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"kapitel-6-essentielle-tau-äquivalenz-ml.out Mplus VERSION 7.11 MUTHEN & MUTHEN 01/19/2014 5:29 PM INPUT INSTRUCTIONS TITLE: Kapitel 6, Abschnitt 6.5, Modell essentiell tau-äquivalenter 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: !Robustre Maximum-Likelihood-Schätzung (MLR) 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; !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, 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 13 Loglikelihood H0 Value -435.870 H0 Scaling Correction Factor 1.1275 for MLR H1 Value -427.396 H1 Scaling Correction Factor 1.0867 for MLR Information Criteria Akaike (AIC) 897.740 Bayesian (BIC) 942.880 Sample-Size Adjusted BIC 901.674 (n* = (n + 2) / 24) Chi-Square Test of Model Fit Value 16.161* Degrees of Freedom 14 P-Value 0.3037 Scaling Correction Factor 1.0488 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 0.025 90 Percent C.I. 0.000 0.070 Probability RMSEA <= .05 0.774 CFI/TLI CFI 0.995 TLI 0.994 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 0.068 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 0.023 64.757 0.000 ITEM2 1.423 0.024 59.647 0.000 ITEM3 1.392 0.025 54.862 0.000 ITEM4 1.305 0.026 49.486 0.000 ITEM5 1.346 0.024 55.221 0.000 ITEM6 1.306 0.025 52.662 0.000 Variances ETA 0.064 0.011 5.822 0.000 Residual Variances ITEM1 0.074 0.008 9.383 0.000 ITEM2 0.071 0.008 9.197 0.000 ITEM3 0.081 0.009 9.544 0.000 ITEM4 0.085 0.010 8.584 0.000 ITEM5 0.085 0.010 8.908 0.000 ITEM6 0.088 0.009 9.564 0.000 STANDARDIZED MODEL RESULTS STDYX Standardization Two-Tailed Estimate S.E. Est./S.E. P-Value ETA BY ITEM1 0.682 0.036 18.865 0.000 ITEM2 0.689 0.037 18.530 0.000 ITEM3 0.664 0.039 16.997 0.000 ITEM4 0.656 0.040 16.232 0.000 ITEM5 0.657 0.038 17.098 0.000 ITEM6 0.650 0.038 17.026 0.000 Intercepts ITEM1 4.047 0.224 18.059 0.000 ITEM2 3.870 0.210 18.424 0.000 ITEM3 3.647 0.182 20.018 0.000 ITEM4 3.376 0.170 19.802 0.000 ITEM5 3.488 0.187 18.656 0.000 ITEM6 3.350 0.174 19.241 0.000 Variances ETA 1.000 0.000 999.000 999.000 Residual Variances ITEM1 0.535 0.049 10.849 0.000 ITEM2 0.525 0.051 10.236 0.000 ITEM3 0.559 0.052 10.778 0.000 ITEM4 0.570 0.053 10.757 0.000 ITEM5 0.569 0.050 11.276 0.000 ITEM6 0.577 0.050 11.622 0.000 R-SQUARE Observed Two-Tailed Variable Estimate S.E. Est./S.E. P-Value ITEM1 0.465 0.049 9.433 0.000 ITEM2 0.475 0.051 9.265 0.000 ITEM3 0.441 0.052 8.498 0.000 ITEM4 0.430 0.053 8.116 0.000 ITEM5 0.431 0.050 8.549 0.000 ITEM6 0.423 0.050 8.513 0.000 QUALITY OF NUMERICAL RESULTS Condition Number for the Information Matrix 0.251E-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 1.444 1.458 1.466 1.504 1.542 1.550 1.564 ITEM2 1.361 1.376 1.384 1.423 1.462 1.470 1.484 ITEM3 1.327 1.342 1.350 1.392 1.434 1.442 1.458 ITEM4 1.237 1.253 1.261 1.305 1.348 1.356 1.373 ITEM5 1.284 1.299 1.306 1.346 1.386 1.394 1.409 ITEM6 1.242 1.257 1.265 1.306 1.346 1.354 1.370 Variances ETA 0.036 0.043 0.046 0.064 0.082 0.086 0.093 Residual Variances ITEM1 0.054 0.058 0.061 0.074 0.087 0.089 0.094 ITEM2 0.051 0.056 0.058 0.071 0.084 0.086 0.091 ITEM3 0.059 0.065 0.067 0.081 0.096 0.098 0.103 ITEM4 0.060 0.066 0.069 0.085 0.101 0.105 0.111 ITEM5 0.060 0.066 0.069 0.085 0.100 0.103 0.109 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 0.589 0.611 0.623 0.682 0.741 0.753 0.775 ITEM2 0.593 0.616 0.628 0.689 0.750 0.762 0.785 ITEM3 0.563 0.587 0.600 0.664 0.728 0.741 0.765 ITEM4 0.552 0.577 0.589 0.656 0.722 0.735 0.760 ITEM5 0.558 0.581 0.593 0.657 0.720 0.732 0.756 ITEM6 0.552 0.575 0.587 0.650 0.713 0.725 0.749 Intercepts ITEM1 3.470 3.608 3.678 4.047 4.415 4.486 4.624 ITEM2 3.329 3.458 3.524 3.870 4.215 4.281 4.411 ITEM3 3.178 3.290 3.347 3.647 3.947 4.004 4.116 ITEM4 2.937 3.042 3.095 3.376 3.656 3.710 3.815 ITEM5 3.007 3.122 3.181 3.488 3.796 3.855 3.970 ITEM6 2.901 3.009 3.063 3.350 3.636 3.691 3.798 Variances ETA 1.000 1.000 1.000 1.000 1.000 1.000 1.000 Residual Variances ITEM1 0.408 0.438 0.454 0.535 0.616 0.632 0.662 ITEM2 0.393 0.424 0.441 0.525 0.609 0.625 0.657 ITEM3 0.425 0.457 0.474 0.559 0.644 0.661 0.693 ITEM4 0.433 0.466 0.483 0.570 0.657 0.674 0.706 ITEM5 0.439 0.470 0.486 0.569 0.652 0.668 0.699 ITEM6 0.449 0.480 0.496 0.577 0.659 0.675 0.705 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 0.138 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 -5.987 ITEM2 -0.119 0.034 ITEM3 -0.085 0.308 0.918 ITEM4 0.273 0.623 1.562 1.390 ITEM5 -3.229 0.228 0.189 0.883 -2.352 ITEM6 -1.516 -1.150 0.082 1.530 -2.003 Standardized Residuals (z-scores) for Covariances/Correlations/Residual Corr ITEM6 ________ ITEM6 999.000 Normalized Residuals for Covariances/Correlations/Residual Correlations ITEM1 ITEM2 ITEM3 ITEM4 ITEM5 ________ ________ ________ ________ ________ ITEM1 -0.699 ITEM2 -0.061 0.015 ITEM3 -0.048 0.178 0.485 ITEM4 0.171 0.386 1.096 0.879 ITEM5 -1.555 0.099 0.108 0.550 -0.503 ITEM6 -0.630 -0.607 0.045 0.848 -0.809 Normalized Residuals for Covariances/Correlations/Residual Correlations ITEM6 ________ ITEM6 -0.399 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: 17:29:26 Ending Time: 17:29:26 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