Mplus VERSION 7.1 MUTHEN & MUTHEN 09/20/2013 2:14 PM INPUT INSTRUCTIONS title: MVN R data Data without interaction, interaction 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; savedata: results = "z:\mplus\mvn\mvnparm1.dat"; INPUT READING TERMINATED NORMALLY MVN R data Data without 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\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 30 Loglikelihood H0 Value Mean -5487.566 Std Dev 47.618 Number of successful computations 1000 Proportions Percentiles Expected Observed Expected Observed 0.990 0.992 -5598.339 -5594.426 0.980 0.981 -5585.359 -5585.244 0.950 0.949 -5565.893 -5567.286 0.900 0.896 -5548.593 -5549.897 0.800 0.807 -5527.641 -5527.084 0.700 0.698 -5512.537 -5513.036 0.500 0.491 -5487.566 -5489.361 0.300 0.293 -5462.595 -5463.384 0.200 0.208 -5447.491 -5445.941 0.100 0.103 -5426.539 -5425.662 0.050 0.045 -5409.239 -5410.804 0.020 0.022 -5389.773 -5387.164 0.010 0.013 -5376.793 -5374.223 Information Criteria Akaike (AIC) Mean 11035.132 Std Dev 95.236 Number of successful computations 1000 Proportions Percentiles Expected Observed Expected Observed 0.990 0.987 10813.585 10807.368 0.980 0.978 10839.546 10830.197 0.950 0.955 10878.479 10881.530 0.900 0.897 10913.078 10908.852 0.800 0.792 10954.982 10951.546 0.700 0.707 10985.190 10986.609 0.500 0.509 11035.132 11038.260 0.300 0.302 11085.073 11085.527 0.200 0.193 11115.282 11113.548 0.100 0.104 11157.186 11158.962 0.050 0.051 11191.785 11193.400 0.020 0.019 11230.717 11230.181 0.010 0.008 11256.679 11248.474 Bayesian (BIC) Mean 11161.570 Std Dev 95.236 Number of successful computations 1000 Proportions Percentiles Expected Observed Expected Observed 0.990 0.987 10940.023 10933.807 0.980 0.978 10965.985 10956.636 0.950 0.955 11004.917 11007.968 0.900 0.897 11039.516 11035.290 0.800 0.792 11081.420 11077.984 0.700 0.707 11111.629 11113.048 0.500 0.509 11161.570 11164.698 0.300 0.302 11211.512 11211.965 0.200 0.193 11241.720 11239.986 0.100 0.104 11283.624 11285.400 0.050 0.051 11318.223 11319.838 0.020 0.019 11357.156 11356.620 0.010 0.008 11383.117 11374.913 Sample-Size Adjusted BIC (n* = (n + 2) / 24) Mean 11066.348 Std Dev 95.236 Number of successful computations 1000 Proportions Percentiles Expected Observed Expected Observed 0.990 0.987 10844.801 10838.585 0.980 0.978 10870.763 10861.414 0.950 0.955 10909.695 10912.746 0.900 0.897 10944.294 10940.068 0.800 0.792 10986.198 10982.763 0.700 0.707 11016.407 11017.826 0.500 0.509 11066.348 11069.477 0.300 0.302 11116.290 11116.743 0.200 0.193 11146.499 11144.764 0.100 0.104 11188.402 11190.178 0.050 0.051 11223.001 11224.616 0.020 0.019 11261.934 11261.398 0.010 0.008 11287.895 11279.691 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 1.0967 0.1463 0.1460 0.0215 0.951 1.000 EX3 1.624 1.6363 0.2260 0.2242 0.0512 0.949 1.000 EX4 1.262 1.2725 0.1733 0.1713 0.0301 0.943 1.000 F2 BY IN1 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000 IN2 0.747 0.7493 0.0722 0.0712 0.0052 0.950 1.000 IN3 0.888 0.8935 0.0808 0.0798 0.0066 0.949 1.000 IN4 0.675 0.6781 0.0632 0.0630 0.0040 0.949 1.000 Y ON F1 1.074 1.0831 0.2332 0.2305 0.0544 0.952 0.999 F2 0.109 0.1120 0.0586 0.0590 0.0034 0.953 0.460 S 0.000 -0.0144 0.2092 0.2039 0.0439 0.948 0.052 F1 WITH F2 0.093 0.0925 0.0209 0.0205 0.0004 0.947 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 0.938 1.000 EX4 1.203 1.2027 0.0303 0.0294 0.0009 0.941 1.000 IN1 2.286 2.2861 0.0616 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 0.0534 0.0562 0.0029 0.960 1.000 IN4 1.636 1.6368 0.0466 0.0456 0.0022 0.940 1.000 Y 1.554 1.5582 0.0458 0.0483 0.0021 0.963 1.000 Variances F1 0.085 0.0855 0.0164 0.0166 0.0003 0.951 1.000 F2 0.907 0.9032 0.1187 0.1191 0.0141 0.952 1.000 Residual Variances EX1 0.207 0.2060 0.0172 0.0167 0.0003 0.935 1.000 EX2 0.203 0.2016 0.0177 0.0173 0.0003 0.947 1.000 EX3 0.553 0.5506 0.0451 0.0443 0.0020 0.944 1.000 EX4 0.298 0.2961 0.0240 0.0247 0.0006 0.960 1.000 IN1 0.945 0.9390 0.0883 0.0879 0.0078 0.946 1.000 IN2 0.860 0.8541 0.0671 0.0673 0.0045 0.939 1.000 IN3 0.865 0.8625 0.0754 0.0758 0.0057 0.947 1.000 IN4 0.631 0.6280 0.0513 0.0509 0.0026 0.941 1.000 Y 0.871 0.8578 0.0577 0.0585 0.0035 0.938 1.000 QUALITY OF NUMERICAL RESULTS Average Condition Number for the Information Matrix 0.677E-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 0.000 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\mvn\mvnparm1.dat Save file format Free DIAGRAM INFORMATION Mplus diagrams are currently not available for Monte Carlo analysis. No diagram output was produced. Beginning Time: 14:14:10 Ending Time: 14:38:38 Elapsed Time: 00:24:28 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