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

INPUT INSTRUCTIONS

  TITLE: cat5
           path analysis with a final dependent variable that is binary

  DATA: FILE IS big.dat;
          FORMAT IS
            2f5,f2,t14,5f7,t50,f8,t60,6f1.0,t67,2f2.0,t71,8f1.0,t79,f2.0,t82,4f2.0;

  VARIABLE: NAMES ARE
                  g1-g9
                  y1 y2 y3 y4 y5 y6
                  y7 y8 x1-x13;
          USEOBS = g3 EQ 64 ;
          USEVAR ARE y5 y8 x1-x4 x8;
          MISSING ARE .;
          CATEGORICAL IS y8;

  DEFINE: CUT y8(1.5);

  !        y8 is originally a continuous outcome variable with a strong floor
  !        effect. It is dichotomized by the CUT option above.

  ANALYSIS: TYPE=MEANSTRUCTURE;

  MODEL: y8 ON y5 x8;
           y5 ON x1-x4 x8;

  !        this is a path analysis model, where the influence of x1-x4 on the
  !        dichotomous outcome y8 is mediated by the continuous outcome y5 and
  !        where x8 has a direct influence on y8. While y5 is related to x1-x4 and
  !     x8 by an ordinary linear regression, y8 is related to y5 and x8 by a
  !     probit regression. The model imposes 4 restrictions (4 d.f.) in that
  !     x1-x4 are not influencing y8 directly.

  OUTPUT: sampstat;












*** WARNING in ANALYSIS command
  Starting with Version 5, TYPE=MEANSTRUCTURE is the default for all
  analyses.  To remove means from the model, use
  MODEL=NOMEANSTRUCTURE in the ANALYSIS command.
*** WARNING
  Data set contains cases with missing on x-variables.
  These cases were not included in the analysis.
  Number of cases with missing on x-variables:  40
*** 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:  40
   3 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS



cat5
path analysis with a final dependent variable that is binary

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                        1185

Number of dependent variables                                    2
Number of independent variables                                  5
Number of continuous latent variables                            0

Observed dependent variables

  Continuous
   Y5

  Binary and ordered categorical (ordinal)
   Y8

Observed independent variables
   X1          X2          X3          X4          X8


Estimator                                                    WLSMV
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
Parameterization                                             DELTA

Input data file(s)
  big.dat

Input data format
  (2F5,F2,T14,5F7,T50,F8,T60,6F1.0,T67,2F2.0,T71,8F1.0,T79,F2.0,T82,4F2.0)


SUMMARY OF DATA

     Number of missing data patterns             3


COVARIANCE COVERAGE OF DATA

Minimum covariance coverage value   0.100


     PROPORTION OF DATA PRESENT


           Covariance Coverage
              Y5            Y8
              ________      ________
 Y5             0.979
 Y8             0.824         0.846


UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES

    Y8
      Category 1    0.881      883.000
      Category 2    0.119      119.000


SAMPLE STATISTICS


     ESTIMATED SAMPLE STATISTICS


           MEANS/INTERCEPTS/THRESHOLDS
              Y5            Y8$1
              ________      ________
      1         0.525         1.494


           SLOPES
              X1            X2            X3            X4            X8
              ________      ________      ________      ________      ________
 Y5             0.751        -0.317        -0.167         0.322         0.048
 Y8             0.451        -0.109        -0.171         0.246         0.353


           CORRELATION MATRIX (WITH VARIANCES ON THE DIAGONAL)
              Y5            Y8
              ________      ________
 Y5             1.910
 Y8             0.310


THE MODEL ESTIMATION TERMINATED NORMALLY



TESTS OF MODEL FIT

Chi-Square Test of Model Fit

          Value                              9.140*
          Degrees of Freedom                     4
          P-Value                           0.0577

*   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.

Chi-Square Test of Model Fit for the Baseline Model

          Value                            168.946
          Degrees of Freedom                    11
          P-Value                           0.0000

CFI/TLI

          CFI                                0.967
          TLI                                0.911

Number of Free Parameters                       10

RMSEA (Root Mean Square Error Of Approximation)

          Estimate                           0.033

WRMR (Weighted Root Mean Square Residual)

          Value                              0.772



MODEL RESULTS

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

 Y8       ON
    Y5                 0.245      0.027      9.086      0.000
    X8                 0.341      0.130      2.620      0.009

 Y5       ON
    X1                 0.796      0.094      8.430      0.000
    X2                -0.322      0.110     -2.925      0.003
    X3                -0.187      0.122     -1.529      0.126
    X4                 0.343      0.105      3.251      0.001
    X8                 0.048      0.101      0.478      0.633

 Intercepts
    Y5                 0.526      0.103      5.096      0.000

 Thresholds
    Y8$1               1.623      0.103     15.707      0.000

 Residual Variances
    Y5                 1.893      0.079     23.941      0.000


R-SQUARE

    Observed                   Residual
    Variable        Estimate   Variance

    Y5                 0.099
    Y8                 0.141      0.887


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.418E-01
       (ratio of smallest to largest eigenvalue)


     Beginning Time:  22:57:57
        Ending Time:  22:57:57
       Elapsed Time:  00:00:00



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