Mplus VERSION 7.11 MUTHEN & MUTHEN 01/20/2014 10:20 AM INPUT INSTRUCTIONS TITLE: Kapitel 6, Abschnitt 6.5, Modell essentiell tau-äquivalenter 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 zweidimensionalen Modells, erste Ladung durch Voreinstellung jeweils auf 1 !weitere Ladungen auf 1 fixiert mit @1 eta1 by item1 item2@1 item3@1; eta2 by item4 item5@1 item6@1; !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-äquivalenter 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 2 Observed dependent variables Continuous ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ITEM6 Continuous latent variables ETA1 ETA2 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 15 Loglikelihood H0 Value -435.385 H1 Value -427.396 Information Criteria Akaike (AIC) 900.771 Bayesian (BIC) 952.855 Sample-Size Adjusted BIC 905.310 (n* = (n + 2) / 24) Chi-Square Test of Model Fit Value 15.980 Degrees of Freedom 12 P-Value 0.1922 RMSEA (Root Mean Square Error Of Approximation) Estimate 0.037 90 Percent C.I. 0.000 0.081 Probability RMSEA <= .05 0.633 CFI/TLI CFI 0.991 TLI 0.988 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 0.067 MODEL RESULTS Two-Tailed Estimate S.E. Est./S.E. P-Value ETA1 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 ETA2 BY 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 ETA2 WITH ETA1 0.063 0.007 8.706 0.000 Intercepts ITEM1 1.504 0.024 62.755 0.000 ITEM2 1.423 0.024 59.912 0.000 ITEM3 1.392 0.025 56.340 0.000 ITEM4 1.305 0.025 51.953 0.000 ITEM5 1.346 0.025 53.572 0.000 ITEM6 1.306 0.025 51.487 0.000 Variances ETA1 0.064 0.008 7.736 0.000 ETA2 0.067 0.009 7.513 0.000 Residual Variances ITEM1 0.072 0.008 8.842 0.000 ITEM2 0.070 0.008 8.820 0.000 ITEM3 0.081 0.009 9.193 0.000 ITEM4 0.083 0.009 8.888 0.000 ITEM5 0.083 0.009 9.090 0.000 ITEM6 0.086 0.009 9.118 0.000 STANDARDIZED MODEL RESULTS STDYX Standardization Two-Tailed Estimate S.E. Est./S.E. P-Value ETA1 BY ITEM1 0.686 0.032 21.131 0.000 ITEM2 0.693 0.033 21.067 0.000 ITEM3 0.666 0.033 20.106 0.000 ETA2 BY ITEM4 0.670 0.035 19.026 0.000 ITEM5 0.670 0.033 20.303 0.000 ITEM6 0.664 0.033 19.890 0.000 ! latente Korrelation ETA2 WITH ETA1 0.960 0.044 22.023 0.000 Intercepts ITEM1 4.068 0.178 22.833 0.000 ITEM2 3.883 0.168 23.083 0.000 ITEM3 3.652 0.157 23.283 0.000 ITEM4 3.368 0.145 23.249 0.000 ITEM5 3.473 0.156 22.192 0.000 ITEM6 3.337 0.150 22.246 0.000 Variances ETA1 1.000 0.000 999.000 999.000 ETA2 1.000 0.000 999.000 999.000 Residual Variances ITEM1 0.529 0.045 11.859 0.000 ITEM2 0.520 0.046 11.421 0.000 ITEM3 0.557 0.044 12.628 0.000 ITEM4 0.551 0.047 11.666 0.000 ITEM5 0.551 0.044 12.482 0.000 ITEM6 0.560 0.044 12.633 0.000 R-SQUARE Observed Two-Tailed Variable Estimate S.E. Est./S.E. P-Value ITEM1 0.471 0.045 10.566 0.000 ITEM2 0.480 0.046 10.533 0.000 ITEM3 0.443 0.044 10.053 0.000 ITEM4 0.449 0.047 9.513 0.000 ITEM5 0.449 0.044 10.152 0.000 ITEM6 0.440 0.044 9.945 0.000 QUALITY OF NUMERICAL RESULTS Condition Number for the Information Matrix 0.234E-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% ETA1 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 ETA2 BY 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 ETA2 WITH ETA1 0.045 0.049 0.051 0.063 0.075 0.077 0.082 Intercepts ITEM1 1.442 1.457 1.465 1.504 1.543 1.551 1.566 ITEM2 1.362 1.376 1.384 1.423 1.462 1.469 1.484 ITEM3 1.329 1.344 1.352 1.392 1.433 1.441 1.456 ITEM4 1.240 1.255 1.263 1.305 1.346 1.354 1.369 ITEM5 1.282 1.297 1.305 1.346 1.388 1.396 1.411 ITEM6 1.240 1.256 1.264 1.306 1.347 1.355 1.371 Variances ETA1 0.043 0.048 0.051 0.064 0.078 0.081 0.086 ETA2 0.044 0.050 0.053 0.067 0.082 0.085 0.091 Residual Variances ITEM1 0.051 0.056 0.059 0.072 0.086 0.088 0.093 ITEM2 0.049 0.054 0.057 0.070 0.083 0.085 0.090 ITEM3 0.058 0.064 0.066 0.081 0.095 0.098 0.104 ITEM4 0.059 0.064 0.067 0.083 0.098 0.101 0.107 ITEM5 0.059 0.065 0.068 0.083 0.098 0.101 0.106 ITEM6 0.061 0.067 0.070 0.086 0.101 0.104 0.110 CONFIDENCE INTERVALS OF STANDARDIZED MODEL RESULTS STDYX Standardization Lower .5% Lower 2.5% Lower 5% Estimate Upper 5% Upper 2.5% Upper .5% ETA1 BY ITEM1 0.603 0.623 0.633 0.686 0.740 0.750 0.770 ITEM2 0.608 0.628 0.639 0.693 0.747 0.757 0.777 ITEM3 0.580 0.601 0.611 0.666 0.720 0.731 0.751 ETA2 BY ITEM4 0.579 0.601 0.612 0.670 0.728 0.739 0.761 ITEM5 0.585 0.605 0.615 0.670 0.724 0.734 0.755 ITEM6 0.578 0.598 0.609 0.664 0.719 0.729 0.750 ETA2 WITH ETA1 0.848 0.874 0.888 0.960 1.032 1.045 1.072 Intercepts ITEM1 3.609 3.719 3.775 4.068 4.361 4.417 4.527 ITEM2 3.450 3.554 3.607 3.883 4.160 4.213 4.317 ITEM3 3.248 3.345 3.394 3.652 3.910 3.959 4.056 ITEM4 2.995 3.084 3.129 3.368 3.606 3.652 3.741 ITEM5 3.070 3.166 3.215 3.473 3.730 3.779 3.876 ITEM6 2.951 3.043 3.091 3.337 3.584 3.631 3.724 Variances ETA1 1.000 1.000 1.000 1.000 1.000 1.000 1.000 ETA2 1.000 1.000 1.000 1.000 1.000 1.000 1.000 Residual Variances ITEM1 0.414 0.441 0.455 0.529 0.602 0.616 0.644 ITEM2 0.403 0.431 0.445 0.520 0.595 0.609 0.638 ITEM3 0.443 0.470 0.484 0.557 0.629 0.643 0.670 ITEM4 0.429 0.458 0.473 0.551 0.628 0.643 0.672 ITEM5 0.438 0.465 0.479 0.551 0.624 0.638 0.665 ITEM6 0.445 0.473 0.487 0.560 0.632 0.646 0.674 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 0.137 ITEM2 0.064 0.134 ITEM3 0.064 0.064 0.145 ITEM4 0.063 0.063 0.063 0.150 ITEM5 0.063 0.063 0.063 0.067 0.150 ITEM6 0.063 0.063 0.063 0.067 0.067 Model Estimated Covariances/Correlations/Residual Correlations ITEM6 ________ ITEM6 0.153 Residuals for Covariances/Correlations/Residual Correlations ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ ITEM1 -0.008 ITEM2 -0.001 0.001 ITEM3 -0.001 0.002 0.008 ITEM4 0.003 0.006 0.018 0.015 ITEM5 -0.019 0.002 0.002 0.005 -0.009 ITEM6 -0.007 -0.007 0.002 0.008 -0.013 Residuals for Covariances/Correlations/Residual Correlations ITEM6 ________ ITEM6 -0.007 Standardized Residuals (z-scores) for Covariances/Correlations/Residual Corr ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ ITEM1 -2.216 ITEM2 -0.210 0.191 ITEM3 -0.146 0.369 0.961 ITEM4 0.459 0.815 1.989 1.560 ITEM5 -3.292 0.326 0.324 0.727 -2.199 ITEM6 -1.058 -1.042 0.205 1.200 -2.976 Standardized Residuals (z-scores) for Covariances/Correlations/Residual Corr ITEM6 ________ ITEM6 -1.327 Normalized Residuals for Covariances/Correlations/Residual Correlations ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ ITEM1 -0.707 ITEM2 -0.101 0.096 ITEM3 -0.080 0.217 0.565 ITEM4 0.328 0.598 1.549 1.011 ITEM5 -2.021 0.222 0.233 0.417 -0.682 ITEM6 -0.692 -0.702 0.149 0.719 -1.298 Normalized Residuals for Covariances/Correlations/Residual Correlations ITEM6 ________ ITEM6 -0.503 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: 10:20:01 Ending Time: 10:20:01 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