```Mplus VERSION 8
MUTHEN & MUTHEN
04/10/2017   4:41 AM

INPUT INSTRUCTIONS

TITLE:	this is an example of a two-group twin
model for  continuous outcomes using parameter
constraints
DATA:	FILE = ex5.21.dat;
VARIABLE:	NAMES = y1 y2 g;
GROUPING = g(1=mz 2=dz);
MODEL:	[y1-y2]    (1);
y1-y2      (var);
y1 WITH y2 (covmz);
MODEL dz:	y1 WITH y2 (covdz);
MODEL CONSTRAINT:
NEW(a c e h);
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);

this is an example of a two-group twin
model for  continuous outcomes using parameter
constraints

SUMMARY OF ANALYSIS

Number of groups                                                 2
Number of observations
Group MZ                                                   1000
Group DZ                                                   1000
Total sample size                                          2000

Number of dependent variables                                    2
Number of independent variables                                  0
Number of continuous latent variables                            0

Observed dependent variables

Continuous
Y1          Y2

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)
ex5.21.dat

Input data format  FREE

UNIVARIATE SAMPLE STATISTICS

UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS FOR MZ

Variable/         Mean/     Skewness/   Minimum/ % with                Percentiles
Sample Size      Variance    Kurtosis    Maximum  Min/Max      20%/60%    40%/80%    Median

Y1                    0.013      -0.062      -3.542    0.10%      -0.800     -0.277     -0.009
1000.000       0.992      -0.153       3.057    0.10%       0.264      0.871
Y2                    0.035      -0.019      -3.044    0.10%      -0.850     -0.204      0.013
1000.000       1.055      -0.175       3.124    0.10%       0.314      0.929

UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS FOR DZ

Variable/         Mean/     Skewness/   Minimum/ % with                Percentiles
Sample Size      Variance    Kurtosis    Maximum  Min/Max      20%/60%    40%/80%    Median

Y1                   -0.017       0.052      -2.675    0.10%      -0.844     -0.251     -0.026
1000.000       0.984      -0.088       3.446    0.10%       0.202      0.823
Y2                    0.006       0.091      -2.753    0.10%      -0.846     -0.252     -0.026
1000.000       1.042      -0.059       2.969    0.10%       0.244      0.845

THE MODEL ESTIMATION TERMINATED NORMALLY

MODEL FIT INFORMATION

Number of Free Parameters                        4

Loglikelihood

H0 Value                       -5216.004
H1 Value                       -5213.423

Information Criteria

Akaike (AIC)                   10440.008
Bayesian (BIC)                 10462.411
(n* = (n + 2) / 24)

Chi-Square Test of Model Fit

Value                              5.161
Degrees of Freedom                     6
P-Value                           0.5233

Chi-Square Contribution From Each Group

MZ                                 3.443
DZ                                 1.718

RMSEA (Root Mean Square Error Of Approximation)

Estimate                           0.000
90 Percent C.I.                    0.000  0.038
Probability RMSEA <= .05           0.993

CFI/TLI

CFI                                1.000
TLI                                1.000

Chi-Square Test of Model Fit for the Baseline Model

Value                            995.549
Degrees of Freedom                     2
P-Value                           0.0000

SRMR (Standardized Root Mean Square Residual)

Value                              0.022

MODEL RESULTS

Two-Tailed
Estimate       S.E.  Est./S.E.    P-Value

Group MZ

Y1       WITH
Y2                 0.753      0.028     27.122      0.000

Means
Y1                 0.008      0.020      0.395      0.693
Y2                 0.008      0.020      0.395      0.693

Variances
Y1                 1.018      0.026     38.648      0.000
Y2                 1.018      0.026     38.648      0.000

Group DZ

Y1       WITH
Y2                 0.432      0.031     13.992      0.000

Means
Y1                 0.008      0.020      0.395      0.693
Y2                 0.008      0.020      0.395      0.693

Variances
Y1                 1.018      0.026     38.648      0.000
Y2                 1.018      0.026     38.648      0.000

A                  0.801      0.035     23.156      0.000
C                  0.333      0.078      4.299      0.000
E                  0.515      0.011     45.045      0.000
H                  0.631      0.053     11.842      0.000

QUALITY OF NUMERICAL RESULTS

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

Beginning Time:  04:41:38
Ending Time:  04:41:38
Elapsed Time:  00:00:00

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