781051 105.360427 -382.483715 -358.036579 -382.483715 5347.546741 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.103916 B= 1.074374 C= .035462 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.130856 Bf*A + K = .904202 Cf= .039075 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0269 BDIFF= -.1702 CDIFF= .0036 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -8.538 PROD1(1,2)= -17.943 PROD1(1,3)= 74.763 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 3.0935 ----------------------------------------------------------- The DIF RESULTS for ITEM 26 are: OBSERVED Chi-Square = 3.093547 Observed P-value = .377426 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 27 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .530305 Br= .189303 Cr= .213902 The VAR-COV matrix is: .007346 .015852 .004662 .015852 .076179 .019886 .004662 .019886 .005940 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .648688 Bf= .942700 Cf= .203877 The VAR-COV matrix is: .015645 .011715 .005576 .011715 .039390 .009684 .005576 .009684 .003394 ----------------------------------------------------------- The transformed focal group covariance matrix is: .015301 .011715 .005514 .011715 .040276 .009792 .005514 .009792 .003394 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .022647 .027567 .010176 .027567 .116455 .029678 .010176 .029678 .009334 ----------------------------------------------------------- Inverse of the covariance matrix is: 95.113841 20.622579 -169.268615 20.622579 49.740548 -180.638186 -169.268615 -180.638186 866.034620 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .530305 B= .189303 C= .213902 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .641514 Bf*A + K = .024521 Cf= .203877 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .1112 BDIFF= -.1648 CDIFF= -.0100 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 8.876 PROD1(1,2)= -4.092 PROD1(1,3)= 2.260 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 1.6388 ----------------------------------------------------------- The DIF RESULTS for ITEM 27 are: OBSERVED Chi-Square = 1.638752 Observed P-value = .650635 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 28 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.444159 Br= .605811 Cr= .053682 The VAR-COV matrix is: .025859 .001327 .001679 .001327 .002581 .000499 .001679 .000499 .000346 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.223247 Bf= 2.004809 Cf= .055149 The VAR-COV matrix is: .064176 -.024218 .001826 -.024218 .019815 -.000195 .001826 -.000195 .000152 ----------------------------------------------------------- The transformed focal group covariance matrix is: .062764 -.024218 .001806 -.024218 .020261 -.000197 .001806 -.000197 .000152 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .088623 -.022891 .003485 -.022891 .022842 .000302 .003485 .000302 .000498 ----------------------------------------------------------- Inverse of the covariance matrix is: 27.286415 30.109486 -209.187745 30.109486 77.357742 -257.577893 -209.187745 -257.577893 3627.953343 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.444159 B= .605811 C= .053682 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.209719 Bf*A + K = 1.098508 Cf= .055149 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.2344 BDIFF= .4927 CDIFF= .0015 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 8.131 PROD1(1,2)= 30.677 PROD1(1,3)= -72.544 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 13.1019 ----------------------------------------------------------- The DIF RESULTS for ITEM 28 are: OBSERVED Chi-Square = 13.101903 Observed P-value = .004421 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** DIF PRESENT for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 29 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .747668 Br= 3.200162 Cr= .169474 The VAR-COV matrix is: .081676 -.156044 .002848 -.156044 .453552 -.001123 .002848 -.001123 .000380 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .806438 Bf= 3.330644 Cf= .151421 The VAR-COV matrix is: .101939 -.170853 .002799 -.170853 .456113 -.001075 .002799 -.001075 .000296 ----------------------------------------------------------- The transformed focal group covariance matrix is: .099697 -.170853 .002768 -.170853 .466371 -.001087 .002768 -.001087 .000296 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .181373 -.326897 .005616 -.326897 .919923 -.002210 .005616 -.002210 .000676 ----------------------------------------------------------- Inverse of the covariance matrix is: 32.877975 11.114367 -236.806549 11.114367 4.852854 -76.470246 -236.806549 -76.470246 3196.620654 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .747668 B= 3.200162 C= .169474 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .797520 Bf*A + K = 2.439169 Cf= .151421 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .0499 BDIFF= -.7610 CDIFF= -.0181 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -2.544 PROD1(1,2)= -1.758 PROD1(1,3)= -11.320 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 1.4157 ----------------------------------------------------------- The DIF RESULTS for ITEM 29 are: OBSERVED Chi-Square = 1.415683 Observed P-value = .701863 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 30 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.241267 Br= 1.632863 Cr= .030774 The VAR-COV matrix is: .033391 -.010038 .001053 -.010038 .008427 -.000027 .001053 -.000027 .000109 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.177151 Bf= 2.477076 Cf= .032284 The VAR-COV matrix is: .092560 -.057956 .001556 -.057956 .054113 -.000559 .001556 -.000559 .000079 ----------------------------------------------------------- The transformed focal group covariance matrix is: .090524 -.057956 .001539 -.057956 .055330 -.000565 .001539 -.000565 .000079 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .123915 -.067994 .002592 -.067994 .063757 -.000592 .002592 -.000592 .000188 ----------------------------------------------------------- Inverse of the covariance matrix is: 32.950491 31.852632 -353.915260 31.852632 46.948720 -291.223257 -353.915260 -291.223257 9280.837831 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.241267 B= 1.632863 C= .030774 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.164133 Bf*A + K = 1.576056 Cf= .032284 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0771 BDIFF= -.0568 CDIFF= .0015 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -4.885 PROD1(1,2)= -5.564 PROD1(1,3)= 57.857 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= .7803 ----------------------------------------------------------- The DIF RESULTS for ITEM 30 are: OBSERVED Chi-Square = .780257 Observed P-value = .854183 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 31 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = 1.160141 Br= .730113 Cr= .102763 The VAR-COV matrix is: .024569 .002517 .002814 .002517 .005081 .001210 .002814 .001210 .000752 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = 1.163220 Bf= 1.785457 Cf= .076121 The VAR-COV matrix is: .051916 -.015271 .002293 -.015271 .014237 -.000016 .002293 -.000016 .000257 ----------------------------------------------------------- The transformed focal group covariance matrix is: .050774 -.015271 .002268 -.015271 .014557 -.000016 .002268 -.000016 .000257 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .075343 -.012754 .005082 -.012754 .019638 .001194 .005082 .001194 .001009 ----------------------------------------------------------- Inverse of the covariance matrix is: 32.865481 33.840606 -205.560187 33.840606 89.712241 -276.577005 -205.560187 -276.577005 2353.584421 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = 1.160141 B= .730113 C= .102763 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = 1.150356 Bf*A + K = .876703 Cf= .076121 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= -.0098 BDIFF= .1466 CDIFF= -.0266 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= 10.116 PROD1(1,2)= 20.188 PROD1(1,3)= -101.236 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 5.5576 ----------------------------------------------------------- The DIF RESULTS for ITEM 31 are: OBSERVED Chi-Square = 5.557553 Observed P-value = .135237 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P **** *********************************************************** FOR ITEM: 32 Reading COVARIANCE file for REFERENCE group ----------------------------------------------------------- The ITEM PARAMETERS are: Ar = .814898 Br= 1.045867 Cr= .056892 The VAR-COV matrix is: .009871 -.001146 .001303 -.001146 .007666 .000860 .001303 .000860 .000501 Reading COVARIANCE file for FOCAL group ----------------------------------------------------------- The ITEM PARAMETERS are: Af = .948003 Bf= 1.693342 Cf= .065410 The VAR-COV matrix is: .026609 -.009956 .002029 -.009956 .014670 .000167 .002029 .000167 .000358 ----------------------------------------------------------- The transformed focal group covariance matrix is: .026024 -.009956 .002007 -.009956 .015000 .000169 .002007 .000169 .000358 ----------------------------------------------------------- Sum of ref and transformed focal covariance matrices is: .035895 -.011102 .003310 -.011102 .022666 .001029 .003310 .001029 .000859 ----------------------------------------------------------- Inverse of the covariance matrix is: 79.659303 55.993807 -373.978527 55.993807 86.014651 -318.757411 -373.978527 -318.757411 2986.803260 ----------------------------------------------------------- The REFERENCE group ITEM PARAMETERS are: A = .814898 B= 1.045867 C= .056892 The RESCALED FOCAL group ITEM PARAMETERS are: Af/A = .937519 Bf*A + K = .783558 Cf= .065410 The parameter DIFFERENCE vector FRDIFF = (FOC-REF) is: ADIFF= .1226 BDIFF= -.2623 CDIFF= .0085 ----------------------------------------------------------- Do the FIRST matrix multiplication FRDIFFT(1x3) * InvCOV(3x3) = PROD1(1x3): PROD1(1,1)= -8.105 PROD1(1,2)= -18.412 PROD1(1,3)= 63.197 ----------------------------------------------------------- Do the SECOND matrix multiplication PROD1(1x3) * FRDIFF(3x1) = PROD2(1x1) = CHIobs= 4.3740 ----------------------------------------------------------- The DIF RESULTS for ITEM 32 are: OBSERVED Chi-Square = 4.373962 Observed P-value = .223812 Degrees of freedom: 3 Critical Chi-Square (uncorrected: P <.05)= 7.8147 Critical Chi-Square (corrected)= 15.3202 Critical P-value (uncorrected: P <. 05)= .05000000 Critical P-value (corrected)= .00156250 **** NO DIF for this item using P < .05 **** **** NO DIF for this item using CORRECTED P ****