Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 11:08 PM
INPUT INSTRUCTIONS
TITLE: this is an example of a real data analysis
of a CFA with covariates (MIMIC) for
continuous factor indicators where the
parameter estimates are saved for use in a
Monte Carlo simulation study
DATA: FILE = ex12.7real.dat;
VARIABLE: NAMES = y1-y10 x1 x2;
MODEL: f1 BY y1@1 y2-y5*1;
f2 BY y6@1 y7-y10*1;
f1-f2*.5;
f1 WITH f2*.25;
y1-y5*.5;
[y1-y5*1];
y6-y10*.75;
[y6-y10*2];
f1 ON x1*.3 x2*.5;
f2 ON x1*.5 x2*.3;
OUTPUT: TECH1;
SAVEDATA: ESTIMATES = ex12.7estimates.dat;
INPUT READING TERMINATED NORMALLY
this is an example of a real data analysis
of a CFA with covariates (MIMIC) for
continuous factor indicators where the
parameter estimates are saved for use in a
Monte Carlo simulation study
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 500
Number of dependent variables 10
Number of independent variables 2
Number of continuous latent variables 2
Observed dependent variables
Continuous
Y1 Y2 Y3 Y4 Y5 Y6
Y7 Y8 Y9 Y10
Observed independent variables
X1 X2
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
Input data file(s)
ex12.7real.dat
Input data format FREE
UNIVARIATE SAMPLE STATISTICS
UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS
Variable/ Mean/ Skewness/ Minimum/ % with Percentiles
Sample Size Variance Kurtosis Maximum Min/Max 20%/60% 40%/80% Median
Y1 1.843 0.006 -1.541 0.20% 0.869 1.559 1.797
500.000 1.373 -0.158 5.550 0.20% 2.125 2.884
Y2 1.805 0.005 -1.249 0.20% 0.702 1.442 1.835
500.000 1.578 -0.422 5.134 0.20% 2.197 2.914
Y3 1.830 0.044 -1.519 0.20% 0.818 1.474 1.783
500.000 1.530 -0.065 5.735 0.20% 2.064 2.931
Y4 1.849 0.058 -1.671 0.20% 0.842 1.497 1.758
500.000 1.543 -0.248 5.407 0.20% 2.150 2.940
Y5 1.888 0.023 -2.169 0.20% 0.817 1.611 1.845
500.000 1.487 -0.082 5.740 0.20% 2.210 2.979
Y6 2.790 -0.053 -1.246 0.20% 1.633 2.401 2.821
500.000 1.954 -0.105 6.962 0.20% 3.159 3.956
Y7 2.776 0.016 -1.520 0.20% 1.564 2.467 2.859
500.000 2.031 0.526 8.366 0.20% 3.192 3.919
Y8 2.833 0.059 -1.837 0.20% 1.615 2.580 2.931
500.000 1.780 0.185 7.992 0.20% 3.246 3.947
Y9 2.799 -0.003 -1.485 0.20% 1.570 2.513 2.762
500.000 2.018 0.061 7.045 0.20% 3.137 3.996
Y10 2.818 -0.047 -1.054 0.20% 1.581 2.530 2.885
500.000 1.890 -0.289 6.377 0.20% 3.141 3.950
X1 1.023 0.104 -3.607 0.20% -0.258 0.640 1.049
500.000 2.030 -0.011 5.706 0.20% 1.364 2.210
X2 1.042 -0.130 -3.170 0.20% -0.033 0.717 1.052
500.000 1.719 -0.020 4.740 0.20% 1.316 2.147
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 35
Loglikelihood
H0 Value -6588.596
H1 Value -6562.418
Information Criteria
Akaike (AIC) 13247.192
Bayesian (BIC) 13394.704
Sample-Size Adjusted BIC 13283.612
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit
Value 52.356
Degrees of Freedom 50
P-Value 0.3827
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.010
90 Percent C.I. 0.000 0.031
Probability RMSEA <= .05 1.000
CFI/TLI
CFI 0.999
TLI 0.999
Chi-Square Test of Model Fit for the Baseline Model
Value 3726.170
Degrees of Freedom 65
P-Value 0.0000
SRMR (Standardized Root Mean Square Residual)
Value 0.021
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
F1 BY
Y1 1.000 0.000 999.000 999.000
Y2 1.074 0.052 20.772 0.000
Y3 1.113 0.050 22.332 0.000
Y4 1.059 0.051 20.801 0.000
Y5 1.067 0.050 21.528 0.000
F2 BY
Y6 1.000 0.000 999.000 999.000
Y7 1.081 0.056 19.181 0.000
Y8 0.943 0.054 17.560 0.000
Y9 1.047 0.057 18.458 0.000
Y10 1.008 0.055 18.332 0.000
F1 ON
X1 0.262 0.023 11.130 0.000
X2 0.459 0.028 16.524 0.000
F2 ON
X1 0.482 0.031 15.488 0.000
X2 0.295 0.030 9.698 0.000
F1 WITH
F2 0.205 0.029 7.013 0.000
Intercepts
Y1 1.097 0.059 18.721 0.000
Y2 1.004 0.063 16.017 0.000
Y3 0.999 0.061 16.482 0.000
Y4 1.059 0.062 17.089 0.000
Y5 1.092 0.060 18.094 0.000
Y6 1.991 0.071 27.851 0.000
Y7 1.912 0.072 26.576 0.000
Y8 2.079 0.068 30.442 0.000
Y9 1.961 0.072 27.271 0.000
Y10 2.013 0.070 28.836 0.000
Residual Variances
Y1 0.469 0.035 13.297 0.000
Y2 0.535 0.040 13.275 0.000
Y3 0.410 0.033 12.239 0.000
Y4 0.529 0.040 13.314 0.000
Y5 0.458 0.036 12.885 0.000
Y6 0.794 0.059 13.390 0.000
Y7 0.675 0.054 12.414 0.000
Y8 0.749 0.055 13.525 0.000
Y9 0.744 0.058 12.918 0.000
Y10 0.712 0.055 13.030 0.000
F1 0.407 0.040 10.195 0.000
F2 0.546 0.059 9.282 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.888E-02
(ratio of smallest to largest eigenvalue)
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION
NU
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
1 2 3 4 5
NU
Y6 Y7 Y8 Y9 Y10
________ ________ ________ ________ ________
6 7 8 9 10
NU
X1 X2
________ ________
0 0
LAMBDA
F1 F2 X1 X2
________ ________ ________ ________
Y1 0 0 0 0
Y2 11 0 0 0
Y3 12 0 0 0
Y4 13 0 0 0
Y5 14 0 0 0
Y6 0 0 0 0
Y7 0 15 0 0
Y8 0 16 0 0
Y9 0 17 0 0
Y10 0 18 0 0
X1 0 0 0 0
X2 0 0 0 0
THETA
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
Y1 19
Y2 0 20
Y3 0 0 21
Y4 0 0 0 22
Y5 0 0 0 0 23
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
X1 0 0 0 0 0
X2 0 0 0 0 0
THETA
Y6 Y7 Y8 Y9 Y10
________ ________ ________ ________ ________
Y6 24
Y7 0 25
Y8 0 0 26
Y9 0 0 0 27
Y10 0 0 0 0 28
X1 0 0 0 0 0
X2 0 0 0 0 0
THETA
X1 X2
________ ________
X1 0
X2 0 0
ALPHA
F1 F2 X1 X2
________ ________ ________ ________
0 0 0 0
BETA
F1 F2 X1 X2
________ ________ ________ ________
F1 0 0 29 30
F2 0 0 31 32
X1 0 0 0 0
X2 0 0 0 0
PSI
F1 F2 X1 X2
________ ________ ________ ________
F1 33
F2 34 35
X1 0 0 0
X2 0 0 0 0
STARTING VALUES
NU
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
1.000 1.000 1.000 1.000 1.000
NU
Y6 Y7 Y8 Y9 Y10
________ ________ ________ ________ ________
2.000 2.000 2.000 2.000 2.000
NU
X1 X2
________ ________
0.000 0.000
LAMBDA
F1 F2 X1 X2
________ ________ ________ ________
Y1 1.000 0.000 0.000 0.000
Y2 1.072 0.000 0.000 0.000
Y3 1.109 0.000 0.000 0.000
Y4 1.064 0.000 0.000 0.000
Y5 1.070 0.000 0.000 0.000
Y6 0.000 1.000 0.000 0.000
Y7 0.000 1.073 0.000 0.000
Y8 0.000 0.938 0.000 0.000
Y9 0.000 1.049 0.000 0.000
Y10 0.000 1.006 0.000 0.000
X1 0.000 0.000 1.000 0.000
X2 0.000 0.000 0.000 1.000
THETA
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
Y1 0.500
Y2 0.000 0.500
Y3 0.000 0.000 0.500
Y4 0.000 0.000 0.000 0.500
Y5 0.000 0.000 0.000 0.000 0.500
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
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
THETA
Y6 Y7 Y8 Y9 Y10
________ ________ ________ ________ ________
Y6 0.750
Y7 0.000 0.750
Y8 0.000 0.000 0.750
Y9 0.000 0.000 0.000 0.750
Y10 0.000 0.000 0.000 0.000 0.750
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
THETA
X1 X2
________ ________
X1 0.000
X2 0.000 0.000
ALPHA
F1 F2 X1 X2
________ ________ ________ ________
0.000 0.000 1.023 1.042
BETA
F1 F2 X1 X2
________ ________ ________ ________
F1 0.000 0.000 0.300 0.500
F2 0.000 0.000 0.500 0.300
X1 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000
PSI
F1 F2 X1 X2
________ ________ ________ ________
F1 0.500
F2 0.250 0.500
X1 0.000 0.000 2.030
X2 0.000 0.000 -0.021 1.719
SAVEDATA INFORMATION
Estimates
Save file
ex12.7estimates.dat
Save format Free
Beginning Time: 23:08:53
Ending Time: 23:08:54
Elapsed Time: 00:00:01
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