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 categorical
factor indicators and a threshold
structure
DATA: FILE IS ex5.16.dat;
VARIABLE: NAMES ARE u1-u6 x1-x3 g;
CATEGORICAL ARE u1-u6;
GROUPING IS g (1=male 2=female);
MODEL: f1 BY u1-u3;
f2 BY u4-u6;
f1 f2 ON x1-x3;
MODEL female:
f1 BY u3;
[u3$1];
{u3@1};
INPUT READING TERMINATED NORMALLY
this is an example of a multiple group CFA
with covariates (MIMIC) with categorical
factor indicators and a threshold
structure
SUMMARY OF ANALYSIS
Number of groups 2
Number of observations
Group MALE 1000
Group FEMALE 1200
Total sample size 2200
Number of dependent variables 6
Number of independent variables 3
Number of continuous latent variables 2
Observed dependent variables
Binary and ordered categorical (ordinal)
U1 U2 U3 U4 U5 U6
Observed independent variables
X1 X2 X3
Continuous latent variables
F1 F2
Variables with special functions
Grouping variable G
Estimator WLSMV
Maximum number of iterations 1000
Convergence criterion 0.500D-04
Maximum number of steepest descent iterations 20
Parameterization DELTA
Link PROBIT
Input data file(s)
ex5.16.dat
Input data format FREE
UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES
Group MALE
U1
Category 1 0.260 260.000
Category 2 0.740 740.000
U2
Category 1 0.354 354.000
Category 2 0.646 646.000
U3
Category 1 0.432 432.000
Category 2 0.568 568.000
U4
Category 1 0.495 495.000
Category 2 0.505 505.000
U5
Category 1 0.547 547.000
Category 2 0.453 453.000
U6
Category 1 0.631 631.000
Category 2 0.369 369.000
Group FEMALE
U1
Category 1 0.271 325.000
Category 2 0.729 875.000
U2
Category 1 0.382 458.000
Category 2 0.618 742.000
U3
Category 1 0.693 831.000
Category 2 0.307 369.000
U4
Category 1 0.512 614.000
Category 2 0.488 586.000
U5
Category 1 0.571 685.000
Category 2 0.429 515.000
U6
Category 1 0.638 766.000
Category 2 0.362 434.000
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
X1 -0.022 -0.059 -3.215 0.10% -0.816 -0.282 -0.047
1000.000 0.979 -0.046 2.840 0.10% 0.185 0.828
X2 0.024 -0.081 -3.990 0.10% -0.801 -0.190 0.026
1000.000 1.047 0.136 3.812 0.10% 0.275 0.847
X3 0.029 -0.028 -3.223 0.10% -0.871 -0.281 0.049
1000.000 1.091 -0.180 2.983 0.10% 0.309 0.929
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
X1 0.011 0.082 -3.147 0.08% -0.884 -0.252 0.017
1200.000 1.069 0.045 4.267 0.08% 0.280 0.859
X2 -0.033 -0.026 -3.406 0.08% -0.847 -0.294 -0.042
1200.000 1.002 0.002 2.888 0.08% 0.203 0.820
X3 -0.057 -0.051 -3.400 0.08% -0.884 -0.305 -0.058
1200.000 1.042 0.032 2.964 0.08% 0.194 0.800
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 37
Chi-Square Test of Model Fit
Value 33.718*
Degrees of Freedom 41
P-Value 0.7830
Chi-Square Contribution From Each Group
MALE 16.002
FEMALE 17.717
* The chi-square value for MLM, MLMV, MLR, ULSMV, WLSM and WLSMV cannot be used
for chi-square difference testing in the regular way. MLM, MLR and WLSM
chi-square difference testing is described on the Mplus website. MLMV, WLSMV,
and ULSMV difference testing is done using the DIFFTEST option.
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.000
90 Percent C.I. 0.000 0.014
Probability RMSEA <= .05 1.000
CFI/TLI
CFI 1.000
TLI 1.000
Chi-Square Test of Model Fit for the Baseline Model
Value 6573.773
Degrees of Freedom 66
P-Value 0.0000
SRMR (Standardized Root Mean Square Residual)
Value 0.016
Optimum Function Value for Weighted Least-Squares Estimator
Value 0.48564200D-02
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Group MALE
F1 BY
U1 1.000 0.000 999.000 999.000
U2 0.957 0.049 19.609 0.000
U3 0.978 0.049 20.074 0.000
F2 BY
U4 1.000 0.000 999.000 999.000
U5 1.002 0.044 22.888 0.000
U6 0.992 0.045 22.037 0.000
F1 ON
X1 0.499 0.044 11.288 0.000
X2 0.550 0.045 12.308 0.000
X3 0.671 0.046 14.497 0.000
F2 ON
X1 0.644 0.045 14.262 0.000
X2 0.619 0.043 14.241 0.000
X3 0.450 0.041 10.904 0.000
F2 WITH
F1 0.005 0.043 0.117 0.907
Intercepts
F1 0.000 0.000 999.000 999.000
F2 0.000 0.000 999.000 999.000
Thresholds
U1$1 -0.905 0.057 -15.937 0.000
U2$1 -0.536 0.052 -10.361 0.000
U3$1 -0.230 0.047 -4.920 0.000
U4$1 -0.013 0.045 -0.297 0.767
U5$1 0.198 0.042 4.668 0.000
U6$1 0.499 0.049 10.287 0.000
Residual Variances
F1 0.741 0.051 14.570 0.000
F2 0.691 0.044 15.554 0.000
Scales
U1 1.000 0.000 999.000 999.000
U2 1.000 0.000 999.000 999.000
U3 1.000 0.000 999.000 999.000
U4 1.000 0.000 999.000 999.000
U5 1.000 0.000 999.000 999.000
U6 1.000 0.000 999.000 999.000
Group FEMALE
F1 BY
U1 1.000 0.000 999.000 999.000
U2 0.957 0.049 19.609 0.000
U3 0.777 0.166 4.678 0.000
F2 BY
U4 1.000 0.000 999.000 999.000
U5 1.002 0.044 22.888 0.000
U6 0.992 0.045 22.037 0.000
F1 ON
X1 0.397 0.086 4.613 0.000
X2 0.471 0.100 4.700 0.000
X3 0.521 0.110 4.720 0.000
F2 ON
X1 0.780 0.121 6.446 0.000
X2 0.648 0.103 6.273 0.000
X3 0.530 0.087 6.063 0.000
F2 WITH
F1 -0.039 0.036 -1.077 0.281
Intercepts
F1 -0.171 0.128 -1.341 0.180
F2 -0.035 0.064 -0.547 0.585
Thresholds
U1$1 -0.905 0.057 -15.937 0.000
U2$1 -0.536 0.052 -10.361 0.000
U3$1 0.430 0.129 3.327 0.001
U4$1 -0.013 0.045 -0.297 0.767
U5$1 0.198 0.042 4.668 0.000
U6$1 0.499 0.049 10.287 0.000
Residual Variances
F1 0.410 0.172 2.384 0.017
F2 0.830 0.251 3.306 0.001
Scales
U1 1.349 0.275 4.899 0.000
U2 1.356 0.302 4.483 0.000
U3 1.000 0.000 999.000 999.000
U4 0.939 0.141 6.636 0.000
U5 0.931 0.142 6.579 0.000
U6 0.917 0.133 6.874 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.256E-03
(ratio of smallest to largest eigenvalue)
R-SQUARE
Group MALE
Observed Residual
Variable Estimate Variance
U1 0.877 0.259
U2 0.840 0.321
U3 0.858 0.292
U4 0.852 0.309
U5 0.854 0.307
U6 0.845 0.321
Latent
Variable Estimate
F1 0.598
F2 0.612
Group FEMALE
Observed Residual
Variable Estimate Variance
U1 0.889 0.140
U2 0.859 0.169
U3 0.474 0.753
U4 0.882 0.304
U5 0.877 0.321
U6 0.857 0.374
Latent
Variable Estimate
F1 0.636
F2 0.636
Beginning Time: 23:11:15
Ending Time: 23:11:16
Elapsed Time: 00:00:01
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