Mplus VERSION 7
MUTHEN & MUTHEN
09/22/2012  10:03 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, using 4-category
  	outcomes

  montecarlo:
  	names = u11-u14;
  	generate = u11-u14(3);
  	categorical = u11 - u14;
  	nobs = 500;
  	nreps = 1;
  	save = ex6.5.dat;

  analysis:
  	parameterization = theta;

  model population:

  	i s | u11@0 u12@1 u13@2 u14@3;
  	[u11$1-u14$1*-.7];
  	[u11$2-u14$2*0];
  	[u11$3-u14$3*.7];
  	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*-.7] (1);
  	[u11$2-u14$2*0] (2);
  	[u11$3-u14$3*.7] (3);
  	u11@.5 u12*.6 u13*.9 u14*1.4;
  	! in the theta parameterization used here,
  	! the residual variance needs to be fixed for
  	! one time point for identification purposes.
  	! here, it is fixed at the true value for the first
  	! time point (.5), although in the real-data
  	! analysis the default is fixed at 1 which makes
  	! the estimates come out in a different metric
  	[i@0 s*-.5];
  	i*.5; s*.1; i with s*0;

  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, using 4-category
outcomes

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                                             THETA



SAMPLE STATISTICS FOR THE FIRST REPLICATION


     SAMPLE STATISTICS


           Means/Intercepts/Thresholds
              U11$1         U11$2         U11$3         U12$1         U12$2
              ________      ________      ________      ________      ________
      1        -0.719        -0.040         0.668        -0.285         0.440


           Means/Intercepts/Thresholds
              U12$3         U13$1         U13$2         U13$3         U14$1
              ________      ________      ________      ________      ________
      1         0.986         0.238         0.595         1.136         0.457


           Means/Intercepts/Thresholds
              U14$2         U14$3
              ________      ________
      1         0.849         1.237


           Covariances/Correlations/Residual Correlations
              U11           U12           U13           U14
              ________      ________      ________      ________
 U11
 U12            0.506
 U13            0.397         0.541
 U14            0.303         0.427         0.515


MODEL FIT INFORMATION

Number of Free Parameters                       10

Chi-Square Test of Model Fit

        Degrees of freedom                       8

        Mean                                12.014
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       1.000            1.646         12.014
           0.980       1.000            2.032         12.014
           0.950       1.000            2.733         12.014
           0.900       1.000            3.490         12.014
           0.800       1.000            4.594         12.014
           0.700       1.000            5.527         12.014
           0.500       1.000            7.344         12.014
           0.300       1.000            9.524         12.014
           0.200       1.000           11.030         12.014
           0.100       0.000           13.362         12.014
           0.050       0.000           15.507         12.014
           0.020       0.000           18.168         12.014
           0.010       0.000           20.090         12.014

RMSEA (Root Mean Square Error Of Approximation)

        Mean                                 0.032
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000            0.032          0.032
           0.980       0.000            0.032          0.032
           0.950       0.000            0.032          0.032
           0.900       0.000            0.032          0.032
           0.800       0.000            0.032          0.032
           0.700       0.000            0.032          0.032
           0.500       0.000            0.032          0.032
           0.300       0.000            0.032          0.032
           0.200       0.000            0.032          0.032
           0.100       0.000            0.032          0.032
           0.050       0.000            0.032          0.032
           0.020       0.000            0.032          0.032
           0.010       0.000            0.032          0.032

WRMR (Weighted Root Mean Square Residual)

        Mean                                 0.613
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000            0.613          0.613
           0.980       0.000            0.613          0.613
           0.950       0.000            0.613          0.613
           0.900       0.000            0.613          0.613
           0.800       0.000            0.613          0.613
           0.700       0.000            0.613          0.613
           0.500       0.000            0.613          0.613
           0.300       0.000            0.613          0.613
           0.200       0.000            0.613          0.613
           0.100       0.000            0.613          0.613
           0.050       0.000            0.613          0.613
           0.020       0.000            0.613          0.613
           0.010       0.000            0.613          0.613


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    -0.0236     0.0000     0.0590     0.0006 1.000 0.000

 Means
  I                0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  S               -0.500    -0.5462     0.0000     0.0760     0.0021 1.000 1.000

 Thresholds
  U11$1           -0.700    -0.8090     0.0000     0.1075     0.0119 1.000 1.000
  U11$2            0.000    -0.0502     0.0000     0.0549     0.0025 1.000 0.000
  U11$3            0.700     0.7076     0.0000     0.1011     0.0001 1.000 1.000
  U12$1           -0.700    -0.8090     0.0000     0.1075     0.0119 1.000 1.000
  U12$2            0.000    -0.0502     0.0000     0.0549     0.0025 1.000 0.000
  U12$3            0.700     0.7076     0.0000     0.1011     0.0001 1.000 1.000
  U13$1           -0.700    -0.8090     0.0000     0.1075     0.0119 1.000 1.000
  U13$2            0.000    -0.0502     0.0000     0.0549     0.0025 1.000 0.000
  U13$3            0.700     0.7076     0.0000     0.1011     0.0001 1.000 1.000
  U14$1           -0.700    -0.8090     0.0000     0.1075     0.0119 1.000 1.000
  U14$2            0.000    -0.0502     0.0000     0.0549     0.0025 1.000 0.000
  U14$3            0.700     0.7076     0.0000     0.1011     0.0001 1.000 1.000

 Variances
  I                0.500     0.7253     0.0000     0.2501     0.0507 1.000 1.000
  S                0.100     0.1565     0.0000     0.0677     0.0032 1.000 1.000

 Residual Variances
  U11              0.500     0.5000     0.0000     0.0000     0.0000 1.000 0.000
  U12              0.600     0.6666     0.0000     0.2042     0.0044 1.000 1.000
  U13              0.900     1.2082     0.0000     0.3439     0.0950 1.000 1.000
  U14              1.400     1.6644     0.0000     0.5026     0.0699 1.000 1.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.298E-03
       (ratio of smallest to largest eigenvalue)


TECHNICAL OUTPUT


     PARAMETER SPECIFICATION


           TAU
              U11$1         U11$2         U11$3         U12$1         U12$2
              ________      ________      ________      ________      ________
      1           1             2             3             1             2


           TAU
              U12$3         U13$1         U13$2         U13$3         U14$1
              ________      ________      ________      ________      ________
      1           3             1             2             3             1


           TAU
              U14$2         U14$3
              ________      ________
      1           2             3


           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


           THETA
              U11           U12           U13           U14
              ________      ________      ________      ________
 U11                0
 U12                0             4
 U13                0             0             5
 U14                0             0             0             6


           ALPHA
              I             S
              ________      ________
      1           0             7


           BETA
              I             S
              ________      ________
 I                  0             0
 S                  0             0


           PSI
              I             S
              ________      ________
 I                  8
 S                  9            10


     STARTING VALUES


           TAU
              U11$1         U11$2         U11$3         U12$1         U12$2
              ________      ________      ________      ________      ________
      1        -0.700         0.000         0.700        -0.700         0.000


           TAU
              U12$3         U13$1         U13$2         U13$3         U14$1
              ________      ________      ________      ________      ________
      1         0.700        -0.700         0.000         0.700        -0.700


           TAU
              U14$2         U14$3
              ________      ________
      1         0.000         0.700


           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


     POPULATION VALUES


           TAU
              U11$1         U11$2         U11$3         U12$1         U12$2
              ________      ________      ________      ________      ________
 1             -0.700         0.000         0.700        -0.700         0.000


           TAU
              U12$3         U13$1         U13$2         U13$3         U14$1
              ________      ________      ________      ________      ________
 1              0.700        -0.700         0.000         0.700        -0.700


           TAU
              U14$2         U14$3
              ________      ________
 1              0.000         0.700


           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
    ex6.5.dat

  Save file format           Free
  Save file record length    10000


     Beginning Time:  22:03:02
        Ending Time:  22:03:02
       Elapsed Time:  00:00:00



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