Mplus VERSION 7.11 MUTHEN & MUTHEN 01/20/2014 10:19 PM INPUT INSTRUCTIONS TITLE: Kapitel 6, Abschnitt 6.6, Modell tau-kongenerischer Variablen für die sechs logarithmierten Reaktionszeitvariablen, robuste Maximum-Likelihood-Schätzung !Einlesen der Daten DATA: FILE IS daten-kapitel-6.dat; VARIABLE: !Variablen im Datensatz NAMES ARE gender item1-item6; !Variablen in der Analyse USEVARIABLES ARE item1-item6; !Code für fehlende Werte MISSING ARE ALL (-999); ANALYSIS: !Robustre Maximum-Likelihood-Schätzung (MLR) TYPE IS general; ESTIMATOR IS MLR; ITERATIONS = 1000; CONVERGENCE = 0.00005; Model: !Definition des Modells, erste Ladung durch Voreinstellung auf 1 fixiert; !weitere Ladungen frei geschätzt eta by item1-item6; !Anforderung der geschätzten Mittelwerte, Kovarianzen und Korrelationsn (sampstat), !der standardisierten Lösungen (stdyx) und der Konfidenzintervalle (cinterval) !und der vom Modell implizierten Kovarianzmatrix (residual) OUTPUT: sampstat stdyx cinterval residual; INPUT READING TERMINATED NORMALLY Kapitel 6, Abschnitt 6.6, Modell tau-kongenerischer Variablen für die sechs logarithmierten Reaktionszeitvariablen, robuste Maximum-Likelihood-Schätzung SUMMARY OF ANALYSIS Number of groups 1 Number of observations 238 Number of dependent variables 6 Number of independent variables 0 Number of continuous latent variables 1 Observed dependent variables Continuous ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ITEM6 Continuous latent variables ETA Estimator MLR Information matrix OBSERVED Maximum number of iterations 1000 Convergence criterion 0.500D-04 Maximum number of steepest descent iterations 20 Maximum number of iterations for H1 2000 Convergence criterion for H1 0.100D-03 Input data file(s) daten-kapitel-6.dat Input data format FREE SUMMARY OF DATA Number of missing data patterns 1 COVARIANCE COVERAGE OF DATA Minimum covariance coverage value 0.100 PROPORTION OF DATA PRESENT Covariance Coverage ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ ITEM1 1.000 ITEM2 1.000 1.000 ITEM3 1.000 1.000 1.000 ITEM4 1.000 1.000 1.000 1.000 ITEM5 1.000 1.000 1.000 1.000 1.000 ITEM6 1.000 1.000 1.000 1.000 1.000 Covariance Coverage ITEM6 ________ ITEM6 1.000 SAMPLE STATISTICS ESTIMATED SAMPLE STATISTICS Means ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ 1 1.504 1.423 1.392 1.305 1.346 Means ITEM6 ________ 1 1.306 Covariances ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ ITEM1 0.128 ITEM2 0.063 0.135 ITEM3 0.064 0.067 0.153 ITEM4 0.067 0.070 0.081 0.165 ITEM5 0.045 0.065 0.066 0.072 0.141 ITEM6 0.057 0.056 0.065 0.075 0.054 Covariances ITEM6 ________ ITEM6 0.146 Correlations ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ ITEM1 1.000 ITEM2 0.481 1.000 ITEM3 0.453 0.463 1.000 ITEM4 0.457 0.465 0.510 1.000 ITEM5 0.331 0.473 0.446 0.471 1.000 ITEM6 0.413 0.400 0.433 0.485 0.379 Correlations ITEM6 ________ ITEM6 1.000 MAXIMUM LOG-LIKELIHOOD VALUE FOR THE UNRESTRICTED (H1) MODEL IS -427.396 THE MODEL ESTIMATION TERMINATED NORMALLY MODEL FIT INFORMATION Number of Free Parameters 18 Loglikelihood H0 Value -432.180 H0 Scaling Correction Factor 1.0921 for MLR H1 Value -427.396 H1 Scaling Correction Factor 1.0867 for MLR Information Criteria Akaike (AIC) 900.360 Bayesian (BIC) 962.861 Sample-Size Adjusted BIC 905.806 (n* = (n + 2) / 24) Chi-Square Test of Model Fit Value 8.894* Degrees of Freedom 9 P-Value 0.4471 Scaling Correction Factor 1.0758 for MLR * The chi-square value for MLM, MLMV, MLR, ULSMV, WLSM and WLSMV cannot be used for chi-square difference testing in the regular way. MLM, MLR and WLSM chi-square difference testing is described on the Mplus website. MLMV, WLSMV, and ULSMV difference testing is done using the DIFFTEST option. RMSEA (Root Mean Square Error Of Approximation) Estimate 0.000 90 Percent C.I. 0.000 0.072 Probability RMSEA <= .05 0.804 CFI/TLI CFI 1.000 TLI 1.000 Chi-Square Test of Model Fit for the Baseline Model Value 424.389 Degrees of Freedom 15 P-Value 0.0000 SRMR (Standardized Root Mean Square Residual) Value 0.021 MODEL RESULTS Two-Tailed Estimate S.E. Est./S.E. P-Value ETA BY ITEM1 1.000 0.000 999.000 999.000 ITEM2 1.098 0.123 8.925 0.000 ITEM3 1.194 0.146 8.163 0.000 ITEM4 1.294 0.158 8.213 0.000 ITEM5 1.032 0.146 7.053 0.000 ITEM6 1.049 0.149 7.037 0.000 Intercepts ITEM1 1.504 0.023 64.757 0.000 ITEM2 1.423 0.024 59.647 0.000 ITEM3 1.392 0.025 54.862 0.000 ITEM4 1.305 0.026 49.486 0.000 ITEM5 1.346 0.024 55.221 0.000 ITEM6 1.306 0.025 52.662 0.000 Variances ETA 0.052 0.014 3.764 0.000 Residual Variances ITEM1 0.076 0.008 9.186 0.000 ITEM2 0.072 0.008 8.541 0.000 ITEM3 0.079 0.009 8.418 0.000 ITEM4 0.078 0.010 7.954 0.000 ITEM5 0.086 0.010 8.780 0.000 ITEM6 0.089 0.010 9.266 0.000 STANDARDIZED MODEL RESULTS STDYX Standardization Two-Tailed Estimate S.E. Est./S.E. P-Value ETA BY ITEM1 0.638 0.060 10.702 0.000 ITEM2 0.682 0.052 13.230 0.000 ITEM3 0.697 0.049 14.115 0.000 ITEM4 0.728 0.043 17.096 0.000 ITEM5 0.628 0.055 11.330 0.000 ITEM6 0.628 0.053 11.798 0.000 Intercepts ITEM1 4.198 0.253 16.571 0.000 ITEM2 3.866 0.228 16.936 0.000 ITEM3 3.556 0.194 18.378 0.000 ITEM4 3.208 0.185 17.362 0.000 ITEM5 3.579 0.202 17.691 0.000 ITEM6 3.414 0.180 18.945 0.000 Variances ETA 1.000 0.000 999.000 999.000 Residual Variances ITEM1 0.593 0.076 7.783 0.000 ITEM2 0.534 0.070 7.588 0.000 ITEM3 0.514 0.069 7.456 0.000 ITEM4 0.471 0.062 7.596 0.000 ITEM5 0.606 0.070 8.721 0.000 ITEM6 0.606 0.067 9.082 0.000 R-SQUARE Observed Two-Tailed Variable Estimate S.E. Est./S.E. P-Value ITEM1 0.407 0.076 5.351 0.000 ITEM2 0.466 0.070 6.615 0.000 ITEM3 0.486 0.069 7.057 0.000 ITEM4 0.529 0.062 8.548 0.000 ITEM5 0.394 0.070 5.665 0.000 ITEM6 0.394 0.067 5.899 0.000 QUALITY OF NUMERICAL RESULTS Condition Number for the Information Matrix 0.553E-03 (ratio of smallest to largest eigenvalue) CONFIDENCE INTERVALS OF MODEL RESULTS Lower .5% Lower 2.5% Lower 5% Estimate Upper 5% Upper 2.5% Upper .5% ETA BY ITEM1 1.000 1.000 1.000 1.000 1.000 1.000 1.000 ITEM2 0.781 0.857 0.896 1.098 1.301 1.339 1.415 ITEM3 0.817 0.907 0.953 1.194 1.434 1.480 1.570 ITEM4 0.888 0.985 1.035 1.294 1.553 1.603 1.700 ITEM5 0.655 0.745 0.791 1.032 1.273 1.319 1.409 ITEM6 0.665 0.757 0.804 1.049 1.295 1.342 1.434 Intercepts ITEM1 1.444 1.458 1.466 1.504 1.542 1.550 1.564 ITEM2 1.361 1.376 1.384 1.423 1.462 1.470 1.484 ITEM3 1.327 1.342 1.350 1.392 1.434 1.442 1.458 ITEM4 1.237 1.253 1.261 1.305 1.348 1.356 1.373 ITEM5 1.284 1.299 1.306 1.346 1.386 1.394 1.409 ITEM6 1.242 1.257 1.265 1.306 1.346 1.354 1.370 Variances ETA 0.017 0.025 0.029 0.052 0.075 0.080 0.088 Residual Variances ITEM1 0.055 0.060 0.062 0.076 0.090 0.092 0.097 ITEM2 0.051 0.056 0.058 0.072 0.086 0.089 0.094 ITEM3 0.055 0.060 0.063 0.079 0.094 0.097 0.103 ITEM4 0.053 0.059 0.062 0.078 0.094 0.097 0.103 ITEM5 0.061 0.067 0.070 0.086 0.102 0.105 0.111 ITEM6 0.064 0.070 0.073 0.089 0.104 0.107 0.113 CONFIDENCE INTERVALS OF STANDARDIZED MODEL RESULTS STDYX Standardization Lower .5% Lower 2.5% Lower 5% Estimate Upper 5% Upper 2.5% Upper .5% ETA BY ITEM1 0.485 0.521 0.540 0.638 0.736 0.755 0.792 ITEM2 0.550 0.581 0.598 0.682 0.767 0.784 0.815 ITEM3 0.570 0.600 0.616 0.697 0.779 0.794 0.825 ITEM4 0.618 0.644 0.658 0.728 0.798 0.811 0.837 ITEM5 0.485 0.519 0.536 0.628 0.719 0.736 0.770 ITEM6 0.491 0.523 0.540 0.628 0.715 0.732 0.765 Intercepts ITEM1 3.545 3.701 3.781 4.198 4.614 4.694 4.850 ITEM2 3.278 3.419 3.491 3.866 4.242 4.314 4.454 ITEM3 3.058 3.177 3.238 3.556 3.874 3.935 4.055 ITEM4 2.732 2.846 2.904 3.208 3.512 3.570 3.684 ITEM5 3.058 3.183 3.247 3.579 3.912 3.976 4.101 ITEM6 2.949 3.060 3.117 3.414 3.710 3.767 3.878 Variances ETA 1.000 1.000 1.000 1.000 1.000 1.000 1.000 Residual Variances ITEM1 0.396 0.443 0.467 0.593 0.718 0.742 0.789 ITEM2 0.353 0.396 0.418 0.534 0.650 0.672 0.716 ITEM3 0.336 0.379 0.400 0.514 0.627 0.649 0.691 ITEM4 0.311 0.349 0.369 0.471 0.572 0.592 0.630 ITEM5 0.427 0.470 0.492 0.606 0.721 0.742 0.785 ITEM6 0.434 0.475 0.496 0.606 0.716 0.737 0.778 RESIDUAL OUTPUT ESTIMATED MODEL AND RESIDUALS (OBSERVED - ESTIMATED) Model Estimated Means/Intercepts/Thresholds ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ 1 1.504 1.423 1.392 1.305 1.346 Model Estimated Means/Intercepts/Thresholds ITEM6 ________ 1 1.306 Residuals for Means/Intercepts/Thresholds ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ 1 0.000 0.000 0.000 0.000 0.000 Residuals for Means/Intercepts/Thresholds ITEM6 ________ 1 0.000 Standardized Residuals (z-scores) for Means/Intercepts/Thresholds ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ 1 0.000 0.000 0.000 0.000 0.000 Standardized Residuals (z-scores) for Means/Intercepts/Thresholds ITEM6 ________ 1 0.000 Normalized Residuals for Means/Intercepts/Thresholds ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ 1 0.000 0.000 0.000 0.000 0.000 Normalized Residuals for Means/Intercepts/Thresholds ITEM6 ________ 1 0.000 Model Estimated Covariances/Correlations/Residual Correlations ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ ITEM1 0.128 ITEM2 0.057 0.135 ITEM3 0.062 0.069 0.153 ITEM4 0.068 0.074 0.081 0.165 ITEM5 0.054 0.059 0.064 0.070 0.141 ITEM6 0.055 0.060 0.066 0.071 0.057 Model Estimated Covariances/Correlations/Residual Correlations ITEM6 ________ ITEM6 0.146 Residuals for Covariances/Correlations/Residual Correlations ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ ITEM1 0.000 ITEM2 0.006 0.000 ITEM3 0.001 -0.002 0.000 ITEM4 -0.001 -0.005 0.000 0.000 ITEM5 -0.009 0.006 0.001 0.002 0.000 ITEM6 0.002 -0.004 -0.001 0.004 -0.002 Residuals for Covariances/Correlations/Residual Correlations ITEM6 ________ ITEM6 0.000 Standardized Residuals (z-scores) for Covariances/Correlations/Residual Corr ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ ITEM1 0.000 ITEM2 3.640 0.000 ITEM3 0.386 -0.662 0.000 ITEM4 -0.232 -1.540 0.080 0.000 ITEM5 -1.776 1.866 0.285 0.588 0.000 ITEM6 0.368 -0.790 -0.138 1.167 -0.434 Standardized Residuals (z-scores) for Covariances/Correlations/Residual Corr ITEM6 ________ ITEM6 0.000 Normalized Residuals for Covariances/Correlations/Residual Correlations ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ ITEM1 0.000 ITEM2 0.468 0.000 ITEM3 0.088 -0.142 0.000 ITEM4 -0.072 -0.333 0.026 0.000 ITEM5 -0.740 0.504 0.094 0.151 0.000 ITEM6 0.141 -0.302 -0.053 0.335 -0.181 Normalized Residuals for Covariances/Correlations/Residual Correlations ITEM6 ________ ITEM6 0.000 DIAGRAM INFORMATION Use View Diagram under the Diagram menu in the Mplus Editor to view the diagram. If running Mplus from the Mplus Diagrammer, the diagram opens automatically. Diagram output c:\users\eid\documents\lehrbuch-testtheorie\kapitel\kapitel 6 - ktt\daten\lehrbuch\tau-kongeneri Beginning Time: 22:19:01 Ending Time: 22:19:01 Elapsed Time: 00:00:00 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) 1998-2013 Muthen & Muthen