Mplus VERSION 4.2 MUTHEN & MUTHEN 06/12/2007 1:44 PM INPUT INSTRUCTIONS TITLE: B2 THREE-FACTOR MODEL - Utrecht past scores MLM estimation DATA: FILE IS "C:\LANG\Utrecht-past.DAT"; ! data from raw data file VARIABLE: NAMES ARE S1 S2 S3 S4 C1 C3 C4 C2 R1 R2 R3 R4; USEVAR S1-R4; MISSING ARE ALL (-9999); ! missing data code [0 missing] ANALYSIS: ESTIMATOR=MLM; ! TYPE=MEANSTRUCTURE (default) MODEL: F1 BY S1 S3 S4 C1 C3; F2 BY C4 R1 R2 R3 R4; F3 BY S2 C2; OUTPUT: SAMPSTAT MODINDICES(10) STAND RESIDUAL TECH1 TECH4 FSDETERMINACY; INPUT READING TERMINATED NORMALLY B2 THREE-FACTOR MODEL - Utrecht past scores MLM estimation SUMMARY OF ANALYSIS Number of groups 1 Number of observations 263 Number of dependent variables 12 Number of independent variables 0 Number of continuous latent variables 3 Observed dependent variables Continuous S1 S2 S3 S4 C1 C3 C4 C2 R1 R2 R3 R4 Continuous latent variables F1 F2 F3 Estimator MLM Information matrix EXPECTED Maximum number of iterations 1000 Convergence criterion 0.500D-04 Maximum number of steepest descent iterations 20 Input data file(s) C:\LANG\Utrecht-past.DAT Input data format FREE SAMPLE STATISTICS SAMPLE STATISTICS Means S1 S2 S3 S4 C1 ________ ________ ________ ________ ________ 1 3.840 6.433 3.787 4.992 4.650 Means C3 C4 C2 R1 R2 ________ ________ ________ ________ ________ 1 3.103 2.844 4.395 1.517 1.023 Means R3 R4 ________ ________ 1 1.414 1.262 Covariances S1 S2 S3 S4 C1 ________ ________ ________ ________ ________ S1 3.532 S2 1.676 5.269 S3 1.989 1.982 3.580 S4 2.671 2.343 2.113 4.634 C1 2.929 2.053 2.666 2.994 7.564 C3 1.127 0.993 1.007 1.165 1.151 C4 0.475 0.808 0.299 1.319 0.693 C2 1.315 1.992 1.562 1.450 1.704 R1 0.369 0.859 0.435 0.668 0.430 R2 0.378 0.631 0.356 0.699 0.535 R3 0.273 0.469 0.249 0.744 0.134 R4 0.386 0.737 0.506 0.945 0.523 Covariances C3 C4 C2 R1 R2 ________ ________ ________ ________ ________ C3 1.268 C4 0.268 4.025 C2 0.746 0.318 2.645 R1 0.222 0.585 0.394 1.358 R2 0.345 0.813 0.331 0.175 1.503 R3 0.247 0.943 0.190 0.277 0.525 R4 0.309 1.144 0.487 0.631 0.299 Covariances R3 R4 ________ ________ R3 1.770 R4 0.566 1.446 Correlations S1 S2 S3 S4 C1 ________ ________ ________ ________ ________ S1 1.000 S2 0.389 1.000 S3 0.559 0.456 1.000 S4 0.660 0.474 0.519 1.000 C1 0.567 0.325 0.512 0.506 1.000 C3 0.533 0.384 0.472 0.481 0.371 C4 0.126 0.176 0.079 0.306 0.126 C2 0.430 0.534 0.507 0.414 0.381 R1 0.169 0.321 0.197 0.266 0.134 R2 0.164 0.224 0.153 0.265 0.159 R3 0.109 0.153 0.099 0.260 0.037 R4 0.171 0.267 0.223 0.365 0.158 Correlations C3 C4 C2 R1 R2 ________ ________ ________ ________ ________ C3 1.000 C4 0.119 1.000 C2 0.407 0.097 1.000 R1 0.169 0.250 0.208 1.000 R2 0.250 0.330 0.166 0.123 1.000 R3 0.165 0.353 0.088 0.179 0.322 R4 0.228 0.474 0.249 0.450 0.203 Correlations R3 R4 ________ ________ R3 1.000 R4 0.354 1.000 THE MODEL ESTIMATION TERMINATED NORMALLY TESTS OF MODEL FIT Chi-Square Test of Model Fit Value 118.229* Degrees of Freedom 51 P-Value 0.0000 Scaling Correction Factor 0.985 for MLM * The chi-square value for MLM, MLMV, MLR, ULS, WLSM and WLSMV cannot be used for chi-square difference tests. MLM, MLR and WLSM chi-square difference testing is described in the Mplus Technical Appendices at www.statmodel.com. See chi-square difference testing in the index of the Mplus User's Guide. Chi-Square Test of Model Fit for the Baseline Model Value 1073.389 Degrees of Freedom 66 P-Value 0.0000 CFI/TLI CFI 0.933 TLI 0.914 Loglikelihood H0 Value -5583.177 H1 Value -5524.968 Information Criteria Number of Free Parameters 39 Akaike (AIC) 11244.354 Bayesian (BIC) 11383.668 Sample-Size Adjusted BIC 11260.019 (n* = (n + 2) / 24) RMSEA (Root Mean Square Error Of Approximation) Estimate 0.071 SRMR (Standardized Root Mean Square Residual) Value 0.056 WRMR (Weighted Root Mean Square Residual) Value 1.257 MODEL RESULTS Estimates S.E. Est./S.E. Std StdYX F1 BY S1 1.000 0.000 0.000 1.511 0.805 S3 0.898 0.063 14.332 1.356 0.718 S4 1.117 0.070 15.980 1.687 0.785 C1 1.202 0.086 13.996 1.816 0.662 C3 0.476 0.046 10.451 0.719 0.640 F2 BY C4 1.000 0.000 0.000 1.243 0.621 R1 0.479 0.078 6.152 0.595 0.512 R2 0.390 0.074 5.303 0.485 0.397 R3 0.530 0.084 6.307 0.659 0.496 R4 0.723 0.091 7.925 0.899 0.749 F3 BY S2 1.000 0.000 0.000 1.672 0.730 C2 0.710 0.080 8.917 1.187 0.731 F2 WITH F1 0.810 0.161 5.043 0.431 0.431 F3 WITH F1 1.966 0.257 7.648 0.778 0.778 F2 0.957 0.203 4.719 0.460 0.460 Intercepts S1 3.840 0.116 33.203 3.840 2.047 S2 6.433 0.141 45.537 6.433 2.808 S3 3.787 0.116 32.519 3.787 2.005 S4 4.992 0.132 37.684 4.992 2.324 C1 4.650 0.169 27.472 4.650 1.694 C3 3.103 0.069 44.768 3.103 2.761 C4 2.844 0.123 23.033 2.844 1.420 C2 4.395 0.100 43.917 4.395 2.708 R1 1.517 0.072 21.157 1.517 1.305 R2 1.023 0.075 13.554 1.023 0.836 R3 1.414 0.082 17.273 1.414 1.065 R4 1.262 0.074 17.056 1.262 1.052 Variances F1 2.282 0.253 9.013 1.000 1.000 F2 1.545 0.339 4.560 1.000 1.000 F3 2.796 0.466 5.996 1.000 1.000 Residual Variances S1 1.236 0.135 9.180 1.236 0.351 S2 2.454 0.394 6.233 2.454 0.467 S3 1.728 0.166 10.409 1.728 0.484 S4 1.770 0.184 9.595 1.770 0.383 C1 4.238 0.393 10.776 4.238 0.562 C3 0.746 0.085 8.756 0.746 0.590 C4 2.464 0.315 7.828 2.464 0.615 C2 1.226 0.172 7.142 1.226 0.465 R1 0.998 0.088 11.366 0.998 0.738 R2 1.262 0.113 11.188 1.262 0.843 R3 1.329 0.114 11.611 1.329 0.754 R4 0.632 0.089 7.138 0.632 0.439 R-SQUARE Observed Variable R-Square S1 0.649 S2 0.533 S3 0.516 S4 0.617 C1 0.438 C3 0.410 C4 0.385 C2 0.535 R1 0.262 R2 0.157 R3 0.246 R4 0.561 QUALITY OF NUMERICAL RESULTS Condition Number for the Information Matrix 0.420E-02 (ratio of smallest to largest eigenvalue) RESIDUAL OUTPUT ESTIMATED MODEL AND RESIDUALS (OBSERVED - ESTIMATED) Model Estimated Means/Intercepts/Thresholds S1 S2 S3 S4 C1 ________ ________ ________ ________ ________ 1 3.840 6.433 3.787 4.992 4.650 Model Estimated Means/Intercepts/Thresholds C3 C4 C2 R1 R2 ________ ________ ________ ________ ________ 1 3.103 2.844 4.395 1.517 1.023 Model Estimated Means/Intercepts/Thresholds R3 R4 ________ ________ 1 1.414 1.262 Residuals for Means/Intercepts/Thresholds S1 S2 S3 S4 C1 ________ ________ ________ ________ ________ 1 0.000 0.000 0.000 0.000 0.000 Residuals for Means/Intercepts/Thresholds C3 C4 C2 R1 R2 ________ ________ ________ ________ ________ 1 0.000 0.000 0.000 0.000 0.000 Residuals for Means/Intercepts/Thresholds R3 R4 ________ ________ 1 0.000 0.000 Model Estimated Covariances/Correlations/Residual Correlations S1 S2 S3 S4 C1 ________ ________ ________ ________ ________ S1 3.518 S2 1.966 5.249 S3 2.049 1.765 3.567 S4 2.549 2.196 2.288 4.616 C1 2.744 2.364 2.462 3.064 7.535 C3 1.087 0.936 0.975 1.213 1.306 C4 0.810 0.957 0.727 0.904 0.973 C2 1.396 1.985 1.253 1.559 1.678 R1 0.388 0.458 0.348 0.433 0.466 R2 0.316 0.373 0.284 0.353 0.380 R3 0.429 0.507 0.385 0.479 0.516 R4 0.585 0.692 0.525 0.654 0.704 Model Estimated Covariances/Correlations/Residual Correlations C3 C4 C2 R1 R2 ________ ________ ________ ________ ________ C3 1.263 C4 0.385 4.010 C2 0.665 0.679 2.635 R1 0.185 0.740 0.325 1.352 R2 0.150 0.603 0.265 0.289 1.498 R3 0.204 0.820 0.360 0.393 0.320 R4 0.279 1.118 0.491 0.535 0.436 Model Estimated Covariances/Correlations/Residual Correlations R3 R4 ________ ________ R3 1.764 R4 0.593 1.441 Residuals for Covariances/Correlations/Residual Correlations S1 S2 S3 S4 C1 ________ ________ ________ ________ ________ S1 0.000 S2 -0.296 0.000 S3 -0.067 0.209 0.000 S4 0.112 0.138 -0.183 0.000 C1 0.174 -0.319 0.193 -0.081 0.000 C3 0.036 0.053 0.027 -0.053 -0.160 C4 -0.336 -0.151 -0.429 0.410 -0.282 C2 -0.086 0.000 0.303 -0.115 0.019 R1 -0.020 0.398 0.085 0.233 -0.038 R2 0.060 0.255 0.071 0.343 0.153 R3 -0.158 -0.041 -0.137 0.261 -0.382 R4 -0.201 0.042 -0.021 0.287 -0.182 Residuals for Covariances/Correlations/Residual Correlations C3 C4 C2 R1 R2 ________ ________ ________ ________ ________ C3 0.000 C4 -0.118 0.000 C2 0.078 -0.363 0.000 R1 0.036 -0.158 0.067 0.000 R2 0.193 0.206 0.064 -0.114 0.000 R3 0.042 0.119 -0.170 -0.116 0.203 R4 0.029 0.022 -0.005 0.093 -0.138 Residuals for Covariances/Correlations/Residual Correlations R3 R4 ________ ________ R3 0.000 R4 -0.028 0.000 MODEL MODIFICATION INDICES Minimum M.I. value for printing the modification index 10.000 M.I. E.P.C. Std E.P.C. StdYX E.P.C. BY Statements F2 BY S1 10.753 -0.295 -0.367 -0.196 F2 BY S4 24.370 0.516 0.642 0.299 F3 BY S1 10.014 -0.403 -0.675 -0.360 WITH Statements R4 WITH R1 10.714 0.271 0.271 0.194 R4 WITH R2 14.244 -0.308 -0.308 -0.210 TECHNICAL 1 OUTPUT PARAMETER SPECIFICATION NU S1 S2 S3 S4 C1 ________ ________ ________ ________ ________ 1 1 2 3 4 5 NU C3 C4 C2 R1 R2 ________ ________ ________ ________ ________ 1 6 7 8 9 10 NU R3 R4 ________ ________ 1 11 12 LAMBDA F1 F2 F3 ________ ________ ________ S1 0 0 0 S2 0 0 0 S3 13 0 0 S4 14 0 0 C1 15 0 0 C3 16 0 0 C4 0 0 0 C2 0 0 17 R1 0 18 0 R2 0 19 0 R3 0 20 0 R4 0 21 0 THETA S1 S2 S3 S4 C1 ________ ________ ________ ________ ________ S1 22 S2 0 23 S3 0 0 24 S4 0 0 0 25 C1 0 0 0 0 26 C3 0 0 0 0 0 C4 0 0 0 0 0 C2 0 0 0 0 0 R1 0 0 0 0 0 R2 0 0 0 0 0 R3 0 0 0 0 0 R4 0 0 0 0 0 THETA C3 C4 C2 R1 R2 ________ ________ ________ ________ ________ C3 27 C4 0 28 C2 0 0 29 R1 0 0 0 30 R2 0 0 0 0 31 R3 0 0 0 0 0 R4 0 0 0 0 0 THETA R3 R4 ________ ________ R3 32 R4 0 33 ALPHA F1 F2 F3 ________ ________ ________ 1 0 0 0 BETA F1 F2 F3 ________ ________ ________ F1 0 0 0 F2 0 0 0 F3 0 0 0 PSI F1 F2 F3 ________ ________ ________ F1 34 F2 35 36 F3 37 38 39 STARTING VALUES NU S1 S2 S3 S4 C1 ________ ________ ________ ________ ________ 1 3.840 6.433 3.787 4.992 4.650 NU C3 C4 C2 R1 R2 ________ ________ ________ ________ ________ 1 3.103 2.844 4.395 1.517 1.023 NU R3 R4 ________ ________ 1 1.414 1.262 LAMBDA F1 F2 F3 ________ ________ ________ S1 1.000 0.000 0.000 S2 0.000 0.000 1.000 S3 1.000 0.000 0.000 S4 1.000 0.000 0.000 C1 1.000 0.000 0.000 C3 1.000 0.000 0.000 C4 0.000 1.000 0.000 C2 0.000 0.000 1.000 R1 0.000 1.000 0.000 R2 0.000 1.000 0.000 R3 0.000 1.000 0.000 R4 0.000 1.000 0.000 THETA S1 S2 S3 S4 C1 ________ ________ ________ ________ ________ S1 1.766 S2 0.000 2.635 S3 0.000 0.000 1.790 S4 0.000 0.000 0.000 2.317 C1 0.000 0.000 0.000 0.000 3.782 C3 0.000 0.000 0.000 0.000 0.000 C4 0.000 0.000 0.000 0.000 0.000 C2 0.000 0.000 0.000 0.000 0.000 R1 0.000 0.000 0.000 0.000 0.000 R2 0.000 0.000 0.000 0.000 0.000 R3 0.000 0.000 0.000 0.000 0.000 R4 0.000 0.000 0.000 0.000 0.000 THETA C3 C4 C2 R1 R2 ________ ________ ________ ________ ________ C3 0.634 C4 0.000 2.013 C2 0.000 0.000 1.322 R1 0.000 0.000 0.000 0.679 R2 0.000 0.000 0.000 0.000 0.752 R3 0.000 0.000 0.000 0.000 0.000 R4 0.000 0.000 0.000 0.000 0.000 THETA R3 R4 ________ ________ R3 0.885 R4 0.000 0.723 ALPHA F1 F2 F3 ________ ________ ________ 1 0.000 0.000 0.000 BETA F1 F2 F3 ________ ________ ________ F1 0.000 0.000 0.000 F2 0.000 0.000 0.000 F3 0.000 0.000 0.000 PSI F1 F2 F3 ________ ________ ________ F1 0.050 F2 0.000 0.050 F3 0.000 0.000 0.050 TECHNICAL 4 OUTPUT ESTIMATES DERIVED FROM THE MODEL ESTIMATED MEANS FOR THE LATENT VARIABLES F1 F2 F3 ________ ________ ________ 1 0.000 0.000 0.000 ESTIMATED COVARIANCE MATRIX FOR THE LATENT VARIABLES F1 F2 F3 ________ ________ ________ F1 2.282 F2 0.810 1.545 F3 1.966 0.957 2.796 ESTIMATED CORRELATION MATRIX FOR THE LATENT VARIABLES F1 F2 F3 ________ ________ ________ F1 1.000 F2 0.431 1.000 F3 0.778 0.460 1.000 SUMMARY OF FACTOR SCORES FACTOR SCORE INFORMATION FACTOR DETERMINACIES F1 0.934 F2 0.866 F3 0.881 Beginning Time: 13:44:30 Ending Time: 13:44:31 Elapsed Time: 00:00:01 MUTHEN & MUTHEN 3463 Stoner Ave. Los Angeles, CA 90066 Tel: (310) 391-9971 Fax: (310) 391-8971 Web: www.StatModel.com Support: Support@StatModel.com Copyright (c) 1998-2006 Muthen & Muthen