Mplus VERSION 7.11 MUTHEN & MUTHEN 01/19/2014 6:25 PM INPUT INSTRUCTIONS TITLE: Kapitel 6, Abschnitt 6.5, Modell essentiell tau-äquivalenter Variablen für die sechs logarithmierten Reaktionszeitvariablen, robuste Maximum-Likelihood-Schätzung - Bestimmung von Cronbachs alpha und des Standardfehlers von alpha !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 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; ! im folgenden werden die parameter mit p1 bis p7 ! benannt, um sie in unter "model constraint" ! ansprechen zu können eta (p1); item1-item6 (p2 - p7); Model constraint: ! Dieser Befehl dient der Definition neuer Variablen new(rel1,rel2,rel3,rel4,rel5,rel6,alpha); ! Definition der Einzelreliabilitäten rel1=p1/(p1+p2); rel2=p1/(p1+p3); rel3=p1/(p1+p4); rel4=p1/(p1+p5); rel5=p1/(p1+p6); rel6=p1/(p1+p7); ! Bestimmung von Cronbachs Alpha auf Grundlage der Einzelreliabilitäten ! nach Gleichung 6.49 in Eid & Schmidt (2014) alpha=36/(30 + ((1/rel1)+(1/rel2)+(1/rel3)+(1/rel4)+(1/rel5)+(1/rel6))); OUTPUT: ; INPUT READING TERMINATED NORMALLY Kapitel 6, Abschnitt 6.5, Modell essentiell tau-äquivalenter Variablen für die sechs logarithmierten Reaktionszeitvariablen, robuste Maximum-Likelihood-Schätzung - Bestimmung von Cronbachs alpha und des Standardfehlers von alpha 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 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 New/Additional Parameters REL1 0.465 0.049 9.433 0.000 REL2 0.475 0.051 9.265 0.000 REL3 0.441 0.052 8.498 0.000 REL4 0.430 0.053 8.116 0.000 REL5 0.431 0.050 8.549 0.000 REL6 0.423 0.050 8.513 0.000 ! Cronbachs alpha und Standardfehler ALPHA 0.827 0.026 31.778 0.000 QUALITY OF NUMERICAL RESULTS Condition Number for the Information Matrix 0.492E-04 (ratio of smallest to largest eigenvalue) 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: 18:25:43 Ending Time: 18:25:43 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