Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 10:24 PM
INPUT INSTRUCTIONS
title: this is an example of a linear growth
model for a categorical outcome
This is the same example as in section 9.2 of
Mplus Web Note #4, page 18
montecarlo:
names = u11-u14;
generate = u11-u14(1);
categorical = u11 - u14;
nobs = 500;
nreps = 1;
save = ex6.4.dat;
model population:
i s | u11@0 u12@1 u13@2 u14@3;
[u11$1-u14$1*-.5] (1);
u11*.5 u12*.6 u13*.9 u14*1.4;
[i@0 s*-.5];
i*.5; s*.1; i with s*0;
model:
i s | u11@0 u12@1 u13@2 u14@3;
[u11$1-u14$1*-.5] (1);
! residual variances are not part of the
! default WLSMV Delta parameterization
[i@0 s*-.5];
i*.5; s*.1; i with s*0;
{u11@1 u12*.913 u13*.745 u14*.598};
! this sets the scale factors at the inverted SDs
! for the u* variables, so that the estimates
! are in the metric of the Delta
! parametrizations
output:
tech9;
INPUT READING TERMINATED NORMALLY
this is an example of a linear growth
model for a categorical outcome
This is the same example as in section 9.2 of
Mplus Web Note #4, page 18
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 4
Number of independent variables 0
Number of continuous latent variables 2
Observed dependent variables
Binary and ordered categorical (ordinal)
U11 U12 U13 U14
Continuous latent variables
I S
Estimator WLSMV
Maximum number of iterations 1000
Convergence criterion 0.500D-04
Maximum number of steepest descent iterations 20
Parameterization DELTA
Link PROBIT
SAMPLE STATISTICS FOR THE FIRST REPLICATION
SAMPLE STATISTICS
Means/Intercepts/Thresholds
U11$1 U12$1 U13$1 U14$1
________ ________ ________ ________
-0.496 -0.085 0.316 0.565
Covariances/Correlations/Residual Correlations
U11 U12 U13 U14
________ ________ ________ ________
U11
U12 0.463
U13 0.399 0.554
U14 0.354 0.406 0.517
MODEL FIT INFORMATION
Number of Free Parameters 8
Chi-Square Test of Model Fit
Degrees of freedom 2
Mean 1.214
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 1.000 0.020 1.214
0.980 1.000 0.040 1.214
0.950 1.000 0.103 1.214
0.900 1.000 0.211 1.214
0.800 1.000 0.446 1.214
0.700 1.000 0.713 1.214
0.500 0.000 1.386 1.214
0.300 0.000 2.408 1.214
0.200 0.000 3.219 1.214
0.100 0.000 4.605 1.214
0.050 0.000 5.991 1.214
0.020 0.000 7.824 1.214
0.010 0.000 9.210 1.214
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 0.016
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
I |
U11 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U12 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U13 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U14 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
S |
U11 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
U12 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U13 2.000 2.0000 0.0000 0.0000 0.0000 1.000 0.000
U14 3.000 3.0000 0.0000 0.0000 0.0000 1.000 0.000
I WITH
S 0.000 -0.0071 0.0000 0.0537 0.0001 1.000 0.000
Means
I 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
S -0.500 -0.4068 0.0000 0.0530 0.0087 1.000 1.000
Thresholds
U11$1 -0.500 -0.4935 0.0000 0.0580 0.0000 1.000 1.000
U12$1 -0.500 -0.4935 0.0000 0.0580 0.0000 1.000 1.000
U13$1 -0.500 -0.4935 0.0000 0.0580 0.0000 1.000 1.000
U14$1 -0.500 -0.4935 0.0000 0.0580 0.0000 1.000 1.000
Variances
I 0.500 0.4389 0.0000 0.1142 0.0037 1.000 1.000
S 0.100 0.0420 0.0000 0.0350 0.0034 1.000 0.000
Scales
U11 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U12 0.913 1.0598 0.0000 0.1486 0.0215 1.000 1.000
U13 0.745 1.0116 0.0000 0.1924 0.0711 1.000 1.000
U14 0.598 0.7719 0.0000 0.1535 0.0302 1.000 1.000
QUALITY OF NUMERICAL RESULTS
Average Condition Number for the Information Matrix 0.496E-03
(ratio of smallest to largest eigenvalue)
TECHNICAL OUTPUT
PARAMETER SPECIFICATION
TAU
U11$1 U12$1 U13$1 U14$1
________ ________ ________ ________
1 1 1 1
NU
U11 U12 U13 U14
________ ________ ________ ________
0 0 0 0
LAMBDA
I S
________ ________
U11 0 0
U12 0 0
U13 0 0
U14 0 0
ALPHA
I S
________ ________
0 2
BETA
I S
________ ________
I 0 0
S 0 0
PSI
I S
________ ________
I 3
S 4 5
DELTA
U11 U12 U13 U14
________ ________ ________ ________
0 6 7 8
STARTING VALUES
TAU
U11$1 U12$1 U13$1 U14$1
________ ________ ________ ________
-0.500 -0.500 -0.500 -0.500
NU
U11 U12 U13 U14
________ ________ ________ ________
0.000 0.000 0.000 0.000
LAMBDA
I S
________ ________
U11 1.000 0.000
U12 1.000 1.000
U13 1.000 2.000
U14 1.000 3.000
ALPHA
I S
________ ________
0.000 -0.500
BETA
I S
________ ________
I 0.000 0.000
S 0.000 0.000
PSI
I S
________ ________
I 0.500
S 0.000 0.100
DELTA
U11 U12 U13 U14
________ ________ ________ ________
1.000 0.913 0.745 0.598
POPULATION VALUES
TAU
U11$1 U12$1 U13$1 U14$1
________ ________ ________ ________
-0.500 -0.500 -0.500 -0.500
NU
U11 U12 U13 U14
________ ________ ________ ________
0.000 0.000 0.000 0.000
LAMBDA
I S
________ ________
U11 1.000 0.000
U12 1.000 1.000
U13 1.000 2.000
U14 1.000 3.000
THETA
U11 U12 U13 U14
________ ________ ________ ________
U11 0.500
U12 0.000 0.600
U13 0.000 0.000 0.900
U14 0.000 0.000 0.000 1.400
ALPHA
I S
________ ________
0.000 -0.500
BETA
I S
________ ________
I 0.000 0.000
S 0.000 0.000
PSI
I S
________ ________
I 0.500
S 0.000 0.100
TECHNICAL 9 OUTPUT
Error messages for each replication (if any)
SAVEDATA INFORMATION
Order of variables
U11
U12
U13
U14
Save file
ex6.4.dat
Save file format Free
Save file record length 10000
Beginning Time: 22:24:25
Ending Time: 22:24:25
Elapsed Time: 00:00:00
MUTHEN & MUTHEN
3463 Stoner Ave.
Los Angeles, CA 90066
Tel: (310) 391-9971
Fax: (310) 391-8971
Web: www.StatModel.com
Support: Support@StatModel.com
Copyright (c) 1998-2022 Muthen & Muthen
Back to examples