Mplus VERSION 7.11 MUTHEN & MUTHEN 01/19/2014 5:24 PM 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 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; !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 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 ! Auflistung des Anteils von nicht-fehlenden Werten: Keine fehlenden Wert, da Covariance Coverage = 1 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 !Geschätzte Mittelwerte 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 ! Empirische Kovarianzen (Kreuzproduktsumme geteilt durch n; nicht durch n-1) 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 ! Modell-Güte-Koeffizienten MODEL FIT INFORMATION Number of Free Parameters 13 Loglikelihood H0 Value -435.870 H1 Value -427.396 Information Criteria Akaike (AIC) 897.740 Bayesian (BIC) 942.880 Sample-Size Adjusted BIC 901.674 (n* = (n + 2) / 24) ! Chi-Quadrat-Test: Modell muss nicht verworfen werden Chi-Square Test of Model Fit Value 16.949 Degrees of Freedom 14 P-Value 0.2589 RMSEA (Root Mean Square Error Of Approximation) Estimate 0.030 90 Percent C.I. 0.000 0.073 Probability RMSEA <= .05 0.737 CFI/TLI CFI 0.993 TLI 0.992 ! Baseline-Modell: Unabhängigkeits-Modell - Unkorreliertheit aller beobachtbarer Variablen, ! muss verworfen werden 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 0.068 !Unstandardisierte Lösungen, Standardfehler und Signifikanztests MODEL RESULTS Two-Tailed Estimate S.E. Est./S.E. P-Value !Ladungen auf 1 fixiert, daher keine Standardfehler und Tests 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 ! Geschätzte Leichtigkeitsparameter Intercepts ITEM1 1.504 0.024 62.432 0.000 ITEM2 1.423 0.024 59.697 0.000 ITEM3 1.392 0.025 56.265 0.000 ITEM4 1.305 0.025 52.077 0.000 ITEM5 1.346 0.025 53.815 0.000 ITEM6 1.306 0.025 51.677 0.000 ! Geschätzte Varianz von eta Variances ETA 0.064 0.007 8.984 0.000 ! Geschätzte Fehlervarianzen Residual Variances ITEM1 0.074 0.008 9.238 0.000 ITEM2 0.071 0.008 9.178 0.000 ITEM3 0.081 0.009 9.402 0.000 ITEM4 0.085 0.009 9.453 0.000 ITEM5 0.085 0.009 9.449 0.000 ITEM6 0.088 0.009 9.510 0.000 STANDARDIZED MODEL RESULTS ! Standardisierte Lösungen STDYX Standardization Two-Tailed Estimate S.E. Est./S.E. P-Value ! Standardisierte Ladungen, enstprechen Korrelationen der beobachtbaren Variablen ! mit der latenten Variablen eta ETA BY ITEM1 0.682 0.028 24.086 0.000 ITEM2 0.689 0.029 24.061 0.000 ITEM3 0.664 0.029 22.639 0.000 ITEM4 0.656 0.030 22.044 0.000 ITEM5 0.657 0.029 22.803 0.000 ITEM6 0.650 0.029 22.498 0.000 ! Leichtigkeitsparameter geteilt durch die Standardabweichung der beobachtbaren Variablen, ! werden in Eid & Schmidt (2014) nicht behandelt Intercepts ITEM1 4.047 0.170 23.800 0.000 ITEM2 3.870 0.162 23.927 0.000 ITEM3 3.647 0.151 24.083 0.000 ITEM4 3.376 0.141 23.955 0.000 ITEM5 3.488 0.149 23.470 0.000 ITEM6 3.350 0.143 23.360 0.000 Variances ETA 1.000 0.000 999.000 999.000 ! Standardisierte Fehlervarianzen, entsprechen den geschätzten Unreliabilitätskoeffizienten Residual Variances ITEM1 0.535 0.039 13.851 0.000 ITEM2 0.525 0.039 13.292 0.000 ITEM3 0.559 0.039 14.356 0.000 ITEM4 0.570 0.039 14.609 0.000 ITEM5 0.569 0.038 15.038 0.000 ITEM6 0.577 0.038 15.358 0.000 ! Geschätzte Reliabilitäten R-SQUARE Observed Two-Tailed Variable Estimate S.E. Est./S.E. P-Value ITEM1 0.465 0.039 12.043 0.000 ITEM2 0.475 0.039 12.031 0.000 ITEM3 0.441 0.039 11.320 0.000 ITEM4 0.430 0.039 11.022 0.000 ITEM5 0.431 0.038 11.401 0.000 ITEM6 0.423 0.038 11.249 0.000 QUALITY OF NUMERICAL RESULTS Condition Number for the Information Matrix 0.251E-01 (ratio of smallest to largest eigenvalue) !Konfidenzintervalle, 95%-Konfidenzintervalle: Lower 2.5% und Upper 2.5% 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 1.442 1.457 1.464 1.504 1.544 1.551 1.566 ITEM2 1.362 1.376 1.384 1.423 1.462 1.470 1.484 ITEM3 1.328 1.344 1.351 1.392 1.433 1.441 1.456 ITEM4 1.240 1.256 1.263 1.305 1.346 1.354 1.369 ITEM5 1.282 1.297 1.305 1.346 1.388 1.395 1.411 ITEM6 1.241 1.256 1.264 1.306 1.347 1.355 1.371 Variances ETA 0.046 0.050 0.052 0.064 0.076 0.078 0.083 Residual Variances ITEM1 0.053 0.058 0.061 0.074 0.087 0.090 0.094 ITEM2 0.051 0.056 0.058 0.071 0.084 0.086 0.091 ITEM3 0.059 0.064 0.067 0.081 0.096 0.098 0.104 ITEM4 0.062 0.067 0.070 0.085 0.100 0.103 0.108 ITEM5 0.062 0.067 0.070 0.085 0.099 0.102 0.108 ITEM6 0.064 0.070 0.073 0.088 0.103 0.106 0.111 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 0.626 0.635 0.682 0.729 0.737 0.755 ITEM2 0.615 0.633 0.642 0.689 0.736 0.745 0.763 ITEM3 0.588 0.607 0.616 0.664 0.712 0.721 0.740 ITEM4 0.579 0.597 0.607 0.656 0.705 0.714 0.732 ITEM5 0.582 0.600 0.609 0.657 0.704 0.713 0.731 ITEM6 0.576 0.594 0.603 0.650 0.698 0.707 0.725 Intercepts ITEM1 3.609 3.714 3.767 4.047 4.327 4.380 4.485 ITEM2 3.453 3.553 3.604 3.870 4.136 4.187 4.286 ITEM3 3.257 3.350 3.398 3.647 3.896 3.944 4.037 ITEM4 3.013 3.099 3.144 3.376 3.607 3.652 3.739 ITEM5 3.105 3.197 3.244 3.488 3.733 3.780 3.871 ITEM6 2.980 3.069 3.114 3.350 3.586 3.631 3.719 Variances ETA 1.000 1.000 1.000 1.000 1.000 1.000 1.000 Residual Variances ITEM1 0.435 0.459 0.471 0.535 0.598 0.611 0.634 ITEM2 0.423 0.448 0.460 0.525 0.590 0.602 0.627 ITEM3 0.459 0.483 0.495 0.559 0.623 0.635 0.659 ITEM4 0.469 0.494 0.506 0.570 0.634 0.646 0.670 ITEM5 0.471 0.495 0.507 0.569 0.631 0.643 0.666 ITEM6 0.480 0.504 0.515 0.577 0.639 0.651 0.674 RESIDUAL OUTPUT ! Vom Modell implizierte Mittelwerte und Kovarianzen, ! standardisierte und normalisierte Residuen wurden in ! Eid und Schmidt (2014) nicht behandelt ESTIMATED MODEL AND RESIDUALS (OBSERVED - ESTIMATED) ! vom Modell implizierte Mittelwerte, entsprechen den Mittelwerten der beobachtbaren ! Variablen, da keine Restriktion auf den Leichtigkeitsparametern 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 ! Vom Modell implizierte Kovarianzen Model Estimated Covariances/Correlations/Residual Correlations ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ ITEM1 0.138 ITEM2 0.064 0.135 ITEM3 0.064 0.064 0.146 ITEM4 0.064 0.064 0.064 0.149 ITEM5 0.064 0.064 0.064 0.064 0.149 ITEM6 0.064 0.064 0.064 0.064 0.064 Model Estimated Covariances/Correlations/Residual Correlations ITEM6 ________ ITEM6 0.152 Residuals for Covariances/Correlations/Residual Correlations ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ ITEM1 -0.010 ITEM2 -0.001 0.000 ITEM3 -0.001 0.002 0.008 ITEM4 0.002 0.005 0.017 0.016 ITEM5 -0.020 0.001 0.001 0.008 -0.007 ITEM6 -0.008 -0.008 0.001 0.011 -0.010 Residuals for Covariances/Correlations/Residual Correlations ITEM6 ________ ITEM6 -0.006 Standardized Residuals (z-scores) for Covariances/Correlations/Residual Corr ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ ITEM1 -2.015 ITEM2 -0.126 0.033 ITEM3 -0.091 0.325 0.856 ITEM4 0.322 0.681 1.861 1.549 ITEM5 -3.379 0.177 0.191 0.934 -1.220 ITEM6 -1.189 -1.168 0.076 1.302 -1.404 Standardized Residuals (z-scores) for Covariances/Correlations/Residual Corr ITEM6 ________ ITEM6 -0.837 Normalized Residuals for Covariances/Correlations/Residual Correlations ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ ITEM1 -0.828 ITEM2 -0.083 0.018 ITEM3 -0.063 0.233 0.537 ITEM4 0.233 0.506 1.464 1.059 ITEM5 -2.127 0.123 0.139 0.708 -0.577 ITEM6 -0.794 -0.802 0.056 1.003 -0.979 Normalized Residuals for Covariances/Correlations/Residual Correlations ITEM6 ________ ITEM6 -0.420 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: 17:24:36 Ending Time: 17:24:36 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