Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 11:06 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] (1-10);
[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
Total sample size 1000
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
________ ________ ________ ________ ________
0.907 1.113 1.040 0.949 1.041
Means
Y6 Y7 Y8 Y9 Y10
________ ________ ________ ________ ________
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
________ ________ ________ ________ ________
1.263 1.319 1.303 1.349 1.333
Means
Y6 Y7 Y8 Y9 Y10
________ ________ ________ ________ ________
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
MODEL FIT INFORMATION
Number of Free Parameters 54
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
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
RMSEA (Root Mean Square Error Of Approximation)
Mean 0.013
Std Dev 0.000
Number of successful computations 1
Cumulative Distribution Function
Value Function Value
0.990 1.000
0.980 1.000
0.950 1.000
0.900 1.000
0.800 1.000
0.700 1.000
0.500 1.000
0.300 1.000
0.200 1.000
0.100 1.000
0.050 1.000
0.020 1.000
0.010 0.000
CFI/TLI
CFI
Mean 0.997
Std Dev 0.000
Number of successful computations 1
Cumulative Distribution Function
Value Function Value
0.990 0.000
0.980 0.000
0.950 0.000
0.900 0.000
0.800 0.000
0.700 0.000
0.500 0.000
0.300 0.000
0.200 0.000
0.100 0.000
0.050 0.000
0.020 0.000
0.010 0.000
TLI
Mean 0.996
Std Dev 0.000
Number of successful computations 1
Cumulative Distribution Function
Value Function Value
0.990 0.000
0.980 0.000
0.950 0.000
0.900 0.000
0.800 0.000
0.700 0.000
0.500 0.000
0.300 0.000
0.200 0.000
0.100 0.000
0.050 0.000
0.020 0.000
0.010 0.000
SRMR (Standardized Root Mean Square Residual)
Mean 0.286
Std Dev 0.000
Number of successful computations 1
Cumulative Distribution Function
Value Function Value
0.990 1.000
0.980 1.000
0.950 1.000
0.900 1.000
0.800 1.000
0.700 1.000
0.500 1.000
0.300 1.000
0.200 0.000
0.100 0.000
0.050 0.000
0.020 0.000
0.010 0.000
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 0.8233 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 0.0534 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 1.0220 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 1.1187 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 0.8233 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 0.0534 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 0.3421 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 1.2463 0.0000 0.1552 0.0644 1.000 1.000
F2 2.000 2.6124 0.0000 0.3157 0.3750 1.000 1.000
Residual Variances
Y1 2.000 2.1312 0.0000 0.1552 0.0172 1.000 1.000
Y2 2.000 1.8618 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 2.2222 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 2.1384 0.0000 0.1651 0.0191 1.000 1.000
QUALITY OF NUMERICAL RESULTS
Average Condition Number for the Information Matrix 0.266E-01
(ratio of smallest to largest eigenvalue)
TECHNICAL OUTPUT
TECHNICAL 1 OUTPUT FOR THE UNROTATED SOLUTION
PARAMETER SPECIFICATION FOR G1
NU
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
1 2 3 4 5
NU
Y6 Y7 Y8 Y9 Y10
________ ________ ________ ________ ________
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
________ ________
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 2 3 4 5
NU
Y6 Y7 Y8 Y9 Y10
________ ________ ________ ________ ________
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
________ ________
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
________ ________ ________ ________ ________
1.000 1.000 1.000 1.000 1.000
NU
Y6 Y7 Y8 Y9 Y10
________ ________ ________ ________ ________
1.000 1.000 1.000 1.000 1.000
LAMBDA
F1 F2
________ ________
Y1 0.793 0.000
Y2 0.883 0.112
Y3 0.805 -0.039
Y4 0.847 -0.011
Y5 0.908 0.008
Y6 0.375 -0.686
Y7 0.402 -0.629
Y8 0.455 -0.626
Y9 0.407 -0.667
Y10 0.283 -0.622
THETA
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
Y1 0.996
Y2 0.000 0.852
Y3 0.000 0.000 0.884
Y4 0.000 0.000 0.000 1.024
Y5 0.000 0.000 0.000 0.000 0.910
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 0.901
Y7 0.000 1.111
Y8 0.000 0.000 1.214
Y9 0.000 0.000 0.000 0.973
Y10 0.000 0.000 0.000 0.000 1.118
ALPHA
F1 F2
________ ________
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
________ ________ ________ ________ ________
1.000 1.000 1.000 1.000 1.000
NU
Y6 Y7 Y8 Y9 Y10
________ ________ ________ ________ ________
1.000 1.000 1.000 1.000 1.000
LAMBDA
F1 F2
________ ________
Y1 0.924 0.000
Y2 0.969 0.016
Y3 0.948 -0.099
Y4 0.973 0.067
Y5 0.956 -0.077
Y6 0.706 1.129
Y7 0.564 0.937
Y8 0.730 1.084
Y9 0.648 0.843
Y10 0.706 1.022
THETA
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
Y1 2.115
Y2 0.000 1.871
Y3 0.000 0.000 2.198
Y4 0.000 0.000 0.000 2.131
Y5 0.000 0.000 0.000 0.000 2.077
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 1.894
Y7 0.000 2.223
Y8 0.000 0.000 1.958
Y9 0.000 0.000 0.000 2.089
Y10 0.000 0.000 0.000 0.000 2.112
ALPHA
F1 F2
________ ________
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 2 3 4 5
NU
Y6 Y7 Y8 Y9 Y10
________ ________ ________ ________ ________
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
________ ________
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 2 3 4 5
NU
Y6 Y7 Y8 Y9 Y10
________ ________ ________ ________ ________
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
________ ________
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
________ ________ ________ ________ ________
1.000 1.000 1.000 1.000 1.000
NU
Y6 Y7 Y8 Y9 Y10
________ ________ ________ ________ ________
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
________ ________
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
________ ________ ________ ________ ________
1.000 1.000 1.000 1.000 1.000
NU
Y6 Y7 Y8 Y9 Y10
________ ________ ________ ________ ________
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
________ ________
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
________ ________ ________ ________ ________
1.000 1.000 1.000 1.000 1.000
NU
Y6 Y7 Y8 Y9 Y10
________ ________ ________ ________ ________
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
________ ________
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
________ ________ ________ ________ ________
1.000 1.000 1.000 1.000 1.000
NU
Y6 Y7 Y8 Y9 Y10
________ ________ ________ ________ ________
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
________ ________
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: 23:06:25
Ending Time: 23:06:26
Elapsed Time: 00:00:01
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