Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022  11:11 PM

INPUT INSTRUCTIONS

  TITLE:	this is an example of a two-group
  twin model for categorical outcomes where
  factors represent the ACE components
  DATA:	FILE = ex5.19.dat;	
  VARIABLE:	NAMES = u1 u2 g;
  	CATEGORICAL = u1-u2;
  	GROUPING = g (1 = mz 2 = dz);
  ANALYSIS:MODEL=NOCOVARIANCES;
  MODEL:	[u1$1-u2$1] (1);
  	a1 BY u1*   (2);
  	a2 BY u2*   (2);
  	c1 BY u1*   (3);
  	c2 BY u2*   (3);
  	a1-c2@1;
  	[a1-c2@0];
  	a1 WITH a2@1;
  	c1 WITH c2@1;
  MODEL dz:	a1 WITH a2@.5;
  	{u1-u2@1};



INPUT READING TERMINATED NORMALLY



this is an example of a two-group
twin model for categorical outcomes where
factors represent the ACE components

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                            4

Observed dependent variables

  Binary and ordered categorical (ordinal)
   U1          U2

Continuous latent variables
   A1          A2          C1          C2

Variables with special functions

  Grouping variable     G

Estimator                                                    WLSMV
Maximum number of iterations                                  1000
Convergence criterion                                    0.500D-04
Maximum number of steepest descent iterations                   20
Parameterization                                             DELTA
Link                                                        PROBIT

Input data file(s)
  ex5.19.dat

Input data format  FREE


UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES

  Group MZ
    U1
      Category 1    0.502          502.000
      Category 2    0.498          498.000
    U2
      Category 1    0.494          494.000
      Category 2    0.506          506.000

  Group DZ
    U1
      Category 1    0.504          504.000
      Category 2    0.496          496.000
    U2
      Category 1    0.511          511.000
      Category 2    0.489          489.000



THE MODEL ESTIMATION TERMINATED NORMALLY

     WARNING:  THE LATENT VARIABLE COVARIANCE MATRIX (PSI) IN GROUP MZ
     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.


     WARNING:  THE LATENT VARIABLE COVARIANCE MATRIX (PSI) IN GROUP DZ
     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.




MODEL FIT INFORMATION

Number of Free Parameters                        3

Chi-Square Test of Model Fit

          Value                              0.905*
          Degrees of Freedom                     3
          P-Value                           0.8242

Chi-Square Contribution From Each Group

          MZ                                 0.476
          DZ                                 0.429

*   The chi-square value for MLM, MLMV, MLR, ULSMV, WLSM and WLSMV cannot be used
    for chi-square difference testing in the regular way.  MLM, MLR and WLSM
    chi-square difference testing is described on the Mplus website.  MLMV, WLSMV,
    and ULSMV difference testing is done using the DIFFTEST option.

RMSEA (Root Mean Square Error Of Approximation)

          Estimate                           0.000
          90 Percent C.I.                    0.000  0.032
          Probability RMSEA <= .05           0.992

CFI/TLI

          CFI                                1.000
          TLI                                1.000

Chi-Square Test of Model Fit for the Baseline Model

          Value                            952.816
          Degrees of Freedom                     2
          P-Value                           0.0000

SRMR (Standardized Root Mean Square Residual)

          Value                              0.005

Optimum Function Value for Weighted Least-Squares Estimator

          Value                     0.14675290D-03



MODEL RESULTS

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

Group MZ

 A1       BY
    U1                 0.848      0.060     14.119      0.000

 A2       BY
    U2                 0.848      0.060     14.119      0.000

 C1       BY
    U1                 0.229      0.199      1.149      0.250

 C2       BY
    U2                 0.229      0.199      1.149      0.250

 A1       WITH
    A2                 1.000      0.000    999.000    999.000

 C1       WITH
    C2                 1.000      0.000    999.000    999.000

 Means
    A1                 0.000      0.000    999.000    999.000
    A2                 0.000      0.000    999.000    999.000
    C1                 0.000      0.000    999.000    999.000
    C2                 0.000      0.000    999.000    999.000

 Thresholds
    U1$1               0.007      0.024      0.292      0.770
    U2$1               0.007      0.024      0.292      0.770

 Variances
    A1                 1.000      0.000    999.000    999.000
    A2                 1.000      0.000    999.000    999.000
    C1                 1.000      0.000    999.000    999.000
    C2                 1.000      0.000    999.000    999.000

 Scales
    U1                 1.000      0.000    999.000    999.000
    U2                 1.000      0.000    999.000    999.000

Group DZ

 A1       BY
    U1                 0.848      0.060     14.119      0.000

 A2       BY
    U2                 0.848      0.060     14.119      0.000

 C1       BY
    U1                 0.229      0.199      1.149      0.250

 C2       BY
    U2                 0.229      0.199      1.149      0.250

 A1       WITH
    A2                 0.500      0.000    999.000    999.000

 C1       WITH
    C2                 1.000      0.000    999.000    999.000

 Means
    A1                 0.000      0.000    999.000    999.000
    A2                 0.000      0.000    999.000    999.000
    C1                 0.000      0.000    999.000    999.000
    C2                 0.000      0.000    999.000    999.000

 Thresholds
    U1$1               0.007      0.024      0.292      0.770
    U2$1               0.007      0.024      0.292      0.770

 Variances
    A1                 1.000      0.000    999.000    999.000
    A2                 1.000      0.000    999.000    999.000
    C1                 1.000      0.000    999.000    999.000
    C2                 1.000      0.000    999.000    999.000

 Scales
    U1                 1.000      0.000    999.000    999.000
    U2                 1.000      0.000    999.000    999.000


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.470E-02
       (ratio of smallest to largest eigenvalue)


R-SQUARE

Group MZ

    Observed                   Residual
    Variable        Estimate   Variance

    U1                 0.771      0.229
    U2                 0.771      0.229

Group DZ

    Observed                   Residual
    Variable        Estimate   Variance

    U1                 0.771      0.229
    U2                 0.771      0.229


     Beginning Time:  23:11:17
        Ending Time:  23:11:18
       Elapsed Time:  00:00:01



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