Mplus VERSION 7.1 MUTHEN & MUTHEN 09/21/2013 10:27 AM INPUT INSTRUCTIONS title: MVChiI R data Data with interaction, interaction not analyzed; data: type=montecarlo; file="z:\mplus\mvchii\mvchiilist.dat"; ! Data generated in "MVChi int sim.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\mvchii\mvchiiparms0.dat"; INPUT READING TERMINATED NORMALLY MVChiI 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\mvchii\mvchiilist.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 1.145 1.122 1.393 1.203 2.285 Means IN2 IN3 IN4 Y ________ ________ ________ ________ 1 1.956 1.979 1.637 1.612 Covariances EX1 EX2 EX3 EX4 IN1 ________ ________ ________ ________ ________ EX1 0.292 EX2 0.093 0.303 EX3 0.139 0.150 0.779 EX4 0.107 0.117 0.174 0.435 IN1 0.094 0.101 0.152 0.118 1.849 IN2 0.070 0.074 0.111 0.088 0.678 IN3 0.082 0.090 0.134 0.106 0.804 IN4 0.062 0.069 0.102 0.081 0.611 Y 0.149 0.162 0.242 0.190 0.252 Covariances IN2 IN3 IN4 Y ________ ________ ________ ________ IN2 1.370 IN3 0.600 1.572 IN4 0.456 0.542 1.046 Y 0.188 0.224 0.170 1.188 Correlations EX1 EX2 EX3 EX4 IN1 ________ ________ ________ ________ ________ EX1 1.000 EX2 0.312 1.000 EX3 0.292 0.309 1.000 EX4 0.301 0.322 0.299 1.000 IN1 0.127 0.135 0.127 0.131 1.000 IN2 0.110 0.115 0.108 0.114 0.426 IN3 0.121 0.130 0.121 0.128 0.472 IN4 0.113 0.123 0.113 0.120 0.439 Y 0.254 0.270 0.251 0.264 0.170 Correlations IN2 IN3 IN4 Y ________ ________ ________ ________ IN2 1.000 IN3 0.409 1.000 IN4 0.381 0.423 1.000 Y 0.147 0.164 0.152 1.000 MODEL FIT INFORMATION Number of Free Parameters 29 Loglikelihood H0 Value Mean -5490.755 Std Dev 115.399 Number of successful computations 1000 Proportions Percentiles Expected Observed Expected Observed 0.990 0.990 -5759.208 -5768.841 0.980 0.972 -5727.750 -5737.902 0.950 0.945 -5680.575 -5688.058 0.900 0.899 -5638.651 -5640.016 0.800 0.801 -5587.875 -5588.956 0.700 0.706 -5551.270 -5546.953 0.500 0.491 -5490.755 -5492.787 0.300 0.286 -5430.240 -5435.875 0.200 0.193 -5393.635 -5395.873 0.100 0.103 -5342.859 -5341.929 0.050 0.052 -5300.935 -5296.602 0.020 0.022 -5253.760 -5246.563 0.010 0.009 -5222.302 -5224.001 Information Criteria Akaike (AIC) Mean 11039.510 Std Dev 230.799 Number of successful computations 1000 Proportions Percentiles Expected Observed Expected Observed 0.990 0.991 10502.603 10504.161 0.980 0.978 10565.519 10546.080 0.950 0.948 10659.869 10646.736 0.900 0.897 10743.719 10735.923 0.800 0.807 10845.270 10848.415 0.700 0.714 10918.479 10929.616 0.500 0.509 11039.510 11043.527 0.300 0.294 11160.541 11151.526 0.200 0.199 11233.750 11232.306 0.100 0.101 11335.301 11335.723 0.050 0.055 11419.150 11430.757 0.020 0.028 11513.501 11527.076 0.010 0.010 11576.417 11567.022 Bayesian (BIC) Mean 11161.734 Std Dev 230.799 Number of successful computations 1000 Proportions Percentiles Expected Observed Expected Observed 0.990 0.991 10624.827 10626.384 0.980 0.978 10687.743 10668.304 0.950 0.948 10782.093 10768.960 0.900 0.897 10865.942 10858.146 0.800 0.807 10967.494 10970.638 0.700 0.714 11040.703 11051.840 0.500 0.509 11161.734 11165.751 0.300 0.294 11282.764 11273.749 0.200 0.199 11355.974 11354.529 0.100 0.101 11457.525 11457.947 0.050 0.055 11541.374 11552.981 0.020 0.028 11635.725 11649.300 0.010 0.010 11698.640 11689.246 Sample-Size Adjusted BIC (n* = (n + 2) / 24) Mean 11069.686 Std Dev 230.799 Number of successful computations 1000 Proportions Percentiles Expected Observed Expected Observed 0.990 0.991 10532.779 10534.337 0.980 0.978 10595.695 10576.256 0.950 0.948 10690.045 10676.912 0.900 0.897 10773.894 10766.099 0.800 0.807 10875.446 10878.591 0.700 0.714 10948.655 10959.792 0.500 0.509 11069.686 11073.703 0.300 0.294 11190.717 11181.702 0.200 0.199 11263.926 11262.482 0.100 0.101 11365.477 11365.899 0.050 0.055 11449.326 11460.933 0.020 0.028 11543.677 11557.252 0.010 0.010 11606.592 11597.198 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 1.0923 0.1451 0.1420 0.0211 0.951 1.000 EX3 1.624 1.6340 0.2269 0.2192 0.0515 0.942 1.000 EX4 1.262 1.2706 0.1715 0.1676 0.0295 0.941 1.000 F2 BY IN1 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000 IN2 0.747 0.7487 0.0723 0.0714 0.0052 0.956 1.000 IN3 0.888 0.8888 0.0791 0.0796 0.0063 0.958 1.000 IN4 0.675 0.6758 0.0632 0.0631 0.0040 0.953 1.000 Y ON F1 1.074 1.6277 0.3070 0.2651 0.4007 0.465 1.000 F2 0.109 0.1093 0.0698 0.0628 0.0049 0.928 0.422 F1 WITH F2 0.093 0.0931 0.0250 0.0204 0.0006 0.900 0.998 Intercepts EX1 1.146 1.1448 0.0235 0.0241 0.0006 0.948 1.000 EX2 1.122 1.1217 0.0244 0.0245 0.0006 0.951 1.000 EX3 1.393 1.3929 0.0394 0.0393 0.0015 0.938 1.000 EX4 1.203 1.2033 0.0281 0.0294 0.0008 0.960 1.000 IN1 2.286 2.2847 0.0608 0.0606 0.0037 0.942 1.000 IN2 1.956 1.9560 0.0538 0.0522 0.0029 0.937 1.000 IN3 1.983 1.9793 0.0557 0.0559 0.0031 0.949 1.000 IN4 1.636 1.6370 0.0465 0.0456 0.0022 0.940 1.000 Y 1.554 1.6121 0.0488 0.0485 0.0058 0.795 1.000 Variances F1 0.085 0.0861 0.0204 0.0162 0.0004 0.879 1.000 F2 0.907 0.9090 0.1699 0.1190 0.0289 0.822 1.000 Residual Variances EX1 0.207 0.2049 0.0348 0.0163 0.0012 0.618 1.000 EX2 0.203 0.2011 0.0358 0.0168 0.0013 0.639 1.000 EX3 0.553 0.5508 0.0955 0.0434 0.0091 0.627 1.000 EX4 0.298 0.2978 0.0518 0.0242 0.0027 0.663 1.000 IN1 0.945 0.9365 0.1747 0.0874 0.0305 0.687 1.000 IN2 0.860 0.8599 0.1520 0.0674 0.0231 0.599 1.000 IN3 0.865 0.8550 0.1571 0.0748 0.0248 0.644 1.000 IN4 0.631 0.6309 0.1130 0.0509 0.0128 0.631 1.000 Y 0.871 0.9057 0.1498 0.0658 0.0236 0.623 1.000 QUALITY OF NUMERICAL RESULTS Average Condition Number for the Information Matrix 0.149E-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 1.612 Estimated Covariance Matrix for the Latent Variables F1 F2 Y ________ ________ ________ F1 0.086 F2 0.093 0.909 Y 0.149 0.252 1.186 Estimated Correlation Matrix for the Latent Variables F1 F2 Y ________ ________ ________ F1 1.000 F2 0.333 1.000 Y 0.467 0.242 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\mvchii\mvchiiparms0.dat Save file format Free DIAGRAM INFORMATION Mplus diagrams are currently not available for Monte Carlo analysis. No diagram output was produced. Beginning Time: 10:27:21 Ending Time: 10:30:32 Elapsed Time: 00:03:11 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