Mplus VERSION 7.11 MUTHEN & MUTHEN 01/20/2014 5:55 PM INPUT INSTRUCTIONS TITLE: Kapitel 6, Abschnitt 6.5, Modell essentiell tau-paralleler Variablen für die sechs logarithmierten Reaktionszeitvariablen, 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 ML; 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; INPUT READING TERMINATED NORMALLY Kapitel 6, Abschnitt 6.5, Modell essentiell tau-paralleler Variablen für die sechs logarithmierten Reaktionszeitvariablen, 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 ML 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 H1 Value -427.396 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 19.886 Degrees of Freedom 19 P-Value 0.4015 RMSEA (Root Mean Square Error Of Approximation) Estimate 0.014 90 Percent C.I. 0.000 0.059 Probability RMSEA <= .05 0.884 CFI/TLI CFI 0.998 TLI 0.998 Chi-Square Test of Model Fit for the Baseline Model Value 435.847 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 0.025 60.923 0.000 ITEM2 1.423 0.025 57.637 0.000 ITEM3 1.392 0.025 56.392 0.000 ITEM4 1.305 0.025 52.849 0.000 ITEM5 1.346 0.025 54.537 0.000 ITEM6 1.306 0.025 52.890 0.000 Variances ETA 0.064 0.007 9.001 0.000 Residual Variances ITEM1 0.081 0.003 24.393 0.000 ITEM2 0.081 0.003 24.393 0.000 ITEM3 0.081 0.003 24.393 0.000 ITEM4 0.081 0.003 24.393 0.000 ITEM5 0.081 0.003 24.393 0.000 ITEM6 0.081 0.003 24.393 0.000 STANDARDIZED MODEL RESULTS STDYX Standardization Two-Tailed Estimate S.E. Est./S.E. P-Value ETA BY ITEM1 0.667 0.022 29.661 0.000 ITEM2 0.667 0.022 29.661 0.000 ITEM3 0.667 0.022 29.661 0.000 ITEM4 0.667 0.022 29.661 0.000 ITEM5 0.667 0.022 29.661 0.000 ITEM6 0.667 0.022 29.661 0.000 Intercepts ITEM1 3.949 0.123 32.187 0.000 ITEM2 3.736 0.118 31.673 0.000 ITEM3 3.655 0.116 31.462 0.000 ITEM4 3.426 0.111 30.805 0.000 ITEM5 3.535 0.114 31.128 0.000 ITEM6 3.428 0.111 30.813 0.000 Variances ETA 1.000 0.000 999.000 999.000 Residual Variances ITEM1 0.556 0.030 18.546 0.000 ITEM2 0.556 0.030 18.546 0.000 ITEM3 0.556 0.030 18.546 0.000 ITEM4 0.556 0.030 18.546 0.000 ITEM5 0.556 0.030 18.546 0.000 ITEM6 0.556 0.030 18.546 0.000 R-SQUARE Observed Two-Tailed Variable Estimate S.E. Est./S.E. P-Value ITEM1 0.444 0.030 14.831 0.000 ITEM2 0.444 0.030 14.831 0.000 ITEM3 0.444 0.030 14.831 0.000 ITEM4 0.444 0.030 14.831 0.000 ITEM5 0.444 0.030 14.831 0.000 ITEM6 0.444 0.030 14.831 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 1.440 1.456 1.463 1.504 1.545 1.552 1.568 ITEM2 1.359 1.375 1.382 1.423 1.464 1.471 1.486 ITEM3 1.329 1.344 1.352 1.392 1.433 1.441 1.456 ITEM4 1.241 1.256 1.264 1.305 1.345 1.353 1.368 ITEM5 1.283 1.298 1.306 1.346 1.387 1.395 1.410 ITEM6 1.242 1.257 1.265 1.306 1.346 1.354 1.369 Variances ETA 0.046 0.050 0.053 0.064 0.076 0.078 0.083 Residual Variances ITEM1 0.072 0.074 0.075 0.081 0.086 0.087 0.089 ITEM2 0.072 0.074 0.075 0.081 0.086 0.087 0.089 ITEM3 0.072 0.074 0.075 0.081 0.086 0.087 0.089 ITEM4 0.072 0.074 0.075 0.081 0.086 0.087 0.089 ITEM5 0.072 0.074 0.075 0.081 0.086 0.087 0.089 ITEM6 0.072 0.074 0.075 0.081 0.086 0.087 0.089 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 0.609 0.623 0.630 0.667 0.704 0.711 0.724 ITEM2 0.609 0.623 0.630 0.667 0.704 0.711 0.724 ITEM3 0.609 0.623 0.630 0.667 0.704 0.711 0.724 ITEM4 0.609 0.623 0.630 0.667 0.704 0.711 0.724 ITEM5 0.609 0.623 0.630 0.667 0.704 0.711 0.724 ITEM6 0.609 0.623 0.630 0.667 0.704 0.711 0.724 Intercepts ITEM1 3.633 3.709 3.747 3.949 4.151 4.189 4.265 ITEM2 3.432 3.505 3.542 3.736 3.930 3.967 4.040 ITEM3 3.356 3.428 3.464 3.655 3.846 3.883 3.955 ITEM4 3.139 3.208 3.243 3.426 3.609 3.644 3.712 ITEM5 3.243 3.313 3.348 3.535 3.722 3.758 3.828 ITEM6 3.142 3.210 3.245 3.428 3.611 3.646 3.715 Variances ETA 1.000 1.000 1.000 1.000 1.000 1.000 1.000 Residual Variances ITEM1 0.478 0.497 0.506 0.556 0.605 0.614 0.633 ITEM2 0.478 0.497 0.506 0.556 0.605 0.614 0.633 ITEM3 0.478 0.497 0.506 0.556 0.605 0.614 0.633 ITEM4 0.478 0.497 0.506 0.556 0.605 0.614 0.633 ITEM5 0.478 0.497 0.506 0.556 0.605 0.614 0.633 ITEM6 0.478 0.497 0.506 0.556 0.605 0.614 0.633 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 -1.864 ITEM2 -0.161 -0.983 ITEM3 -0.122 0.296 0.696 ITEM4 0.294 0.655 1.839 1.557 ITEM5 -3.423 0.146 0.163 0.909 -0.341 ITEM6 -1.224 -1.202 0.049 1.279 -1.437 Standardized Residuals (z-scores) for Covariances/Correlations/Residual Corr ITEM6 ________ ITEM6 0.114 Normalized Residuals for Covariances/Correlations/Residual Correlations ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ ITEM1 -1.416 ITEM2 -0.105 -0.774 ITEM3 -0.085 0.213 0.584 ITEM4 0.213 0.487 1.446 1.344 ITEM5 -2.150 0.101 0.119 0.688 -0.275 ITEM6 -0.817 -0.823 0.036 0.984 -1.000 Normalized Residuals for Covariances/Correlations/Residual Correlations ITEM6 ________ ITEM6 0.094 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: 17:55:25 Ending Time: 17:55:25 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