Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 11:11 PM
INPUT INSTRUCTIONS
TITLE: this is an example of a multiple group CFA
with covariates (MIMIC) with continuous
factor indicators and a mean structure
DATA: FILE IS ex5.15.dat;
VARIABLE: NAMES ARE y1-y6 x1-x3 g;
GROUPING IS g (1=male 2=female);
MODEL: f1 BY y1-y3;
f2 BY y4-y6;
f1 f2 ON x1-x3;
MODEL female:
f1 BY y3;
[y3];
INPUT READING TERMINATED NORMALLY
this is an example of a multiple group CFA
with covariates (MIMIC) with continuous
factor indicators and a mean structure
SUMMARY OF ANALYSIS
Number of groups 2
Number of observations
Group MALE 500
Group FEMALE 600
Total sample size 1100
Number of dependent variables 6
Number of independent variables 3
Number of continuous latent variables 2
Observed dependent variables
Continuous
Y1 Y2 Y3 Y4 Y5 Y6
Observed independent variables
X1 X2 X3
Continuous latent variables
F1 F2
Variables with special functions
Grouping variable G
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)
ex5.15.dat
Input data format FREE
UNIVARIATE SAMPLE STATISTICS
UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS FOR MALE
Variable/ Mean/ Skewness/ Minimum/ % with Percentiles
Sample Size Variance Kurtosis Maximum Min/Max 20%/60% 40%/80% Median
Y1 2.066 -0.174 -2.827 0.20% 0.516 1.668 2.111
500.000 3.227 -0.300 6.876 0.20% 2.616 3.685
Y2 2.088 0.021 -2.785 0.20% 0.544 1.611 2.178
500.000 3.388 -0.114 7.456 0.20% 2.561 3.658
Y3 2.088 0.036 -2.223 0.20% 0.534 1.685 2.046
500.000 3.295 -0.323 6.987 0.20% 2.510 3.553
Y4 1.663 -0.017 -3.780 0.20% 0.067 1.162 1.694
500.000 3.595 -0.233 7.734 0.20% 2.122 3.307
Y5 1.623 -0.138 -3.931 0.20% 0.039 1.236 1.649
500.000 3.290 -0.253 5.979 0.20% 2.060 3.303
Y6 1.596 -0.104 -3.491 0.20% 0.040 1.122 1.588
500.000 3.434 -0.338 6.396 0.20% 2.087 3.243
X1 -0.061 -0.070 -5.568 0.20% -1.405 -0.513 -0.093
500.000 2.921 0.161 4.844 0.20% 0.268 1.410
X2 1.033 -0.175 -4.642 0.20% -0.089 0.776 1.082
500.000 2.082 0.136 4.880 0.20% 1.424 2.167
X3 2.090 0.036 -0.597 0.20% 1.176 1.777 2.115
500.000 1.042 -0.377 4.840 0.20% 2.374 3.002
UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS FOR FEMALE
Variable/ Mean/ Skewness/ Minimum/ % with Percentiles
Sample Size Variance Kurtosis Maximum Min/Max 20%/60% 40%/80% Median
Y1 1.918 0.039 -3.060 0.17% 0.314 1.434 1.828
600.000 3.190 -0.391 6.553 0.17% 2.304 3.541
Y2 1.913 0.053 -3.112 0.17% 0.343 1.399 1.869
600.000 3.209 -0.166 7.310 0.17% 2.327 3.433
Y3 1.963 0.168 -1.101 0.17% 1.053 1.637 1.959
600.000 1.080 -0.097 5.398 0.17% 2.222 2.802
Y4 1.519 0.076 -3.636 0.17% -0.178 1.014 1.513
600.000 3.961 -0.152 7.391 0.17% 2.030 3.204
Y5 1.526 -0.021 -4.207 0.17% -0.130 1.073 1.505
600.000 4.010 -0.138 7.570 0.17% 2.093 3.237
Y6 1.533 0.077 -4.125 0.17% -0.222 0.966 1.563
600.000 4.038 -0.134 7.690 0.17% 1.959 3.239
X1 -0.033 -0.039 -5.000 0.17% -1.447 -0.446 -0.053
600.000 2.989 -0.184 4.920 0.17% 0.379 1.390
X2 0.981 0.011 -3.292 0.17% -0.206 0.610 0.974
600.000 2.144 0.091 6.391 0.17% 1.263 2.213
X3 1.965 -0.112 -1.400 0.17% 1.099 1.678 1.973
600.000 1.123 -0.002 4.983 0.17% 2.270 2.880
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 44
Loglikelihood
H0 Value -8812.330
H1 Value -8790.546
Information Criteria
Akaike (AIC) 17712.660
Bayesian (BIC) 17932.795
Sample-Size Adjusted BIC 17793.041
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit
Value 43.569
Degrees of Freedom 46
P-Value 0.5746
Chi-Square Contribution From Each Group
MALE 22.900
FEMALE 20.669
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.000
90 Percent C.I. 0.000 0.026
Probability RMSEA <= .05 1.000
CFI/TLI
CFI 1.000
TLI 1.000
Chi-Square Test of Model Fit for the Baseline Model
Value 8731.537
Degrees of Freedom 66
P-Value 0.0000
SRMR (Standardized Root Mean Square Residual)
Value 0.010
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Group MALE
F1 BY
Y1 1.000 0.000 999.000 999.000
Y2 1.015 0.020 50.359 0.000
Y3 1.013 0.027 38.099 0.000
F2 BY
Y4 1.000 0.000 999.000 999.000
Y5 1.001 0.018 55.697 0.000
Y6 1.008 0.018 54.572 0.000
F1 ON
X1 0.501 0.026 19.414 0.000
X2 0.571 0.031 18.687 0.000
X3 0.697 0.043 16.255 0.000
F2 ON
X1 0.664 0.024 27.135 0.000
X2 0.589 0.028 20.838 0.000
X3 0.423 0.039 10.795 0.000
F2 WITH
F1 0.224 0.039 5.767 0.000
Intercepts
Y1 0.057 0.105 0.545 0.586
Y2 0.035 0.106 0.334 0.738
Y3 0.045 0.109 0.417 0.677
Y4 0.187 0.096 1.952 0.051
Y5 0.171 0.094 1.806 0.071
Y6 0.153 0.096 1.593 0.111
F1 0.000 0.000 999.000 999.000
F2 0.000 0.000 999.000 999.000
Residual Variances
Y1 0.525 0.046 11.497 0.000
Y2 0.517 0.046 11.233 0.000
Y3 0.477 0.044 10.783 0.000
Y4 0.554 0.046 11.939 0.000
Y5 0.395 0.038 10.489 0.000
Y6 0.517 0.044 11.665 0.000
F1 0.733 0.060 12.136 0.000
F2 0.616 0.052 11.891 0.000
Group FEMALE
F1 BY
Y1 1.000 0.000 999.000 999.000
Y2 1.015 0.020 50.359 0.000
Y3 0.480 0.020 24.594 0.000
F2 BY
Y4 1.000 0.000 999.000 999.000
Y5 1.001 0.018 55.697 0.000
Y6 1.008 0.018 54.572 0.000
F1 ON
X1 0.440 0.024 18.566 0.000
X2 0.598 0.028 21.143 0.000
X3 0.642 0.039 16.650 0.000
F2 ON
X1 0.681 0.024 28.463 0.000
X2 0.638 0.028 23.037 0.000
X3 0.505 0.037 13.529 0.000
F2 WITH
F1 0.279 0.040 6.915 0.000
Intercepts
Y1 0.057 0.105 0.545 0.586
Y2 0.035 0.106 0.334 0.738
Y3 1.072 0.067 16.003 0.000
Y4 0.187 0.096 1.952 0.051
Y5 0.171 0.094 1.806 0.071
Y6 0.153 0.096 1.593 0.111
F1 0.021 0.135 0.158 0.875
F2 -0.242 0.126 -1.920 0.055
Residual Variances
Y1 0.492 0.046 10.726 0.000
Y2 0.504 0.047 10.797 0.000
Y3 0.466 0.030 15.777 0.000
Y4 0.617 0.047 13.161 0.000
Y5 0.512 0.042 12.189 0.000
Y6 0.486 0.041 11.802 0.000
F1 0.746 0.060 12.522 0.000
F2 0.739 0.056 13.235 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.146E-02
(ratio of smallest to largest eigenvalue)
Beginning Time: 23:11:14
Ending Time: 23:11:15
Elapsed Time: 00:00:01
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