Mplus VERSION 7.1 MUTHEN & MUTHEN 09/21/2013 7:23 AM INPUT INSTRUCTIONS title: MVNI R data Data with interaction, interaction not analyzed; data: type=montecarlo; file="z:\mplus\mvni\mvnilist.dat"; ! Data generated in "MVNI data sim by eqs.r" variable: names = ex1 ex2 ex3 ex4 in1 in2 in3 in4 y; ! Observed: ex1 thru in4, y ! Latent: f1 f2 ! Latent interaction: s model: f1 by ex1 @ 1 ex2*1.086 ex3*1.624 ex4*1.262; f1*0.085; [ex1*1.146 ex2*1.122 ex3*1.393 ex4*1.203]; ex1*0.207 ex2*0.203 ex3*0.553 ex4*0.298; f2 by in1 @ 1 in2*0.747 in3*0.888 in4*0.675; f2*0.907; [in1*2.286 in2*1.956 in3*1.983 in4*1.636]; in1*0.945 in2*0.860 in3*0.865 in4*0.631; f1 with f2*0.093; !s | f1 xwith f2; y on f1*1.074 f2*0.109; !s*0.624; [y*1.554]; y*0.871; analysis: estimator= ml; !type = random; algorithm = integration; process = 8; output: tech4; savedata: results = "z:\mplus\mvni\mvniparm0.dat"; INPUT READING TERMINATED NORMALLY MVNI R data Data with interaction, interaction not analyzed; SUMMARY OF ANALYSIS Number of groups 1 Average number of observations 500 Number of replications Requested 1000 Completed 1000 Number of dependent variables 9 Number of independent variables 0 Number of continuous latent variables 2 Observed dependent variables Continuous EX1 EX2 EX3 EX4 IN1 IN2 IN3 IN4 Y Continuous latent variables F1 F2 Estimator ML Information matrix OBSERVED Optimization Specifications for the Quasi-Newton Algorithm for Continuous Outcomes Maximum number of iterations 100 Convergence criterion 0.100D-05 Optimization Specifications for the EM Algorithm Maximum number of iterations 500 Convergence criteria Loglikelihood change 0.100D-02 Relative loglikelihood change 0.100D-05 Derivative 0.100D-02 Optimization Specifications for the M step of the EM Algorithm for Categorical Latent variables Number of M step iterations 1 M step convergence criterion 0.100D-02 Basis for M step termination ITERATION Optimization Specifications for the M step of the EM Algorithm for Censored, Binary or Ordered Categorical (Ordinal), Unordered Categorical (Nominal) and Count Outcomes Number of M step iterations 1 M step convergence criterion 0.100D-02 Basis for M step termination ITERATION Maximum value for logit thresholds 15 Minimum value for logit thresholds -15 Minimum expected cell size for chi-square 0.100D-01 Optimization algorithm EMA Integration Specifications Type STANDARD Number of integration points 15 Dimensions of numerical integration 0 Adaptive quadrature ON Cholesky OFF Input data file(s) Multiple data files from z:\mplus\mvni\mvnilist.dat Input data format FREE SAMPLE STATISTICS NOTE: These are average results over 1000 data sets. SAMPLE STATISTICS Means EX1 EX2 EX3 EX4 IN1 ________ ________ ________ ________ ________ 1 1.146 1.122 1.393 1.203 2.286 Means IN2 IN3 IN4 Y ________ ________ ________ ________ 1 1.956 1.982 1.637 1.615 Covariances EX1 EX2 EX3 EX4 IN1 ________ ________ ________ ________ ________ EX1 0.292 EX2 0.092 0.303 EX3 0.138 0.149 0.777 EX4 0.107 0.117 0.173 0.433 IN1 0.093 0.101 0.152 0.115 1.846 IN2 0.069 0.076 0.112 0.088 0.672 IN3 0.083 0.090 0.135 0.104 0.803 IN4 0.062 0.068 0.102 0.078 0.609 Y 0.102 0.110 0.165 0.127 0.200 Covariances IN2 IN3 IN4 Y ________ ________ ________ ________ IN2 1.361 IN3 0.599 1.582 IN4 0.455 0.541 1.043 Y 0.150 0.180 0.135 1.033 Correlations EX1 EX2 EX3 EX4 IN1 ________ ________ ________ ________ ________ EX1 1.000 EX2 0.309 1.000 EX3 0.289 0.308 1.000 EX4 0.301 0.322 0.299 1.000 IN1 0.126 0.135 0.127 0.129 1.000 IN2 0.109 0.119 0.109 0.114 0.424 IN3 0.121 0.130 0.121 0.125 0.470 IN4 0.112 0.121 0.113 0.116 0.439 Y 0.185 0.197 0.184 0.191 0.145 Correlations IN2 IN3 IN4 Y ________ ________ ________ ________ IN2 1.000 IN3 0.408 1.000 IN4 0.382 0.422 1.000 Y 0.127 0.141 0.130 1.000 MODEL FIT INFORMATION Number of Free Parameters 29 Loglikelihood H0 Value Mean -5496.879 Std Dev 47.941 Number of successful computations 1000 Proportions Percentiles Expected Observed Expected Observed 0.990 0.990 -5608.404 -5609.190 0.980 0.978 -5595.335 -5598.309 0.950 0.949 -5575.737 -5577.253 0.900 0.899 -5558.320 -5558.908 0.800 0.809 -5537.226 -5534.879 0.700 0.698 -5522.019 -5522.260 0.500 0.491 -5496.879 -5497.655 0.300 0.301 -5471.739 -5471.691 0.200 0.214 -5456.533 -5454.492 0.100 0.108 -5435.439 -5433.278 0.050 0.048 -5418.022 -5419.007 0.020 0.022 -5398.424 -5395.001 0.010 0.012 -5385.355 -5384.038 Information Criteria Akaike (AIC) Mean 11051.759 Std Dev 95.881 Number of successful computations 1000 Proportions Percentiles Expected Observed Expected Observed 0.990 0.988 10828.711 10823.198 0.980 0.978 10854.848 10846.480 0.950 0.952 10894.044 10894.950 0.900 0.892 10928.878 10923.713 0.800 0.786 10971.065 10966.510 0.700 0.699 11001.479 11000.839 0.500 0.509 11051.759 11053.213 0.300 0.302 11102.039 11102.503 0.200 0.191 11132.452 11127.437 0.100 0.101 11174.640 11175.301 0.050 0.051 11209.474 11210.809 0.020 0.022 11248.670 11253.860 0.010 0.010 11274.807 11273.710 Bayesian (BIC) Mean 11173.983 Std Dev 95.881 Number of successful computations 1000 Proportions Percentiles Expected Observed Expected Observed 0.990 0.988 10950.934 10945.421 0.980 0.978 10977.072 10968.704 0.950 0.952 11016.268 11017.173 0.900 0.892 11051.101 11045.937 0.800 0.786 11093.289 11088.734 0.700 0.699 11123.702 11123.062 0.500 0.509 11173.983 11175.436 0.300 0.302 11224.263 11224.727 0.200 0.191 11254.676 11249.661 0.100 0.101 11296.864 11297.525 0.050 0.051 11331.697 11333.032 0.020 0.022 11370.894 11376.084 0.010 0.010 11397.031 11395.933 Sample-Size Adjusted BIC (n* = (n + 2) / 24) Mean 11081.935 Std Dev 95.881 Number of successful computations 1000 Proportions Percentiles Expected Observed Expected Observed 0.990 0.988 10858.887 10853.374 0.980 0.978 10885.024 10876.656 0.950 0.952 10924.220 10925.125 0.900 0.892 10959.054 10953.889 0.800 0.786 11001.241 10996.686 0.700 0.699 11031.655 11031.014 0.500 0.509 11081.935 11083.388 0.300 0.302 11132.215 11132.679 0.200 0.191 11162.628 11157.613 0.100 0.101 11204.816 11205.477 0.050 0.051 11239.650 11240.985 0.020 0.022 11278.846 11284.036 0.010 0.010 11304.983 11303.885 MODEL RESULTS ESTIMATES S. E. M. S. E. 95% % Sig Population Average Std. Dev. Average Cover Coeff F1 BY EX1 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000 EX2 1.086 1.0976 0.1484 0.1464 0.0221 0.955 1.000 EX3 1.624 1.6378 0.2295 0.2247 0.0528 0.945 1.000 EX4 1.262 1.2736 0.1760 0.1717 0.0311 0.941 1.000 F2 BY IN1 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000 IN2 0.747 0.7496 0.0731 0.0713 0.0053 0.951 1.000 IN3 0.888 0.8939 0.0821 0.0799 0.0068 0.949 1.000 IN4 0.675 0.6784 0.0641 0.0630 0.0041 0.949 1.000 Y ON F1 1.074 1.0846 0.2416 0.2338 0.0584 0.952 0.998 F2 0.109 0.1123 0.0601 0.0599 0.0036 0.955 0.464 F1 WITH F2 0.093 0.0925 0.0210 0.0205 0.0004 0.945 0.999 Intercepts EX1 1.146 1.1462 0.0243 0.0241 0.0006 0.944 1.000 EX2 1.122 1.1220 0.0251 0.0246 0.0006 0.945 1.000 EX3 1.393 1.3934 0.0416 0.0394 0.0017 0.937 1.000 EX4 1.203 1.2027 0.0303 0.0294 0.0009 0.941 1.000 IN1 2.286 2.2861 0.0617 0.0607 0.0038 0.940 1.000 IN2 1.956 1.9561 0.0523 0.0521 0.0027 0.952 1.000 IN3 1.983 1.9817 0.0535 0.0562 0.0029 0.960 1.000 IN4 1.636 1.6368 0.0467 0.0456 0.0022 0.938 1.000 Y 1.554 1.6151 0.0444 0.0454 0.0057 0.723 1.000 Variances F1 0.085 0.0855 0.0168 0.0166 0.0003 0.950 1.000 F2 0.907 0.9029 0.1213 0.1190 0.0147 0.946 1.000 Residual Variances EX1 0.207 0.2060 0.0173 0.0167 0.0003 0.930 1.000 EX2 0.203 0.2016 0.0178 0.0173 0.0003 0.947 1.000 EX3 0.553 0.5506 0.0452 0.0444 0.0020 0.939 1.000 EX4 0.298 0.2961 0.0240 0.0247 0.0006 0.959 1.000 IN1 0.945 0.9389 0.0891 0.0879 0.0080 0.941 1.000 IN2 0.860 0.8541 0.0671 0.0673 0.0045 0.939 1.000 IN3 0.865 0.8625 0.0755 0.0758 0.0057 0.950 1.000 IN4 0.631 0.6279 0.0513 0.0509 0.0026 0.942 1.000 Y 0.871 0.8935 0.0598 0.0605 0.0041 0.946 1.000 QUALITY OF NUMERICAL RESULTS Average Condition Number for the Information Matrix 0.706E-03 (ratio of smallest to largest eigenvalue) TECHNICAL 1 OUTPUT PARAMETER SPECIFICATION NU EX1 EX2 EX3 EX4 IN1 ________ ________ ________ ________ ________ 1 1 2 3 4 5 NU IN2 IN3 IN4 Y ________ ________ ________ ________ 1 6 7 8 0 LAMBDA F1 F2 Y ________ ________ ________ EX1 0 0 0 EX2 9 0 0 EX3 10 0 0 EX4 11 0 0 IN1 0 0 0 IN2 0 12 0 IN3 0 13 0 IN4 0 14 0 Y 0 0 0 THETA EX1 EX2 EX3 EX4 IN1 ________ ________ ________ ________ ________ EX1 15 EX2 0 16 EX3 0 0 17 EX4 0 0 0 18 IN1 0 0 0 0 19 IN2 0 0 0 0 0 IN3 0 0 0 0 0 IN4 0 0 0 0 0 Y 0 0 0 0 0 THETA IN2 IN3 IN4 Y ________ ________ ________ ________ IN2 20 IN3 0 21 IN4 0 0 22 Y 0 0 0 0 ALPHA F1 F2 Y ________ ________ ________ 1 0 0 23 BETA F1 F2 Y ________ ________ ________ F1 0 0 0 F2 0 0 0 Y 24 25 0 PSI F1 F2 Y ________ ________ ________ F1 26 F2 27 28 Y 0 0 29 STARTING VALUES NU EX1 EX2 EX3 EX4 IN1 ________ ________ ________ ________ ________ 1 1.146 1.122 1.393 1.203 2.286 NU IN2 IN3 IN4 Y ________ ________ ________ ________ 1 1.956 1.983 1.636 0.000 LAMBDA F1 F2 Y ________ ________ ________ EX1 1.000 0.000 0.000 EX2 1.086 0.000 0.000 EX3 1.624 0.000 0.000 EX4 1.262 0.000 0.000 IN1 0.000 1.000 0.000 IN2 0.000 0.747 0.000 IN3 0.000 0.888 0.000 IN4 0.000 0.675 0.000 Y 0.000 0.000 1.000 THETA EX1 EX2 EX3 EX4 IN1 ________ ________ ________ ________ ________ EX1 0.207 EX2 0.000 0.203 EX3 0.000 0.000 0.553 EX4 0.000 0.000 0.000 0.298 IN1 0.000 0.000 0.000 0.000 0.945 IN2 0.000 0.000 0.000 0.000 0.000 IN3 0.000 0.000 0.000 0.000 0.000 IN4 0.000 0.000 0.000 0.000 0.000 Y 0.000 0.000 0.000 0.000 0.000 THETA IN2 IN3 IN4 Y ________ ________ ________ ________ IN2 0.860 IN3 0.000 0.865 IN4 0.000 0.000 0.631 Y 0.000 0.000 0.000 0.000 ALPHA F1 F2 Y ________ ________ ________ 1 0.000 0.000 1.554 BETA F1 F2 Y ________ ________ ________ F1 0.000 0.000 0.000 F2 0.000 0.000 0.000 Y 1.074 0.109 0.000 PSI F1 F2 Y ________ ________ ________ F1 0.085 F2 0.093 0.907 Y 0.000 0.000 0.871 TECHNICAL 4 OUTPUT NOTE: These are average results over 1000 data sets. ESTIMATES DERIVED FROM THE MODEL Estimated Means for the Latent Variables F1 F2 Y ________ ________ ________ 1 0.000 0.000 1.615 Estimated Covariance Matrix for the Latent Variables F1 F2 Y ________ ________ ________ F1 0.085 F2 0.092 0.903 Y 0.101 0.200 1.031 Estimated Correlation Matrix for the Latent Variables F1 F2 Y ________ ________ ________ F1 1.000 F2 0.333 1.000 Y 0.341 0.208 1.000 RESULTS SAVING INFORMATION Order of data Replication number Parameter estimates (saved in order shown in Technical 1 output) Standard errors (saved in order shown in Technical 1 output) H0 Loglikelihood Number of Free Parameters Akaike (AIC) Bayesian (BIC) Sample-Size Adjusted BIC Entropy Condition Number Save file z:\mplus\mvni\mvniparm0.dat Save file format Free DIAGRAM INFORMATION Mplus diagrams are currently not available for Monte Carlo analysis. No diagram output was produced. Beginning Time: 07:23:06 Ending Time: 07:26:31 Elapsed Time: 00:03:25 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