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 ---------------------------------