```Mplus VERSION 6
MUTHEN & MUTHEN
04/25/2010  10:57 PM

INPUT INSTRUCTIONS

! SCRIPT NAME        : rawVC1a  (dp)
! GOAL                : To evaluate best model for variance components
! DATA                : continuous
! INPUT                : raw data
! UNI/BI/MULTI        : uni
! DATA-GROUPS        : MZ DZ
! MEANS MODEL        : grand mean, age effect, sex effect
! VARIANCE COVARIANCE MODEL(S)        ## 1.ACE  2.AE  3.CE  4.E

data: file is example.dat;

variable:

names are country famid zygos sex1 age1 height1 weight1 bmi1
sex2 age2 height2 weight2 bmi2;

usevar are bmi1 sex1 age1 bmi2 sex2 age2 g;

grouping=g(1=MZ 2=DZ);  ! specify the two groups MZ and DZ

missing=all(-1); ! specify missing data symbol

define: if (zygos==1 .or. zygos==3) then g=1 else g=2; ! defines the two groups

model :
bmi1 on sex1 (b1)
age1 (b2);
bmi2 on sex2 (b1)
age2 (b2);
[bmi1 bmi2] (m);
bmi1 bmi2 (v);
bmi1 with bmi2 (c1);

model DZ:
bmi1 with bmi2 (c2);

model constraint:

! Uncomment for Model ACE
new(a c e x y z);
a=x*x;
c=y*y;
e=z*z;
v=a+c+e;
c1=a+c;
c2=0.5*a+c;

! Uncomment for Model AE
! c=0;

! Uncomment for Model CE
! a=0;

! Uncomment for Model E
! a=0; c=0;

*** WARNING
Data set contains cases with missing on all variables except
x-variables.  These cases were not included in the analysis.
Number of cases with missing on all variables except x-variables:  3
1 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS

SUMMARY OF ANALYSIS

Number of groups                                                 2
Number of observations
Group MZ                                                    138
Group DZ                                                    166

Number of dependent variables                                    2
Number of independent variables                                  4
Number of continuous latent variables                            0

Observed dependent variables

Continuous
BMI1        BMI2

Observed independent variables
SEX1        AGE1        SEX2        AGE2

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
Maximum number of iterations for H1                           2000
Convergence criterion for H1                             0.100D-03

Input data file(s)
example.dat

Input data format  FREE

SUMMARY OF DATA

Group MZ
Number of missing data patterns             3

Group DZ
Number of missing data patterns             3

COVARIANCE COVERAGE OF DATA

Minimum covariance coverage value   0.100

PROPORTION OF DATA PRESENT FOR MZ

Covariance Coverage
BMI1          BMI2          SEX1          AGE1          SEX2
________      ________      ________      ________      ________
BMI1           0.935
BMI2           0.891         0.957
SEX1           0.935         0.957         1.000
AGE1           0.935         0.957         1.000         1.000
SEX2           0.935         0.957         1.000         1.000         1.000
AGE2           0.935         0.957         1.000         1.000         1.000

Covariance Coverage
AGE2
________
AGE2           1.000

PROPORTION OF DATA PRESENT FOR DZ

Covariance Coverage
BMI1          BMI2          SEX1          AGE1          SEX2
________      ________      ________      ________      ________
BMI1           0.940
BMI2           0.843         0.904
SEX1           0.940         0.904         1.000
AGE1           0.940         0.904         1.000         1.000
SEX2           0.940         0.904         1.000         1.000         1.000
AGE2           0.940         0.904         1.000         1.000         1.000

Covariance Coverage
AGE2
________
AGE2           1.000

THE MODEL ESTIMATION TERMINATED NORMALLY

THE STANDARD ERRORS OF THE MODEL PARAMETER ESTIMATES MAY NOT BE
TRUSTWORTHY FOR SOME PARAMETERS DUE TO A NON-POSITIVE DEFINITE
FIRST-ORDER DERIVATIVE PRODUCT MATRIX.  THIS MAY BE DUE TO THE STARTING
VALUES BUT MAY ALSO BE AN INDICATION OF MODEL NONIDENTIFICATION.  THE
CONDITION NUMBER IS       0.420D-13.  PROBLEM INVOLVING PARAMETER 11.

TESTS OF MODEL FIT

Chi-Square Test of Model Fit

Value                             30.813
Degrees of Freedom                    20
P-Value                           0.0577

Chi-Square Contributions From Each Group

MZ                                11.353
DZ                                19.460

Chi-Square Test of Model Fit for the Baseline Model

Value                            188.497
Degrees of Freedom                    18
P-Value                           0.0000

CFI/TLI

CFI                                0.937
TLI                                0.943

Loglikelihood

H0 Value                       -4327.091
H1 Value                       -4311.684

Information Criteria

Number of Free Parameters              6
Akaike (AIC)                    8666.182
Bayesian (BIC)                  8688.484
(n* = (n + 2) / 24)

RMSEA (Root Mean Square Error Of Approximation)

Estimate                           0.060
90 Percent C.I.                    0.000  0.099
Probability RMSEA <= .05           0.321

SRMR (Standardized Root Mean Square Residual)

Value                              0.120

MODEL RESULTS

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

Group MZ

BMI1     ON
SEX1               0.837      0.340      2.463      0.014
AGE1               0.097      0.014      6.773      0.000

BMI2     ON
SEX2               0.837      0.340      2.463      0.014
AGE2               0.097      0.014      6.773      0.000

BMI1     WITH
BMI2               9.655      0.991      9.739      0.000

Intercepts
BMI1              20.220      0.590     34.254      0.000
BMI2              20.220      0.590     34.254      0.000

Residual Variances
BMI1              13.197      0.882     14.966      0.000
BMI2              13.197      0.882     14.966      0.000

Group DZ

BMI1     ON
SEX1               0.837      0.340      2.463      0.014
AGE1               0.097      0.014      6.773      0.000

BMI2     ON
SEX2               0.837      0.340      2.463      0.014
AGE2               0.097      0.014      6.773      0.000

BMI1     WITH
BMI2               4.827      0.496      9.739      0.000

Intercepts
BMI1              20.220      0.590     34.254      0.000
BMI2              20.220      0.590     34.254      0.000

Residual Variances
BMI1              13.197      0.882     14.966      0.000
BMI2              13.197      0.882     14.966      0.000

A                  9.655      0.991      9.739      0.000
C                  0.000      0.000      0.000      1.000
E                  3.542      0.456      7.764      0.000
X                  3.107      0.160     19.477      0.000
Y                  0.000      0.755      0.000      1.000
Z                  1.882      0.121     15.529      0.000

QUALITY OF NUMERICAL RESULTS

Condition Number for the Information Matrix              0.205E-04
(ratio of smallest to largest eigenvalue)

TECHNICAL 1 OUTPUT

PARAMETER SPECIFICATION FOR MZ

NU
BMI1          BMI2          SEX1          AGE1          SEX2
________      ________      ________      ________      ________
1           0             0             0             0             0

NU
AGE2
________
1           0

LAMBDA
BMI1          BMI2          SEX1          AGE1          SEX2
________      ________      ________      ________      ________
BMI1               0             0             0             0             0
BMI2               0             0             0             0             0
SEX1               0             0             0             0             0
AGE1               0             0             0             0             0
SEX2               0             0             0             0             0
AGE2               0             0             0             0             0

LAMBDA
AGE2
________
BMI1               0
BMI2               0
SEX1               0
AGE1               0
SEX2               0
AGE2               0

THETA
BMI1          BMI2          SEX1          AGE1          SEX2
________      ________      ________      ________      ________
BMI1               0
BMI2               0             0
SEX1               0             0             0
AGE1               0             0             0             0
SEX2               0             0             0             0             0
AGE2               0             0             0             0             0

THETA
AGE2
________
AGE2               0

ALPHA
BMI1          BMI2          SEX1          AGE1          SEX2
________      ________      ________      ________      ________
1           1             1             0             0             0

ALPHA
AGE2
________
1           0

BETA
BMI1          BMI2          SEX1          AGE1          SEX2
________      ________      ________      ________      ________
BMI1               0             0             2             3             0
BMI2               0             0             0             0             2
SEX1               0             0             0             0             0
AGE1               0             0             0             0             0
SEX2               0             0             0             0             0
AGE2               0             0             0             0             0

BETA
AGE2
________
BMI1               0
BMI2               3
SEX1               0
AGE1               0
SEX2               0
AGE2               0

PSI
BMI1          BMI2          SEX1          AGE1          SEX2
________      ________      ________      ________      ________
BMI1               4
BMI2               5             4
SEX1               0             0             0
AGE1               0             0             0             0
SEX2               0             0             0             0             0
AGE2               0             0             0             0             0

PSI
AGE2
________
AGE2               0

PARAMETER SPECIFICATION FOR DZ

NU
BMI1          BMI2          SEX1          AGE1          SEX2
________      ________      ________      ________      ________
1           0             0             0             0             0

NU
AGE2
________
1           0

LAMBDA
BMI1          BMI2          SEX1          AGE1          SEX2
________      ________      ________      ________      ________
BMI1               0             0             0             0             0
BMI2               0             0             0             0             0
SEX1               0             0             0             0             0
AGE1               0             0             0             0             0
SEX2               0             0             0             0             0
AGE2               0             0             0             0             0

LAMBDA
AGE2
________
BMI1               0
BMI2               0
SEX1               0
AGE1               0
SEX2               0
AGE2               0

THETA
BMI1          BMI2          SEX1          AGE1          SEX2
________      ________      ________      ________      ________
BMI1               0
BMI2               0             0
SEX1               0             0             0
AGE1               0             0             0             0
SEX2               0             0             0             0             0
AGE2               0             0             0             0             0

THETA
AGE2
________
AGE2               0

ALPHA
BMI1          BMI2          SEX1          AGE1          SEX2
________      ________      ________      ________      ________
1           1             1             0             0             0

ALPHA
AGE2
________
1           0

BETA
BMI1          BMI2          SEX1          AGE1          SEX2
________      ________      ________      ________      ________
BMI1               0             0             2             3             0
BMI2               0             0             0             0             2
SEX1               0             0             0             0             0
AGE1               0             0             0             0             0
SEX2               0             0             0             0             0
AGE2               0             0             0             0             0

BETA
AGE2
________
BMI1               0
BMI2               3
SEX1               0
AGE1               0
SEX2               0
AGE2               0

PSI
BMI1          BMI2          SEX1          AGE1          SEX2
________      ________      ________      ________      ________
BMI1               4
BMI2               6             4
SEX1               0             0             0
AGE1               0             0             0             0
SEX2               0             0             0             0             0
AGE2               0             0             0             0             0

PSI
AGE2
________
AGE2               0

PARAMETER SPECIFICATION FOR THE ADDITIONAL PARAMETERS

A             C             E             X             Y
________      ________      ________      ________      ________
1                  7             8             9            10            11

Z
________
1                 12

STARTING VALUES FOR MZ

NU
BMI1          BMI2          SEX1          AGE1          SEX2
________      ________      ________      ________      ________
1         0.000         0.000         0.000         0.000         0.000

NU
AGE2
________
1         0.000

LAMBDA
BMI1          BMI2          SEX1          AGE1          SEX2
________      ________      ________      ________      ________
BMI1           1.000         0.000         0.000         0.000         0.000
BMI2           0.000         1.000         0.000         0.000         0.000
SEX1           0.000         0.000         1.000         0.000         0.000
AGE1           0.000         0.000         0.000         1.000         0.000
SEX2           0.000         0.000         0.000         0.000         1.000
AGE2           0.000         0.000         0.000         0.000         0.000

LAMBDA
AGE2
________
BMI1           0.000
BMI2           0.000
SEX1           0.000
AGE1           0.000
SEX2           0.000
AGE2           1.000

THETA
BMI1          BMI2          SEX1          AGE1          SEX2
________      ________      ________      ________      ________
BMI1           0.000
BMI2           0.000         0.000
SEX1           0.000         0.000         0.000
AGE1           0.000         0.000         0.000         0.000
SEX2           0.000         0.000         0.000         0.000         0.000
AGE2           0.000         0.000         0.000         0.000         0.000

THETA
AGE2
________
AGE2           0.000

ALPHA
BMI1          BMI2          SEX1          AGE1          SEX2
________      ________      ________      ________      ________
1         0.000         0.000         0.348        36.909         0.355

ALPHA
AGE2
________
1        36.568

BETA
BMI1          BMI2          SEX1          AGE1          SEX2
________      ________      ________      ________      ________
BMI1           0.000         0.000         0.000         0.000         0.000
BMI2           0.000         0.000         0.000         0.000         0.000
SEX1           0.000         0.000         0.000         0.000         0.000
AGE1           0.000         0.000         0.000         0.000         0.000
SEX2           0.000         0.000         0.000         0.000         0.000
AGE2           0.000         0.000         0.000         0.000         0.000

BETA
AGE2
________
BMI1           0.000
BMI2           0.000
SEX1           0.000
AGE1           0.000
SEX2           0.000
AGE2           0.000

PSI
BMI1          BMI2          SEX1          AGE1          SEX2
________      ________      ________      ________      ________
BMI1           6.683
BMI2           0.000         6.326
SEX1           0.000         0.000         0.444
AGE1           0.000         0.000         1.958       208.238
SEX2           0.000         0.000         0.210        -0.983         0.446
AGE2           0.000         0.000        -0.993       154.076         2.931

PSI
AGE2
________
AGE2         220.236

STARTING VALUES FOR DZ

NU
BMI1          BMI2          SEX1          AGE1          SEX2
________      ________      ________      ________      ________
1         0.000         0.000         0.000         0.000         0.000

NU
AGE2
________
1         0.000

LAMBDA
BMI1          BMI2          SEX1          AGE1          SEX2
________      ________      ________      ________      ________
BMI1           1.000         0.000         0.000         0.000         0.000
BMI2           0.000         1.000         0.000         0.000         0.000
SEX1           0.000         0.000         1.000         0.000         0.000
AGE1           0.000         0.000         0.000         1.000         0.000
SEX2           0.000         0.000         0.000         0.000         1.000
AGE2           0.000         0.000         0.000         0.000         0.000

LAMBDA
AGE2
________
BMI1           0.000
BMI2           0.000
SEX1           0.000
AGE1           0.000
SEX2           0.000
AGE2           1.000

THETA
BMI1          BMI2          SEX1          AGE1          SEX2
________      ________      ________      ________      ________
BMI1           0.000
BMI2           0.000         0.000
SEX1           0.000         0.000         0.000
AGE1           0.000         0.000         0.000         0.000
SEX2           0.000         0.000         0.000         0.000         0.000
AGE2           0.000         0.000         0.000         0.000         0.000

THETA
AGE2
________
AGE2           0.000

ALPHA
BMI1          BMI2          SEX1          AGE1          SEX2
________      ________      ________      ________      ________
1         0.000         0.000         0.325        35.344         0.181

ALPHA
AGE2
________
1        33.743

BETA
BMI1          BMI2          SEX1          AGE1          SEX2
________      ________      ________      ________      ________
BMI1           0.000         0.000         0.000         0.000         0.000
BMI2           0.000         0.000         0.000         0.000         0.000
SEX1           0.000         0.000         0.000         0.000         0.000
AGE1           0.000         0.000         0.000         0.000         0.000
SEX2           0.000         0.000         0.000         0.000         0.000
AGE2           0.000         0.000         0.000         0.000         0.000

BETA
AGE2
________
BMI1           0.000
BMI2           0.000
SEX1           0.000
AGE1           0.000
SEX2           0.000
AGE2           0.000

PSI
BMI1          BMI2          SEX1          AGE1          SEX2
________      ________      ________      ________      ________
BMI1           6.683
BMI2           0.000         6.326
SEX1           0.000         0.000         0.509
AGE1           0.000         0.000         4.240       229.798
SEX2           0.000         0.000        -0.011        -1.991         0.618
AGE2           0.000         0.000        -0.830       134.283         6.002

PSI
AGE2
________
AGE2         261.295

STARTING VALUES FOR THE ADDITIONAL PARAMETERS

A             C             E             X             Y
________      ________      ________      ________      ________
1              0.500         0.500         0.500         0.500         0.500

Z
________
1              0.500

Beginning Time:  22:57:41
Ending Time:  22:57:41
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) 1998-2010 Muthen & Muthen
```