Mplus VERSION 7
MUTHEN & MUTHEN
09/22/2012  10:01 PM

INPUT INSTRUCTIONS

  TITLE:	this is an example of a path analysis
  		with categorical dependent variables
  		using the theta parameterization
  MONTECARLO:			
  		NAMES = u1-u3 x1-x3;
  		NOBSERVATIONS = 1000;
  		NREPS = 1;
  		SEED = 53487;
  		GENERATE = u1(2) u2(1) u3(3);
  		CATEGORICAL = u1-u3;
  		SAVE = ex3.13.dat;	
  MODEL POPULATION:
  		[x1-x3@0];
  		x1-x3@1;
  		u1 ON x1*3 x2*2 x3*1;
  		u2 ON x1*1 x2*2 x3*3;
  		u3 ON u1*1 u2*-1 x2*2;
  		[u1$1*-1 u1$2*1];
  		[u2$1*0];
  		[u3$1*-.5 u3$2*.5 u3$3*1.5];
  		u1-u3*1;
  ANALYSIS:
  		PARAMETERIZATION = THETA;
  MODEL:
  		u1 ON x1*3 x2*2 x3*1;
  		u2 ON x1*1 x2*2 x3*3;
  		u3 ON u1*1 u2*-1 x2*2;
  		[u1$1*-1 u1$2*1];
  		[u2$1*0];
  		[u3$1*-.5 u3$2*.5 u3$3*1.5];
  OUTPUT:	TECH9;



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 replications
    Requested                                                    1
    Completed                                                    1
Value of seed                                                53487

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



SAMPLE STATISTICS FOR THE FIRST REPLICATION


     SAMPLE STATISTICS


           Means/Intercepts/Thresholds
              U1$1          U1$2          U2$1          U3$1          U3$2
              ________      ________      ________      ________      ________
      1        -0.957         1.109         0.064        -0.360         0.288


           Means/Intercepts/Thresholds
              U3$3
              ________
      1         0.879


           Slopes
              X1            X2            X3
              ________      ________      ________
 U1             2.965         1.926         1.050
 U2             1.027         2.084         3.025
 U3             1.179         1.205        -1.215


           Covariances/Correlations/Residual Correlations
              U1            U2            U3
              ________      ________      ________
 U1
 U2             0.062
 U3             0.655        -0.347


MODEL FIT INFORMATION

Number of Free Parameters                       15

Chi-Square Test of Model Fit

        Degrees of freedom                       3

        Mean                                 6.871
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       1.000            0.115          6.871
           0.980       1.000            0.185          6.871
           0.950       1.000            0.352          6.871
           0.900       1.000            0.584          6.871
           0.800       1.000            1.005          6.871
           0.700       1.000            1.424          6.871
           0.500       1.000            2.366          6.871
           0.300       1.000            3.665          6.871
           0.200       1.000            4.642          6.871
           0.100       1.000            6.251          6.871
           0.050       0.000            7.815          6.871
           0.020       0.000            9.837          6.871
           0.010       0.000           11.345          6.871

RMSEA (Root Mean Square Error Of Approximation)

        Mean                                 0.036
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000            0.036          0.036
           0.980       0.000            0.036          0.036
           0.950       0.000            0.036          0.036
           0.900       0.000            0.036          0.036
           0.800       0.000            0.036          0.036
           0.700       0.000            0.036          0.036
           0.500       0.000            0.036          0.036
           0.300       0.000            0.036          0.036
           0.200       0.000            0.036          0.036
           0.100       0.000            0.036          0.036
           0.050       0.000            0.036          0.036
           0.020       0.000            0.036          0.036
           0.010       0.000            0.036          0.036

WRMR (Weighted Root Mean Square Residual)

        Mean                                 0.612
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000            0.612          0.612
           0.980       0.000            0.612          0.612
           0.950       0.000            0.612          0.612
           0.900       0.000            0.612          0.612
           0.800       0.000            0.612          0.612
           0.700       0.000            0.612          0.612
           0.500       0.000            0.612          0.612
           0.300       0.000            0.612          0.612
           0.200       0.000            0.612          0.612
           0.100       0.000            0.612          0.612
           0.050       0.000            0.612          0.612
           0.020       0.000            0.612          0.612
           0.010       0.000            0.612          0.612


MODEL RESULTS

                           ESTIMATES              S. E.     M. S. E.  95%  % Sig
              Population   Average   Std. Dev.   Average             Cover Coeff
 U1       ON
  X1               3.000     2.9176     0.0000     0.1524     0.0068 1.000 1.000
  X2               2.000     1.9258     0.0000     0.1032     0.0055 1.000 1.000
  X3               1.000     1.0300     0.0000     0.0765     0.0009 1.000 1.000

 U2       ON
  X1               1.000     1.0456     0.0000     0.1053     0.0021 1.000 1.000
  X2               2.000     2.0840     0.0000     0.1750     0.0071 1.000 1.000
  X3               3.000     3.2132     0.0000     0.2298     0.0455 1.000 1.000

 U3       ON
  U1               1.000     1.1088     0.0000     0.1839     0.0118 1.000 1.000
  U2              -1.000    -1.0263     0.0000     0.1954     0.0007 1.000 1.000
  X2               2.000     2.1869     0.0000     0.3233     0.0349 1.000 1.000

 Thresholds
  U1$1            -1.000    -0.9571     0.0000     0.0812     0.0018 1.000 1.000
  U1$2             1.000     1.1093     0.0000     0.0869     0.0119 1.000 1.000
  U2$1             0.000     0.0642     0.0000     0.0798     0.0041 1.000 0.000
  U3$1            -0.500    -0.6529     0.0000     0.1271     0.0234 1.000 1.000
  U3$2             0.500     0.5223     0.0000     0.1238     0.0005 1.000 1.000
  U3$3             1.500     1.5925     0.0000     0.2250     0.0086 1.000 1.000


QUALITY OF NUMERICAL RESULTS

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


TECHNICAL OUTPUT


     PARAMETER SPECIFICATION


           TAU
              U1$1          U1$2          U2$1          U3$1          U3$2
              ________      ________      ________      ________      ________
      1           1             2             3             4             5


           TAU
              U3$3
              ________
      1           6


           NU
              U1            U2            U3
              ________      ________      ________
      1           0             0             0


           LAMBDA
              U1            U2            U3
              ________      ________      ________
 U1                 0             0             0
 U2                 0             0             0
 U3                 0             0             0


           THETA
              U1            U2            U3
              ________      ________      ________
 U1                 0
 U2                 0             0
 U3                 0             0             0


           ALPHA
              U1            U2            U3
              ________      ________      ________
      1           0             0             0


           BETA
              U1            U2            U3
              ________      ________      ________
 U1                 0             0             0
 U2                 0             0             0
 U3                 7             8             0


           GAMMA
              X1            X2            X3
              ________      ________      ________
 U1                 9            10            11
 U2                12            13            14
 U3                 0            15             0


           PSI
              U1            U2            U3
              ________      ________      ________
 U1                 0
 U2                 0             0
 U3                 0             0             0


     STARTING VALUES


           TAU
              U1$1          U1$2          U2$1          U3$1          U3$2
              ________      ________      ________      ________      ________
      1        -1.000         1.000         0.000        -0.500         0.500


           TAU
              U3$3
              ________
      1         1.500


           NU
              U1            U2            U3
              ________      ________      ________
      1         0.000         0.000         0.000


           LAMBDA
              U1            U2            U3
              ________      ________      ________
 U1             1.000         0.000         0.000
 U2             0.000         1.000         0.000
 U3             0.000         0.000         1.000


           THETA
              U1            U2            U3
              ________      ________      ________
 U1             0.000
 U2             0.000         0.000
 U3             0.000         0.000         0.000


           ALPHA
              U1            U2            U3
              ________      ________      ________
      1         0.000         0.000         0.000


           BETA
              U1            U2            U3
              ________      ________      ________
 U1             0.000         0.000         0.000
 U2             0.000         0.000         0.000
 U3             1.000        -1.000         0.000


           GAMMA
              X1            X2            X3
              ________      ________      ________
 U1             3.000         2.000         1.000
 U2             1.000         2.000         3.000
 U3             0.000         2.000         0.000


           PSI
              U1            U2            U3
              ________      ________      ________
 U1             1.000
 U2             0.000         1.000
 U3             0.000         0.000         1.000


     POPULATION VALUES


           TAU
              U1$1          U1$2          U2$1          U3$1          U3$2
              ________      ________      ________      ________      ________
 1             -1.000         1.000         0.000        -0.500         0.500


           TAU
              U3$3
              ________
 1              1.500


           NU
              U1            U2            U3            X1            X2
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           NU
              X3
              ________
 1              0.000


           LAMBDA
              U1            U2            U3            X1            X2
              ________      ________      ________      ________      ________
 U1             1.000         0.000         0.000         0.000         0.000
 U2             0.000         1.000         0.000         0.000         0.000
 U3             0.000         0.000         1.000         0.000         0.000
 X1             0.000         0.000         0.000         1.000         0.000
 X2             0.000         0.000         0.000         0.000         1.000
 X3             0.000         0.000         0.000         0.000         0.000


           LAMBDA
              X3
              ________
 U1             0.000
 U2             0.000
 U3             0.000
 X1             0.000
 X2             0.000
 X3             1.000


           THETA
              U1            U2            U3            X1            X2
              ________      ________      ________      ________      ________
 U1             0.000
 U2             0.000         0.000
 U3             0.000         0.000         0.000
 X1             0.000         0.000         0.000         0.000
 X2             0.000         0.000         0.000         0.000         0.000
 X3             0.000         0.000         0.000         0.000         0.000


           THETA
              X3
              ________
 X3             0.000


           ALPHA
              U1            U2            U3            X1            X2
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           ALPHA
              X3
              ________
 1              0.000


           BETA
              U1            U2            U3            X1            X2
              ________      ________      ________      ________      ________
 U1             0.000         0.000         0.000         3.000         2.000
 U2             0.000         0.000         0.000         1.000         2.000
 U3             1.000        -1.000         0.000         0.000         2.000
 X1             0.000         0.000         0.000         0.000         0.000
 X2             0.000         0.000         0.000         0.000         0.000
 X3             0.000         0.000         0.000         0.000         0.000


           BETA
              X3
              ________
 U1             1.000
 U2             3.000
 U3             0.000
 X1             0.000
 X2             0.000
 X3             0.000


           PSI
              U1            U2            U3            X1            X2
              ________      ________      ________      ________      ________
 U1             1.000
 U2             0.000         1.000
 U3             0.000         0.000         1.000
 X1             0.000         0.000         0.000         1.000
 X2             0.000         0.000         0.000         0.000         1.000
 X3             0.000         0.000         0.000         0.000         0.000


           PSI
              X3
              ________
 X3             1.000


TECHNICAL 9 OUTPUT

  Error messages for each replication (if any)



SAVEDATA INFORMATION

  Order of variables

    U1
    U2
    U3
    X1
    X2
    X3

  Save file
    ex3.13.dat

  Save file format           Free
  Save file record length    10000


     Beginning Time:  22:01:19
        Ending Time:  22:01:19
       Elapsed Time:  00:00:00



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