Mplus VERSION 7.1 MUTHEN & MUTHEN 09/21/2013 7:35 AM INPUT INSTRUCTIONS title: MVNI R data Data with interaction, interaction 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; savedata: results = "z:\mplus\mvni\mvniparm1.dat"; INPUT READING TERMINATED NORMALLY MVNI R data Data with interaction, interaction 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 3 Observed dependent variables Continuous EX1 EX2 EX3 EX4 IN1 IN2 IN3 IN4 Y Continuous latent variables F1 F2 S 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 2 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 30 Loglikelihood H0 Value Mean -5491.679 Std Dev 47.736 Number of successful computations 1000 Proportions Percentiles Expected Observed Expected Observed 0.990 0.992 -5602.728 -5600.261 0.980 0.980 -5589.715 -5590.413 0.950 0.948 -5570.200 -5571.626 0.900 0.898 -5552.858 -5553.616 0.800 0.810 -5531.854 -5530.048 0.700 0.694 -5516.712 -5517.231 0.500 0.493 -5491.679 -5493.199 0.300 0.305 -5466.646 -5466.260 0.200 0.210 -5451.504 -5450.107 0.100 0.110 -5430.500 -5428.690 0.050 0.046 -5413.157 -5413.942 0.020 0.022 -5393.643 -5391.624 0.010 0.013 -5380.630 -5378.475 Information Criteria Akaike (AIC) Mean 11043.357 Std Dev 95.473 Number of successful computations 1000 Proportions Percentiles Expected Observed Expected Observed 0.990 0.987 10821.259 10814.237 0.980 0.978 10847.285 10838.614 0.950 0.954 10886.314 10887.167 0.900 0.890 10921.000 10915.995 0.800 0.790 10963.008 10959.679 0.700 0.695 10993.291 10992.470 0.500 0.507 11043.357 11046.189 0.300 0.306 11093.423 11094.291 0.200 0.190 11123.707 11119.234 0.100 0.102 11165.715 11166.644 0.050 0.052 11200.400 11202.373 0.020 0.020 11239.430 11238.780 0.010 0.008 11265.456 11258.566 Bayesian (BIC) Mean 11169.796 Std Dev 95.473 Number of successful computations 1000 Proportions Percentiles Expected Observed Expected Observed 0.990 0.987 10947.697 10940.675 0.980 0.978 10973.723 10965.053 0.950 0.954 11012.753 11013.606 0.900 0.890 11047.438 11042.434 0.800 0.790 11089.446 11086.117 0.700 0.695 11119.730 11118.908 0.500 0.507 11169.796 11172.627 0.300 0.306 11219.861 11220.729 0.200 0.190 11250.145 11245.672 0.100 0.102 11292.153 11293.082 0.050 0.052 11326.839 11328.812 0.020 0.020 11365.868 11365.219 0.010 0.008 11391.894 11385.004 Sample-Size Adjusted BIC (n* = (n + 2) / 24) Mean 11074.574 Std Dev 95.473 Number of successful computations 1000 Proportions Percentiles Expected Observed Expected Observed 0.990 0.987 10852.476 10845.453 0.980 0.978 10878.501 10869.831 0.950 0.954 10917.531 10918.384 0.900 0.890 10952.216 10947.212 0.800 0.790 10994.224 10990.896 0.700 0.695 11024.508 11023.686 0.500 0.507 11074.574 11077.405 0.300 0.306 11124.640 11125.507 0.200 0.190 11154.924 11150.451 0.100 0.102 11196.932 11197.861 0.050 0.052 11231.617 11233.590 0.020 0.020 11270.646 11269.997 0.010 0.008 11296.672 11289.782 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 1.0959 0.1459 0.1452 0.0214 0.956 1.000 EX3 1.624 1.6368 0.2249 0.2232 0.0507 0.949 1.000 EX4 1.262 1.2728 0.1725 0.1705 0.0298 0.945 1.000 F2 BY IN1 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000 IN2 0.747 0.7493 0.0719 0.0710 0.0052 0.948 1.000 IN3 0.888 0.8934 0.0805 0.0795 0.0065 0.949 1.000 IN4 0.675 0.6782 0.0632 0.0628 0.0040 0.949 1.000 Y ON F1 1.074 1.0827 0.2336 0.2326 0.0546 0.958 0.997 F2 0.109 0.1121 0.0594 0.0600 0.0035 0.953 0.459 S 0.624 0.6190 0.2261 0.2177 0.0511 0.941 0.831 F1 WITH F2 0.093 0.0925 0.0209 0.0204 0.0004 0.947 1.000 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 0.939 1.000 EX4 1.203 1.2027 0.0303 0.0294 0.0009 0.942 1.000 IN1 2.286 2.2860 0.0616 0.0607 0.0038 0.940 1.000 IN2 1.956 1.9561 0.0522 0.0521 0.0027 0.954 1.000 IN3 1.983 1.9817 0.0534 0.0562 0.0029 0.961 1.000 IN4 1.636 1.6368 0.0466 0.0456 0.0022 0.940 1.000 Y 1.554 1.5586 0.0462 0.0488 0.0021 0.964 1.000 Variances F1 0.085 0.0855 0.0163 0.0165 0.0003 0.946 1.000 F2 0.907 0.9031 0.1182 0.1188 0.0140 0.947 1.000 Residual Variances EX1 0.207 0.2060 0.0171 0.0166 0.0003 0.937 1.000 EX2 0.203 0.2018 0.0176 0.0172 0.0003 0.949 1.000 EX3 0.553 0.5504 0.0451 0.0442 0.0020 0.942 1.000 EX4 0.298 0.2960 0.0238 0.0246 0.0006 0.962 1.000 IN1 0.945 0.9390 0.0879 0.0875 0.0078 0.950 1.000 IN2 0.860 0.8541 0.0669 0.0671 0.0045 0.941 1.000 IN3 0.865 0.8627 0.0749 0.0756 0.0056 0.952 1.000 IN4 0.631 0.6279 0.0513 0.0508 0.0026 0.942 1.000 Y 0.871 0.8587 0.0593 0.0598 0.0037 0.944 1.000 QUALITY OF NUMERICAL RESULTS Average Condition Number for the Information Matrix 0.647E-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 S Y ________ ________ ________ ________ EX1 0 0 0 0 EX2 9 0 0 0 EX3 10 0 0 0 EX4 11 0 0 0 IN1 0 0 0 0 IN2 0 12 0 0 IN3 0 13 0 0 IN4 0 14 0 0 Y 0 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 S Y ________ ________ ________ ________ 1 0 0 0 23 BETA F1 F2 S Y ________ ________ ________ ________ F1 0 0 0 0 F2 0 0 0 0 S 0 0 0 0 Y 24 25 26 0 PSI F1 F2 S Y ________ ________ ________ ________ F1 27 F2 28 29 S 0 0 0 Y 0 0 0 30 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 S Y ________ ________ ________ ________ EX1 1.000 0.000 0.000 0.000 EX2 1.086 0.000 0.000 0.000 EX3 1.624 0.000 0.000 0.000 EX4 1.262 0.000 0.000 0.000 IN1 0.000 1.000 0.000 0.000 IN2 0.000 0.747 0.000 0.000 IN3 0.000 0.888 0.000 0.000 IN4 0.000 0.675 0.000 0.000 Y 0.000 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 S Y ________ ________ ________ ________ 1 0.000 0.000 0.000 1.554 BETA F1 F2 S Y ________ ________ ________ ________ F1 0.000 0.000 0.000 0.000 F2 0.000 0.000 0.000 0.000 S 0.000 0.000 0.000 0.000 Y 1.074 0.109 0.624 0.000 PSI F1 F2 S Y ________ ________ ________ ________ F1 0.085 F2 0.093 0.907 S 0.000 0.000 0.000 Y 0.000 0.000 0.000 0.871 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\mvniparm1.dat Save file format Free DIAGRAM INFORMATION Mplus diagrams are currently not available for Monte Carlo analysis. No diagram output was produced. Beginning Time: 07:35:30 Ending Time: 08:25:41 Elapsed Time: 00:50:11 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