Mplus VERSION 7.2 MUTHEN & MUTHEN 05/18/2017 12:27 AM INPUT INSTRUCTIONS TITLE: ch4 M3: Revised multivariate model with mediating variable; DATA: FILE IS ch4mv.dat; Format is 7f8.0,6f8.2; VARIABLE: Names are orgid female white satpay morale org1 org2 benefit cond resour zproduct lev1wt lev2wt; Usevariables are benefit cond female white org1 org2 zproduct; within = female white; between = org1 org2 zproduct; CLUSTER IS orgid; ANALYSIS: TYPE = twolevel; Estimator is mlr; MODEL: %Between% benefit cond on org1; zproduct on org2(a); benefit cond on zproduct(b1 b2); benefit with cond; %Within% benefit cond on female white; benefit with cond; Model constraint: New(ind1 ind2); ind1=a*b1; ind2=a*b2; OUTPUT: TECH1 TECH8 CINTERVAL; INPUT READING TERMINATED NORMALLY ch4 M3: Revised multivariate model with mediating variable; SUMMARY OF ANALYSIS Number of groups 1 Number of observations 12445 Number of dependent variables 3 Number of independent variables 4 Number of continuous latent variables 0 Observed dependent variables Continuous ZPRODUCT BENEFIT COND Observed independent variables FEMALE WHITE ORG1 ORG2 Variables with special functions Cluster variable ORGID Within variables FEMALE WHITE Between variables ORG1 ORG2 ZPRODUCT Estimator MLR Information matrix OBSERVED Maximum number of iterations 100 Convergence criterion 0.100D-05 Maximum number of EM iterations 500 Convergence criteria for the EM algorithm Loglikelihood change 0.100D-02 Relative loglikelihood change 0.100D-05 Derivative 0.100D-03 Minimum variance 0.100D-03 Maximum number of steepest descent iterations 20 Maximum number of iterations for H1 2000 Convergence criterion for H1 0.100D-03 Optimization algorithm EMA Input data file(s) ch4mv.dat Input data format (7F8.0,6F8.2) SUMMARY OF DATA Number of clusters 160 Average cluster size 77.781 Estimated Intraclass Correlations for the Y Variables Intraclass Intraclass Variable Correlation Variable Correlation BENEFIT 0.104 COND 0.088 THE MODEL ESTIMATION TERMINATED NORMALLY MODEL FIT INFORMATION Number of Free Parameters 19 Loglikelihood H0 Value -40522.071 H0 Scaling Correction Factor 1.1753 for MLR H1 Value -40521.828 H1 Scaling Correction Factor 1.1563 for MLR Information Criteria Akaike (AIC) 81082.143 Bayesian (BIC) 81223.295 Sample-Size Adjusted BIC 81162.915 (n* = (n + 2) / 24) Chi-Square Test of Model Fit Value 0.471* Degrees of Freedom 3 P-Value 0.9252 Scaling Correction Factor 1.0359 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 0.000 CFI/TLI CFI 1.000 TLI 1.001 Chi-Square Test of Model Fit for the Baseline Model Value 9262.749 Degrees of Freedom 14 P-Value 0.0000 SRMR (Standardized Root Mean Square Residual) Value for Within 0.000 Value for Between 0.016 MODEL RESULTS Two-Tailed Estimate S.E. Est./S.E. P-Value Within Level BENEFIT ON FEMALE 0.697 0.027 25.645 0.000 WHITE 0.224 0.029 7.778 0.000 COND ON FEMALE 0.706 0.029 24.333 0.000 WHITE 0.247 0.028 8.742 0.000 BENEFIT WITH COND 1.344 0.035 38.286 0.000 Residual Variances BENEFIT 2.029 0.039 52.560 0.000 COND 1.948 0.039 49.581 0.000 Between Level BENEFIT ON ORG1 0.278 0.075 3.691 0.000 ZPRODUCT 0.309 0.031 10.112 0.000 COND ON ORG1 0.309 0.060 5.158 0.000 ZPRODUCT 0.289 0.027 10.562 0.000 ZPRODUCT ON ORG2 -0.451 0.195 -2.319 0.020 BENEFIT WITH COND 0.095 0.016 5.988 0.000 Intercepts ZPRODUCT 0.087 0.093 0.939 0.348 BENEFIT 4.422 0.039 112.301 0.000 COND 4.684 0.035 132.643 0.000 Residual Variances ZPRODUCT 1.071 0.109 9.840 0.000 BENEFIT 0.133 0.020 6.576 0.000 COND 0.093 0.015 6.160 0.000 New/Additional Parameters IND1 -0.139 0.060 -2.336 0.019 IND2 -0.131 0.056 -2.322 0.020 QUALITY OF NUMERICAL RESULTS Condition Number for the Information Matrix 0.530E-05 (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% Within Level BENEFIT ON FEMALE 0.627 0.644 0.652 0.697 0.741 0.750 0.767 WHITE 0.150 0.167 0.177 0.224 0.271 0.280 0.298 COND ON FEMALE 0.631 0.649 0.658 0.706 0.754 0.763 0.781 WHITE 0.174 0.192 0.201 0.247 0.294 0.303 0.320 BENEFIT WITH COND 1.254 1.275 1.286 1.344 1.402 1.413 1.434 Residual Variances BENEFIT 1.930 1.954 1.966 2.029 2.093 2.105 2.129 COND 1.847 1.871 1.884 1.948 2.013 2.025 2.049 Between Level BENEFIT ON ORG1 0.084 0.130 0.154 0.278 0.402 0.426 0.472 ZPRODUCT 0.230 0.249 0.259 0.309 0.359 0.369 0.388 COND ON ORG1 0.155 0.191 0.210 0.309 0.407 0.426 0.463 ZPRODUCT 0.219 0.236 0.244 0.289 0.334 0.343 0.360 ZPRODUCT ON ORG2 -0.952 -0.833 -0.771 -0.451 -0.131 -0.070 0.050 BENEFIT WITH COND 0.054 0.064 0.069 0.095 0.122 0.127 0.136 Intercepts ZPRODUCT -0.152 -0.095 -0.065 0.087 0.239 0.268 0.325 BENEFIT 4.320 4.345 4.357 4.422 4.486 4.499 4.523 COND 4.593 4.615 4.626 4.684 4.742 4.753 4.775 Residual Variances ZPRODUCT 0.790 0.857 0.892 1.071 1.250 1.284 1.351 BENEFIT 0.081 0.093 0.100 0.133 0.166 0.172 0.185 COND 0.054 0.063 0.068 0.093 0.117 0.122 0.131 New/Additional Parameters IND1 -0.293 -0.256 -0.238 -0.139 -0.041 -0.022 0.014 IND2 -0.275 -0.241 -0.223 -0.131 -0.038 -0.020 0.014 TECHNICAL 1 OUTPUT PARAMETER SPECIFICATION FOR WITHIN NU ZPRODUCT BENEFIT COND FEMALE WHITE ________ ________ ________ ________ ________ 1 0 0 0 0 0 NU ORG1 ORG2 ________ ________ 1 0 0 LAMBDA ZPRODUCT BENEFIT COND FEMALE WHITE ________ ________ ________ ________ ________ ZPRODUCT 0 0 0 0 0 BENEFIT 0 0 0 0 0 COND 0 0 0 0 0 FEMALE 0 0 0 0 0 WHITE 0 0 0 0 0 ORG1 0 0 0 0 0 ORG2 0 0 0 0 0 LAMBDA ORG1 ORG2 ________ ________ ZPRODUCT 0 0 BENEFIT 0 0 COND 0 0 FEMALE 0 0 WHITE 0 0 ORG1 0 0 ORG2 0 0 THETA ZPRODUCT BENEFIT COND FEMALE WHITE ________ ________ ________ ________ ________ ZPRODUCT 0 BENEFIT 0 0 COND 0 0 0 FEMALE 0 0 0 0 WHITE 0 0 0 0 0 ORG1 0 0 0 0 0 ORG2 0 0 0 0 0 THETA ORG1 ORG2 ________ ________ ORG1 0 ORG2 0 0 ALPHA ZPRODUCT BENEFIT COND FEMALE WHITE ________ ________ ________ ________ ________ 1 0 0 0 0 0 ALPHA ORG1 ORG2 ________ ________ 1 0 0 BETA ZPRODUCT BENEFIT COND FEMALE WHITE ________ ________ ________ ________ ________ ZPRODUCT 0 0 0 0 0 BENEFIT 0 0 0 1 2 COND 0 0 0 3 4 FEMALE 0 0 0 0 0 WHITE 0 0 0 0 0 ORG1 0 0 0 0 0 ORG2 0 0 0 0 0 BETA ORG1 ORG2 ________ ________ ZPRODUCT 0 0 BENEFIT 0 0 COND 0 0 FEMALE 0 0 WHITE 0 0 ORG1 0 0 ORG2 0 0 PSI ZPRODUCT BENEFIT COND FEMALE WHITE ________ ________ ________ ________ ________ ZPRODUCT 0 BENEFIT 0 5 COND 0 6 7 FEMALE 0 0 0 0 WHITE 0 0 0 0 0 ORG1 0 0 0 0 0 ORG2 0 0 0 0 0 PSI ORG1 ORG2 ________ ________ ORG1 0 ORG2 0 0 PARAMETER SPECIFICATION FOR BETWEEN NU ZPRODUCT BENEFIT COND FEMALE WHITE ________ ________ ________ ________ ________ 1 0 0 0 0 0 NU ORG1 ORG2 ________ ________ 1 0 0 LAMBDA ZPRODUCT BENEFIT COND FEMALE WHITE ________ ________ ________ ________ ________ ZPRODUCT 0 0 0 0 0 BENEFIT 0 0 0 0 0 COND 0 0 0 0 0 FEMALE 0 0 0 0 0 WHITE 0 0 0 0 0 ORG1 0 0 0 0 0 ORG2 0 0 0 0 0 LAMBDA ORG1 ORG2 ________ ________ ZPRODUCT 0 0 BENEFIT 0 0 COND 0 0 FEMALE 0 0 WHITE 0 0 ORG1 0 0 ORG2 0 0 THETA ZPRODUCT BENEFIT COND FEMALE WHITE ________ ________ ________ ________ ________ ZPRODUCT 0 BENEFIT 0 0 COND 0 0 0 FEMALE 0 0 0 0 WHITE 0 0 0 0 0 ORG1 0 0 0 0 0 ORG2 0 0 0 0 0 THETA ORG1 ORG2 ________ ________ ORG1 0 ORG2 0 0 ALPHA ZPRODUCT BENEFIT COND FEMALE WHITE ________ ________ ________ ________ ________ 1 8 9 10 0 0 ALPHA ORG1 ORG2 ________ ________ 1 0 0 BETA ZPRODUCT BENEFIT COND FEMALE WHITE ________ ________ ________ ________ ________ ZPRODUCT 0 0 0 0 0 BENEFIT 12 0 0 0 0 COND 14 0 0 0 0 FEMALE 0 0 0 0 0 WHITE 0 0 0 0 0 ORG1 0 0 0 0 0 ORG2 0 0 0 0 0 BETA ORG1 ORG2 ________ ________ ZPRODUCT 0 11 BENEFIT 13 0 COND 15 0 FEMALE 0 0 WHITE 0 0 ORG1 0 0 ORG2 0 0 PSI ZPRODUCT BENEFIT COND FEMALE WHITE ________ ________ ________ ________ ________ ZPRODUCT 16 BENEFIT 0 17 COND 0 18 19 FEMALE 0 0 0 0 WHITE 0 0 0 0 0 ORG1 0 0 0 0 0 ORG2 0 0 0 0 0 PSI ORG1 ORG2 ________ ________ ORG1 0 ORG2 0 0 PARAMETER SPECIFICATION FOR THE ADDITIONAL PARAMETERS NEW/ADDITIONAL PARAMETERS IND1 IND2 ________ ________ 1 20 21 STARTING VALUES FOR WITHIN NU ZPRODUCT BENEFIT COND FEMALE WHITE ________ ________ ________ ________ ________ 1 0.000 0.000 0.000 0.000 0.000 NU ORG1 ORG2 ________ ________ 1 0.000 0.000 LAMBDA ZPRODUCT BENEFIT COND FEMALE WHITE ________ ________ ________ ________ ________ ZPRODUCT 1.000 0.000 0.000 0.000 0.000 BENEFIT 0.000 1.000 0.000 0.000 0.000 COND 0.000 0.000 1.000 0.000 0.000 FEMALE 0.000 0.000 0.000 1.000 0.000 WHITE 0.000 0.000 0.000 0.000 1.000 ORG1 0.000 0.000 0.000 0.000 0.000 ORG2 0.000 0.000 0.000 0.000 0.000 LAMBDA ORG1 ORG2 ________ ________ ZPRODUCT 0.000 0.000 BENEFIT 0.000 0.000 COND 0.000 0.000 FEMALE 0.000 0.000 WHITE 0.000 0.000 ORG1 1.000 0.000 ORG2 0.000 1.000 THETA ZPRODUCT BENEFIT COND FEMALE WHITE ________ ________ ________ ________ ________ ZPRODUCT 0.000 BENEFIT 0.000 0.000 COND 0.000 0.000 0.000 FEMALE 0.000 0.000 0.000 0.000 WHITE 0.000 0.000 0.000 0.000 0.000 ORG1 0.000 0.000 0.000 0.000 0.000 ORG2 0.000 0.000 0.000 0.000 0.000 THETA ORG1 ORG2 ________ ________ ORG1 0.000 ORG2 0.000 0.000 ALPHA ZPRODUCT BENEFIT COND FEMALE WHITE ________ ________ ________ ________ ________ 1 0.000 0.000 0.000 0.000 0.000 ALPHA ORG1 ORG2 ________ ________ 1 0.000 0.000 BETA ZPRODUCT BENEFIT COND FEMALE WHITE ________ ________ ________ ________ ________ ZPRODUCT 0.000 0.000 0.000 0.000 0.000 BENEFIT 0.000 0.000 0.000 0.000 0.000 COND 0.000 0.000 0.000 0.000 0.000 FEMALE 0.000 0.000 0.000 0.000 0.000 WHITE 0.000 0.000 0.000 0.000 0.000 ORG1 0.000 0.000 0.000 0.000 0.000 ORG2 0.000 0.000 0.000 0.000 0.000 BETA ORG1 ORG2 ________ ________ ZPRODUCT 0.000 0.000 BENEFIT 0.000 0.000 COND 0.000 0.000 FEMALE 0.000 0.000 WHITE 0.000 0.000 ORG1 0.000 0.000 ORG2 0.000 0.000 PSI ZPRODUCT BENEFIT COND FEMALE WHITE ________ ________ ________ ________ ________ ZPRODUCT 0.000 BENEFIT 0.000 1.194 COND 0.000 0.000 1.139 FEMALE 0.000 0.000 0.000 0.125 WHITE 0.000 0.000 0.000 0.000 0.124 ORG1 0.000 0.000 0.000 0.000 0.000 ORG2 0.000 0.000 0.000 0.000 0.000 PSI ORG1 ORG2 ________ ________ ORG1 0.000 ORG2 0.000 0.000 STARTING VALUES FOR BETWEEN NU ZPRODUCT BENEFIT COND FEMALE WHITE ________ ________ ________ ________ ________ 1 0.000 0.000 0.000 0.000 0.000 NU ORG1 ORG2 ________ ________ 1 0.000 0.000 LAMBDA ZPRODUCT BENEFIT COND FEMALE WHITE ________ ________ ________ ________ ________ ZPRODUCT 1.000 0.000 0.000 0.000 0.000 BENEFIT 0.000 1.000 0.000 0.000 0.000 COND 0.000 0.000 1.000 0.000 0.000 FEMALE 0.000 0.000 0.000 1.000 0.000 WHITE 0.000 0.000 0.000 0.000 1.000 ORG1 0.000 0.000 0.000 0.000 0.000 ORG2 0.000 0.000 0.000 0.000 0.000 LAMBDA ORG1 ORG2 ________ ________ ZPRODUCT 0.000 0.000 BENEFIT 0.000 0.000 COND 0.000 0.000 FEMALE 0.000 0.000 WHITE 0.000 0.000 ORG1 1.000 0.000 ORG2 0.000 1.000 THETA ZPRODUCT BENEFIT COND FEMALE WHITE ________ ________ ________ ________ ________ ZPRODUCT 0.000 BENEFIT 0.000 0.000 COND 0.000 0.000 0.000 FEMALE 0.000 0.000 0.000 0.000 WHITE 0.000 0.000 0.000 0.000 0.000 ORG1 0.000 0.000 0.000 0.000 0.000 ORG2 0.000 0.000 0.000 0.000 0.000 THETA ORG1 ORG2 ________ ________ ORG1 0.000 ORG2 0.000 0.000 ALPHA ZPRODUCT BENEFIT COND FEMALE WHITE ________ ________ ________ ________ ________ 1 0.000 4.922 5.213 0.000 0.000 ALPHA ORG1 ORG2 ________ ________ 1 0.000 0.000 BETA ZPRODUCT BENEFIT COND FEMALE WHITE ________ ________ ________ ________ ________ ZPRODUCT 0.000 0.000 0.000 0.000 0.000 BENEFIT 0.000 0.000 0.000 0.000 0.000 COND 0.000 0.000 0.000 0.000 0.000 FEMALE 0.000 0.000 0.000 0.000 0.000 WHITE 0.000 0.000 0.000 0.000 0.000 ORG1 0.000 0.000 0.000 0.000 0.000 ORG2 0.000 0.000 0.000 0.000 0.000 BETA ORG1 ORG2 ________ ________ ZPRODUCT 0.000 0.000 BENEFIT 0.000 0.000 COND 0.000 0.000 FEMALE 0.000 0.000 WHITE 0.000 0.000 ORG1 0.000 0.000 ORG2 0.000 0.000 PSI ZPRODUCT BENEFIT COND FEMALE WHITE ________ ________ ________ ________ ________ ZPRODUCT 0.500 BENEFIT 0.000 1.194 COND 0.000 0.000 1.139 FEMALE 0.000 0.000 0.000 0.000 WHITE 0.000 0.000 0.000 0.000 0.000 ORG1 0.000 0.000 0.000 0.000 0.000 ORG2 0.000 0.000 0.000 0.000 0.000 PSI ORG1 ORG2 ________ ________ ORG1 0.079 ORG2 0.000 0.090 STARTING VALUES FOR THE ADDITIONAL PARAMETERS NEW/ADDITIONAL PARAMETERS IND1 IND2 ________ ________ 1 0.500 0.500 TECHNICAL 8 OUTPUT E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM 1 -0.48134093D+05 0.0000000 0.0000000 EM 2 -0.40725256D+05 7408.8368802 0.1539208 EM 3 -0.40617769D+05 107.4872508 0.0026393 EM 4 -0.40570110D+05 47.6591512 0.0011734 EM 5 -0.40546690D+05 23.4202554 0.0005773 EM 6 -0.40534823D+05 11.8666916 0.0002927 EM 7 -0.40528727D+05 6.0962198 0.0001504 EM 8 -0.40525568D+05 3.1583522 0.0000779 EM 9 -0.40523921D+05 1.6474415 0.0000407 EM 10 -0.40523056D+05 0.8648003 0.0000213 EM 11 -0.40522599D+05 0.4568735 0.0000113 EM 12 -0.40522356D+05 0.2429735 0.0000060 EM 13 -0.40522226D+05 0.1301283 0.0000032 EM 14 -0.40522156D+05 0.0702025 0.0000017 EM 15 -0.40522118D+05 0.0381613 0.0000009 EM 16 -0.40522097D+05 0.0209064 0.0000005 EM 17 -0.40522085D+05 0.0115442 0.0000003 EM 18 -0.40522079D+05 0.0064252 0.0000002 EM 19 -0.40522075D+05 0.0036040 0.0000001 EM 20 -0.40522073D+05 0.0020370 0.0000001 EM 21 -0.40522072D+05 0.0011597 0.0000000 EM 22 -0.40522071D+05 0.0006647 0.0000000 EM TECHNICAL 8 OUTPUT FOR THE H1 MODEL E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM 1 -0.45107000D+05 0.0000000 0.0000000 EM 2 -0.40525652D+05 4581.3484395 0.1015662 EM 3 -0.40522441D+05 3.2109463 0.0000792 EM 4 -0.40522024D+05 0.4162195 0.0000103 EM 5 -0.40521898D+05 0.1260065 0.0000031 EM 6 -0.40521854D+05 0.0440816 0.0000011 EM 7 -0.40521838D+05 0.0164400 0.0000004 EM 8 -0.40521832D+05 0.0063312 0.0000002 EM 9 -0.40521829D+05 0.0024806 0.0000001 EM 10 -0.40521828D+05 0.0009814 0.0000000 EM 11 -0.40521828D+05 0.0003905 0.0000000 EM 12 -0.40521828D+05 0.0001559 0.0000000 EM 13 -0.40521828D+05 0.0000624 0.0000000 EM TECHNICAL 8 OUTPUT FOR THE BASELINE MODEL E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM 1 -0.45272587D+05 0.0000000 0.0000000 EM 2 -0.45272448D+05 0.1389817 0.0000031 EM 3 -0.45272440D+05 0.0080390 0.0000002 EM 4 -0.45272440D+05 0.0005266 0.0000000 EM 5 -0.45272440D+05 0.0000362 0.0000000 EM DIAGRAM INFORMATION Mplus diagrams are currently not available for multilevel analysis. No diagram output was produced. Beginning Time: 00:27:02 Ending Time: 00:27:03 Elapsed Time: 00:00:01 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) 1998-2014 Muthen & Muthen