Mplus VERSION 7.3
MUTHEN & MUTHEN
09/22/2014   5:17 PM

INPUT INSTRUCTIONS

  TITLE:	this is an example of a probit regression
  		for a binary or categorical observed
  		dependent variable with two covariates
  MONTECARLO:			
  			NAMES = u1 x1 x3;
  			NOBSERVATIONS = 500;
  			NREPS = 1;
  			SEED = 53487;
  			GENERATE = u1(1);
  			CATEGORICAL = u1;
  			SAVE = ex3.4.dat;	
  MODEL POPULATION:
  			[x1-x3@0];
  			x1-x3@1;
  			u1 ON x1*1 x3*2;
  			[u1$1*1];
  			u1*1;
  MODEL:		u1 ON x1*1 x3*2;
  			[u1$1*1];



INPUT READING TERMINATED NORMALLY



this is an example of a probit regression
for a binary or categorical observed
dependent variable with two covariates

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         500

Number of replications
    Requested                                                    1
    Completed                                                    1
Value of seed                                                53487

Number of dependent variables                                    1
Number of independent variables                                  2
Number of continuous latent variables                            0

Observed dependent variables

  Binary and ordered categorical (ordinal)
   U1

Observed independent variables
   X1          X3


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



SAMPLE STATISTICS FOR THE FIRST REPLICATION


     SAMPLE STATISTICS


           Means/Intercepts/Thresholds
              U1$1
              ________
      1         0.984


           Slopes
              X1            X3
              ________      ________
 U1             1.022         2.474


           Covariances/Correlations/Residual Correlations
              U1
              ________
 U1


MODEL FIT INFORMATION

Number of Free Parameters                        3

Chi-Square Test of Model Fit

        Degrees of freedom                       0

        Mean                                 0.000
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       1.000            0.000          0.000
           0.980       1.000            0.000          0.000
           0.950       1.000            0.000          0.000
           0.900       1.000            0.000          0.000
           0.800       1.000            0.000          0.000
           0.700       1.000            0.000          0.000
           0.500       1.000            0.000          0.000
           0.300       1.000            0.000          0.000
           0.200       1.000            0.000          0.000
           0.100       1.000            0.000          0.000
           0.050       1.000            0.000          0.000
           0.020       1.000            0.000          0.000
           0.010       1.000            0.000          0.000

RMSEA (Root Mean Square Error Of Approximation)

        Mean                                 0.000
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000            0.000          0.000
           0.980       0.000            0.000          0.000
           0.950       0.000            0.000          0.000
           0.900       0.000            0.000          0.000
           0.800       0.000            0.000          0.000
           0.700       0.000            0.000          0.000
           0.500       0.000            0.000          0.000
           0.300       0.000            0.000          0.000
           0.200       0.000            0.000          0.000
           0.100       0.000            0.000          0.000
           0.050       0.000            0.000          0.000
           0.020       0.000            0.000          0.000
           0.010       0.000            0.000          0.000

WRMR (Weighted Root Mean Square Residual)

        Mean                                 0.001
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000            0.001          0.001
           0.980       0.000            0.001          0.001
           0.950       0.000            0.001          0.001
           0.900       0.000            0.001          0.001
           0.800       0.000            0.001          0.001
           0.700       0.000            0.001          0.001
           0.500       0.000            0.001          0.001
           0.300       0.000            0.001          0.001
           0.200       0.000            0.001          0.001
           0.100       0.000            0.001          0.001
           0.050       0.000            0.001          0.001
           0.020       0.000            0.001          0.001
           0.010       0.000            0.001          0.001


MODEL RESULTS

                              ESTIMATES              S. E.     M. S. E.  95%  % Sig
                 Population   Average   Std. Dev.   Average             Cover Coeff
 U1       ON
  X1                  1.000     1.0225     0.0000     0.1209     0.0005 1.000 1.000
  X3                  2.000     2.4740     0.0000     0.2243     0.2247 0.000 1.000

 Thresholds
  U1$1                1.000     0.9839     0.0000     0.1186     0.0003 1.000 1.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.428E+00
       (ratio of smallest to largest eigenvalue)


TECHNICAL OUTPUT


     PARAMETER SPECIFICATION


           TAU
              U1$1
              ________
      1           1


           NU
              U1
              ________
      1           0


           LAMBDA
              U1
              ________
 U1                 0


           ALPHA
              U1
              ________
      1           0


           BETA
              U1
              ________
 U1                 0


           GAMMA
              X1            X3
              ________      ________
 U1                 2             3


           PSI
              U1
              ________
 U1                 0


     STARTING VALUES


           TAU
              U1$1
              ________
      1         1.000


           NU
              U1
              ________
      1         0.000


           LAMBDA
              U1
              ________
 U1             1.000


           ALPHA
              U1
              ________
      1         0.000


           BETA
              U1
              ________
 U1             0.000


           GAMMA
              X1            X3
              ________      ________
 U1             1.000         2.000


           PSI
              U1
              ________
 U1             1.000


     POPULATION VALUES


           TAU
              U1$1
              ________
 1              1.000


           NU
              U1            X1            X3
              ________      ________      ________
 1              0.000         0.000         0.000


           LAMBDA
              U1            X1            X3
              ________      ________      ________
 U1             1.000         0.000         0.000
 X1             0.000         1.000         0.000
 X3             0.000         0.000         1.000


           THETA
              U1            X1            X3
              ________      ________      ________
 U1             0.000
 X1             0.000         0.000
 X3             0.000         0.000         0.000


           ALPHA
              U1            X1            X3
              ________      ________      ________
 1              0.000         0.000         0.000


           BETA
              U1            X1            X3
              ________      ________      ________
 U1             0.000         1.000         2.000
 X1             0.000         0.000         0.000
 X3             0.000         0.000         0.000


           PSI
              U1            X1            X3
              ________      ________      ________
 U1             1.000
 X1             0.000         1.000
 X3             0.000         0.000         1.000


SAVEDATA INFORMATION

  Order of variables

    U1
    X1
    X3

  Save file
    ex3.4.dat

  Save file format           Free
  Save file record length    10000


     Beginning Time:  17:17:29
        Ending Time:  17:17:29
       Elapsed Time:  00:00:00



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