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 count outcome using a Poisson
  	model

  montecarlo:
  	names = u11-u14;
  	generate = u11-u14(c);
  	count = u11-u14;
  	nobs = 500;
  	nreps = 1;
  	save = ex6.6.dat;

  model population:

  	i s | u11@0 u12@1 u13@2 u14@3;
  	[u11-u14@0];

  	[i*.2 s*.005];
  	i*.4; s*.1; i with s*0;

  model:
  	
  	i s | u11@0 u12@1 u13@2 u14@3;
  	[u11-u14@0];

  	[i*.2 s*.005];
  	i*.4; s*.1; i with s*0;


  output:
  	tech8 tech9;




INPUT READING TERMINATED NORMALLY



this is an example of a linear growth
model for a count outcome using a Poisson
model

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

  Count
   U11         U12         U13         U14

Continuous latent variables
   I           S


Estimator                                                      MLR
Information matrix                                        OBSERVED
Optimization Specifications for the Quasi-Newton Algorithm for
Continuous Outcomes
  Maximum number of iterations                                 100
  Convergence criterion                                  0.100D-05
Optimization Specifications for the EM Algorithm
  Maximum number of iterations                                 500
  Convergence criteria
    Loglikelihood change                                 0.100D-02
    Relative loglikelihood change                        0.100D-05
    Derivative                                           0.100D-02
Optimization Specifications for the M step of the EM Algorithm for
Categorical Latent variables
  Number of M step iterations                                    1
  M step convergence criterion                           0.100D-02
  Basis for M step termination                           ITERATION
Optimization Specifications for the M step of the EM Algorithm for
Censored, Binary or Ordered Categorical (Ordinal), Unordered
Categorical (Nominal) and Count Outcomes
  Number of M step iterations                                    1
  M step convergence criterion                           0.100D-02
  Basis for M step termination                           ITERATION
  Maximum value for logit thresholds                            15
  Minimum value for logit thresholds                           -15
  Minimum expected cell size for chi-square              0.100D-01
Optimization algorithm                                         EMA
Integration Specifications
  Type                                                    STANDARD
  Number of integration points                                  15
  Dimensions of numerical integration                            2
  Adaptive quadrature                                           ON
Cholesky                                                        ON





MODEL FIT INFORMATION

Number of Free Parameters                        5

Loglikelihood

    H0 Value

        Mean                             -3446.329
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        -3446.329      -3446.329
           0.980       0.000        -3446.329      -3446.329
           0.950       0.000        -3446.329      -3446.329
           0.900       0.000        -3446.329      -3446.329
           0.800       0.000        -3446.329      -3446.329
           0.700       0.000        -3446.329      -3446.329
           0.500       0.000        -3446.329      -3446.329
           0.300       0.000        -3446.329      -3446.329
           0.200       0.000        -3446.329      -3446.329
           0.100       0.000        -3446.329      -3446.329
           0.050       0.000        -3446.329      -3446.329
           0.020       0.000        -3446.329      -3446.329
           0.010       0.000        -3446.329      -3446.329

Information Criteria

    Akaike (AIC)

        Mean                              6902.657
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         6902.657       6902.657
           0.980       0.000         6902.657       6902.657
           0.950       0.000         6902.657       6902.657
           0.900       0.000         6902.657       6902.657
           0.800       0.000         6902.657       6902.657
           0.700       0.000         6902.657       6902.657
           0.500       0.000         6902.657       6902.657
           0.300       0.000         6902.657       6902.657
           0.200       0.000         6902.657       6902.657
           0.100       0.000         6902.657       6902.657
           0.050       0.000         6902.657       6902.657
           0.020       0.000         6902.657       6902.657
           0.010       0.000         6902.657       6902.657

    Bayesian (BIC)

        Mean                              6923.730
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         6923.730       6923.730
           0.980       0.000         6923.730       6923.730
           0.950       0.000         6923.730       6923.730
           0.900       0.000         6923.730       6923.730
           0.800       0.000         6923.730       6923.730
           0.700       0.000         6923.730       6923.730
           0.500       0.000         6923.730       6923.730
           0.300       0.000         6923.730       6923.730
           0.200       0.000         6923.730       6923.730
           0.100       0.000         6923.730       6923.730
           0.050       0.000         6923.730       6923.730
           0.020       0.000         6923.730       6923.730
           0.010       0.000         6923.730       6923.730

    Sample-Size Adjusted BIC (n* = (n + 2) / 24)

        Mean                              6907.860
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         6907.860       6907.860
           0.980       0.000         6907.860       6907.860
           0.950       0.000         6907.860       6907.860
           0.900       0.000         6907.860       6907.860
           0.800       0.000         6907.860       6907.860
           0.700       0.000         6907.860       6907.860
           0.500       0.000         6907.860       6907.860
           0.300       0.000         6907.860       6907.860
           0.200       0.000         6907.860       6907.860
           0.100       0.000         6907.860       6907.860
           0.050       0.000         6907.860       6907.860
           0.020       0.000         6907.860       6907.860
           0.010       0.000         6907.860       6907.860

Chi-Square Test of Model Fit for the Count Outcomes

    Pearson Chi-Square

        Mean                              3715.328
        Std Dev                              0.000
        Degrees of freedom                    8974
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         8665.283       3715.328
           0.980       0.000         8701.009       3715.328
           0.950       0.000         8754.782       3715.328
           0.900       0.000         8802.744       3715.328
           0.800       0.000         8861.058       3715.328
           0.700       0.000         8903.266       3715.328
           0.500       0.000         8973.333       3715.328
           0.300       0.000         9043.768       3715.328
           0.200       0.000         9086.553       3715.328
           0.100       0.000         9146.112       3715.328
           0.050       0.000         9195.492       3715.328
           0.020       0.000         9251.282       3715.328
           0.010       0.000         9288.599       3715.328

    Likelihood Ratio Chi-Square

        Mean                              1095.234
        Std Dev                              0.000
        Degrees of freedom                    8974
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         8665.283       1095.234
           0.980       0.000         8701.009       1095.234
           0.950       0.000         8754.782       1095.234
           0.900       0.000         8802.744       1095.234
           0.800       0.000         8861.058       1095.234
           0.700       0.000         8903.266       1095.234
           0.500       0.000         8973.333       1095.234
           0.300       0.000         9043.768       1095.234
           0.200       0.000         9086.553       1095.234
           0.100       0.000         9146.112       1095.234
           0.050       0.000         9195.492       1095.234
           0.020       0.000         9251.282       1095.234
           0.010       0.000         9288.599       1095.234



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     0.0220     0.0000     0.0193     0.0005 1.000 0.000

 Means
  I                0.200     0.2038     0.0000     0.0471     0.0000 1.000 1.000
  S                0.005     0.0390     0.0000     0.0250     0.0012 1.000 0.000

 Intercepts
  U11              0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U12              0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U13              0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U14              0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

 Variances
  I                0.400     0.3725     0.0000     0.0521     0.0008 1.000 1.000
  S                0.100     0.0943     0.0000     0.0120     0.0000 1.000 1.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.502E-01
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION


           NU
              U11#1         U11           U12#1         U12           U13#1
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           NU
              U13           U14#1         U14
              ________      ________      ________
 1                  0             0             0


           LAMBDA
              I             S
              ________      ________
 U11#1              0             0
 U11                0             0
 U12#1              0             0
 U12                0             0
 U13#1              0             0
 U13                0             0
 U14#1              0             0
 U14                0             0


           THETA
              U11#1         U11           U12#1         U12           U13#1
              ________      ________      ________      ________      ________
 U11#1              0
 U11                0             0
 U12#1              0             0             0
 U12                0             0             0             0
 U13#1              0             0             0             0             0
 U13                0             0             0             0             0
 U14#1              0             0             0             0             0
 U14                0             0             0             0             0


           THETA
              U13           U14#1         U14
              ________      ________      ________
 U13                0
 U14#1              0             0
 U14                0             0             0


           ALPHA
              I             S
              ________      ________
 1                  1             2


           BETA
              I             S
              ________      ________
 I                  0             0
 S                  0             0


           PSI
              I             S
              ________      ________
 I                  3
 S                  4             5


     STARTING VALUES


           NU
              U11#1         U11           U12#1         U12           U13#1
              ________      ________      ________      ________      ________
 1            -20.000         0.000       -20.000         0.000       -20.000


           NU
              U13           U14#1         U14
              ________      ________      ________
 1              0.000       -20.000         0.000


           LAMBDA
              I             S
              ________      ________
 U11#1          0.000         0.000
 U11            1.000         0.000
 U12#1          0.000         0.000
 U12            1.000         1.000
 U13#1          0.000         0.000
 U13            1.000         2.000
 U14#1          0.000         0.000
 U14            1.000         3.000


           THETA
              U11#1         U11           U12#1         U12           U13#1
              ________      ________      ________      ________      ________
 U11#1          0.000
 U11            0.000         0.000
 U12#1          0.000         0.000         0.000
 U12            0.000         0.000         0.000         0.000
 U13#1          0.000         0.000         0.000         0.000         0.000
 U13            0.000         0.000         0.000         0.000         0.000
 U14#1          0.000         0.000         0.000         0.000         0.000
 U14            0.000         0.000         0.000         0.000         0.000


           THETA
              U13           U14#1         U14
              ________      ________      ________
 U13            0.000
 U14#1          0.000         0.000
 U14            0.000         0.000         0.000


           ALPHA
              I             S
              ________      ________
 1              0.200         0.005


           BETA
              I             S
              ________      ________
 I              0.000         0.000
 S              0.000         0.000


           PSI
              I             S
              ________      ________
 I              0.400
 S              0.000         0.100


     POPULATION VALUES


           NU
              U11#1         U11           U12#1         U12           U13#1
              ________      ________      ________      ________      ________
 1            -20.000         0.000       -20.000         0.000       -20.000


           NU
              U13           U14#1         U14
              ________      ________      ________
 1              0.000       -20.000         0.000


           LAMBDA
              I             S
              ________      ________
 U11#1          0.000         0.000
 U11            1.000         0.000
 U12#1          0.000         0.000
 U12            1.000         1.000
 U13#1          0.000         0.000
 U13            1.000         2.000
 U14#1          0.000         0.000
 U14            1.000         3.000


           THETA
              U11#1         U11           U12#1         U12           U13#1
              ________      ________      ________      ________      ________
 U11#1          0.000
 U11            0.000         0.000
 U12#1          0.000         0.000         0.000
 U12            0.000         0.000         0.000         0.000
 U13#1          0.000         0.000         0.000         0.000         0.000
 U13            0.000         0.000         0.000         0.000         0.000
 U14#1          0.000         0.000         0.000         0.000         0.000
 U14            0.000         0.000         0.000         0.000         0.000


           THETA
              U13           U14#1         U14
              ________      ________      ________
 U13            0.000
 U14#1          0.000         0.000
 U14            0.000         0.000         0.000


           ALPHA
              I             S
              ________      ________
 1              0.200         0.005


           BETA
              I             S
              ________      ________
 I              0.000         0.000
 S              0.000         0.000


           PSI
              I             S
              ________      ________
 I              0.400
 S              0.000         0.100


TECHNICAL 8 OUTPUT


  TECHNICAL 8 OUTPUT FOR REPLICATION 1


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.34489730D+04    0.0000000    0.0000000  EM
              2 -0.34470743D+04    1.8986788    0.0005505  FS
              3 -0.34463634D+04    0.7109007    0.0002062  FS
              4 -0.34463244D+04    0.0390098    0.0000113  FS
              5 -0.34463285D+04   -0.0041590   -0.0000012  EM


TECHNICAL 9 OUTPUT

  Error messages for each replication (if any)



SAVEDATA INFORMATION

  Order of variables

    U11
    U12
    U13
    U14

  Save file
    ex6.6.dat

  Save file format           Free
  Save file record length    10000


     Beginning Time:  22:03:02
        Ending Time:  22:03:03
       Elapsed Time:  00:00:01



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