Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 10:22 PM
INPUT INSTRUCTIONS
title: this is an example of a CFA with continuous factor indicators
montecarlo:
names = y1-y6;
nobs = 500;
nreps = 1;
save = ex5.1.dat;
model montecarlo:
f1 by y1@1 y2-y3*1;
f2 by y4@1 y5-y6*.8;
y1-y6*1;
f1-f2*1;
model:
f1 by y1@1 y2-y3*1;
f2 by y4@1 y5-y6*.8;
y1-y6*1;
f1-f2*1;
output:
tech9;
INPUT READING TERMINATED NORMALLY
this is an example of a CFA with continuous factor indicators
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 500
Number of replications
Requested 1
Completed 1
Value of seed 0
Number of dependent variables 6
Number of independent variables 0
Number of continuous latent variables 2
Observed dependent variables
Continuous
Y1 Y2 Y3 Y4 Y5 Y6
Continuous latent variables
F1 F2
Estimator ML
Information matrix OBSERVED
Maximum number of iterations 1000
Convergence criterion 0.500D-04
Maximum number of steepest descent iterations 20
SAMPLE STATISTICS FOR THE FIRST REPLICATION
SAMPLE STATISTICS
Means
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
-0.022 0.026 0.035 -0.022 -0.016
Means
Y6
________
0.048
Covariances
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
Y1 1.971
Y2 1.022 1.949
Y3 0.926 1.042 1.953
Y4 -0.002 -0.069 -0.020 2.050
Y5 -0.047 -0.067 -0.073 0.804 1.706
Y6 0.032 -0.029 0.071 0.684 0.722
Covariances
Y6
________
Y6 1.679
Correlations
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
Y1 1.000
Y2 0.521 1.000
Y3 0.472 0.534 1.000
Y4 -0.001 -0.035 -0.010 1.000
Y5 -0.026 -0.036 -0.040 0.430 1.000
Y6 0.018 -0.016 0.039 0.369 0.427
Correlations
Y6
________
Y6 1.000
MODEL FIT INFORMATION
Number of Free Parameters 19
Loglikelihood
H0 Value
Mean -4906.609
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 -4906.609 -4906.609
0.980 0.000 -4906.609 -4906.609
0.950 0.000 -4906.609 -4906.609
0.900 0.000 -4906.609 -4906.609
0.800 0.000 -4906.609 -4906.609
0.700 0.000 -4906.609 -4906.609
0.500 0.000 -4906.609 -4906.609
0.300 0.000 -4906.609 -4906.609
0.200 0.000 -4906.609 -4906.609
0.100 0.000 -4906.609 -4906.609
0.050 0.000 -4906.609 -4906.609
0.020 0.000 -4906.609 -4906.609
0.010 0.000 -4906.609 -4906.609
H1 Value
Mean -4904.661
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 -4904.661 -4904.661
0.980 0.000 -4904.661 -4904.661
0.950 0.000 -4904.661 -4904.661
0.900 0.000 -4904.661 -4904.661
0.800 0.000 -4904.661 -4904.661
0.700 0.000 -4904.661 -4904.661
0.500 0.000 -4904.661 -4904.661
0.300 0.000 -4904.661 -4904.661
0.200 0.000 -4904.661 -4904.661
0.100 0.000 -4904.661 -4904.661
0.050 0.000 -4904.661 -4904.661
0.020 0.000 -4904.661 -4904.661
0.010 0.000 -4904.661 -4904.661
Information Criteria
Akaike (AIC)
Mean 9851.218
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 9851.218 9851.218
0.980 0.000 9851.218 9851.218
0.950 0.000 9851.218 9851.218
0.900 0.000 9851.218 9851.218
0.800 0.000 9851.218 9851.218
0.700 0.000 9851.218 9851.218
0.500 0.000 9851.218 9851.218
0.300 0.000 9851.218 9851.218
0.200 0.000 9851.218 9851.218
0.100 0.000 9851.218 9851.218
0.050 0.000 9851.218 9851.218
0.020 0.000 9851.218 9851.218
0.010 0.000 9851.218 9851.218
Bayesian (BIC)
Mean 9931.295
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 9931.295 9931.295
0.980 0.000 9931.295 9931.295
0.950 0.000 9931.295 9931.295
0.900 0.000 9931.295 9931.295
0.800 0.000 9931.295 9931.295
0.700 0.000 9931.295 9931.295
0.500 0.000 9931.295 9931.295
0.300 0.000 9931.295 9931.295
0.200 0.000 9931.295 9931.295
0.100 0.000 9931.295 9931.295
0.050 0.000 9931.295 9931.295
0.020 0.000 9931.295 9931.295
0.010 0.000 9931.295 9931.295
Sample-Size Adjusted BIC (n* = (n + 2) / 24)
Mean 9870.988
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 9870.988 9870.988
0.980 0.000 9870.988 9870.988
0.950 0.000 9870.988 9870.988
0.900 0.000 9870.988 9870.988
0.800 0.000 9870.988 9870.988
0.700 0.000 9870.988 9870.988
0.500 0.000 9870.988 9870.988
0.300 0.000 9870.988 9870.988
0.200 0.000 9870.988 9870.988
0.100 0.000 9870.988 9870.988
0.050 0.000 9870.988 9870.988
0.020 0.000 9870.988 9870.988
0.010 0.000 9870.988 9870.988
Chi-Square Test of Model Fit
Degrees of freedom 8
Mean 3.896
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 1.000 1.646 3.896
0.980 1.000 2.032 3.896
0.950 1.000 2.733 3.896
0.900 1.000 3.490 3.896
0.800 0.000 4.594 3.896
0.700 0.000 5.527 3.896
0.500 0.000 7.344 3.896
0.300 0.000 9.524 3.896
0.200 0.000 11.030 3.896
0.100 0.000 13.362 3.896
0.050 0.000 15.507 3.896
0.020 0.000 18.168 3.896
0.010 0.000 20.090 3.896
RMSEA (Root Mean Square Error Of Approximation)
Mean 0.000
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 1.000
CFI/TLI
CFI
Mean 1.000
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 1.000
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 0.014
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
MODEL RESULTS
ESTIMATES S. E. M. S. E. 95% % Sig
Population Average Std. Dev. Average Cover Coeff
F1 BY
Y1 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y2 1.000 1.1272 0.0000 0.0992 0.0162 1.000 1.000
Y3 1.000 1.0200 0.0000 0.0889 0.0004 1.000 1.000
F2 BY
Y4 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y5 0.800 1.0583 0.0000 0.1290 0.0667 0.000 1.000
Y6 0.800 0.8973 0.0000 0.1052 0.0095 1.000 1.000
F2 WITH
F1 0.000 -0.0301 0.0000 0.0516 0.0009 1.000 0.000
Intercepts
Y1 0.000 -0.0222 0.0000 0.0628 0.0005 1.000 0.000
Y2 0.000 0.0256 0.0000 0.0624 0.0007 1.000 0.000
Y3 0.000 0.0347 0.0000 0.0625 0.0012 1.000 0.000
Y4 0.000 -0.0224 0.0000 0.0640 0.0005 1.000 0.000
Y5 0.000 -0.0158 0.0000 0.0584 0.0002 1.000 0.000
Y6 0.000 0.0477 0.0000 0.0579 0.0023 1.000 0.000
Variances
F1 1.000 0.9063 0.0000 0.1250 0.0088 1.000 1.000
F2 1.000 0.7605 0.0000 0.1326 0.0574 1.000 1.000
Residual Variances
Y1 1.000 1.0645 0.0000 0.0957 0.0042 1.000 1.000
Y2 1.000 0.7974 0.0000 0.1001 0.0411 0.000 1.000
Y3 1.000 1.0097 0.0000 0.0953 0.0001 1.000 1.000
Y4 1.000 1.2896 0.0000 0.1187 0.0839 0.000 1.000
Y5 1.000 0.8544 0.0000 0.1107 0.0212 1.000 1.000
Y6 1.000 1.0663 0.0000 0.0967 0.0044 1.000 1.000
QUALITY OF NUMERICAL RESULTS
Average Condition Number for the Information Matrix 0.410E-01
(ratio of smallest to largest eigenvalue)
TECHNICAL OUTPUT
PARAMETER SPECIFICATION
NU
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
1 2 3 4 5
NU
Y6
________
6
LAMBDA
F1 F2
________ ________
Y1 0 0
Y2 7 0
Y3 8 0
Y4 0 0
Y5 0 9
Y6 0 10
THETA
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
Y1 11
Y2 0 12
Y3 0 0 13
Y4 0 0 0 14
Y5 0 0 0 0 15
Y6 0 0 0 0 0
THETA
Y6
________
Y6 16
ALPHA
F1 F2
________ ________
0 0
BETA
F1 F2
________ ________
F1 0 0
F2 0 0
PSI
F1 F2
________ ________
F1 17
F2 18 19
STARTING VALUES
NU
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
Y6
________
0.000
LAMBDA
F1 F2
________ ________
Y1 1.000 0.000
Y2 1.125 0.000
Y3 1.020 0.000
Y4 0.000 1.000
Y5 0.000 0.800
Y6 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
THETA
Y6
________
Y6 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
POPULATION VALUES
NU
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
Y6
________
0.000
LAMBDA
F1 F2
________ ________
Y1 1.000 0.000
Y2 1.000 0.000
Y3 1.000 0.000
Y4 0.000 1.000
Y5 0.000 0.800
Y6 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
THETA
Y6
________
Y6 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
TECHNICAL 9 OUTPUT
Error messages for each replication (if any)
SAVEDATA INFORMATION
Order of variables
Y1
Y2
Y3
Y4
Y5
Y6
Save file
ex5.1.dat
Save file format Free
Save file record length 10000
Beginning Time: 22:22:56
Ending Time: 22:22:57
Elapsed Time: 00:00:01
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