Mplus VERSION 7.3
MUTHEN & MUTHEN
09/22/2014   5:18 PM

INPUT INSTRUCTIONS

  title:		this is an example of a linear growth
  	model for a categorical outcome
  	This is the same example as in section 9.2 of
  	Mplus Web Note #4, page 18

  montecarlo:
  	names = u11-u14;
  	generate = u11-u14(1);
  	categorical = u11 - u14;
  	nobs = 500;
  	nreps = 1;
  	save = ex6.4.dat;

  model population:

  	i s | u11@0 u12@1 u13@2 u14@3;
  	[u11$1-u14$1*-.5] (1);
  	u11*.5 u12*.6 u13*.9 u14*1.4;
  	[i@0 s*-.5];
  	i*.5; s*.1; i with s*0;

  model:
  	
  	i s | u11@0 u12@1 u13@2 u14@3;
  	[u11$1-u14$1*-.5] (1);
  	! residual variances are not part of the
  	! default WLSMV Delta parameterization
  	[i@0 s*-.5];
  	i*.5; s*.1; i with s*0;
  	{u11@1 u12*.913 u13*.745 u14*.598};	
  	! this sets the scale factors at the inverted SDs
  	! for the u* variables, so that the estimates
  	! are in the metric of the Delta
  	! parametrizations


  output:
  	tech9;




INPUT READING TERMINATED NORMALLY



this is an example of a linear growth
model for a categorical outcome
This is the same example as in section 9.2 of
Mplus Web Note #4, page 18

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         500

Number of replications
    Requested                                                    1
    Completed                                                    1
Value of seed                                                    0

Number of dependent variables                                    4
Number of independent variables                                  0
Number of continuous latent variables                            2

Observed dependent variables

  Binary and ordered categorical (ordinal)
   U11         U12         U13         U14

Continuous latent variables
   I           S


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
              U11$1         U12$1         U13$1         U14$1
              ________      ________      ________      ________
      1        -0.496        -0.085         0.316         0.565


           Covariances/Correlations/Residual Correlations
              U11           U12           U13           U14
              ________      ________      ________      ________
 U11
 U12            0.463
 U13            0.399         0.554
 U14            0.354         0.406         0.517


MODEL FIT INFORMATION

Number of Free Parameters                        8

Chi-Square Test of Model Fit

        Degrees of freedom                       2

        Mean                                 1.214
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       1.000            0.020          1.214
           0.980       1.000            0.040          1.214
           0.950       1.000            0.103          1.214
           0.900       1.000            0.211          1.214
           0.800       1.000            0.446          1.214
           0.700       1.000            0.713          1.214
           0.500       0.000            1.386          1.214
           0.300       0.000            2.408          1.214
           0.200       0.000            3.219          1.214
           0.100       0.000            4.605          1.214
           0.050       0.000            5.991          1.214
           0.020       0.000            7.824          1.214
           0.010       0.000            9.210          1.214

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                                 0.281
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000            0.281          0.281
           0.980       0.000            0.281          0.281
           0.950       0.000            0.281          0.281
           0.900       0.000            0.281          0.281
           0.800       0.000            0.281          0.281
           0.700       0.000            0.281          0.281
           0.500       0.000            0.281          0.281
           0.300       0.000            0.281          0.281
           0.200       0.000            0.281          0.281
           0.100       0.000            0.281          0.281
           0.050       0.000            0.281          0.281
           0.020       0.000            0.281          0.281
           0.010       0.000            0.281          0.281


MODEL RESULTS

                              ESTIMATES              S. E.     M. S. E.  95%  % Sig
                 Population   Average   Std. Dev.   Average             Cover Coeff
 I        |
  U11                 1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U12                 1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U13                 1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U14                 1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

 S        |
  U11                 0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U12                 1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U13                 2.000     2.0000     0.0000     0.0000     0.0000 1.000 0.000
  U14                 3.000     3.0000     0.0000     0.0000     0.0000 1.000 0.000

 I        WITH
  S                   0.000    -0.0071     0.0000     0.0537     0.0001 1.000 0.000

 Means
  I                   0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  S                  -0.500    -0.4068     0.0000     0.0530     0.0087 1.000 1.000

 Thresholds
  U11$1              -0.500    -0.4935     0.0000     0.0580     0.0000 1.000 1.000
  U12$1              -0.500    -0.4935     0.0000     0.0580     0.0000 1.000 1.000
  U13$1              -0.500    -0.4935     0.0000     0.0580     0.0000 1.000 1.000
  U14$1              -0.500    -0.4935     0.0000     0.0580     0.0000 1.000 1.000

 Variances
  I                   0.500     0.4389     0.0000     0.1142     0.0037 1.000 1.000
  S                   0.100     0.0420     0.0000     0.0350     0.0034 1.000 0.000

 Scales
  U11                 1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U12                 0.913     1.0598     0.0000     0.1486     0.0215 1.000 1.000
  U13                 0.745     1.0116     0.0000     0.1924     0.0711 1.000 1.000
  U14                 0.598     0.7719     0.0000     0.1535     0.0302 1.000 1.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.496E-03
       (ratio of smallest to largest eigenvalue)


TECHNICAL OUTPUT


     PARAMETER SPECIFICATION


           TAU
              U11$1         U12$1         U13$1         U14$1
              ________      ________      ________      ________
      1           1             1             1             1


           NU
              U11           U12           U13           U14
              ________      ________      ________      ________
      1           0             0             0             0


           LAMBDA
              I             S
              ________      ________
 U11                0             0
 U12                0             0
 U13                0             0
 U14                0             0


           ALPHA
              I             S
              ________      ________
      1           0             2


           BETA
              I             S
              ________      ________
 I                  0             0
 S                  0             0


           PSI
              I             S
              ________      ________
 I                  3
 S                  4             5


           DELTA
              U11           U12           U13           U14
              ________      ________      ________      ________
      1           0             6             7             8


     STARTING VALUES


           TAU
              U11$1         U12$1         U13$1         U14$1
              ________      ________      ________      ________
      1        -0.500        -0.500        -0.500        -0.500


           NU
              U11           U12           U13           U14
              ________      ________      ________      ________
      1         0.000         0.000         0.000         0.000


           LAMBDA
              I             S
              ________      ________
 U11            1.000         0.000
 U12            1.000         1.000
 U13            1.000         2.000
 U14            1.000         3.000


           ALPHA
              I             S
              ________      ________
      1         0.000        -0.500


           BETA
              I             S
              ________      ________
 I              0.000         0.000
 S              0.000         0.000


           PSI
              I             S
              ________      ________
 I              0.500
 S              0.000         0.100


           DELTA
              U11           U12           U13           U14
              ________      ________      ________      ________
      1         1.000         0.913         0.745         0.598


     POPULATION VALUES


           TAU
              U11$1         U12$1         U13$1         U14$1
              ________      ________      ________      ________
 1             -0.500        -0.500        -0.500        -0.500


           NU
              U11           U12           U13           U14
              ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000


           LAMBDA
              I             S
              ________      ________
 U11            1.000         0.000
 U12            1.000         1.000
 U13            1.000         2.000
 U14            1.000         3.000


           THETA
              U11           U12           U13           U14
              ________      ________      ________      ________
 U11            0.500
 U12            0.000         0.600
 U13            0.000         0.000         0.900
 U14            0.000         0.000         0.000         1.400


           ALPHA
              I             S
              ________      ________
 1              0.000        -0.500


           BETA
              I             S
              ________      ________
 I              0.000         0.000
 S              0.000         0.000


           PSI
              I             S
              ________      ________
 I              0.500
 S              0.000         0.100


TECHNICAL 9 OUTPUT

  Error messages for each replication (if any)



SAVEDATA INFORMATION

  Order of variables

    U11
    U12
    U13
    U14

  Save file
    ex6.4.dat

  Save file format           Free
  Save file record length    10000


     Beginning Time:  17:18:30
        Ending Time:  17:18:30
       Elapsed Time:  00:00:00



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