Mplus VERSION 7.1 MUTHEN & MUTHEN 09/20/2013 2:08 PM INPUT INSTRUCTIONS title: MVN R data Data without interaction, interaction not analyzed; data: type=montecarlo; file="z:\mplus\mvn\mvnlist.dat"; ! Data generated in "MVN data sim by eqs.inp" 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; [y*1.554]; y*0.871; analysis: estimator= ml; !type = random; algorithm = integration; process = 8; output: tech4; savedata: results = "z:\mplus\mvn\mvnparm0.dat"; INPUT READING TERMINATED NORMALLY MVN R data Data without 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\mvn\mvnlist.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 1.557 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 0.199 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 1.000 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 0.188 0.200 0.187 0.193 0.146 Correlations IN2 IN3 IN4 Y ________ ________ ________ ________ IN2 1.000 IN3 0.408 1.000 IN4 0.382 0.422 1.000 Y 0.129 0.143 0.132 1.000 MODEL FIT INFORMATION Number of Free Parameters 29 Loglikelihood H0 Value Mean -5488.082 Std Dev 47.638 Number of successful computations 1000 Proportions Percentiles Expected Observed Expected Observed 0.990 0.992 -5598.904 -5596.311 0.980 0.980 -5585.917 -5586.344 0.950 0.948 -5566.443 -5568.791 0.900 0.896 -5549.136 -5550.222 0.800 0.809 -5528.175 -5527.147 0.700 0.696 -5513.064 -5513.660 0.500 0.490 -5488.082 -5489.560 0.300 0.295 -5463.101 -5463.557 0.200 0.207 -5447.990 -5446.299 0.100 0.103 -5427.029 -5425.821 0.050 0.046 -5409.722 -5411.263 0.020 0.022 -5390.248 -5387.164 0.010 0.013 -5377.261 -5374.240 Information Criteria Akaike (AIC) Mean 11034.165 Std Dev 95.277 Number of successful computations 1000 Proportions Percentiles Expected Observed Expected Observed 0.990 0.987 10812.523 10805.496 0.980 0.978 10838.495 10831.646 0.950 0.954 10877.444 10880.480 0.900 0.897 10912.058 10907.011 0.800 0.793 10953.980 10950.269 0.700 0.705 10984.202 10984.850 0.500 0.510 11034.165 11037.003 0.300 0.304 11084.128 11084.533 0.200 0.191 11114.350 11111.633 0.100 0.104 11156.272 11157.003 0.050 0.052 11190.886 11192.576 0.020 0.020 11229.835 11229.330 0.010 0.008 11255.807 11248.761 Bayesian (BIC) Mean 11156.389 Std Dev 95.277 Number of successful computations 1000 Proportions Percentiles Expected Observed Expected Observed 0.990 0.987 10934.746 10927.720 0.980 0.978 10960.719 10953.869 0.950 0.954 10999.668 11002.704 0.900 0.897 11034.282 11029.235 0.800 0.793 11076.204 11072.492 0.700 0.705 11106.425 11107.074 0.500 0.510 11156.389 11159.227 0.300 0.304 11206.352 11206.757 0.200 0.191 11236.573 11233.856 0.100 0.104 11278.495 11279.226 0.050 0.052 11313.109 11314.800 0.020 0.020 11352.058 11351.554 0.010 0.008 11378.031 11370.984 Sample-Size Adjusted BIC (n* = (n + 2) / 24) Mean 11064.341 Std Dev 95.277 Number of successful computations 1000 Proportions Percentiles Expected Observed Expected Observed 0.990 0.987 10842.699 10835.672 0.980 0.978 10868.671 10861.822 0.950 0.954 10907.620 10910.656 0.900 0.897 10942.234 10937.187 0.800 0.793 10984.156 10980.445 0.700 0.705 11014.378 11015.026 0.500 0.510 11064.341 11067.179 0.300 0.304 11114.304 11114.709 0.200 0.191 11144.526 11141.808 0.100 0.104 11186.447 11187.178 0.050 0.052 11221.061 11222.752 0.020 0.020 11260.011 11259.506 0.010 0.008 11285.983 11278.937 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 1.0975 0.1482 0.1463 0.0221 0.956 1.000 EX3 1.624 1.6376 0.2290 0.2245 0.0526 0.944 1.000 EX4 1.262 1.2734 0.1754 0.1715 0.0309 0.941 1.000 F2 BY IN1 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000 IN2 0.747 0.7497 0.0730 0.0713 0.0053 0.950 1.000 IN3 0.888 0.8940 0.0820 0.0799 0.0068 0.948 1.000 IN4 0.675 0.6784 0.0641 0.0630 0.0041 0.948 1.000 Y ON F1 1.074 1.0830 0.2338 0.2304 0.0547 0.951 0.999 F2 0.109 0.1122 0.0587 0.0589 0.0035 0.952 0.464 F1 WITH F2 0.093 0.0925 0.0210 0.0205 0.0004 0.943 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 1.5570 0.0435 0.0446 0.0019 0.956 1.000 Variances F1 0.085 0.0855 0.0167 0.0166 0.0003 0.950 1.000 F2 0.907 0.9028 0.1213 0.1190 0.0147 0.949 1.000 Residual Variances EX1 0.207 0.2060 0.0173 0.0167 0.0003 0.931 1.000 EX2 0.203 0.2016 0.0178 0.0173 0.0003 0.947 1.000 EX3 0.553 0.5506 0.0451 0.0443 0.0020 0.942 1.000 EX4 0.298 0.2961 0.0240 0.0247 0.0006 0.958 1.000 IN1 0.945 0.9390 0.0890 0.0879 0.0080 0.943 1.000 IN2 0.860 0.8541 0.0671 0.0673 0.0045 0.939 1.000 IN3 0.865 0.8624 0.0755 0.0758 0.0057 0.949 1.000 IN4 0.631 0.6279 0.0513 0.0509 0.0026 0.942 1.000 Y 0.871 0.8614 0.0576 0.0585 0.0034 0.942 1.000 QUALITY OF NUMERICAL RESULTS Average Condition Number for the Information Matrix 0.719E-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 1.557 Estimated Covariance Matrix for the Latent Variables F1 F2 Y ________ ________ ________ F1 0.085 F2 0.092 0.903 Y 0.101 0.200 0.998 Estimated Correlation Matrix for the Latent Variables F1 F2 Y ________ ________ ________ F1 1.000 F2 0.333 1.000 Y 0.346 0.211 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\mvn\mvnparm0.dat Save file format Free DIAGRAM INFORMATION Mplus diagrams are currently not available for Monte Carlo analysis. No diagram output was produced. Beginning Time: 14:08:26 Ending Time: 14:09:59 Elapsed Time: 00:01:33 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