Mplus VERSION 7.11 MUTHEN & MUTHEN 01/20/2014 9:03 PM INPUT INSTRUCTIONS TITLE: Kapitel 6, Abschnitt 6.5, Modell 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); ! Gleichsetzung der Leichtigkeitsparameter [item1-item6] (par); !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 6.5, Modell 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 3 Loglikelihood H0 Value -479.627 H0 Scaling Correction Factor 1.5230 for MLR H1 Value -427.396 H1 Scaling Correction Factor 1.0867 for MLR Information Criteria Akaike (AIC) 965.254 Bayesian (BIC) 975.670 Sample-Size Adjusted BIC 966.161 (n* = (n + 2) / 24) Chi-Square Test of Model Fit Value 101.211* Degrees of Freedom 24 P-Value 0.0000 Scaling Correction Factor 1.0321 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 0.116 90 Percent C.I. 0.093 0.140 Probability RMSEA <= .05 0.000 CFI/TLI CFI 0.811 TLI 0.882 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 0.165 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 1.379 0.018 76.247 0.000 ITEM2 1.379 0.018 76.247 0.000 ITEM3 1.379 0.018 76.247 0.000 ITEM4 1.379 0.018 76.247 0.000 ITEM5 1.379 0.018 76.247 0.000 ITEM6 1.379 0.018 76.247 0.000 Variances ETA 0.063 0.011 5.782 0.000 Residual Variances ITEM1 0.087 0.004 22.073 0.000 ITEM2 0.087 0.004 22.073 0.000 ITEM3 0.087 0.004 22.073 0.000 ITEM4 0.087 0.004 22.073 0.000 ITEM5 0.087 0.004 22.073 0.000 ITEM6 0.087 0.004 22.073 0.000 STANDARDIZED MODEL RESULTS STDYX Standardization Two-Tailed Estimate S.E. Est./S.E. P-Value ETA BY ITEM1 0.650 0.034 19.002 0.000 ITEM2 0.650 0.034 19.002 0.000 ITEM3 0.650 0.034 19.002 0.000 ITEM4 0.650 0.034 19.002 0.000 ITEM5 0.650 0.034 19.002 0.000 ITEM6 0.650 0.034 19.002 0.000 Intercepts ITEM1 3.561 0.158 22.476 0.000 ITEM2 3.561 0.158 22.476 0.000 ITEM3 3.561 0.158 22.476 0.000 ITEM4 3.561 0.158 22.476 0.000 ITEM5 3.561 0.158 22.476 0.000 ITEM6 3.561 0.158 22.476 0.000 Variances ETA 1.000 0.000 999.000 999.000 Residual Variances ITEM1 0.577 0.045 12.956 0.000 ITEM2 0.577 0.045 12.956 0.000 ITEM3 0.577 0.045 12.956 0.000 ITEM4 0.577 0.045 12.956 0.000 ITEM5 0.577 0.045 12.956 0.000 ITEM6 0.577 0.045 12.956 0.000 R-SQUARE Observed Two-Tailed Variable Estimate S.E. Est./S.E. P-Value ITEM1 0.423 0.045 9.501 0.000 ITEM2 0.423 0.045 9.501 0.000 ITEM3 0.423 0.045 9.501 0.000 ITEM4 0.423 0.045 9.501 0.000 ITEM5 0.423 0.045 9.501 0.000 ITEM6 0.423 0.045 9.501 0.000 QUALITY OF NUMERICAL RESULTS Condition Number for the Information Matrix 0.381E-01 (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 1.333 1.344 1.350 1.379 1.409 1.415 1.426 ITEM2 1.333 1.344 1.350 1.379 1.409 1.415 1.426 ITEM3 1.333 1.344 1.350 1.379 1.409 1.415 1.426 ITEM4 1.333 1.344 1.350 1.379 1.409 1.415 1.426 ITEM5 1.333 1.344 1.350 1.379 1.409 1.415 1.426 ITEM6 1.333 1.344 1.350 1.379 1.409 1.415 1.426 Variances ETA 0.035 0.042 0.045 0.063 0.082 0.085 0.092 Residual Variances ITEM1 0.076 0.079 0.080 0.087 0.093 0.094 0.097 ITEM2 0.076 0.079 0.080 0.087 0.093 0.094 0.097 ITEM3 0.076 0.079 0.080 0.087 0.093 0.094 0.097 ITEM4 0.076 0.079 0.080 0.087 0.093 0.094 0.097 ITEM5 0.076 0.079 0.080 0.087 0.093 0.094 0.097 ITEM6 0.076 0.079 0.080 0.087 0.093 0.094 0.097 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 0.562 0.583 0.594 0.650 0.707 0.718 0.739 ITEM2 0.562 0.583 0.594 0.650 0.707 0.718 0.739 ITEM3 0.562 0.583 0.594 0.650 0.707 0.718 0.739 ITEM4 0.562 0.583 0.594 0.650 0.707 0.718 0.739 ITEM5 0.562 0.583 0.594 0.650 0.707 0.718 0.739 ITEM6 0.562 0.583 0.594 0.650 0.707 0.718 0.739 Intercepts ITEM1 3.153 3.251 3.301 3.561 3.822 3.872 3.970 ITEM2 3.153 3.251 3.301 3.561 3.822 3.872 3.970 ITEM3 3.153 3.251 3.301 3.561 3.822 3.872 3.970 ITEM4 3.153 3.251 3.301 3.561 3.822 3.872 3.970 ITEM5 3.153 3.251 3.301 3.561 3.822 3.872 3.970 ITEM6 3.153 3.251 3.301 3.561 3.822 3.872 3.970 Variances ETA 1.000 1.000 1.000 1.000 1.000 1.000 1.000 Residual Variances ITEM1 0.462 0.490 0.504 0.577 0.650 0.664 0.692 ITEM2 0.462 0.490 0.504 0.577 0.650 0.664 0.692 ITEM3 0.462 0.490 0.504 0.577 0.650 0.664 0.692 ITEM4 0.462 0.490 0.504 0.577 0.650 0.664 0.692 ITEM5 0.462 0.490 0.504 0.577 0.650 0.664 0.692 ITEM6 0.462 0.490 0.504 0.577 0.650 0.664 0.692 RESIDUAL OUTPUT ESTIMATED MODEL AND RESIDUALS (OBSERVED - ESTIMATED) Model Estimated Means/Intercepts/Thresholds ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ 1 1.379 1.379 1.379 1.379 1.379 Model Estimated Means/Intercepts/Thresholds ITEM6 ________ 1 1.379 Residuals for Means/Intercepts/Thresholds ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ 1 0.125 0.044 0.013 -0.075 -0.033 Residuals for Means/Intercepts/Thresholds ITEM6 ________ 1 -0.074 Standardized Residuals (z-scores) for Means/Intercepts/Thresholds ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ 1 8.561 2.804 0.722 -3.890 -2.016 Standardized Residuals (z-scores) for Means/Intercepts/Thresholds ITEM6 ________ 1 -4.340 Normalized Residuals for Means/Intercepts/Thresholds ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ 1 5.369 1.828 0.506 -2.830 -1.351 Normalized Residuals for Means/Intercepts/Thresholds ITEM6 ________ 1 -2.968 Model Estimated Covariances/Correlations/Residual Correlations ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ ITEM1 0.150 ITEM2 0.063 0.150 ITEM3 0.063 0.063 0.150 ITEM4 0.063 0.063 0.063 0.150 ITEM5 0.063 0.063 0.063 0.063 0.150 ITEM6 0.063 0.063 0.063 0.063 0.063 Model Estimated Covariances/Correlations/Residual Correlations ITEM6 ________ ITEM6 0.150 Residuals for Covariances/Correlations/Residual Correlations ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ ITEM1 -0.022 ITEM2 0.000 -0.015 ITEM3 0.000 0.003 0.003 ITEM4 0.003 0.006 0.018 0.015 ITEM5 -0.019 0.002 0.002 0.009 -0.009 ITEM6 -0.007 -0.007 0.001 0.012 -0.009 Residuals for Covariances/Correlations/Residual Correlations ITEM6 ________ ITEM6 -0.004 Standardized Residuals (z-scores) for Covariances/Correlations/Residual Corr ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ ITEM1 -2.674 ITEM2 0.000 -1.515 ITEM3 0.019 0.404 0.305 ITEM4 0.358 0.706 1.624 1.078 ITEM5 -3.048 0.365 0.287 0.963 -0.884 ITEM6 -1.329 -1.022 0.188 1.616 -1.795 Standardized Residuals (z-scores) for Covariances/Correlations/Residual Corr ITEM6 ________ ITEM6 -0.438 Normalized Residuals for Covariances/Correlations/Residual Correlations ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ ITEM1 -1.552 ITEM2 0.000 -0.979 ITEM3 0.011 0.235 0.209 ITEM4 0.226 0.441 1.146 0.845 ITEM5 -1.493 0.163 0.166 0.605 -0.572 ITEM6 -0.566 -0.547 0.104 0.907 -0.745 Normalized Residuals for Covariances/Correlations/Residual Correlations ITEM6 ________ ITEM6 -0.261 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-parallel\ Beginning Time: 21:03:44 Ending Time: 21:03:44 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