Mplus VERSION 4.2 MUTHEN & MUTHEN 06/12/2007 1:42 PM INPUT INSTRUCTIONS TITLE: B2 THREE-FACTOR MODEL - Utrecht current scores MLM estimation DATA: FILE IS "C:\LANG\Utrecht-current.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 current 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-current.DAT Input data format FREE SAMPLE STATISTICS SAMPLE STATISTICS Means S1 S2 S3 S4 C1 ________ ________ ________ ________ ________ 1 1.958 3.422 2.719 3.418 4.103 Means C3 C4 C2 R1 R2 ________ ________ ________ ________ ________ 1 2.468 1.806 1.779 1.167 0.814 Means R3 R4 ________ ________ 1 1.038 0.722 Covariances S1 S2 S3 S4 C1 ________ ________ ________ ________ ________ S1 1.918 S2 0.606 8.894 S3 1.240 1.100 3.340 S4 1.464 1.716 1.672 3.863 C1 1.897 1.487 2.357 2.678 7.024 C3 0.741 0.878 0.949 1.120 1.379 C4 0.167 1.445 -0.093 0.856 0.268 C2 0.411 5.429 0.835 1.005 0.832 R1 0.133 0.296 0.280 0.250 0.238 R2 0.152 0.713 0.127 0.330 0.374 R3 0.089 0.656 -0.142 0.286 -0.118 R4 0.141 0.637 0.090 0.346 0.029 Covariances C3 C4 C2 R1 R2 ________ ________ ________ ________ ________ C3 1.448 C4 0.278 2.508 C2 0.504 1.011 4.829 R1 0.250 0.292 0.174 1.010 R2 0.202 0.578 0.302 0.131 1.290 R3 0.142 0.565 0.356 0.150 0.347 R4 0.256 0.557 0.542 0.237 0.253 Covariances R3 R4 ________ ________ R3 1.518 R4 0.266 0.804 Correlations S1 S2 S3 S4 C1 ________ ________ ________ ________ ________ S1 1.000 S2 0.147 1.000 S3 0.490 0.202 1.000 S4 0.538 0.293 0.465 1.000 C1 0.517 0.188 0.487 0.514 1.000 C3 0.445 0.245 0.431 0.474 0.432 C4 0.076 0.306 -0.032 0.275 0.064 C2 0.135 0.828 0.208 0.233 0.143 R1 0.096 0.099 0.152 0.127 0.090 R2 0.097 0.210 0.061 0.148 0.124 R3 0.052 0.178 -0.063 0.118 -0.036 R4 0.114 0.238 0.055 0.196 0.012 Correlations C3 C4 C2 R1 R2 ________ ________ ________ ________ ________ C3 1.000 C4 0.146 1.000 C2 0.191 0.290 1.000 R1 0.206 0.184 0.079 1.000 R2 0.148 0.322 0.121 0.114 1.000 R3 0.096 0.289 0.131 0.121 0.248 R4 0.237 0.392 0.275 0.263 0.249 Correlations R3 R4 ________ ________ R3 1.000 R4 0.241 1.000 THE MODEL ESTIMATION TERMINATED NORMALLY TESTS OF MODEL FIT Chi-Square Test of Model Fit Value 83.438* Degrees of Freedom 51 P-Value 0.0028 Scaling Correction Factor 1.000 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 995.294 Degrees of Freedom 66 P-Value 0.0000 CFI/TLI CFI 0.965 TLI 0.955 Loglikelihood H0 Value -5423.190 H1 Value -5381.462 Information Criteria Number of Free Parameters 39 Akaike (AIC) 10924.380 Bayesian (BIC) 11063.694 Sample-Size Adjusted BIC 10940.045 (n* = (n + 2) / 24) RMSEA (Root Mean Square Error Of Approximation) Estimate 0.049 SRMR (Standardized Root Mean Square Residual) Value 0.049 WRMR (Weighted Root Mean Square Residual) Value 1.086 MODEL RESULTS Estimates S.E. Est./S.E. Std StdYX F1 BY S1 1.000 0.000 0.000 0.993 0.719 S3 1.216 0.107 11.346 1.208 0.662 S4 1.469 0.127 11.545 1.459 0.744 C1 1.864 0.140 13.268 1.851 0.700 C3 0.771 0.081 9.515 0.766 0.638 F2 BY C4 1.000 0.000 0.000 1.057 0.669 R1 0.302 0.070 4.291 0.319 0.318 R2 0.503 0.090 5.559 0.532 0.469 R3 0.498 0.097 5.108 0.526 0.428 R4 0.500 0.078 6.421 0.528 0.590 F3 BY S2 1.000 0.000 0.000 2.873 0.965 C2 0.655 0.052 12.492 1.883 0.858 F2 WITH F1 0.296 0.100 2.954 0.281 0.281 F3 WITH F1 0.907 0.218 4.158 0.318 0.318 F2 1.355 0.276 4.908 0.446 0.446 Intercepts S1 1.958 0.085 22.973 1.958 1.417 S2 3.422 0.184 18.644 3.422 1.150 S3 2.719 0.112 24.169 2.719 1.490 S4 3.418 0.121 28.260 3.418 1.743 C1 4.103 0.163 25.153 4.103 1.551 C3 2.468 0.074 33.316 2.468 2.054 C4 1.806 0.097 18.530 1.806 1.143 C2 1.779 0.135 13.157 1.779 0.811 R1 1.167 0.062 18.872 1.167 1.164 R2 0.814 0.070 11.642 0.814 0.718 R3 1.038 0.076 13.691 1.038 0.844 R4 0.722 0.055 13.088 0.722 0.807 Variances F1 0.987 0.135 7.322 1.000 1.000 F2 1.118 0.228 4.906 1.000 1.000 F3 8.254 0.890 9.272 1.000 1.000 Residual Variances S1 0.924 0.099 9.373 0.924 0.484 S2 0.606 0.725 0.836 0.606 0.068 S3 1.869 0.172 10.876 1.869 0.562 S4 1.719 0.190 9.037 1.719 0.447 C1 3.570 0.381 9.377 3.570 0.510 C3 0.856 0.094 9.107 0.856 0.594 C4 1.381 0.187 7.388 1.381 0.553 C2 1.267 0.326 3.881 1.267 0.263 R1 0.904 0.076 11.976 0.904 0.899 R2 1.002 0.115 8.741 1.002 0.780 R3 1.235 0.126 9.801 1.235 0.817 R4 0.522 0.058 9.019 0.522 0.652 R-SQUARE Observed Variable R-Square S1 0.516 S2 0.932 S3 0.438 S4 0.553 C1 0.490 C3 0.406 C4 0.447 C2 0.737 R1 0.101 R2 0.220 R3 0.183 R4 0.348 QUALITY OF NUMERICAL RESULTS Condition Number for the Information Matrix 0.111E-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 1.958 3.422 2.719 3.418 4.103 Model Estimated Means/Intercepts/Thresholds C3 C4 C2 R1 R2 ________ ________ ________ ________ ________ 1 2.468 1.806 1.779 1.167 0.814 Model Estimated Means/Intercepts/Thresholds R3 R4 ________ ________ 1 1.038 0.722 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 1.911 S2 0.907 8.860 S3 1.200 1.102 3.328 S4 1.450 1.332 1.762 3.848 C1 1.839 1.690 2.236 2.701 6.997 C3 0.761 0.699 0.925 1.117 1.418 C4 0.296 1.355 0.359 0.434 0.551 C2 0.594 5.409 0.722 0.873 1.107 R1 0.089 0.409 0.109 0.131 0.166 R2 0.149 0.681 0.181 0.218 0.277 R3 0.147 0.674 0.179 0.216 0.274 R4 0.148 0.677 0.180 0.217 0.275 Model Estimated Covariances/Correlations/Residual Correlations C3 C4 C2 R1 R2 ________ ________ ________ ________ ________ C3 1.443 C4 0.228 2.499 C2 0.458 0.888 4.811 R1 0.069 0.338 0.268 1.006 R2 0.115 0.562 0.446 0.170 1.285 R3 0.113 0.556 0.442 0.168 0.280 R4 0.114 0.559 0.444 0.169 0.281 Model Estimated Covariances/Correlations/Residual Correlations R3 R4 ________ ________ R3 1.512 R4 0.278 0.801 Residuals for Covariances/Correlations/Residual Correlations S1 S2 S3 S4 C1 ________ ________ ________ ________ ________ S1 0.000 S2 -0.304 0.000 S3 0.036 -0.006 0.000 S4 0.009 0.378 -0.097 0.000 C1 0.051 -0.208 0.112 -0.033 0.000 C3 -0.023 0.176 0.020 -0.001 -0.044 C4 -0.129 0.085 -0.452 0.419 -0.284 C2 -0.185 0.000 0.109 0.128 -0.279 R1 0.043 -0.115 0.170 0.118 0.071 R2 0.003 0.028 -0.054 0.111 0.096 R3 -0.058 -0.021 -0.320 0.068 -0.392 R4 -0.007 -0.043 -0.090 0.127 -0.247 Residuals for Covariances/Correlations/Residual Correlations C3 C4 C2 R1 R2 ________ ________ ________ ________ ________ C3 0.000 C4 0.049 0.000 C2 0.044 0.119 0.000 R1 0.180 -0.047 -0.094 0.000 R2 0.087 0.014 -0.145 -0.040 0.000 R3 0.029 0.006 -0.087 -0.018 0.066 R4 0.141 -0.004 0.096 0.068 -0.028 Residuals for Covariances/Correlations/Residual Correlations R3 R4 ________ ________ R3 0.000 R4 -0.013 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 S4 13.538 0.425 0.450 0.229 WITH Statements C4 WITH S4 12.186 0.435 0.435 0.140 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 1.958 3.422 2.719 3.418 4.103 NU C3 C4 C2 R1 R2 ________ ________ ________ ________ ________ 1 2.468 1.806 1.779 1.167 0.814 NU R3 R4 ________ ________ 1 1.038 0.722 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 0.959 S2 0.000 4.447 S3 0.000 0.000 1.670 S4 0.000 0.000 0.000 1.931 C1 0.000 0.000 0.000 0.000 3.512 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 0.724 C4 0.000 1.254 C2 0.000 0.000 2.415 R1 0.000 0.000 0.000 0.505 R2 0.000 0.000 0.000 0.000 0.645 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 0.759 R4 0.000 0.402 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 0.987 F2 0.296 1.118 F3 0.907 1.355 8.254 ESTIMATED CORRELATION MATRIX FOR THE LATENT VARIABLES F1 F2 F3 ________ ________ ________ F1 1.000 F2 0.281 1.000 F3 0.318 0.446 1.000 SUMMARY OF FACTOR SCORES FACTOR SCORE INFORMATION FACTOR DETERMINACIES F1 0.911 F2 0.831 F3 0.971 Beginning Time: 13:42:47 Ending Time: 13:42:48 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