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, 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); ! 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, 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 3 Loglikelihood H0 Value -479.627 H1 Value -427.396 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 104.462 Degrees of Freedom 24 P-Value 0.0000 RMSEA (Root Mean Square Error Of Approximation) Estimate 0.119 90 Percent C.I. 0.096 0.142 Probability RMSEA <= .05 0.000 CFI/TLI CFI 0.809 TLI 0.881 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 0.165 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 0.007 8.858 0.000 Residual Variances ITEM1 0.087 0.004 24.393 0.000 ITEM2 0.087 0.004 24.393 0.000 ITEM3 0.087 0.004 24.393 0.000 ITEM4 0.087 0.004 24.393 0.000 ITEM5 0.087 0.004 24.393 0.000 ITEM6 0.087 0.004 24.393 0.000 STANDARDIZED MODEL RESULTS STDYX Standardization Two-Tailed Estimate S.E. Est./S.E. P-Value ETA BY ITEM1 0.650 0.023 28.130 0.000 ITEM2 0.650 0.023 28.130 0.000 ITEM3 0.650 0.023 28.130 0.000 ITEM4 0.650 0.023 28.130 0.000 ITEM5 0.650 0.023 28.130 0.000 ITEM6 0.650 0.023 28.130 0.000 Intercepts ITEM1 3.561 0.103 34.596 0.000 ITEM2 3.561 0.103 34.596 0.000 ITEM3 3.561 0.103 34.596 0.000 ITEM4 3.561 0.103 34.596 0.000 ITEM5 3.561 0.103 34.596 0.000 ITEM6 3.561 0.103 34.596 0.000 Variances ETA 1.000 0.000 999.000 999.000 Residual Variances ITEM1 0.577 0.030 19.179 0.000 ITEM2 0.577 0.030 19.179 0.000 ITEM3 0.577 0.030 19.179 0.000 ITEM4 0.577 0.030 19.179 0.000 ITEM5 0.577 0.030 19.179 0.000 ITEM6 0.577 0.030 19.179 0.000 R-SQUARE Observed Two-Tailed Variable Estimate S.E. Est./S.E. P-Value ITEM1 0.423 0.030 14.065 0.000 ITEM2 0.423 0.030 14.065 0.000 ITEM3 0.423 0.030 14.065 0.000 ITEM4 0.423 0.030 14.065 0.000 ITEM5 0.423 0.030 14.065 0.000 ITEM6 0.423 0.030 14.065 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 0.045 0.049 0.052 0.063 0.075 0.078 0.082 Residual Variances ITEM1 0.077 0.080 0.081 0.087 0.092 0.093 0.096 ITEM2 0.077 0.080 0.081 0.087 0.092 0.093 0.096 ITEM3 0.077 0.080 0.081 0.087 0.092 0.093 0.096 ITEM4 0.077 0.080 0.081 0.087 0.092 0.093 0.096 ITEM5 0.077 0.080 0.081 0.087 0.092 0.093 0.096 ITEM6 0.077 0.080 0.081 0.087 0.092 0.093 0.096 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 0.591 0.605 0.612 0.650 0.688 0.696 0.710 ITEM2 0.591 0.605 0.612 0.650 0.688 0.696 0.710 ITEM3 0.591 0.605 0.612 0.650 0.688 0.696 0.710 ITEM4 0.591 0.605 0.612 0.650 0.688 0.696 0.710 ITEM5 0.591 0.605 0.612 0.650 0.688 0.696 0.710 ITEM6 0.591 0.605 0.612 0.650 0.688 0.696 0.710 Intercepts ITEM1 3.296 3.360 3.392 3.561 3.731 3.763 3.827 ITEM2 3.296 3.360 3.392 3.561 3.731 3.763 3.827 ITEM3 3.296 3.360 3.392 3.561 3.731 3.763 3.827 ITEM4 3.296 3.360 3.392 3.561 3.731 3.763 3.827 ITEM5 3.296 3.360 3.392 3.561 3.731 3.763 3.827 ITEM6 3.296 3.360 3.392 3.561 3.731 3.763 3.827 Variances ETA 1.000 1.000 1.000 1.000 1.000 1.000 1.000 Residual Variances ITEM1 0.499 0.518 0.527 0.577 0.626 0.636 0.654 ITEM2 0.499 0.518 0.527 0.577 0.626 0.636 0.654 ITEM3 0.499 0.518 0.527 0.577 0.626 0.636 0.654 ITEM4 0.499 0.518 0.527 0.577 0.626 0.636 0.654 ITEM5 0.499 0.518 0.527 0.577 0.626 0.636 0.654 ITEM6 0.499 0.518 0.527 0.577 0.626 0.636 0.654 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 -2.435 ITEM2 0.000 -1.498 ITEM3 0.021 0.430 0.277 ITEM4 0.426 0.779 1.949 1.183 ITEM5 -3.255 0.291 0.293 1.029 -0.818 ITEM6 -1.071 -1.056 0.176 1.394 -1.295 Standardized Residuals (z-scores) for Covariances/Correlations/Residual Corr ITEM6 ________ ITEM6 -0.336 Normalized Residuals for Covariances/Correlations/Residual Correlations ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ ITEM1 -1.837 ITEM2 0.000 -1.172 ITEM3 0.014 0.309 0.232 ITEM4 0.308 0.579 1.531 1.018 ITEM5 -2.043 0.201 0.213 0.778 -0.657 ITEM6 -0.714 -0.723 0.129 1.072 -0.901 Normalized Residuals for Covariances/Correlations/Residual Correlations ITEM6 ________ ITEM6 -0.275 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: 21:03:08 Ending Time: 21:03:08 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