Mplus VERSION 7.11 MUTHEN & MUTHEN 01/19/2014 8:00 PM INPUT INSTRUCTIONS TITLE: Kapitel 6, Abschnitt 6.5, Modell essentiell tau-äquivalenter Variablen für die sechs logarithmierten Reaktionszeitvariablen, Maximum-Likelihood-Schätzung - Bestimmung der Konfidenzintervalle der Reliabilitäten der Items - Anwendung der Formeln 6.44 und 6.45 in Eid & Schmidt (2014) !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; Model constraint: ! Dieser Befehl dient der Definition neuer Variablen, die ! in die folgende Berechnung eingehen, "model constraint" wird hier ! nur als Taschenrechner benutzt new(rel1,se1,l1,sel1,ci_l_lo1,ci_l_up1,ci_r_lo1,ci_r_up1, rel2,se2,l2,sel2,ci_l_lo2,ci_l_up2,ci_r_lo2,ci_r_up2, rel3,se3,l3,sel3,ci_l_lo3,ci_l_up3,ci_r_lo3,ci_r_up3, rel4,se4,l4,sel4,ci_l_lo4,ci_l_up4,ci_r_lo4,ci_r_up4, rel5,se5,l5,sel5,ci_l_lo5,ci_l_up5,ci_r_lo5,ci_r_up5, rel6,se6,l6,sel6,ci_l_lo6,ci_l_up6,ci_r_lo6,ci_r_up6); ! Bestimmung der Reliabilitäten ! Bestimmung der Grenzen des Konfidenzintervals der Reliabilitäten der Items ! Berechnung nach den Gleichungen 6.44 und 6.45 in Eid & Schmidt(2014) ! Die Konfidenzintervallgrenzen könnten einfach auch per Taschenrechner ! berechnet werden, hier wird MPLUS nur als Taschenrechner benutzt ! Die Reliabilitäten und ihre Standardfehler müssen aus folgender Datei entnommen werden: ! kapitel-6-essentiell-tau-äquivalenz-ml.out Model constraint: rel1=0.465; se1=0.039; l1=log(rel1/(1-rel1)); sel1=se1/(rel1*(1-rel1)); ci_l_lo1=l1-1.96*sel1; ci_l_up1=l1+1.96*sel1; !Grenzen der Konfidenzintervalle ci_r_lo1=1/(1+exp(-ci_l_lo1)); ci_r_up1=1/(1+exp(-ci_l_up1)); rel2=0.475; se2=0.039; l2=log(rel2/(1-rel2)); sel2=se2/(rel2*(1-rel2)); ci_l_lo2=l2-1.96*sel2; ci_l_up2=l2+1.96*sel2; ci_r_lo2=1/(1+exp(-ci_l_lo2)); ci_r_up2=1/(1+exp(-ci_l_up2)); rel3=0.441; se3=0.039; l3=log(rel3/(1-rel3)); sel3=se3/(rel3*(1-rel3)); ci_l_lo3=l3-1.96*sel3; ci_l_up3=l3+1.96*sel3; ci_r_lo3=1/(1+exp(-ci_l_lo3)); ci_r_up3=1/(1+exp(-ci_l_up3)); rel4=0.430; se4=0.039; l4=log(rel4/(1-rel4)); sel4=se4/(rel4*(1-rel4)); ci_l_lo4=l4-1.96*sel4; ci_l_up4=l4+1.96*sel4; ci_r_lo4=1/(1+exp(-ci_l_lo4)); ci_r_up4=1/(1+exp(-ci_l_up4)); rel5=0.431; se5=0.038; l5=log(rel5/(1-rel5)); sel5=se5/(rel5*(1-rel5)); ci_l_lo5=l5-1.96*sel5; ci_l_up5=l5+1.96*sel5; ci_r_lo5=1/(1+exp(-ci_l_lo5)); ci_r_up5=1/(1+exp(-ci_l_up5)); rel6=0.423; se6=0.038; l6=log(rel6/(1-rel6)); sel6=se6/(rel6*(1-rel6)); ci_l_lo6=l6-1.96*sel6; ci_l_up6=l6+1.96*sel6; ci_r_lo6=1/(1+exp(-ci_l_lo6)); ci_r_up6=1/(1+exp(-ci_l_up6)); OUTPUT: ; INPUT READING TERMINATED NORMALLY Kapitel 6, Abschnitt 6.5, Modell essentiell tau-äquivalenter Variablen für die sechs logarithmierten Reaktionszeitvariablen, Maximum-Likelihood-Schätzung - Bestimmung der Konfidenzintervalle der Reliabilitäten der Items - Anwendung der Formeln 6.44 und 6.45 in Eid & Schmidt (2014) 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 THE MODEL ESTIMATION TERMINATED NORMALLY 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-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 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 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 0.024 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 Variances ETA 0.064 0.007 8.984 0.000 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 New/Additional Parameters REL1 0.465 0.000 0.000 1.000 SE1 0.039 0.000 0.000 1.000 L1 -0.140 0.000 0.000 1.000 SEL1 0.157 0.000 0.000 1.000 CI_L_LO1 -0.447 0.000 0.000 1.000 CI_L_UP1 0.167 0.000 0.000 1.000 ! Grenzen des Konfidenzintervalls des ersten Items (für die anderen Items entsprechend unten) CI_R_LO1 0.390 0.000 0.000 1.000 CI_R_UP1 0.542 0.000 0.000 1.000 REL2 0.475 0.000 0.000 1.000 SE2 0.039 0.000 0.000 1.000 L2 -0.100 0.000 0.000 1.000 SEL2 0.156 0.000 0.000 1.000 CI_L_LO2 -0.407 0.000 0.000 1.000 CI_L_UP2 0.206 0.000 0.000 1.000 CI_R_LO2 0.400 0.000 0.000 1.000 CI_R_UP2 0.551 0.000 0.000 1.000 REL3 0.441 0.000 0.000 1.000 SE3 0.039 0.000 0.000 1.000 L3 -0.237 0.000 0.000 1.000 SEL3 0.158 0.000 0.000 1.000 CI_L_LO3 -0.547 0.000 0.000 1.000 CI_L_UP3 0.073 0.000 0.000 1.000 CI_R_LO3 0.367 0.000 0.000 1.000 CI_R_UP3 0.518 0.000 0.000 1.000 REL4 0.430 0.000 0.000 1.000 SE4 0.039 0.000 0.000 1.000 L4 -0.282 0.000 0.000 1.000 SEL4 0.159 0.000 0.000 1.000 CI_L_LO4 -0.594 0.000 0.000 1.000 CI_L_UP4 0.030 0.000 0.000 1.000 CI_R_LO4 0.356 0.000 0.000 1.000 CI_R_UP4 0.508 0.000 0.000 1.000 REL5 0.431 0.000 0.000 1.000 SE5 0.038 0.000 0.000 1.000 L5 -0.278 0.000 0.000 1.000 SEL5 0.155 0.000 0.000 1.000 CI_L_LO5 -0.581 0.000 0.000 1.000 CI_L_UP5 0.026 0.000 0.000 1.000 CI_R_LO5 0.359 0.000 0.000 1.000 CI_R_UP5 0.506 0.000 0.000 1.000 REL6 0.423 0.000 0.000 1.000 SE6 0.038 0.000 0.000 1.000 L6 -0.310 0.000 0.000 1.000 SEL6 0.156 0.000 0.000 1.000 CI_L_LO6 -0.616 0.000 0.000 1.000 CI_L_UP6 -0.005 0.000 0.000 1.000 CI_R_LO6 0.351 0.000 0.000 1.000 CI_R_UP6 0.499 0.000 0.000 1.000 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: 20:00:05 Ending Time: 20:00:05 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