Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 10:23 PM
INPUT INSTRUCTIONS
title: this is an example of a 2-group twin model
for a categorical outcome using probit WLSMV
montecarlo:
names = u1 u2;
ngroups = 2;
nobs = 1000 1000;
generate = u1-u2(1);
categorical = u1 u2;
nreps = 1;
save = ex5.19.dat;
model population:
[u1$1-u2$1*0] (1);
a1 BY u1*.8 (2);
a2 BY u2*.8 (2);
c1 BY u1*.3 (3);
c2 BY u2*.3 (3);
! e**2 is a residual variance and not a
! free parameter for categorical outcomes.
! Because the y* variance is 1, e**2 = .27
u1-u2@.27;
a1-c2@1;
[a1-c2@0];
a1 WITH a2@1; ! value for MZ twins
c1 WITH c2@1;
a1 WITH c1-c2@0;
a2 WITH c1-c2@0;
model population-g2:
a1 WITH a2@.5; ! Value for DZ twins
model:
[u1$1-u2$1*0] (1);
a1 BY u1*.8 (2);
a2 BY u2*.8 (2);
c1 BY u1*.3 (3);
c2 BY u2*.3 (3);
! e**2 is a residual variance and not a
! free parameter for categorical outcomes.
! Because the y* variance is 1, e**2 = .27
a1-c2@1;
[a1-c2@0];
a1 WITH a2@1; ! value for MZ twins
c1 WITH c2@1;
a1 WITH c1-c2@0;
a2 WITH c1-c2@0;
model g2:
a1 WITH a2@.5; ! Value for DZ twins
{u1-u2@1};
output:
tech9;
INPUT READING TERMINATED NORMALLY
this is an example of a 2-group twin model
for a categorical outcome using probit WLSMV
SUMMARY OF ANALYSIS
Number of groups 2
Number of observations
Group G1 1000
Group G2 1000
Total sample size 2000
Number of replications
Requested 1
Completed 1
Value of seed 0
Number of dependent variables 2
Number of independent variables 0
Number of continuous latent variables 4
Observed dependent variables
Binary and ordered categorical (ordinal)
U1 U2
Continuous latent variables
A1 A2 C1 C2
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 FOR G1
Means/Intercepts/Thresholds
U1$1 U2$1
________ ________
0.005 -0.015
Covariances/Correlations/Residual Correlations
U1 U2
________ ________
U1
U2 0.771
SAMPLE STATISTICS FOR G2
Means/Intercepts/Thresholds
U1$1 U2$1
________ ________
0.010 0.028
Covariances/Correlations/Residual Correlations
U1 U2
________ ________
U1
U2 0.411
MODEL FIT INFORMATION
Number of Free Parameters 3
Chi-Square Test of Model Fit
Degrees of freedom 3
Mean 0.905
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 1.000 0.115 0.905
0.980 1.000 0.185 0.905
0.950 1.000 0.352 0.905
0.900 1.000 0.584 0.905
0.800 0.000 1.005 0.905
0.700 0.000 1.424 0.905
0.500 0.000 2.366 0.905
0.300 0.000 3.665 0.905
0.200 0.000 4.642 0.905
0.100 0.000 6.251 0.905
0.050 0.000 7.815 0.905
0.020 0.000 9.837 0.905
0.010 0.000 11.345 0.905
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 0.005
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
MODEL RESULTS
ESTIMATES S. E. M. S. E. 95% % Sig
Population Average Std. Dev. Average Cover Coeff
Group G1
A1 BY
U1 0.800 0.8477 0.0000 0.0600 0.0023 1.000 1.000
A2 BY
U2 0.800 0.8477 0.0000 0.0600 0.0023 1.000 1.000
C1 BY
U1 0.300 0.2284 0.0000 0.1993 0.0051 1.000 0.000
C2 BY
U2 0.300 0.2284 0.0000 0.1993 0.0051 1.000 0.000
A1 WITH
A2 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
C1 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
C2 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
C1 WITH
C2 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
A2 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
A2 WITH
C2 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Means
A1 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
A2 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
C1 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
C2 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Thresholds
U1$1 0.000 0.0069 0.0000 0.0236 0.0000 1.000 0.000
U2$1 0.000 0.0069 0.0000 0.0236 0.0000 1.000 0.000
Variances
A1 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
A2 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
C1 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
C2 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Scales
U1 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U2 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Group G2
A1 BY
U1 0.800 0.8477 0.0000 0.0600 0.0023 1.000 1.000
A2 BY
U2 0.800 0.8477 0.0000 0.0600 0.0023 1.000 1.000
C1 BY
U1 0.300 0.2284 0.0000 0.1993 0.0051 1.000 0.000
C2 BY
U2 0.300 0.2284 0.0000 0.1993 0.0051 1.000 0.000
A1 WITH
A2 0.500 0.5000 0.0000 0.0000 0.0000 1.000 0.000
C1 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
C2 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
C1 WITH
C2 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
A2 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
A2 WITH
C2 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Means
A1 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
A2 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
C1 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
C2 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Thresholds
U1$1 0.000 0.0069 0.0000 0.0236 0.0000 1.000 0.000
U2$1 0.000 0.0069 0.0000 0.0236 0.0000 1.000 0.000
Variances
A1 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
A2 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
C1 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
C2 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Scales
U1 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U2 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
QUALITY OF NUMERICAL RESULTS
Average Condition Number for the Information Matrix 0.469E-02
(ratio of smallest to largest eigenvalue)
TECHNICAL OUTPUT
PARAMETER SPECIFICATION FOR G1
TAU
U1$1 U2$1
________ ________
1 1
NU
U1 U2
________ ________
0 0
LAMBDA
A1 A2 C1 C2
________ ________ ________ ________
U1 2 0 3 0
U2 0 2 0 3
ALPHA
A1 A2 C1 C2
________ ________ ________ ________
0 0 0 0
BETA
A1 A2 C1 C2
________ ________ ________ ________
A1 0 0 0 0
A2 0 0 0 0
C1 0 0 0 0
C2 0 0 0 0
PSI
A1 A2 C1 C2
________ ________ ________ ________
A1 0
A2 0 0
C1 0 0 0
C2 0 0 0 0
DELTA
U1 U2
________ ________
0 0
PARAMETER SPECIFICATION FOR G2
TAU
U1$1 U2$1
________ ________
1 1
NU
U1 U2
________ ________
0 0
LAMBDA
A1 A2 C1 C2
________ ________ ________ ________
U1 2 0 3 0
U2 0 2 0 3
ALPHA
A1 A2 C1 C2
________ ________ ________ ________
0 0 0 0
BETA
A1 A2 C1 C2
________ ________ ________ ________
A1 0 0 0 0
A2 0 0 0 0
C1 0 0 0 0
C2 0 0 0 0
PSI
A1 A2 C1 C2
________ ________ ________ ________
A1 0
A2 0 0
C1 0 0 0
C2 0 0 0 0
DELTA
U1 U2
________ ________
0 0
STARTING VALUES FOR G1
TAU
U1$1 U2$1
________ ________
0.000 0.000
NU
U1 U2
________ ________
0.000 0.000
LAMBDA
A1 A2 C1 C2
________ ________ ________ ________
U1 0.800 0.000 0.300 0.000
U2 0.000 0.800 0.000 0.300
ALPHA
A1 A2 C1 C2
________ ________ ________ ________
0.000 0.000 0.000 0.000
BETA
A1 A2 C1 C2
________ ________ ________ ________
A1 0.000 0.000 0.000 0.000
A2 0.000 0.000 0.000 0.000
C1 0.000 0.000 0.000 0.000
C2 0.000 0.000 0.000 0.000
PSI
A1 A2 C1 C2
________ ________ ________ ________
A1 1.000
A2 1.000 1.000
C1 0.000 0.000 1.000
C2 0.000 0.000 1.000 1.000
DELTA
U1 U2
________ ________
1.000 1.000
STARTING VALUES FOR G2
TAU
U1$1 U2$1
________ ________
0.000 0.000
NU
U1 U2
________ ________
0.000 0.000
LAMBDA
A1 A2 C1 C2
________ ________ ________ ________
U1 0.800 0.000 0.300 0.000
U2 0.000 0.800 0.000 0.300
ALPHA
A1 A2 C1 C2
________ ________ ________ ________
0.000 0.000 0.000 0.000
BETA
A1 A2 C1 C2
________ ________ ________ ________
A1 0.000 0.000 0.000 0.000
A2 0.000 0.000 0.000 0.000
C1 0.000 0.000 0.000 0.000
C2 0.000 0.000 0.000 0.000
PSI
A1 A2 C1 C2
________ ________ ________ ________
A1 1.000
A2 0.500 1.000
C1 0.000 0.000 1.000
C2 0.000 0.000 1.000 1.000
DELTA
U1 U2
________ ________
1.000 1.000
POPULATION VALUES FOR G1
TAU
U1$1 U2$1
________ ________
0.000 0.000
NU
U1 U2
________ ________
0.000 0.000
LAMBDA
A1 A2 C1 C2
________ ________ ________ ________
U1 0.800 0.000 0.300 0.000
U2 0.000 0.800 0.000 0.300
THETA
U1 U2
________ ________
U1 0.270
U2 0.000 0.270
ALPHA
A1 A2 C1 C2
________ ________ ________ ________
0.000 0.000 0.000 0.000
BETA
A1 A2 C1 C2
________ ________ ________ ________
A1 0.000 0.000 0.000 0.000
A2 0.000 0.000 0.000 0.000
C1 0.000 0.000 0.000 0.000
C2 0.000 0.000 0.000 0.000
PSI
A1 A2 C1 C2
________ ________ ________ ________
A1 1.000
A2 1.000 1.000
C1 0.000 0.000 1.000
C2 0.000 0.000 1.000 1.000
POPULATION VALUES FOR G2
TAU
U1$1 U2$1
________ ________
0.000 0.000
NU
U1 U2
________ ________
0.000 0.000
LAMBDA
A1 A2 C1 C2
________ ________ ________ ________
U1 0.800 0.000 0.300 0.000
U2 0.000 0.800 0.000 0.300
THETA
U1 U2
________ ________
U1 0.270
U2 0.000 0.270
ALPHA
A1 A2 C1 C2
________ ________ ________ ________
0.000 0.000 0.000 0.000
BETA
A1 A2 C1 C2
________ ________ ________ ________
A1 0.000 0.000 0.000 0.000
A2 0.000 0.000 0.000 0.000
C1 0.000 0.000 0.000 0.000
C2 0.000 0.000 0.000 0.000
PSI
A1 A2 C1 C2
________ ________ ________ ________
A1 1.000
A2 0.500 1.000
C1 0.000 0.000 1.000
C2 0.000 0.000 1.000 1.000
TECHNICAL 9 OUTPUT
Error messages for each replication (if any)
REPLICATION 1:
WARNING: THE LATENT VARIABLE COVARIANCE MATRIX (PSI) IN GROUP G1
IS NOT POSITIVE DEFINITE. THIS COULD INDICATE A NEGATIVE VARIANCE/
RESIDUAL VARIANCE FOR A LATENT VARIABLE, A CORRELATION GREATER OR EQUAL
TO ONE BETWEEN TWO LATENT VARIABLES, OR A LINEAR DEPENDENCY AMONG MORE
THAN TWO LATENT VARIABLES. CHECK THE TECH4 OUTPUT FOR MORE INFORMATION.
PROBLEM INVOLVING VARIABLE A2.
REPLICATION 1:
WARNING: THE LATENT VARIABLE COVARIANCE MATRIX (PSI) IN GROUP G2
IS NOT POSITIVE DEFINITE. THIS COULD INDICATE A NEGATIVE VARIANCE/
RESIDUAL VARIANCE FOR A LATENT VARIABLE, A CORRELATION GREATER OR EQUAL
TO ONE BETWEEN TWO LATENT VARIABLES, OR A LINEAR DEPENDENCY AMONG MORE
THAN TWO LATENT VARIABLES. CHECK THE TECH4 OUTPUT FOR MORE INFORMATION.
PROBLEM INVOLVING VARIABLE C2.
SAVEDATA INFORMATION
Order of variables
U1
U2
GROUP
Save file
ex5.19.dat
Save file format Free
Save file record length 10000
Beginning Time: 22:23:04
Ending Time: 22:23:04
Elapsed Time: 00:00:00
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