Mplus VERSION 6
MUTHEN & MUTHEN
04/25/2010 11:35 PM
INPUT INSTRUCTIONS
montecarlo:
names = u1-u6;
generate = u1-u6(2);
categorical = u1-u6;
ngroups = 2;
nobs = 500 600;
nreps = 500;
save = mcdiff*.dat;
REPSAVE=ALL;
analysis:
type = meanstructure;
model population:
f by u1-u6*1;
f*0.49;
u1-u6*.51;
[u1$1-u6$1*-1];
[u1$2-u6$2*1];
model population-g2:
[u1$1-u6$1*-1];
[u1$2-u6$2*1];
f by u1-u6*1;
f*0.49;
u1-u6*3.51;
model:
f by u1-u6;
f*0.49;
model g2:
output:
tech9;
*** WARNING in ANALYSIS command
Starting with Version 5, TYPE=MEANSTRUCTURE is the default for all
analyses. To remove means from the model, use
MODEL=NOMEANSTRUCTURE in the ANALYSIS command.
1 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS
SUMMARY OF ANALYSIS
Number of groups 2
Number of observations
Group G1 500
Group G2 600
Number of replications
Requested 500
Completed 500
Value of seed 0
Number of dependent variables 6
Number of independent variables 0
Number of continuous latent variables 1
Observed dependent variables
Binary and ordered categorical (ordinal)
U1 U2 U3 U4 U5 U6
Continuous latent variables
F
Estimator WLSMV
Maximum number of iterations 1000
Convergence criterion 0.500D-04
Maximum number of steepest descent iterations 20
Parameterization DELTA
SAMPLE STATISTICS FOR THE FIRST REPLICATION
SAMPLE STATISTICS FOR G1
Means/Intercepts/Thresholds
U1$1 U1$2 U2$1 U2$2 U3$1
________ ________ ________ ________ ________
1 -0.931 0.978 -1.063 1.011 -1.045
Means/Intercepts/Thresholds
U3$2 U4$1 U4$2 U5$1 U5$2
________ ________ ________ ________ ________
1 0.970 -1.019 1.045 -0.994 1.063
Means/Intercepts/Thresholds
U6$1 U6$2
________ ________
1 -1.011 0.915
Covariances/Correlations/Residual Correlations
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
U1
U2 0.522
U3 0.452 0.457
U4 0.457 0.432 0.430
U5 0.485 0.456 0.514 0.450
U6 0.454 0.528 0.529 0.433 0.546
Covariances/Correlations/Residual Correlations
U6
________
SAMPLE STATISTICS FOR G2
Means/Intercepts/Thresholds
U1$1 U1$2 U2$1 U2$2 U3$1
________ ________ ________ ________ ________
1 -0.501 0.505 -0.534 0.520 -0.524
Means/Intercepts/Thresholds
U3$2 U4$1 U4$2 U5$1 U5$2
________ ________ ________ ________ ________
1 0.491 -0.529 0.372 -0.638 0.422
Means/Intercepts/Thresholds
U6$1 U6$2
________ ________
1 -0.468 0.417
Covariances/Correlations/Residual Correlations
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
U1
U2 0.177
U3 0.104 0.102
U4 0.123 0.110 0.165
U5 0.164 0.069 0.034 0.142
U6 0.107 0.112 0.184 0.098 0.125
Covariances/Correlations/Residual Correlations
U6
________
TESTS OF MODEL FIT
Number of Free Parameters 26
Chi-Square Test of Model Fit
Degrees of freedom 28
Mean 28.374
Std Dev 7.959
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.990 13.565 13.452
0.980 0.974 14.847 13.924
0.950 0.946 16.928 16.716
0.900 0.900 18.939 18.812
0.800 0.796 21.588 21.425
0.700 0.702 23.647 23.675
0.500 0.520 27.336 27.675
0.300 0.322 31.391 31.746
0.200 0.226 34.027 34.857
0.100 0.128 37.916 39.644
0.050 0.074 41.337 41.897
0.020 0.032 45.419 46.250
0.010 0.014 48.278 48.963
RMSEA (Root Mean Square Error Of Approximation)
Mean 0.009
Std Dev 0.011
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 1.000 -0.017 0.000
0.980 1.000 -0.014 0.000
0.950 1.000 -0.010 0.000
0.900 1.000 -0.005 0.000
0.800 1.000 0.000 0.000
0.700 0.466 0.003 0.000
0.500 0.414 0.009 0.000
0.300 0.312 0.015 0.016
0.200 0.242 0.019 0.021
0.100 0.150 0.024 0.027
0.050 0.094 0.028 0.030
0.020 0.036 0.033 0.034
0.010 0.016 0.036 0.037
WRMR (Weighted Root Mean Square Residual)
Mean 0.941
Std Dev 0.140
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.994 0.616 0.643
0.980 0.976 0.654 0.649
0.950 0.954 0.711 0.718
0.900 0.914 0.762 0.766
0.800 0.796 0.824 0.819
0.700 0.686 0.868 0.862
0.500 0.492 0.941 0.938
0.300 0.294 1.015 1.012
0.200 0.200 1.059 1.058
0.100 0.110 1.121 1.129
0.050 0.052 1.171 1.172
0.020 0.018 1.229 1.225
0.010 0.012 1.267 1.268
MODEL RESULTS
ESTIMATES S. E. M. S. E. 95% % Sig
Population Average Std. Dev. Average Cover Coeff
Group G1
F BY
U1 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U2 1.000 1.0063 0.0792 0.0770 0.0063 0.956 1.000
U3 1.000 1.0081 0.0792 0.0769 0.0063 0.954 1.000
U4 1.000 1.0054 0.0806 0.0768 0.0065 0.932 1.000
U5 1.000 1.0064 0.0786 0.0769 0.0062 0.954 1.000
U6 1.000 1.0070 0.0789 0.0769 0.0063 0.946 1.000
Means
F 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Thresholds
U1$1 0.000 -0.9997 0.0675 0.0658 1.0040 0.000 1.000
U1$2 0.000 0.9998 0.0649 0.0658 1.0039 0.000 1.000
U2$1 0.000 -1.0025 0.0658 0.0659 1.0093 0.000 1.000
U2$2 0.000 1.0013 0.0631 0.0658 1.0065 0.000 1.000
U3$1 0.000 -1.0001 0.0695 0.0659 1.0051 0.000 1.000
U3$2 0.000 1.0036 0.0644 0.0659 1.0114 0.000 1.000
U4$1 0.000 -1.0026 0.0685 0.0659 1.0099 0.000 1.000
U4$2 0.000 1.0014 0.0653 0.0658 1.0070 0.000 1.000
U5$1 0.000 -1.0021 0.0640 0.0659 1.0083 0.000 1.000
U5$2 0.000 0.9991 0.0635 0.0658 1.0022 0.000 1.000
U6$1 0.000 -0.9988 0.0629 0.0659 1.0015 0.000 1.000
U6$2 0.000 1.0018 0.0647 0.0658 1.0077 0.000 1.000
Variances
F 0.490 0.4924 0.0546 0.0538 0.0030 0.938 1.000
Scales
U1 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U2 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U3 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U4 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U5 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U6 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Group G2
F BY
U1 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U2 1.000 1.0063 0.0792 0.0770 0.0063 0.956 1.000
U3 1.000 1.0081 0.0792 0.0769 0.0063 0.954 1.000
U4 1.000 1.0054 0.0806 0.0768 0.0065 0.932 1.000
U5 1.000 1.0064 0.0786 0.0769 0.0062 0.954 1.000
U6 1.000 1.0070 0.0789 0.0769 0.0063 0.946 1.000
Means
F 0.000 0.0007 0.0555 0.0576 0.0031 0.968 0.032
Thresholds
U1$1 0.000 -0.9997 0.0675 0.0658 1.0040 0.000 1.000
U1$2 0.000 0.9998 0.0649 0.0658 1.0039 0.000 1.000
U2$1 0.000 -1.0025 0.0658 0.0659 1.0093 0.000 1.000
U2$2 0.000 1.0013 0.0631 0.0658 1.0065 0.000 1.000
U3$1 0.000 -1.0001 0.0695 0.0659 1.0051 0.000 1.000
U3$2 0.000 1.0036 0.0644 0.0659 1.0114 0.000 1.000
U4$1 0.000 -1.0026 0.0685 0.0659 1.0099 0.000 1.000
U4$2 0.000 1.0014 0.0653 0.0658 1.0070 0.000 1.000
U5$1 0.000 -1.0021 0.0640 0.0659 1.0083 0.000 1.000
U5$2 0.000 0.9991 0.0635 0.0658 1.0022 0.000 1.000
U6$1 0.000 -0.9988 0.0629 0.0659 1.0015 0.000 1.000
U6$2 0.000 1.0018 0.0647 0.0658 1.0077 0.000 1.000
Variances
F 0.490 0.4898 0.0960 0.0929 0.0092 0.950 1.000
Scales
U1 1.000 0.4998 0.0347 0.0342 0.2514 0.000 1.000
U2 1.000 0.5018 0.0358 0.0342 0.2494 0.000 1.000
U3 1.000 0.5001 0.0347 0.0342 0.2511 0.000 1.000
U4 1.000 0.5006 0.0346 0.0343 0.2506 0.000 1.000
U5 1.000 0.5003 0.0334 0.0342 0.2508 0.000 1.000
U6 1.000 0.5008 0.0345 0.0343 0.2504 0.000 1.000
QUALITY OF NUMERICAL RESULTS
Average Condition Number for the Information Matrix 0.681E-02
(ratio of smallest to largest eigenvalue)
TECHNICAL OUTPUT
PARAMETER SPECIFICATION FOR G1
TAU
U1$1 U1$2 U2$1 U2$2 U3$1
________ ________ ________ ________ ________
1 1 2 3 4 5
TAU
U3$2 U4$1 U4$2 U5$1 U5$2
________ ________ ________ ________ ________
1 6 7 8 9 10
TAU
U6$1 U6$2
________ ________
1 11 12
NU
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
1 0 0 0 0 0
NU
U6
________
1 0
LAMBDA
F
________
U1 0
U2 13
U3 14
U4 15
U5 16
U6 17
ALPHA
F
________
1 0
BETA
F
________
F 0
PSI
F
________
F 18
DELTA
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
1 0 0 0 0 0
DELTA
U6
________
1 0
PARAMETER SPECIFICATION FOR G2
TAU
U1$1 U1$2 U2$1 U2$2 U3$1
________ ________ ________ ________ ________
1 1 2 3 4 5
TAU
U3$2 U4$1 U4$2 U5$1 U5$2
________ ________ ________ ________ ________
1 6 7 8 9 10
TAU
U6$1 U6$2
________ ________
1 11 12
NU
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
1 0 0 0 0 0
NU
U6
________
1 0
LAMBDA
F
________
U1 0
U2 13
U3 14
U4 15
U5 16
U6 17
ALPHA
F
________
1 19
BETA
F
________
F 0
PSI
F
________
F 20
DELTA
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
1 21 22 23 24 25
DELTA
U6
________
1 26
STARTING VALUES FOR G1
TAU
U1$1 U1$2 U2$1 U2$2 U3$1
________ ________ ________ ________ ________
1 0.000 0.000 0.000 0.000 0.000
TAU
U3$2 U4$1 U4$2 U5$1 U5$2
________ ________ ________ ________ ________
1 0.000 0.000 0.000 0.000 0.000
TAU
U6$1 U6$2
________ ________
1 0.000 0.000
NU
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
1 0.000 0.000 0.000 0.000 0.000
NU
U6
________
1 0.000
LAMBDA
F
________
U1 1.000
U2 1.000
U3 0.974
U4 0.893
U5 1.001
U6 1.050
ALPHA
F
________
1 0.000
BETA
F
________
F 0.000
PSI
F
________
F 0.490
DELTA
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
1 1.000 1.000 1.000 1.000 1.000
DELTA
U6
________
1 1.000
STARTING VALUES FOR G2
TAU
U1$1 U1$2 U2$1 U2$2 U3$1
________ ________ ________ ________ ________
1 0.000 0.000 0.000 0.000 0.000
TAU
U3$2 U4$1 U4$2 U5$1 U5$2
________ ________ ________ ________ ________
1 0.000 0.000 0.000 0.000 0.000
TAU
U6$1 U6$2
________ ________
1 0.000 0.000
NU
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
1 0.000 0.000 0.000 0.000 0.000
NU
U6
________
1 0.000
LAMBDA
F
________
U1 1.000
U2 0.703
U3 0.689
U4 0.851
U5 0.655
U6 0.826
ALPHA
F
________
1 0.000
BETA
F
________
F 0.000
PSI
F
________
F 0.490
DELTA
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
1 1.000 1.000 1.000 1.000 1.000
DELTA
U6
________
1 1.000
POPULATION VALUES FOR G1
TAU
U1$1 U1$2 U2$1 U2$2 U3$1
________ ________ ________ ________ ________
1 -1.000 1.000 -1.000 1.000 -1.000
TAU
U3$2 U4$1 U4$2 U5$1 U5$2
________ ________ ________ ________ ________
1 1.000 -1.000 1.000 -1.000 1.000
TAU
U6$1 U6$2
________ ________
1 -1.000 1.000
NU
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
1 0.000 0.000 0.000 0.000 0.000
NU
U6
________
1 0.000
LAMBDA
F
________
U1 1.000
U2 1.000
U3 1.000
U4 1.000
U5 1.000
U6 1.000
THETA
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
U1 0.510
U2 0.000 0.510
U3 0.000 0.000 0.510
U4 0.000 0.000 0.000 0.510
U5 0.000 0.000 0.000 0.000 0.510
U6 0.000 0.000 0.000 0.000 0.000
THETA
U6
________
U6 0.510
ALPHA
F
________
1 0.000
BETA
F
________
F 0.000
PSI
F
________
F 0.490
POPULATION VALUES FOR G2
TAU
U1$1 U1$2 U2$1 U2$2 U3$1
________ ________ ________ ________ ________
1 -1.000 1.000 -1.000 1.000 -1.000
TAU
U3$2 U4$1 U4$2 U5$1 U5$2
________ ________ ________ ________ ________
1 1.000 -1.000 1.000 -1.000 1.000
TAU
U6$1 U6$2
________ ________
1 -1.000 1.000
NU
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
1 0.000 0.000 0.000 0.000 0.000
NU
U6
________
1 0.000
LAMBDA
F
________
U1 1.000
U2 1.000
U3 1.000
U4 1.000
U5 1.000
U6 1.000
THETA
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
U1 3.510
U2 0.000 3.510
U3 0.000 0.000 3.510
U4 0.000 0.000 0.000 3.510
U5 0.000 0.000 0.000 0.000 3.510
U6 0.000 0.000 0.000 0.000 0.000
THETA
U6
________
U6 3.510
ALPHA
F
________
1 0.000
BETA
F
________
F 0.000
PSI
F
________
F 0.490
TECHNICAL 9 OUTPUT
Error messages for each replication (if any)
SAVEDATA INFORMATION
Order of variables
U1
U2
U3
U4
U5
U6
GROUP
Save file
mcdiff*.dat
Save file format Free
Save file record length 5000
Beginning Time: 23:35:37
Ending Time: 23:36:01
Elapsed Time: 00:00:24
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