Mplus VERSION 7
MUTHEN & MUTHEN
09/22/2012  10:51 PM

INPUT INSTRUCTIONS

  TITLE:	this is an example of a path analysis
  	with categorical dependent variables using
  	the Theta parameterization
  DATA:	FILE IS ex3.13.dat;
  VARIABLE:	NAMES ARE u1-u3 x1-x3;
  	CATEGORICAL ARE u1-u3;
  ANALYSIS:	PARAMETERIZATION = THETA;
  MODEL:	u1 u2 ON x1 x2 x3;
  	u3 ON u1 u2 x2;



INPUT READING TERMINATED NORMALLY



this is an example of a path analysis
with categorical dependent variables using
the Theta parameterization

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                        1000

Number of dependent variables                                    3
Number of independent variables                                  3
Number of continuous latent variables                            0

Observed dependent variables

  Binary and ordered categorical (ordinal)
   U1          U2          U3

Observed independent variables
   X1          X2          X3


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

Input data file(s)
  ex3.13.dat

Input data format  FREE


UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES

    U1
      Category 1    0.420      420.000
      Category 2    0.207      207.000
      Category 3    0.373      373.000
    U2
      Category 1    0.544      544.000
      Category 2    0.456      456.000
    U3
      Category 1    0.434      434.000
      Category 2    0.110      110.000
      Category 3    0.101      101.000
      Category 4    0.355      355.000



THE MODEL ESTIMATION TERMINATED NORMALLY



MODEL FIT INFORMATION

Number of Free Parameters                       15

Chi-Square Test of Model Fit

          Value                              6.871*
          Degrees of Freedom                     3
          P-Value                           0.0761

*   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                           0.036
          90 Percent C.I.                    0.000  0.072
          Probability RMSEA <= .05           0.691

CFI/TLI

          CFI                                0.998
          TLI                                0.991

Chi-Square Test of Model Fit for the Baseline Model

          Value                           1810.771
          Degrees of Freedom                    12
          P-Value                           0.0000

WRMR (Weighted Root Mean Square Residual)

          Value                              0.612



MODEL RESULTS

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

 U1       ON
    X1                 2.917      0.152     19.148      0.000
    X2                 1.926      0.103     18.655      0.000
    X3                 1.030      0.077     13.461      0.000

 U2       ON
    X1                 1.046      0.105      9.933      0.000
    X2                 2.084      0.175     11.908      0.000
    X3                 3.213      0.230     13.984      0.000

 U3       ON
    U1                 1.110      0.184      6.023      0.000
    U2                -1.027      0.196     -5.248      0.000
    X2                 2.188      0.324      6.757      0.000

 Thresholds
    U1$1              -0.957      0.081    -11.783      0.000
    U1$2               1.109      0.087     12.761      0.000
    U2$1               0.064      0.080      0.806      0.420
    U3$1              -0.653      0.127     -5.135      0.000
    U3$2               0.523      0.124      4.219      0.000
    U3$3               1.593      0.225      7.068      0.000


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.172E-02
       (ratio of smallest to largest eigenvalue)


     Beginning Time:  22:51:43
        Ending Time:  22:51:43
       Elapsed Time:  00:00:00



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