Mplus VERSION 5.1 MUTHEN & MUTHEN 05/01/2008 5:09 PM INPUT INSTRUCTIONS TITLE: this is an example of a Monte Carlo simulation study for a multiple-group EFA with continuous factor indicators with measurement invariance of intercepts and factor loadings MONTECARLO: NAMES ARE y1-y10; NOBSERVATIONS = 500 500; NREPS = 1; NGROUPS = 2; MODEL POPULATION: f1 BY y1-y5*.8 y6-y10*0; f2 BY y1-y5*0 y6-y10*.8; f1-f2@1; f1 WITH f2*.5; y1-y10*1; [y1-y10*1]; [f1-f2@0]; MODEL POPULATION-g2: f1*1.5 f2*2; f1 WITH f2*1; y1-y10*2; [f1*.5 f2*.8]; MODEL: f1 BY y1-y5*.8 y6-y10*0 (*1); f2 BY y1-y5*0 y6-y10*.8 (*1); f1-f2@1; f1 WITH f2*.5; y1-y10*1; [y1-y10*1]; [f1-f2@0]; MODEL g2: f1*1.5 f2*2; f1 WITH f2*1; y1-y10*2; [f1*.5 f2*.8]; OUTPUT: TECH9; *** WARNING in MODEL command Values given in the MODEL command for EFA factors are used only as population values in computing coverage. EFA factors cannot be given starting values. 1 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS this is an example of a Monte Carlo simulation study for a multiple-group EFA with continuous factor indicators with measurement invariance of intercepts and factor loadings SUMMARY OF ANALYSIS Number of groups 2 Number of observations Group G1 500 Group G2 500 Number of replications Requested 1 Completed 1 Value of seed 0 Number of dependent variables 10 Number of independent variables 0 Number of continuous latent variables 2 Observed dependent variables Continuous Y1 Y2 Y3 Y4 Y5 Y6 Y7 Y8 Y9 Y10 Continuous latent variables EFA factors *1: F1 F2 Estimator ML Rotation GEOMIN Row standardization COVARIANCE Type of rotation OBLIQUE Epsilon value Varies Information matrix OBSERVED Maximum number of iterations 1000 Convergence criterion 0.500D-04 Maximum number of steepest descent iterations 20 Optimization Specifications for the Exploratory Factor Analysis Rotation Algorithm Number of random starts 30 Maximum number of iterations 10000 Derivative convergence criterion 0.100D-04 SAMPLE STATISTICS FOR THE FIRST REPLICATION SAMPLE STATISTICS FOR G1 Means Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ 1 0.907 1.113 1.040 0.949 1.041 Means Y6 Y7 Y8 Y9 Y10 ________ ________ ________ ________ ________ 1 0.959 1.032 1.091 0.987 1.008 Covariances Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 1.624 Y2 0.739 1.644 Y3 0.642 0.681 1.533 Y4 0.673 0.710 0.714 1.741 Y5 0.671 0.822 0.734 0.781 1.735 Y6 0.310 0.230 0.316 0.311 0.381 Y7 0.375 0.348 0.257 0.378 0.296 Y8 0.367 0.278 0.382 0.387 0.471 Y9 0.255 0.315 0.406 0.325 0.363 Y10 0.237 0.167 0.300 0.264 0.206 Covariances Y6 Y7 Y8 Y9 Y10 ________ ________ ________ ________ ________ Y6 1.513 Y7 0.609 1.667 Y8 0.553 0.638 1.813 Y9 0.601 0.555 0.627 1.584 Y10 0.558 0.468 0.481 0.553 1.584 Correlations Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 1.000 Y2 0.452 1.000 Y3 0.407 0.429 1.000 Y4 0.400 0.420 0.437 1.000 Y5 0.400 0.487 0.450 0.449 1.000 Y6 0.198 0.146 0.208 0.192 0.235 Y7 0.228 0.210 0.161 0.222 0.174 Y8 0.214 0.161 0.229 0.218 0.265 Y9 0.159 0.195 0.260 0.196 0.219 Y10 0.148 0.103 0.193 0.159 0.124 Correlations Y6 Y7 Y8 Y9 Y10 ________ ________ ________ ________ ________ Y6 1.000 Y7 0.383 1.000 Y8 0.334 0.367 1.000 Y9 0.388 0.341 0.370 1.000 Y10 0.361 0.288 0.284 0.349 1.000 SAMPLE STATISTICS FOR G2 Means Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ 1 1.263 1.319 1.303 1.349 1.333 Means Y6 Y7 Y8 Y9 Y10 ________ ________ ________ ________ ________ 1 1.673 1.603 1.624 1.528 1.603 Covariances Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 2.969 Y2 0.964 2.811 Y3 0.798 0.944 3.107 Y4 0.937 0.887 0.907 3.083 Y5 0.851 0.869 0.972 0.970 2.998 Y6 0.675 0.603 0.571 0.710 0.701 Y7 0.451 0.544 0.380 0.801 0.445 Y8 0.713 0.620 0.737 0.737 0.601 Y9 0.569 0.774 0.414 0.672 0.564 Y10 0.657 0.853 0.538 0.723 0.493 Covariances Y6 Y7 Y8 Y9 Y10 ________ ________ ________ ________ ________ Y6 3.668 Y7 1.386 3.419 Y8 1.719 1.574 3.667 Y9 1.469 1.057 1.368 3.219 Y10 1.704 1.339 1.556 1.342 3.656 Correlations Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 1.000 Y2 0.334 1.000 Y3 0.263 0.320 1.000 Y4 0.310 0.301 0.293 1.000 Y5 0.285 0.300 0.319 0.319 1.000 Y6 0.204 0.188 0.169 0.211 0.211 Y7 0.142 0.175 0.117 0.247 0.139 Y8 0.216 0.193 0.218 0.219 0.181 Y9 0.184 0.257 0.131 0.213 0.182 Y10 0.200 0.266 0.160 0.215 0.149 Correlations Y6 Y7 Y8 Y9 Y10 ________ ________ ________ ________ ________ Y6 1.000 Y7 0.391 1.000 Y8 0.469 0.445 1.000 Y9 0.428 0.319 0.398 1.000 Y10 0.465 0.379 0.425 0.391 1.000 TESTS OF MODEL FIT Number of Free Parameters 54 Chi-Square Test of Model Fit Degrees of freedom 76 Mean 82.326 Std Dev 0.000 Number of successful computations 1 Proportions Percentiles Expected Observed Expected Observed 0.990 1.000 50.286 82.326 0.980 1.000 52.872 82.326 0.950 1.000 56.920 82.326 0.900 1.000 60.690 82.326 0.800 1.000 65.478 82.326 0.700 1.000 69.084 82.326 0.500 1.000 75.334 82.326 0.300 1.000 81.951 82.326 0.200 0.000 86.135 82.326 0.100 0.000 92.166 82.326 0.050 0.000 97.351 82.326 0.020 0.000 103.410 82.326 0.010 0.000 107.583 82.326 Loglikelihood H0 Value Mean -17309.844 Std Dev 0.000 Number of successful computations 1 Proportions Percentiles Expected Observed Expected Observed 0.990 0.000 -17309.844 -17309.844 0.980 0.000 -17309.844 -17309.844 0.950 0.000 -17309.844 -17309.844 0.900 0.000 -17309.844 -17309.844 0.800 0.000 -17309.844 -17309.844 0.700 0.000 -17309.844 -17309.844 0.500 0.000 -17309.844 -17309.844 0.300 0.000 -17309.844 -17309.844 0.200 0.000 -17309.844 -17309.844 0.100 0.000 -17309.844 -17309.844 0.050 0.000 -17309.844 -17309.844 0.020 0.000 -17309.844 -17309.844 0.010 0.000 -17309.844 -17309.844 H1 Value Mean -17268.681 Std Dev 0.000 Number of successful computations 1 Proportions Percentiles Expected Observed Expected Observed 0.990 0.000 -17268.681 -17268.681 0.980 0.000 -17268.681 -17268.681 0.950 0.000 -17268.681 -17268.681 0.900 0.000 -17268.681 -17268.681 0.800 0.000 -17268.681 -17268.681 0.700 0.000 -17268.681 -17268.681 0.500 0.000 -17268.681 -17268.681 0.300 0.000 -17268.681 -17268.681 0.200 0.000 -17268.681 -17268.681 0.100 0.000 -17268.681 -17268.681 0.050 0.000 -17268.681 -17268.681 0.020 0.000 -17268.681 -17268.681 0.010 0.000 -17268.681 -17268.681 Information Criteria Akaike (AIC) Mean 34727.688 Std Dev 0.000 Number of successful computations 1 Proportions Percentiles Expected Observed Expected Observed 0.990 0.000 34727.688 34727.688 0.980 0.000 34727.688 34727.688 0.950 0.000 34727.688 34727.688 0.900 0.000 34727.688 34727.688 0.800 0.000 34727.688 34727.688 0.700 0.000 34727.688 34727.688 0.500 0.000 34727.688 34727.688 0.300 0.000 34727.688 34727.688 0.200 0.000 34727.688 34727.688 0.100 0.000 34727.688 34727.688 0.050 0.000 34727.688 34727.688 0.020 0.000 34727.688 34727.688 0.010 0.000 34727.688 34727.688 Bayesian (BIC) Mean 34992.707 Std Dev 0.000 Number of successful computations 1 Proportions Percentiles Expected Observed Expected Observed 0.990 0.000 34992.707 34992.707 0.980 0.000 34992.707 34992.707 0.950 0.000 34992.707 34992.707 0.900 0.000 34992.707 34992.707 0.800 0.000 34992.707 34992.707 0.700 0.000 34992.707 34992.707 0.500 0.000 34992.707 34992.707 0.300 0.000 34992.707 34992.707 0.200 0.000 34992.707 34992.707 0.100 0.000 34992.707 34992.707 0.050 0.000 34992.707 34992.707 0.020 0.000 34992.707 34992.707 0.010 0.000 34992.707 34992.707 Sample-Size Adjusted BIC (n* = (n + 2) / 24) Mean 34821.200 Std Dev 0.000 Number of successful computations 1 Proportions Percentiles Expected Observed Expected Observed 0.990 0.000 34821.200 34821.200 0.980 0.000 34821.200 34821.200 0.950 0.000 34821.200 34821.200 0.900 0.000 34821.200 34821.200 0.800 0.000 34821.200 34821.200 0.700 0.000 34821.200 34821.200 0.500 0.000 34821.200 34821.200 0.300 0.000 34821.200 34821.200 0.200 0.000 34821.200 34821.200 0.100 0.000 34821.200 34821.200 0.050 0.000 34821.200 34821.200 0.020 0.000 34821.200 34821.200 0.010 0.000 34821.200 34821.200 RMSEA (Root Mean Square Error Of Approximation) Mean 0.013 Std Dev 0.000 Number of successful computations 1 Proportions Percentiles Expected Observed Expected Observed 0.990 0.000 0.013 0.013 0.980 0.000 0.013 0.013 0.950 0.000 0.013 0.013 0.900 0.000 0.013 0.013 0.800 0.000 0.013 0.013 0.700 0.000 0.013 0.013 0.500 0.000 0.013 0.013 0.300 0.000 0.013 0.013 0.200 0.000 0.013 0.013 0.100 0.000 0.013 0.013 0.050 0.000 0.013 0.013 0.020 0.000 0.013 0.013 0.010 0.000 0.013 0.013 SRMR (Standardized Root Mean Square Residual) Mean 0.286 Std Dev 0.000 Number of successful computations 1 Proportions Percentiles Expected Observed Expected Observed 0.990 0.000 0.286 0.286 0.980 0.000 0.286 0.286 0.950 0.000 0.286 0.286 0.900 0.000 0.286 0.286 0.800 0.000 0.286 0.286 0.700 0.000 0.286 0.286 0.500 0.000 0.286 0.286 0.300 0.000 0.286 0.286 0.200 0.000 0.286 0.286 0.100 0.000 0.286 0.286 0.050 0.000 0.286 0.286 0.020 0.000 0.286 0.286 0.010 0.000 0.286 0.286 MODEL RESULTS ESTIMATES S. E. M. S. E. 95% % Sig Population Average Std. Dev. Average Cover Coeff Group G1 F1 BY Y1 0.800 0.7863 0.0000 0.0619 0.0002 1.000 1.000 Y2 0.800 0.8910 0.0000 0.0626 0.0083 1.000 1.000 Y3 0.800 0.8152 0.0000 0.0525 0.0002 1.000 1.000 Y4 0.800 0.8234 0.0000 0.0633 0.0005 1.000 1.000 Y5 0.800 0.8998 0.0000 0.0604 0.0100 1.000 1.000 Y6 0.000 -0.0408 0.0000 0.0683 0.0017 1.000 0.000 Y7 0.000 0.0112 0.0000 0.0156 0.0001 1.000 0.000 Y8 0.000 0.0593 0.0000 0.0743 0.0035 1.000 0.000 Y9 0.000 0.0533 0.0000 0.0699 0.0028 1.000 0.000 Y10 0.000 -0.0518 0.0000 0.0694 0.0027 1.000 0.000 F2 BY Y1 0.000 0.0359 0.0000 0.0514 0.0013 1.000 0.000 Y2 0.000 -0.0366 0.0000 0.0510 0.0013 1.000 0.000 Y3 0.000 0.0051 0.0000 0.0170 0.0000 1.000 0.000 Y4 0.000 0.0657 0.0000 0.0524 0.0043 1.000 0.000 Y5 0.000 -0.0141 0.0000 0.0427 0.0002 1.000 0.000 Y6 0.800 0.8371 0.0000 0.0570 0.0014 1.000 1.000 Y7 0.800 0.7014 0.0000 0.0470 0.0097 0.000 1.000 Y8 0.800 0.7527 0.0000 0.0602 0.0022 1.000 1.000 Y9 0.800 0.6784 0.0000 0.0572 0.0148 0.000 1.000 Y10 0.800 0.7553 0.0000 0.0564 0.0020 1.000 1.000 F1 WITH F2 0.500 0.4830 0.0000 0.0680 0.0003 1.000 1.000 Means F1 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000 F2 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000 Intercepts Y1 1.000 0.9253 0.0000 0.0530 0.0056 1.000 1.000 Y2 1.000 1.0906 0.0000 0.0539 0.0082 1.000 1.000 Y3 1.000 1.0342 0.0000 0.0522 0.0012 1.000 1.000 Y4 1.000 0.9705 0.0000 0.0550 0.0009 1.000 1.000 Y5 1.000 1.0399 0.0000 0.0551 0.0016 1.000 1.000 Y6 1.000 0.9779 0.0000 0.0525 0.0005 1.000 1.000 Y7 1.000 1.0346 0.0000 0.0518 0.0012 1.000 1.000 Y8 1.000 1.0577 0.0000 0.0548 0.0033 1.000 1.000 Y9 1.000 0.9811 0.0000 0.0504 0.0004 1.000 1.000 Y10 1.000 1.0115 0.0000 0.0524 0.0001 1.000 1.000 Variances F1 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000 F2 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000 Residual Variances Y1 1.000 0.9941 0.0000 0.0744 0.0000 1.000 1.000 Y2 1.000 0.8780 0.0000 0.0730 0.0149 1.000 1.000 Y3 1.000 0.8692 0.0000 0.0677 0.0171 1.000 1.000 Y4 1.000 1.0219 0.0000 0.0777 0.0005 1.000 1.000 Y5 1.000 0.9144 0.0000 0.0747 0.0073 1.000 1.000 Y6 1.000 0.8766 0.0000 0.0737 0.0152 1.000 1.000 Y7 1.000 1.1186 0.0000 0.0825 0.0141 1.000 1.000 Y8 1.000 1.2140 0.0000 0.0896 0.0458 0.000 1.000 Y9 1.000 1.0235 0.0000 0.0763 0.0006 1.000 1.000 Y10 1.000 1.1032 0.0000 0.0829 0.0107 1.000 1.000 Group G2 F1 BY Y1 0.800 0.7863 0.0000 0.0619 0.0002 1.000 1.000 Y2 0.800 0.8910 0.0000 0.0626 0.0083 1.000 1.000 Y3 0.800 0.8152 0.0000 0.0525 0.0002 1.000 1.000 Y4 0.800 0.8234 0.0000 0.0633 0.0005 1.000 1.000 Y5 0.800 0.8998 0.0000 0.0604 0.0100 1.000 1.000 Y6 0.000 -0.0408 0.0000 0.0683 0.0017 1.000 0.000 Y7 0.000 0.0112 0.0000 0.0156 0.0001 1.000 0.000 Y8 0.000 0.0593 0.0000 0.0743 0.0035 1.000 0.000 Y9 0.000 0.0533 0.0000 0.0699 0.0028 1.000 0.000 Y10 0.000 -0.0518 0.0000 0.0694 0.0027 1.000 0.000 F2 BY Y1 0.000 0.0359 0.0000 0.0514 0.0013 1.000 0.000 Y2 0.000 -0.0366 0.0000 0.0510 0.0013 1.000 0.000 Y3 0.000 0.0051 0.0000 0.0170 0.0000 1.000 0.000 Y4 0.000 0.0657 0.0000 0.0524 0.0043 1.000 0.000 Y5 0.000 -0.0141 0.0000 0.0427 0.0002 1.000 0.000 Y6 0.800 0.8371 0.0000 0.0570 0.0014 1.000 1.000 Y7 0.800 0.7014 0.0000 0.0470 0.0097 0.000 1.000 Y8 0.800 0.7527 0.0000 0.0602 0.0022 1.000 1.000 Y9 0.800 0.6784 0.0000 0.0572 0.0148 0.000 1.000 Y10 0.800 0.7553 0.0000 0.0564 0.0020 1.000 1.000 F1 WITH F2 1.000 0.9534 0.0000 0.1548 0.0022 1.000 1.000 Means F1 0.500 0.3422 0.0000 0.0822 0.0249 1.000 1.000 F2 0.800 0.7982 0.0000 0.1034 0.0000 1.000 1.000 Intercepts Y1 1.000 0.9253 0.0000 0.0530 0.0056 1.000 1.000 Y2 1.000 1.0906 0.0000 0.0539 0.0082 1.000 1.000 Y3 1.000 1.0342 0.0000 0.0522 0.0012 1.000 1.000 Y4 1.000 0.9705 0.0000 0.0550 0.0009 1.000 1.000 Y5 1.000 1.0399 0.0000 0.0551 0.0016 1.000 1.000 Y6 1.000 0.9779 0.0000 0.0525 0.0005 1.000 1.000 Y7 1.000 1.0346 0.0000 0.0518 0.0012 1.000 1.000 Y8 1.000 1.0577 0.0000 0.0548 0.0033 1.000 1.000 Y9 1.000 0.9811 0.0000 0.0504 0.0004 1.000 1.000 Y10 1.000 1.0115 0.0000 0.0524 0.0001 1.000 1.000 Variances F1 1.500 1.2462 0.0000 0.1552 0.0644 1.000 1.000 F2 2.000 2.6125 0.0000 0.3157 0.3752 1.000 1.000 Residual Variances Y1 2.000 2.1312 0.0000 0.1552 0.0172 1.000 1.000 Y2 2.000 1.8617 0.0000 0.1448 0.0191 1.000 1.000 Y3 2.000 2.2512 0.0000 0.1646 0.0631 1.000 1.000 Y4 2.000 2.1241 0.0000 0.1572 0.0154 1.000 1.000 Y5 2.000 2.0625 0.0000 0.1579 0.0039 1.000 1.000 Y6 2.000 1.8857 0.0000 0.1595 0.0131 1.000 1.000 Y7 2.000 2.2221 0.0000 0.1643 0.0494 1.000 1.000 Y8 2.000 2.0111 0.0000 0.1588 0.0001 1.000 1.000 Y9 2.000 2.0552 0.0000 0.1513 0.0030 1.000 1.000 Y10 2.000 2.1383 0.0000 0.1650 0.0191 1.000 1.000 TECHNICAL OUTPUT TECHNICAL 1 OUTPUT FOR THE UNROTATED SOLUTION PARAMETER SPECIFICATION FOR G1 NU Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ 1 1 2 3 4 5 NU Y6 Y7 Y8 Y9 Y10 ________ ________ ________ ________ ________ 1 6 7 8 9 10 LAMBDA F1 F2 ________ ________ Y1 11 0 Y2 12 13 Y3 14 15 Y4 16 17 Y5 18 19 Y6 20 21 Y7 22 23 Y8 24 25 Y9 26 27 Y10 28 29 THETA Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 30 Y2 0 31 Y3 0 0 32 Y4 0 0 0 33 Y5 0 0 0 0 34 Y6 0 0 0 0 0 Y7 0 0 0 0 0 Y8 0 0 0 0 0 Y9 0 0 0 0 0 Y10 0 0 0 0 0 THETA Y6 Y7 Y8 Y9 Y10 ________ ________ ________ ________ ________ Y6 35 Y7 0 36 Y8 0 0 37 Y9 0 0 0 38 Y10 0 0 0 0 39 ALPHA F1 F2 ________ ________ 1 0 0 BETA F1 F2 ________ ________ F1 0 0 F2 0 0 PSI F1 F2 ________ ________ F1 0 F2 0 0 PARAMETER SPECIFICATION FOR G2 NU Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ 1 1 2 3 4 5 NU Y6 Y7 Y8 Y9 Y10 ________ ________ ________ ________ ________ 1 6 7 8 9 10 LAMBDA F1 F2 ________ ________ Y1 11 0 Y2 12 13 Y3 14 15 Y4 16 17 Y5 18 19 Y6 20 21 Y7 22 23 Y8 24 25 Y9 26 27 Y10 28 29 THETA Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 40 Y2 0 41 Y3 0 0 42 Y4 0 0 0 43 Y5 0 0 0 0 44 Y6 0 0 0 0 0 Y7 0 0 0 0 0 Y8 0 0 0 0 0 Y9 0 0 0 0 0 Y10 0 0 0 0 0 THETA Y6 Y7 Y8 Y9 Y10 ________ ________ ________ ________ ________ Y6 45 Y7 0 46 Y8 0 0 47 Y9 0 0 0 48 Y10 0 0 0 0 49 ALPHA F1 F2 ________ ________ 1 50 51 BETA F1 F2 ________ ________ F1 0 0 F2 0 0 PSI F1 F2 ________ ________ F1 52 F2 53 54 STARTING VALUES FOR G1 NU Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ 1 1.000 1.000 1.000 1.000 1.000 NU Y6 Y7 Y8 Y9 Y10 ________ ________ ________ ________ ________ 1 1.000 1.000 1.000 1.000 1.000 LAMBDA F1 F2 ________ ________ Y1 1.000 0.000 Y2 1.000 1.000 Y3 1.000 1.000 Y4 1.000 1.000 Y5 1.000 1.000 Y6 1.000 1.000 Y7 1.000 1.000 Y8 1.000 1.000 Y9 1.000 1.000 Y10 1.000 1.000 THETA Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 1.000 Y2 0.000 1.000 Y3 0.000 0.000 1.000 Y4 0.000 0.000 0.000 1.000 Y5 0.000 0.000 0.000 0.000 1.000 Y6 0.000 0.000 0.000 0.000 0.000 Y7 0.000 0.000 0.000 0.000 0.000 Y8 0.000 0.000 0.000 0.000 0.000 Y9 0.000 0.000 0.000 0.000 0.000 Y10 0.000 0.000 0.000 0.000 0.000 THETA Y6 Y7 Y8 Y9 Y10 ________ ________ ________ ________ ________ Y6 1.000 Y7 0.000 1.000 Y8 0.000 0.000 1.000 Y9 0.000 0.000 0.000 1.000 Y10 0.000 0.000 0.000 0.000 1.000 ALPHA F1 F2 ________ ________ 1 0.000 0.000 BETA F1 F2 ________ ________ F1 0.000 0.000 F2 0.000 0.000 PSI F1 F2 ________ ________ F1 1.000 F2 0.000 1.000 STARTING VALUES FOR G2 NU Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ 1 1.000 1.000 1.000 1.000 1.000 NU Y6 Y7 Y8 Y9 Y10 ________ ________ ________ ________ ________ 1 1.000 1.000 1.000 1.000 1.000 LAMBDA F1 F2 ________ ________ Y1 1.000 0.000 Y2 1.000 1.000 Y3 1.000 1.000 Y4 1.000 1.000 Y5 1.000 1.000 Y6 1.000 1.000 Y7 1.000 1.000 Y8 1.000 1.000 Y9 1.000 1.000 Y10 1.000 1.000 THETA Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 2.000 Y2 0.000 2.000 Y3 0.000 0.000 2.000 Y4 0.000 0.000 0.000 2.000 Y5 0.000 0.000 0.000 0.000 2.000 Y6 0.000 0.000 0.000 0.000 0.000 Y7 0.000 0.000 0.000 0.000 0.000 Y8 0.000 0.000 0.000 0.000 0.000 Y9 0.000 0.000 0.000 0.000 0.000 Y10 0.000 0.000 0.000 0.000 0.000 THETA Y6 Y7 Y8 Y9 Y10 ________ ________ ________ ________ ________ Y6 2.000 Y7 0.000 2.000 Y8 0.000 0.000 2.000 Y9 0.000 0.000 0.000 2.000 Y10 0.000 0.000 0.000 0.000 2.000 ALPHA F1 F2 ________ ________ 1 0.000 0.000 BETA F1 F2 ________ ________ F1 0.000 0.000 F2 0.000 0.000 PSI F1 F2 ________ ________ F1 0.000 F2 0.000 0.000 TECHNICAL 1 OUTPUT FOR THE ROTATED SOLUTION PARAMETER SPECIFICATION FOR G1 NU Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ 1 1 2 3 4 5 NU Y6 Y7 Y8 Y9 Y10 ________ ________ ________ ________ ________ 1 6 7 8 9 10 LAMBDA F1 F2 ________ ________ Y1 11 12 Y2 13 14 Y3 15 16 Y4 17 18 Y5 19 20 Y6 21 22 Y7 23 24 Y8 25 26 Y9 27 28 Y10 29 30 THETA Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 31 Y2 0 32 Y3 0 0 33 Y4 0 0 0 34 Y5 0 0 0 0 35 Y6 0 0 0 0 0 Y7 0 0 0 0 0 Y8 0 0 0 0 0 Y9 0 0 0 0 0 Y10 0 0 0 0 0 THETA Y6 Y7 Y8 Y9 Y10 ________ ________ ________ ________ ________ Y6 36 Y7 0 37 Y8 0 0 38 Y9 0 0 0 39 Y10 0 0 0 0 40 ALPHA F1 F2 ________ ________ 1 0 0 BETA F1 F2 ________ ________ F1 0 0 F2 0 0 PSI F1 F2 ________ ________ F1 0 F2 41 0 PARAMETER SPECIFICATION FOR G2 NU Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ 1 1 2 3 4 5 NU Y6 Y7 Y8 Y9 Y10 ________ ________ ________ ________ ________ 1 6 7 8 9 10 LAMBDA F1 F2 ________ ________ Y1 11 12 Y2 13 14 Y3 15 16 Y4 17 18 Y5 19 20 Y6 21 22 Y7 23 24 Y8 25 26 Y9 27 28 Y10 29 30 THETA Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 42 Y2 0 43 Y3 0 0 44 Y4 0 0 0 45 Y5 0 0 0 0 46 Y6 0 0 0 0 0 Y7 0 0 0 0 0 Y8 0 0 0 0 0 Y9 0 0 0 0 0 Y10 0 0 0 0 0 THETA Y6 Y7 Y8 Y9 Y10 ________ ________ ________ ________ ________ Y6 47 Y7 0 48 Y8 0 0 49 Y9 0 0 0 50 Y10 0 0 0 0 51 ALPHA F1 F2 ________ ________ 1 52 53 BETA F1 F2 ________ ________ F1 0 0 F2 0 0 PSI F1 F2 ________ ________ F1 54 F2 55 56 STARTING VALUES FOR G1 NU Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ 1 1.000 1.000 1.000 1.000 1.000 NU Y6 Y7 Y8 Y9 Y10 ________ ________ ________ ________ ________ 1 1.000 1.000 1.000 1.000 1.000 LAMBDA F1 F2 ________ ________ Y1 0.000 0.000 Y2 0.000 0.000 Y3 0.000 0.000 Y4 0.000 0.000 Y5 0.000 0.000 Y6 0.000 0.000 Y7 0.000 0.000 Y8 0.000 0.000 Y9 0.000 0.000 Y10 0.000 0.000 THETA Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 1.000 Y2 0.000 1.000 Y3 0.000 0.000 1.000 Y4 0.000 0.000 0.000 1.000 Y5 0.000 0.000 0.000 0.000 1.000 Y6 0.000 0.000 0.000 0.000 0.000 Y7 0.000 0.000 0.000 0.000 0.000 Y8 0.000 0.000 0.000 0.000 0.000 Y9 0.000 0.000 0.000 0.000 0.000 Y10 0.000 0.000 0.000 0.000 0.000 THETA Y6 Y7 Y8 Y9 Y10 ________ ________ ________ ________ ________ Y6 1.000 Y7 0.000 1.000 Y8 0.000 0.000 1.000 Y9 0.000 0.000 0.000 1.000 Y10 0.000 0.000 0.000 0.000 1.000 ALPHA F1 F2 ________ ________ 1 0.000 0.000 BETA F1 F2 ________ ________ F1 0.000 0.000 F2 0.000 0.000 PSI F1 F2 ________ ________ F1 1.000 F2 0.000 1.000 STARTING VALUES FOR G2 NU Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ 1 1.000 1.000 1.000 1.000 1.000 NU Y6 Y7 Y8 Y9 Y10 ________ ________ ________ ________ ________ 1 1.000 1.000 1.000 1.000 1.000 LAMBDA F1 F2 ________ ________ Y1 0.000 0.000 Y2 0.000 0.000 Y3 0.000 0.000 Y4 0.000 0.000 Y5 0.000 0.000 Y6 0.000 0.000 Y7 0.000 0.000 Y8 0.000 0.000 Y9 0.000 0.000 Y10 0.000 0.000 THETA Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 2.000 Y2 0.000 2.000 Y3 0.000 0.000 2.000 Y4 0.000 0.000 0.000 2.000 Y5 0.000 0.000 0.000 0.000 2.000 Y6 0.000 0.000 0.000 0.000 0.000 Y7 0.000 0.000 0.000 0.000 0.000 Y8 0.000 0.000 0.000 0.000 0.000 Y9 0.000 0.000 0.000 0.000 0.000 Y10 0.000 0.000 0.000 0.000 0.000 THETA Y6 Y7 Y8 Y9 Y10 ________ ________ ________ ________ ________ Y6 2.000 Y7 0.000 2.000 Y8 0.000 0.000 2.000 Y9 0.000 0.000 0.000 2.000 Y10 0.000 0.000 0.000 0.000 2.000 ALPHA F1 F2 ________ ________ 1 0.000 0.000 BETA F1 F2 ________ ________ F1 0.000 0.000 F2 0.000 0.000 PSI F1 F2 ________ ________ F1 0.000 F2 0.000 0.000 POPULATION VALUES FOR G1 NU Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ 1 1.000 1.000 1.000 1.000 1.000 NU Y6 Y7 Y8 Y9 Y10 ________ ________ ________ ________ ________ 1 1.000 1.000 1.000 1.000 1.000 LAMBDA F1 F2 ________ ________ Y1 0.800 0.000 Y2 0.800 0.000 Y3 0.800 0.000 Y4 0.800 0.000 Y5 0.800 0.000 Y6 0.000 0.800 Y7 0.000 0.800 Y8 0.000 0.800 Y9 0.000 0.800 Y10 0.000 0.800 THETA Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 1.000 Y2 0.000 1.000 Y3 0.000 0.000 1.000 Y4 0.000 0.000 0.000 1.000 Y5 0.000 0.000 0.000 0.000 1.000 Y6 0.000 0.000 0.000 0.000 0.000 Y7 0.000 0.000 0.000 0.000 0.000 Y8 0.000 0.000 0.000 0.000 0.000 Y9 0.000 0.000 0.000 0.000 0.000 Y10 0.000 0.000 0.000 0.000 0.000 THETA Y6 Y7 Y8 Y9 Y10 ________ ________ ________ ________ ________ Y6 1.000 Y7 0.000 1.000 Y8 0.000 0.000 1.000 Y9 0.000 0.000 0.000 1.000 Y10 0.000 0.000 0.000 0.000 1.000 ALPHA F1 F2 ________ ________ 1 0.000 0.000 BETA F1 F2 ________ ________ F1 0.000 0.000 F2 0.000 0.000 PSI F1 F2 ________ ________ F1 1.000 F2 0.500 1.000 POPULATION VALUES FOR G2 NU Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ 1 1.000 1.000 1.000 1.000 1.000 NU Y6 Y7 Y8 Y9 Y10 ________ ________ ________ ________ ________ 1 1.000 1.000 1.000 1.000 1.000 LAMBDA F1 F2 ________ ________ Y1 0.800 0.000 Y2 0.800 0.000 Y3 0.800 0.000 Y4 0.800 0.000 Y5 0.800 0.000 Y6 0.000 0.800 Y7 0.000 0.800 Y8 0.000 0.800 Y9 0.000 0.800 Y10 0.000 0.800 THETA Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 2.000 Y2 0.000 2.000 Y3 0.000 0.000 2.000 Y4 0.000 0.000 0.000 2.000 Y5 0.000 0.000 0.000 0.000 2.000 Y6 0.000 0.000 0.000 0.000 0.000 Y7 0.000 0.000 0.000 0.000 0.000 Y8 0.000 0.000 0.000 0.000 0.000 Y9 0.000 0.000 0.000 0.000 0.000 Y10 0.000 0.000 0.000 0.000 0.000 THETA Y6 Y7 Y8 Y9 Y10 ________ ________ ________ ________ ________ Y6 2.000 Y7 0.000 2.000 Y8 0.000 0.000 2.000 Y9 0.000 0.000 0.000 2.000 Y10 0.000 0.000 0.000 0.000 2.000 ALPHA F1 F2 ________ ________ 1 0.500 0.800 BETA F1 F2 ________ ________ F1 0.000 0.000 F2 0.000 0.000 PSI F1 F2 ________ ________ F1 1.500 F2 1.000 2.000 TECHNICAL 9 OUTPUT Error messages for each replication (if any) Beginning Time: 17:09:16 Ending Time: 17:09:16 Elapsed Time: 00:00:00 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) 1998-2008 Muthen & Muthen