Mplus VERSION 7.11 MUTHEN & MUTHEN 01/20/2014 6:21 PM INPUT INSTRUCTIONS TITLE: Kapitel 6, Abschnitt 6.5, Modell essentiell tau-paralleler 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: !Maximum-Likelihood-Schätzung TYPE IS general; ESTIMATOR IS MLR; ITERATIONS = 1000; CONVERGENCE = 0.00005; Model: !Definition des Modells, erste Ladung durch Voreinstellung auf 1 fixiert; !weitere Ladungen auf 1 fixiert mit @1 eta by item1 item2@1 item3@1 item4@1 item5@1 item6@1; ! Gleichsetzung der Fehlervarianzen item1-item6 (fvar); !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; !Anforderung der Faktorwertkoeffizienten (fscoefficient) und der Korrelation der geschätzt ! Personenwerte (Faktorwerte) und der latenten Variablen eta (fsdeterminacy) OUTPUT: fscoefficient fsdeterminacy; ! Anforderung der factor scores. Diese werden in die Datei ! file is ess-tau-eq-fs.dat geschrieben mit Standardfehlern und ! den Werten der beobachteten Variablen savedata: file is ess-tau-par-fs.dat; save = fscores; *** WARNING Input line exceeded 90 characters. Some input may be truncated. !Anforderung der Faktorwertkoeffizienten (fscoefficient) und der Korrelation der geschätzte 1 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS Kapitel 6, Abschnitt 6.5, Modell essentiell tau-paralleler 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 8 Loglikelihood H0 Value -437.339 H0 Scaling Correction Factor 1.2033 for MLR H1 Value -427.396 H1 Scaling Correction Factor 1.0867 for MLR Information Criteria Akaike (AIC) 890.677 Bayesian (BIC) 918.455 Sample-Size Adjusted BIC 893.098 (n* = (n + 2) / 24) Chi-Square Test of Model Fit Value 19.166* Degrees of Freedom 19 P-Value 0.4462 Scaling Correction Factor 1.0376 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 0.006 90 Percent C.I. 0.000 0.057 Probability RMSEA <= .05 0.903 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 0.088 MODEL RESULTS Two-Tailed Estimate S.E. Est./S.E. P-Value ETA BY ITEM1 1.000 0.000 999.000 999.000 ITEM2 1.000 0.000 999.000 999.000 ITEM3 1.000 0.000 999.000 999.000 ITEM4 1.000 0.000 999.000 999.000 ITEM5 1.000 0.000 999.000 999.000 ITEM6 1.000 0.000 999.000 999.000 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 0.064 0.011 5.877 0.000 Residual Variances ITEM1 0.081 0.004 21.574 0.000 ITEM2 0.081 0.004 21.574 0.000 ITEM3 0.081 0.004 21.574 0.000 ITEM4 0.081 0.004 21.574 0.000 ITEM5 0.081 0.004 21.574 0.000 ITEM6 0.081 0.004 21.574 0.000 STANDARDIZED MODEL RESULTS STDYX Standardization Two-Tailed Estimate S.E. Est./S.E. P-Value ETA BY ITEM1 0.667 0.033 20.042 0.000 ITEM2 0.667 0.033 20.042 0.000 ITEM3 0.667 0.033 20.042 0.000 ITEM4 0.667 0.033 20.042 0.000 ITEM5 0.667 0.033 20.042 0.000 ITEM6 0.667 0.033 20.042 0.000 Intercepts ITEM1 3.949 0.182 21.734 0.000 ITEM2 3.736 0.176 21.256 0.000 ITEM3 3.655 0.173 21.140 0.000 ITEM4 3.426 0.165 20.811 0.000 ITEM5 3.535 0.168 20.980 0.000 ITEM6 3.428 0.162 21.143 0.000 Variances ETA 1.000 0.000 999.000 999.000 Residual Variances ITEM1 0.556 0.044 12.532 0.000 ITEM2 0.556 0.044 12.532 0.000 ITEM3 0.556 0.044 12.532 0.000 ITEM4 0.556 0.044 12.532 0.000 ITEM5 0.556 0.044 12.532 0.000 ITEM6 0.556 0.044 12.532 0.000 R-SQUARE Observed Two-Tailed Variable Estimate S.E. Est./S.E. P-Value ITEM1 0.444 0.044 10.021 0.000 ITEM2 0.444 0.044 10.021 0.000 ITEM3 0.444 0.044 10.021 0.000 ITEM4 0.444 0.044 10.021 0.000 ITEM5 0.444 0.044 10.021 0.000 ITEM6 0.444 0.044 10.021 0.000 QUALITY OF NUMERICAL RESULTS Condition Number for the Information Matrix 0.552E-02 (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 1.000 1.000 1.000 1.000 1.000 1.000 1.000 ITEM3 1.000 1.000 1.000 1.000 1.000 1.000 1.000 ITEM4 1.000 1.000 1.000 1.000 1.000 1.000 1.000 ITEM5 1.000 1.000 1.000 1.000 1.000 1.000 1.000 ITEM6 1.000 1.000 1.000 1.000 1.000 1.000 1.000 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 0.036 0.043 0.046 0.064 0.082 0.086 0.093 Residual Variances ITEM1 0.071 0.073 0.074 0.081 0.087 0.088 0.090 ITEM2 0.071 0.073 0.074 0.081 0.087 0.088 0.090 ITEM3 0.071 0.073 0.074 0.081 0.087 0.088 0.090 ITEM4 0.071 0.073 0.074 0.081 0.087 0.088 0.090 ITEM5 0.071 0.073 0.074 0.081 0.087 0.088 0.090 ITEM6 0.071 0.073 0.074 0.081 0.087 0.088 0.090 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 0.581 0.601 0.612 0.667 0.721 0.732 0.752 ITEM2 0.581 0.601 0.612 0.667 0.721 0.732 0.752 ITEM3 0.581 0.601 0.612 0.667 0.721 0.732 0.752 ITEM4 0.581 0.601 0.612 0.667 0.721 0.732 0.752 ITEM5 0.581 0.601 0.612 0.667 0.721 0.732 0.752 ITEM6 0.581 0.601 0.612 0.667 0.721 0.732 0.752 Intercepts ITEM1 3.481 3.593 3.650 3.949 4.248 4.305 4.417 ITEM2 3.283 3.392 3.447 3.736 4.025 4.081 4.189 ITEM3 3.210 3.316 3.371 3.655 3.940 3.994 4.101 ITEM4 3.002 3.103 3.155 3.426 3.696 3.748 3.850 ITEM5 3.101 3.205 3.258 3.535 3.812 3.865 3.969 ITEM6 3.011 3.111 3.162 3.428 3.695 3.746 3.846 Variances ETA 1.000 1.000 1.000 1.000 1.000 1.000 1.000 Residual Variances ITEM1 0.441 0.469 0.483 0.556 0.629 0.643 0.670 ITEM2 0.441 0.469 0.483 0.556 0.629 0.643 0.670 ITEM3 0.441 0.469 0.483 0.556 0.629 0.643 0.670 ITEM4 0.441 0.469 0.483 0.556 0.629 0.643 0.670 ITEM5 0.441 0.469 0.483 0.556 0.629 0.643 0.670 ITEM6 0.441 0.469 0.483 0.556 0.629 0.643 0.670 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 0.145 ITEM2 0.064 0.145 ITEM3 0.064 0.064 0.145 ITEM4 0.064 0.064 0.064 0.145 ITEM5 0.064 0.064 0.064 0.064 0.145 ITEM6 0.064 0.064 0.064 0.064 0.064 Model Estimated Covariances/Correlations/Residual Correlations ITEM6 ________ ITEM6 0.145 Residuals for Covariances/Correlations/Residual Correlations ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ ITEM1 -0.017 ITEM2 -0.001 -0.010 ITEM3 -0.001 0.002 0.008 ITEM4 0.002 0.005 0.017 0.020 ITEM5 -0.020 0.001 0.001 0.008 -0.004 ITEM6 -0.008 -0.008 0.000 0.011 -0.010 Residuals for Covariances/Correlations/Residual Correlations ITEM6 ________ ITEM6 0.001 Standardized Residuals (z-scores) for Covariances/Correlations/Residual Corr ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ ITEM1 -2.058 ITEM2 -0.149 -0.999 ITEM3 -0.112 0.278 0.768 ITEM4 0.247 0.593 1.533 1.423 ITEM5 -3.201 0.184 0.159 0.850 -0.370 ITEM6 -1.515 -1.163 0.052 1.481 -1.986 Standardized Residuals (z-scores) for Covariances/Correlations/Residual Corr ITEM6 ________ ITEM6 0.150 Normalized Residuals for Covariances/Correlations/Residual Correlations ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ ITEM1 -1.197 ITEM2 -0.078 -0.647 ITEM3 -0.064 0.162 0.527 ITEM4 0.156 0.371 1.082 1.116 ITEM5 -1.572 0.082 0.092 0.535 -0.240 ITEM6 -0.647 -0.623 0.029 0.832 -0.827 Normalized Residuals for Covariances/Correlations/Residual Correlations ITEM6 ________ ITEM6 0.089 SUMMARY OF FACTOR SCORES FACTOR SCORE INFORMATION (COMPLETE-DATA PATTERN) FACTOR SCORE COEFFICIENTS ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ ETA 0.138 0.138 0.138 0.138 0.138 FACTOR SCORE COEFFICIENTS ITEM6 ________ ETA 0.138 POSTERIOR COVARIANCE MATRIX FOR ESTIMATED FACTOR SCORES (SQUARED S.E.S ON THE DIAGONAL) ETA ________ ETA 0.011 FACTOR DETERMINACIES ETA 0.910 SAMPLE STATISTICS FOR ESTIMATED FACTOR SCORES SAMPLE STATISTICS Means ETA ETA_SE ________ ________ 1 0.000 0.105 Covariances ETA ETA_SE ________ ________ ETA 0.053 ETA_SE 0.000 0.000 Correlations ETA ETA_SE ________ ________ ETA 1.000 ETA_SE 999.000 1.000 SAVEDATA INFORMATION Save file ess-tau-par-fs.dat Order and format of variables ITEM1 F10.3 ITEM2 F10.3 ITEM3 F10.3 ITEM4 F10.3 ITEM5 F10.3 ITEM6 F10.3 ETA F10.3 ETA_SE F10.3 Save file format 8F10.3 Save file record length 10000 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\essentiell-ta Beginning Time: 18:21:07 Ending Time: 18:21:07 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