Mplus VERSION 7.1 MUTHEN & MUTHEN 09/21/2013 9:15 AM INPUT INSTRUCTIONS title: MVChi R data without interaction, interaction not analyzed; data: type=montecarlo; file="z:\mplus\mvchi\mvchilist.dat"; ! Data generated in "MVChi no 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; [y*1.554]; y*0.871; analysis: estimator= ml; !type = random; algorithm = integration; process = 8; output: tech4; savedata: results = "z:\mplus\mvchi\mvchiparm0.dat"; INPUT READING TERMINATED NORMALLY MVChi R 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\mvchi\mvchilist.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 1.147 1.124 1.395 1.204 2.288 Means IN2 IN3 IN4 Y ________ ________ ________ ________ 1 1.957 1.984 1.637 1.554 Covariances EX1 EX2 EX3 EX4 IN1 ________ ________ ________ ________ ________ EX1 0.293 EX2 0.092 0.305 EX3 0.138 0.149 0.778 EX4 0.107 0.117 0.174 0.433 IN1 0.093 0.101 0.150 0.117 1.859 IN2 0.071 0.075 0.115 0.087 0.682 IN3 0.082 0.089 0.133 0.105 0.807 IN4 0.063 0.069 0.101 0.080 0.618 Y 0.102 0.109 0.164 0.129 0.195 Covariances IN2 IN3 IN4 Y ________ ________ ________ ________ IN2 1.372 IN3 0.604 1.581 IN4 0.462 0.546 1.048 Y 0.146 0.173 0.132 0.997 Correlations EX1 EX2 EX3 EX4 IN1 ________ ________ ________ ________ ________ EX1 1.000 EX2 0.309 1.000 EX3 0.289 0.307 1.000 EX4 0.302 0.322 0.301 1.000 IN1 0.126 0.134 0.125 0.131 1.000 IN2 0.112 0.116 0.111 0.112 0.427 IN3 0.120 0.128 0.120 0.127 0.470 IN4 0.114 0.122 0.112 0.119 0.443 Y 0.188 0.198 0.187 0.196 0.143 Correlations IN2 IN3 IN4 Y ________ ________ ________ ________ IN2 1.000 IN3 0.410 1.000 IN4 0.385 0.425 1.000 Y 0.125 0.138 0.129 1.000 MODEL FIT INFORMATION Number of Free Parameters 29 Loglikelihood H0 Value Mean -5470.670 Std Dev 111.911 Number of successful computations 1000 Proportions Percentiles Expected Observed Expected Observed 0.990 0.992 -5731.009 -5725.846 0.980 0.981 -5700.502 -5699.791 0.950 0.952 -5654.753 -5652.957 0.900 0.898 -5614.096 -5617.635 0.800 0.792 -5564.855 -5567.798 0.700 0.698 -5529.357 -5530.085 0.500 0.505 -5470.670 -5469.788 0.300 0.295 -5411.984 -5413.583 0.200 0.198 -5376.486 -5377.452 0.100 0.103 -5327.245 -5325.880 0.050 0.045 -5286.588 -5293.412 0.020 0.022 -5240.839 -5237.959 0.010 0.013 -5210.332 -5195.148 Information Criteria Akaike (AIC) Mean 10999.341 Std Dev 223.822 Number of successful computations 1000 Proportions Percentiles Expected Observed Expected Observed 0.990 0.987 10478.663 10446.250 0.980 0.978 10539.677 10530.673 0.950 0.955 10631.176 10643.267 0.900 0.897 10712.490 10706.264 0.800 0.802 10810.972 10811.925 0.700 0.705 10881.969 10884.981 0.500 0.495 10999.341 10997.513 0.300 0.302 11116.713 11117.966 0.200 0.208 11187.710 11193.061 0.100 0.102 11286.191 11288.606 0.050 0.048 11367.506 11363.676 0.020 0.019 11459.005 11448.638 0.010 0.008 11520.019 11502.847 Bayesian (BIC) Mean 11121.565 Std Dev 223.822 Number of successful computations 1000 Proportions Percentiles Expected Observed Expected Observed 0.990 0.987 10600.887 10568.474 0.980 0.978 10661.901 10652.897 0.950 0.955 10753.399 10765.491 0.900 0.897 10834.714 10828.487 0.800 0.802 10933.196 10934.149 0.700 0.705 11004.192 11007.204 0.500 0.495 11121.565 11119.737 0.300 0.302 11238.937 11240.190 0.200 0.208 11309.933 11315.285 0.100 0.102 11408.415 11410.830 0.050 0.048 11489.730 11485.900 0.020 0.019 11581.228 11570.862 0.010 0.008 11642.242 11625.070 Sample-Size Adjusted BIC (n* = (n + 2) / 24) Mean 11029.517 Std Dev 223.822 Number of successful computations 1000 Proportions Percentiles Expected Observed Expected Observed 0.990 0.987 10508.839 10476.426 0.980 0.978 10569.853 10560.849 0.950 0.955 10661.352 10673.443 0.900 0.897 10742.666 10736.440 0.800 0.802 10841.148 10842.101 0.700 0.705 10912.144 10915.156 0.500 0.495 11029.517 11027.689 0.300 0.302 11146.889 11148.142 0.200 0.208 11217.886 11223.237 0.100 0.102 11316.367 11318.782 0.050 0.048 11397.682 11393.852 0.020 0.019 11489.180 11478.814 0.010 0.008 11550.194 11533.022 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 1.0945 0.1522 0.1477 0.0232 0.940 1.000 EX3 1.624 1.6363 0.2372 0.2270 0.0564 0.945 1.000 EX4 1.262 1.2775 0.1820 0.1740 0.0333 0.943 1.000 F2 BY IN1 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000 IN2 0.747 0.7508 0.0755 0.0714 0.0057 0.942 1.000 IN3 0.888 0.8873 0.0815 0.0795 0.0066 0.948 1.000 IN4 0.675 0.6798 0.0637 0.0630 0.0041 0.945 1.000 Y ON F1 1.074 1.0890 0.2368 0.2329 0.0562 0.948 0.998 F2 0.109 0.1036 0.0609 0.0590 0.0037 0.940 0.429 F1 WITH F2 0.093 0.0929 0.0248 0.0205 0.0006 0.893 1.000 Intercepts EX1 1.146 1.1470 0.0241 0.0241 0.0006 0.948 1.000 EX2 1.122 1.1235 0.0243 0.0246 0.0006 0.953 1.000 EX3 1.393 1.3945 0.0389 0.0393 0.0015 0.953 1.000 EX4 1.203 1.2035 0.0298 0.0293 0.0009 0.946 1.000 IN1 2.286 2.2880 0.0636 0.0608 0.0040 0.935 1.000 IN2 1.956 1.9571 0.0526 0.0522 0.0028 0.943 1.000 IN3 1.983 1.9839 0.0580 0.0561 0.0034 0.937 1.000 IN4 1.636 1.6373 0.0466 0.0456 0.0022 0.945 1.000 Y 1.554 1.5544 0.0433 0.0445 0.0019 0.952 1.000 Variances F1 0.085 0.0858 0.0213 0.0165 0.0005 0.888 1.000 F2 0.907 0.9141 0.1753 0.1194 0.0308 0.814 1.000 Residual Variances EX1 0.207 0.2066 0.0377 0.0167 0.0014 0.633 1.000 EX2 0.203 0.2039 0.0357 0.0174 0.0013 0.661 1.000 EX3 0.553 0.5511 0.0958 0.0442 0.0092 0.631 1.000 EX4 0.298 0.2945 0.0517 0.0246 0.0027 0.637 1.000 IN1 0.945 0.9413 0.1745 0.0877 0.0304 0.660 1.000 IN2 0.860 0.8569 0.1573 0.0674 0.0247 0.595 1.000 IN3 0.865 0.8629 0.1541 0.0752 0.0237 0.673 1.000 IN4 0.631 0.6259 0.1105 0.0507 0.0122 0.641 1.000 Y 0.871 0.8605 0.1394 0.0584 0.0195 0.583 1.000 QUALITY OF NUMERICAL RESULTS Average Condition Number for the Information Matrix 0.191E-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 1.554 Estimated Covariance Matrix for the Latent Variables F1 F2 Y ________ ________ ________ F1 0.086 F2 0.093 0.914 Y 0.101 0.195 0.995 Estimated Correlation Matrix for the Latent Variables F1 F2 Y ________ ________ ________ F1 1.000 F2 0.332 1.000 Y 0.346 0.204 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\mvchi\mvchiparm0.dat Save file format Free DIAGRAM INFORMATION Mplus diagrams are currently not available for Monte Carlo analysis. No diagram output was produced. Beginning Time: 09:15:50 Ending Time: 09:18:18 Elapsed Time: 00:02:28 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