```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

montecarlo:
names = y1 y2;
ngroups = 2;
nobs = 1000 1000;
nreps = 1;
save = ex5.21.dat;

model population:
[y1-y2*0];
y1-y2*1;
y1 WITH y2*0.73; ! Value for MZ twins

model population-g2:
y1 WITH y2*0.41;  ! Value for DZ twins

model:
[y1-y2*0] (1);
y1-y2*1 (var);
y1 WITH y2*0.73(covmz);

model g2:
y1 WITH y2*0.41(covdz);

model constraint:
NEW(a*.8 c*.3 e*.52 h*.64);
var = a**2 + c**2 + e**2;
covmz = a**2 + c**2;
covdz = 0.5*a**2 + c**2;
h = a**2/(a**2 + c**2 + e**2);

output:
tech9;

this is an example of a 2-group twin model

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                            0

Observed dependent variables

Continuous
Y1          Y2

Estimator                                                       ML
Information matrix                                        OBSERVED
Maximum number of iterations                                  1000
Convergence criterion                                    0.500D-04
Maximum number of steepest descent iterations                   20

SAMPLE STATISTICS FOR THE FIRST REPLICATION

SAMPLE STATISTICS FOR G1

Means
Y1            Y2
________      ________
0.013         0.035

Covariances
Y1            Y2
________      ________
Y1             0.992
Y2             0.759         1.055

Correlations
Y1            Y2
________      ________
Y1             1.000
Y2             0.741         1.000

SAMPLE STATISTICS FOR G2

Means
Y1            Y2
________      ________
-0.017         0.006

Covariances
Y1            Y2
________      ________
Y1             0.984
Y2             0.429         1.042

Correlations
Y1            Y2
________      ________
Y1             1.000
Y2             0.423         1.000

MODEL FIT INFORMATION

Number of Free Parameters                        4

Loglikelihood

H0 Value

Mean                             -5216.004
Std Dev                              0.000
Number of successful computations        1

Proportions                   Percentiles
Expected    Observed         Expected       Observed
0.990       0.000        -5216.004      -5216.004
0.980       0.000        -5216.004      -5216.004
0.950       0.000        -5216.004      -5216.004
0.900       0.000        -5216.004      -5216.004
0.800       0.000        -5216.004      -5216.004
0.700       0.000        -5216.004      -5216.004
0.500       0.000        -5216.004      -5216.004
0.300       0.000        -5216.004      -5216.004
0.200       0.000        -5216.004      -5216.004
0.100       0.000        -5216.004      -5216.004
0.050       0.000        -5216.004      -5216.004
0.020       0.000        -5216.004      -5216.004
0.010       0.000        -5216.004      -5216.004

H1 Value

Mean                             -5213.423
Std Dev                              0.000
Number of successful computations        1

Proportions                   Percentiles
Expected    Observed         Expected       Observed
0.990       0.000        -5213.423      -5213.423
0.980       0.000        -5213.423      -5213.423
0.950       0.000        -5213.423      -5213.423
0.900       0.000        -5213.423      -5213.423
0.800       0.000        -5213.423      -5213.423
0.700       0.000        -5213.423      -5213.423
0.500       0.000        -5213.423      -5213.423
0.300       0.000        -5213.423      -5213.423
0.200       0.000        -5213.423      -5213.423
0.100       0.000        -5213.423      -5213.423
0.050       0.000        -5213.423      -5213.423
0.020       0.000        -5213.423      -5213.423
0.010       0.000        -5213.423      -5213.423

Information Criteria

Akaike (AIC)

Mean                             10440.008
Std Dev                              0.000
Number of successful computations        1

Proportions                   Percentiles
Expected    Observed         Expected       Observed
0.990       0.000        10440.008      10440.008
0.980       0.000        10440.008      10440.008
0.950       0.000        10440.008      10440.008
0.900       0.000        10440.008      10440.008
0.800       0.000        10440.008      10440.008
0.700       0.000        10440.008      10440.008
0.500       0.000        10440.008      10440.008
0.300       0.000        10440.008      10440.008
0.200       0.000        10440.008      10440.008
0.100       0.000        10440.008      10440.008
0.050       0.000        10440.008      10440.008
0.020       0.000        10440.008      10440.008
0.010       0.000        10440.008      10440.008

Bayesian (BIC)

Mean                             10462.411
Std Dev                              0.000
Number of successful computations        1

Proportions                   Percentiles
Expected    Observed         Expected       Observed
0.990       0.000        10462.411      10462.411
0.980       0.000        10462.411      10462.411
0.950       0.000        10462.411      10462.411
0.900       0.000        10462.411      10462.411
0.800       0.000        10462.411      10462.411
0.700       0.000        10462.411      10462.411
0.500       0.000        10462.411      10462.411
0.300       0.000        10462.411      10462.411
0.200       0.000        10462.411      10462.411
0.100       0.000        10462.411      10462.411
0.050       0.000        10462.411      10462.411
0.020       0.000        10462.411      10462.411
0.010       0.000        10462.411      10462.411

Sample-Size Adjusted BIC (n* = (n + 2) / 24)

Mean                             10449.703
Std Dev                              0.000
Number of successful computations        1

Proportions                   Percentiles
Expected    Observed         Expected       Observed
0.990       0.000        10449.703      10449.703
0.980       0.000        10449.703      10449.703
0.950       0.000        10449.703      10449.703
0.900       0.000        10449.703      10449.703
0.800       0.000        10449.703      10449.703
0.700       0.000        10449.703      10449.703
0.500       0.000        10449.703      10449.703
0.300       0.000        10449.703      10449.703
0.200       0.000        10449.703      10449.703
0.100       0.000        10449.703      10449.703
0.050       0.000        10449.703      10449.703
0.020       0.000        10449.703      10449.703
0.010       0.000        10449.703      10449.703

Chi-Square Test of Model Fit

Degrees of freedom                       6

Mean                                 5.161
Std Dev                              0.000
Number of successful computations        1

Proportions                   Percentiles
Expected    Observed         Expected       Observed
0.990       1.000            0.872          5.161
0.980       1.000            1.134          5.161
0.950       1.000            1.635          5.161
0.900       1.000            2.204          5.161
0.800       1.000            3.070          5.161
0.700       1.000            3.828          5.161
0.500       0.000            5.348          5.161
0.300       0.000            7.231          5.161
0.200       0.000            8.558          5.161
0.100       0.000           10.645          5.161
0.050       0.000           12.592          5.161
0.020       0.000           15.033          5.161
0.010       0.000           16.812          5.161

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                                 0.103
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       0.000
0.050       0.000
0.020       0.000
0.010       0.000

MODEL RESULTS

ESTIMATES              S. E.     M. S. E.  95%  % Sig
Population   Average   Std. Dev.   Average             Cover Coeff

Group G1

Y1       WITH
Y2                  0.730     0.7530     0.0000     0.0278     0.0005 1.000 1.000

Means
Y1                  0.000     0.0079     0.0000     0.0200     0.0001 1.000 0.000
Y2                  0.000     0.0079     0.0000     0.0200     0.0001 1.000 0.000

Variances
Y1                  1.000     1.0180     0.0000     0.0263     0.0003 1.000 1.000
Y2                  1.000     1.0180     0.0000     0.0263     0.0003 1.000 1.000

Group G2

Y1       WITH
Y2                  0.410     0.4320     0.0000     0.0309     0.0005 1.000 1.000

Means
Y1                  0.000     0.0079     0.0000     0.0200     0.0001 1.000 0.000
Y2                  0.000     0.0079     0.0000     0.0200     0.0001 1.000 0.000

Variances
Y1                  1.000     1.0180     0.0000     0.0263     0.0003 1.000 1.000
Y2                  1.000     1.0180     0.0000     0.0263     0.0003 1.000 1.000

A                   0.800     0.8012     0.0000     0.0346     0.0000 1.000 1.000
C                   0.300     0.3332     0.0000     0.0776     0.0011 1.000 1.000
E                   0.520     0.5148     0.0000     0.0114     0.0000 1.000 1.000
H                   0.640     0.6306     0.0000     0.0533     0.0001 1.000 1.000

QUALITY OF NUMERICAL RESULTS

Average Condition Number for the Information Matrix      0.956E-04
(ratio of smallest to largest eigenvalue)

TECHNICAL OUTPUT

PARAMETER SPECIFICATION FOR G1

NU
Y1            Y2
________      ________
1             1

THETA
Y1            Y2
________      ________
Y1                 2
Y2                 3             2

PARAMETER SPECIFICATION FOR G2

NU
Y1            Y2
________      ________
1             1

THETA
Y1            Y2
________      ________
Y1                 2
Y2                 4             2

PARAMETER SPECIFICATION FOR THE ADDITIONAL PARAMETERS

A             C             E             H
________      ________      ________      ________
5             6             7             8

STARTING VALUES FOR G1

NU
Y1            Y2
________      ________
0.000         0.000

THETA
Y1            Y2
________      ________
Y1             1.000
Y2             0.730         1.000

STARTING VALUES FOR G2

NU
Y1            Y2
________      ________
0.000         0.000

THETA
Y1            Y2
________      ________
Y1             1.000
Y2             0.410         1.000

STARTING VALUES FOR THE ADDITIONAL PARAMETERS

A             C             E             H
________      ________      ________      ________
0.800         0.300         0.520         0.640

POPULATION VALUES FOR G1

NU
Y1            Y2
________      ________
0.000         0.000

THETA
Y1            Y2
________      ________
Y1             1.000
Y2             0.730         1.000

POPULATION VALUES FOR G2

NU
Y1            Y2
________      ________
0.000         0.000

THETA
Y1            Y2
________      ________
Y1             1.000
Y2             0.410         1.000

TECHNICAL 9 OUTPUT

Error messages for each replication (if any)

SAVEDATA INFORMATION

Order of variables

Y1
Y2
GROUP

Save file
ex5.21.dat

Save file format           Free
Save file record length    10000

Beginning Time:  22:23:05
Ending Time:  22:23:05
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
```