Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022  10:25 PM

INPUT INSTRUCTIONS

  title:
  	this is an example of a GMM for a count
      outcome using a negative binomial model
      with automatic starting values and random
      starts

  montecarlo:
  	names are u1-u8 x;
  	generate = u1-u8(nb);
  	count = u1-u8(nb);
  	genclasses = c(2);
  	classes = c(2);
  	nobs = 500;
  	seed = 3454367;
  	nrep = 1;
  	save = ex8.5b.dat;

  analysis:
  	type = mixture;
  	algorithm = integration;

  model population:

  	%overall%

  	[x@0]; x@1;

  	i s q | u1@0 u2@1 u3@2 u4@3 u5@4 u6@5 u7@6 u8@7;
  	[u1-u8@0];

  	i*.7;
  	s-q@0;
  	i with s-q@0;
  	q with s@0;

  	u1-u8*2;

  	c#1 on x*1;
  	i on x*.02;
  	s on x*.01;

  	%c#1%
  	[i*-3 s*1.5 q*-.2];

  	%c#2%
  	[i*-1 s*.7 q*-.1];


  model:
  	
  	%overall%



  	i s q | u1@0 u2@1 u3@2 u4@3 u5@4 u6@5 u7@6 u8@7;
  	[u1-u8@0];

  	i*.7;
  	s-q@0;
  	i with s-q@0;
  	q with s@0;

  	u1-u8*2;

  	c#1 on x*1;
  	i on x*.02;
  	s on x*.01;

  	%c#1%
  	[i*-3 s*1.5 q*-.2];

  	%c#2%
  	[i*-1 s*.7 q*-.1];



  output:
  	tech8 tech9;



INPUT READING TERMINATED NORMALLY




this is an example of a GMM for a count
outcome using a negative binomial model
with automatic starting values and random
starts

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         500

Number of replications
    Requested                                                    1
    Completed                                                    1
Value of seed                                              3454367

Number of dependent variables                                    8
Number of independent variables                                  1
Number of continuous latent variables                            3
Number of categorical latent variables                           1

Observed dependent variables

  Count
   U1          U2          U3          U4          U5          U6
   U7          U8

Observed independent variables
   X

Continuous latent variables
   I           S           Q

Categorical latent variables
   C


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                            1
  Adaptive quadrature                                           ON
Cholesky                                                        ON


SAMPLE STATISTICS FOR THE FIRST REPLICATION


     SAMPLE STATISTICS


           Means
              X
              ________
               -0.021


           Covariances
              X
              ________
 X              1.032


           Correlations
              X
              ________
 X              1.000




MODEL FIT INFORMATION

Number of Free Parameters                       19

Loglikelihood

    H0 Value

        Mean                             -4424.635
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        -4424.635      -4424.635
           0.980       0.000        -4424.635      -4424.635
           0.950       0.000        -4424.635      -4424.635
           0.900       0.000        -4424.635      -4424.635
           0.800       0.000        -4424.635      -4424.635
           0.700       0.000        -4424.635      -4424.635
           0.500       0.000        -4424.635      -4424.635
           0.300       0.000        -4424.635      -4424.635
           0.200       0.000        -4424.635      -4424.635
           0.100       0.000        -4424.635      -4424.635
           0.050       0.000        -4424.635      -4424.635
           0.020       0.000        -4424.635      -4424.635
           0.010       0.000        -4424.635      -4424.635

Information Criteria

    Akaike (AIC)

        Mean                              8887.270
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         8887.270       8887.270
           0.980       0.000         8887.270       8887.270
           0.950       0.000         8887.270       8887.270
           0.900       0.000         8887.270       8887.270
           0.800       0.000         8887.270       8887.270
           0.700       0.000         8887.270       8887.270
           0.500       0.000         8887.270       8887.270
           0.300       0.000         8887.270       8887.270
           0.200       0.000         8887.270       8887.270
           0.100       0.000         8887.270       8887.270
           0.050       0.000         8887.270       8887.270
           0.020       0.000         8887.270       8887.270
           0.010       0.000         8887.270       8887.270

    Bayesian (BIC)

        Mean                              8967.348
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         8967.348       8967.348
           0.980       0.000         8967.348       8967.348
           0.950       0.000         8967.348       8967.348
           0.900       0.000         8967.348       8967.348
           0.800       0.000         8967.348       8967.348
           0.700       0.000         8967.348       8967.348
           0.500       0.000         8967.348       8967.348
           0.300       0.000         8967.348       8967.348
           0.200       0.000         8967.348       8967.348
           0.100       0.000         8967.348       8967.348
           0.050       0.000         8967.348       8967.348
           0.020       0.000         8967.348       8967.348
           0.010       0.000         8967.348       8967.348

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

        Mean                              8907.041
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         8907.041       8907.041
           0.980       0.000         8907.041       8907.041
           0.950       0.000         8907.041       8907.041
           0.900       0.000         8907.041       8907.041
           0.800       0.000         8907.041       8907.041
           0.700       0.000         8907.041       8907.041
           0.500       0.000         8907.041       8907.041
           0.300       0.000         8907.041       8907.041
           0.200       0.000         8907.041       8907.041
           0.100       0.000         8907.041       8907.041
           0.050       0.000         8907.041       8907.041
           0.020       0.000         8907.041       8907.041
           0.010       0.000         8907.041       8907.041



FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THE ESTIMATED MODEL

    Latent
   Classes

       1        326.31908          0.65264
       2        173.68092          0.34736


FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON ESTIMATED POSTERIOR PROBABILITIES

    Latent
   Classes

       1        326.31908          0.65264
       2        173.68092          0.34736


FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP

Class Counts and Proportions

    Latent
   Classes

       1              358          0.71600
       2              142          0.28400


CLASSIFICATION QUALITY

     Entropy                         0.396


Average Latent Class Probabilities for Most Likely Latent Class Membership (Row)
by Latent Class (Column)

           1        2

    1   0.828    0.172
    2   0.210    0.790


Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)

           1        2

    1   0.908    0.092
    2   0.354    0.646


Logits for the Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)

              1        2

    1      2.295    0.000
    2     -0.599    0.000


MODEL RESULTS

                              ESTIMATES              S. E.     M. S. E.  95%  % Sig
                 Population   Average   Std. Dev.   Average             Cover Coeff

Latent Class 1

 I        |
  U1                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U2                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U3                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U4                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U5                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U6                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U7                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U8                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

 S        |
  U1                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U2                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U3                  2.000     2.0000     0.0000     0.0000     0.0000 1.000 0.000
  U4                  3.000     3.0000     0.0000     0.0000     0.0000 1.000 0.000
  U5                  4.000     4.0000     0.0000     0.0000     0.0000 1.000 0.000
  U6                  5.000     5.0000     0.0000     0.0000     0.0000 1.000 0.000
  U7                  6.000     6.0000     0.0000     0.0000     0.0000 1.000 0.000
  U8                  7.000     7.0000     0.0000     0.0000     0.0000 1.000 0.000

 Q        |
  U1                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U2                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U3                  4.000     4.0000     0.0000     0.0000     0.0000 1.000 0.000
  U4                  9.000     9.0000     0.0000     0.0000     0.0000 1.000 0.000
  U5                 16.000    16.0000     0.0000     0.0000     0.0000 1.000 0.000
  U6                 25.000    25.0000     0.0000     0.0000     0.0000 1.000 0.000
  U7                 36.000    36.0000     0.0000     0.0000     0.0000 1.000 0.000
  U8                 49.000    49.0000     0.0000     0.0000     0.0000 1.000 0.000

 I          ON
  X                   0.020    -0.2478     0.0000     0.0985     0.0717 0.000 1.000

 S          ON
  X                   0.010     0.0278     0.0000     0.0181     0.0003 1.000 0.000

 I        WITH
  S                   0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Q                   0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

 Q        WITH
  S                   0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

 Means
  Q                  -0.200    -0.1616     0.0000     0.0194     0.0015 0.000 1.000

 Intercepts
  I                  -3.000    -2.4568     0.0000     0.2793     0.2951 1.000 1.000
  S                   1.500     1.1683     0.0000     0.1439     0.1100 0.000 1.000
  U1                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U2                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U3                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U4                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U5                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U6                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U7                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U8                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

 Variances
  Q                   0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

 Residual Variances
  I                   0.700     0.2710     0.0000     0.1101     0.1840 0.000 1.000
  S                   0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

 Dispersion
  U1                  2.000     2.4413     0.0000     0.7163     0.1948 1.000 1.000
  U2                  2.000     3.1870     0.0000     0.5208     1.4090 0.000 1.000
  U3                  2.000     1.8985     0.0000     0.3222     0.0103 1.000 1.000
  U4                  2.000     1.9447     0.0000     0.2804     0.0031 1.000 1.000
  U5                  2.000     2.1262     0.0000     0.2963     0.0159 1.000 1.000
  U6                  2.000     2.0358     0.0000     0.2897     0.0013 1.000 1.000
  U7                  2.000     2.0420     0.0000     0.3804     0.0018 1.000 1.000
  U8                  2.000     2.5355     0.0000     0.7123     0.2868 1.000 1.000

Latent Class 2

 I        |
  U1                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U2                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U3                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U4                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U5                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U6                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U7                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U8                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

 S        |
  U1                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U2                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U3                  2.000     2.0000     0.0000     0.0000     0.0000 1.000 0.000
  U4                  3.000     3.0000     0.0000     0.0000     0.0000 1.000 0.000
  U5                  4.000     4.0000     0.0000     0.0000     0.0000 1.000 0.000
  U6                  5.000     5.0000     0.0000     0.0000     0.0000 1.000 0.000
  U7                  6.000     6.0000     0.0000     0.0000     0.0000 1.000 0.000
  U8                  7.000     7.0000     0.0000     0.0000     0.0000 1.000 0.000

 Q        |
  U1                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U2                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U3                  4.000     4.0000     0.0000     0.0000     0.0000 1.000 0.000
  U4                  9.000     9.0000     0.0000     0.0000     0.0000 1.000 0.000
  U5                 16.000    16.0000     0.0000     0.0000     0.0000 1.000 0.000
  U6                 25.000    25.0000     0.0000     0.0000     0.0000 1.000 0.000
  U7                 36.000    36.0000     0.0000     0.0000     0.0000 1.000 0.000
  U8                 49.000    49.0000     0.0000     0.0000     0.0000 1.000 0.000

 I          ON
  X                   0.020    -0.2478     0.0000     0.0985     0.0717 0.000 1.000

 S          ON
  X                   0.010     0.0278     0.0000     0.0181     0.0003 1.000 0.000

 I        WITH
  S                   0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Q                   0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

 Q        WITH
  S                   0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

 Means
  Q                  -0.100    -0.1157     0.0000     0.0158     0.0002 1.000 1.000

 Intercepts
  I                  -1.000    -0.4470     0.0000     0.2316     0.3058 0.000 0.000
  S                   0.700     0.7742     0.0000     0.1112     0.0055 1.000 1.000
  U1                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U2                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U3                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U4                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U5                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U6                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U7                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U8                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

 Variances
  Q                   0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

 Residual Variances
  I                   0.700     0.2710     0.0000     0.1101     0.1840 0.000 1.000
  S                   0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

 Dispersion
  U1                  2.000     2.4413     0.0000     0.7163     0.1948 1.000 1.000
  U2                  2.000     3.1870     0.0000     0.5208     1.4090 0.000 1.000
  U3                  2.000     1.8985     0.0000     0.3222     0.0103 1.000 1.000
  U4                  2.000     1.9447     0.0000     0.2804     0.0031 1.000 1.000
  U5                  2.000     2.1262     0.0000     0.2963     0.0159 1.000 1.000
  U6                  2.000     2.0358     0.0000     0.2897     0.0013 1.000 1.000
  U7                  2.000     2.0420     0.0000     0.3804     0.0018 1.000 1.000
  U8                  2.000     2.5355     0.0000     0.7123     0.2868 1.000 1.000

Categorical Latent Variables

 C#1        ON
  X                   1.000     0.2494     0.0000     0.1804     0.5634 0.000 0.000

 Intercepts
  C#1                 0.000     0.6455     0.0000     0.3738     0.4167 1.000 0.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.970E-05
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR LATENT CLASS 1


           NU
              U1#1          U1            U2#1          U2            U3#1
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           NU
              U3            U4#1          U4            U5#1          U5
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           NU
              U6#1          U6            U7#1          U7            U8#1
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           NU
              U8            X
              ________      ________
                    0             0


           LAMBDA
              I             S             Q             X
              ________      ________      ________      ________
 U1#1               0             0             0             0
 U1                 0             0             0             0
 U2#1               0             0             0             0
 U2                 0             0             0             0
 U3#1               0             0             0             0
 U3                 0             0             0             0
 U4#1               0             0             0             0
 U4                 0             0             0             0
 U5#1               0             0             0             0
 U5                 0             0             0             0
 U6#1               0             0             0             0
 U6                 0             0             0             0
 U7#1               0             0             0             0
 U7                 0             0             0             0
 U8#1               0             0             0             0
 U8                 0             0             0             0
 X                  0             0             0             0


           THETA
              U1#1          U1            U2#1          U2            U3#1
              ________      ________      ________      ________      ________
 U1#1               0
 U1                 0             1
 U2#1               0             0             0
 U2                 0             0             0             2
 U3#1               0             0             0             0             0
 U3                 0             0             0             0             0
 U4#1               0             0             0             0             0
 U4                 0             0             0             0             0
 U5#1               0             0             0             0             0
 U5                 0             0             0             0             0
 U6#1               0             0             0             0             0
 U6                 0             0             0             0             0
 U7#1               0             0             0             0             0
 U7                 0             0             0             0             0
 U8#1               0             0             0             0             0
 U8                 0             0             0             0             0
 X                  0             0             0             0             0


           THETA
              U3            U4#1          U4            U5#1          U5
              ________      ________      ________      ________      ________
 U3                 3
 U4#1               0             0
 U4                 0             0             4
 U5#1               0             0             0             0
 U5                 0             0             0             0             5
 U6#1               0             0             0             0             0
 U6                 0             0             0             0             0
 U7#1               0             0             0             0             0
 U7                 0             0             0             0             0
 U8#1               0             0             0             0             0
 U8                 0             0             0             0             0
 X                  0             0             0             0             0


           THETA
              U6#1          U6            U7#1          U7            U8#1
              ________      ________      ________      ________      ________
 U6#1               0
 U6                 0             6
 U7#1               0             0             0
 U7                 0             0             0             7
 U8#1               0             0             0             0             0
 U8                 0             0             0             0             0
 X                  0             0             0             0             0


           THETA
              U8            X
              ________      ________
 U8                 8
 X                  0             0


           ALPHA
              I             S             Q             X
              ________      ________      ________      ________
                    9            10            11             0


           BETA
              I             S             Q             X
              ________      ________      ________      ________
 I                  0             0             0            12
 S                  0             0             0            13
 Q                  0             0             0             0
 X                  0             0             0             0


           PSI
              I             S             Q             X
              ________      ________      ________      ________
 I                 14
 S                  0             0
 Q                  0             0             0
 X                  0             0             0             0


     PARAMETER SPECIFICATION FOR LATENT CLASS 2


           NU
              U1#1          U1            U2#1          U2            U3#1
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           NU
              U3            U4#1          U4            U5#1          U5
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           NU
              U6#1          U6            U7#1          U7            U8#1
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           NU
              U8            X
              ________      ________
                    0             0


           LAMBDA
              I             S             Q             X
              ________      ________      ________      ________
 U1#1               0             0             0             0
 U1                 0             0             0             0
 U2#1               0             0             0             0
 U2                 0             0             0             0
 U3#1               0             0             0             0
 U3                 0             0             0             0
 U4#1               0             0             0             0
 U4                 0             0             0             0
 U5#1               0             0             0             0
 U5                 0             0             0             0
 U6#1               0             0             0             0
 U6                 0             0             0             0
 U7#1               0             0             0             0
 U7                 0             0             0             0
 U8#1               0             0             0             0
 U8                 0             0             0             0
 X                  0             0             0             0


           THETA
              U1#1          U1            U2#1          U2            U3#1
              ________      ________      ________      ________      ________
 U1#1               0
 U1                 0             1
 U2#1               0             0             0
 U2                 0             0             0             2
 U3#1               0             0             0             0             0
 U3                 0             0             0             0             0
 U4#1               0             0             0             0             0
 U4                 0             0             0             0             0
 U5#1               0             0             0             0             0
 U5                 0             0             0             0             0
 U6#1               0             0             0             0             0
 U6                 0             0             0             0             0
 U7#1               0             0             0             0             0
 U7                 0             0             0             0             0
 U8#1               0             0             0             0             0
 U8                 0             0             0             0             0
 X                  0             0             0             0             0


           THETA
              U3            U4#1          U4            U5#1          U5
              ________      ________      ________      ________      ________
 U3                 3
 U4#1               0             0
 U4                 0             0             4
 U5#1               0             0             0             0
 U5                 0             0             0             0             5
 U6#1               0             0             0             0             0
 U6                 0             0             0             0             0
 U7#1               0             0             0             0             0
 U7                 0             0             0             0             0
 U8#1               0             0             0             0             0
 U8                 0             0             0             0             0
 X                  0             0             0             0             0


           THETA
              U6#1          U6            U7#1          U7            U8#1
              ________      ________      ________      ________      ________
 U6#1               0
 U6                 0             6
 U7#1               0             0             0
 U7                 0             0             0             7
 U8#1               0             0             0             0             0
 U8                 0             0             0             0             0
 X                  0             0             0             0             0


           THETA
              U8            X
              ________      ________
 U8                 8
 X                  0             0


           ALPHA
              I             S             Q             X
              ________      ________      ________      ________
                   15            16            17             0


           BETA
              I             S             Q             X
              ________      ________      ________      ________
 I                  0             0             0            12
 S                  0             0             0            13
 Q                  0             0             0             0
 X                  0             0             0             0


           PSI
              I             S             Q             X
              ________      ________      ________      ________
 I                 14
 S                  0             0
 Q                  0             0             0
 X                  0             0             0             0


     PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              C#1           C#2
              ________      ________
                   18             0


           GAMMA(C)
              I             S             Q             X
              ________      ________      ________      ________
 C#1                0             0             0            19
 C#2                0             0             0             0


     STARTING VALUES FOR LATENT CLASS 1


           NU
              U1#1          U1            U2#1          U2            U3#1
              ________      ________      ________      ________      ________
              -20.000         0.000       -20.000         0.000       -20.000


           NU
              U3            U4#1          U4            U5#1          U5
              ________      ________      ________      ________      ________
                0.000       -20.000         0.000       -20.000         0.000


           NU
              U6#1          U6            U7#1          U7            U8#1
              ________      ________      ________      ________      ________
              -20.000         0.000       -20.000         0.000       -20.000


           NU
              U8            X
              ________      ________
                0.000         0.000


           LAMBDA
              I             S             Q             X
              ________      ________      ________      ________
 U1#1           0.000         0.000         0.000         0.000
 U1             1.000         0.000         0.000         0.000
 U2#1           0.000         0.000         0.000         0.000
 U2             1.000         1.000         1.000         0.000
 U3#1           0.000         0.000         0.000         0.000
 U3             1.000         2.000         4.000         0.000
 U4#1           0.000         0.000         0.000         0.000
 U4             1.000         3.000         9.000         0.000
 U5#1           0.000         0.000         0.000         0.000
 U5             1.000         4.000        16.000         0.000
 U6#1           0.000         0.000         0.000         0.000
 U6             1.000         5.000        25.000         0.000
 U7#1           0.000         0.000         0.000         0.000
 U7             1.000         6.000        36.000         0.000
 U8#1           0.000         0.000         0.000         0.000
 U8             1.000         7.000        49.000         0.000
 X              0.000         0.000         0.000         1.000


           THETA
              U1#1          U1            U2#1          U2            U3#1
              ________      ________      ________      ________      ________
 U1#1           0.000
 U1             0.000         2.000
 U2#1           0.000         0.000         0.000
 U2             0.000         0.000         0.000         2.000
 U3#1           0.000         0.000         0.000         0.000         0.000
 U3             0.000         0.000         0.000         0.000         0.000
 U4#1           0.000         0.000         0.000         0.000         0.000
 U4             0.000         0.000         0.000         0.000         0.000
 U5#1           0.000         0.000         0.000         0.000         0.000
 U5             0.000         0.000         0.000         0.000         0.000
 U6#1           0.000         0.000         0.000         0.000         0.000
 U6             0.000         0.000         0.000         0.000         0.000
 U7#1           0.000         0.000         0.000         0.000         0.000
 U7             0.000         0.000         0.000         0.000         0.000
 U8#1           0.000         0.000         0.000         0.000         0.000
 U8             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000


           THETA
              U3            U4#1          U4            U5#1          U5
              ________      ________      ________      ________      ________
 U3             2.000
 U4#1           0.000         0.000
 U4             0.000         0.000         2.000
 U5#1           0.000         0.000         0.000         0.000
 U5             0.000         0.000         0.000         0.000         2.000
 U6#1           0.000         0.000         0.000         0.000         0.000
 U6             0.000         0.000         0.000         0.000         0.000
 U7#1           0.000         0.000         0.000         0.000         0.000
 U7             0.000         0.000         0.000         0.000         0.000
 U8#1           0.000         0.000         0.000         0.000         0.000
 U8             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000


           THETA
              U6#1          U6            U7#1          U7            U8#1
              ________      ________      ________      ________      ________
 U6#1           0.000
 U6             0.000         2.000
 U7#1           0.000         0.000         0.000
 U7             0.000         0.000         0.000         2.000
 U8#1           0.000         0.000         0.000         0.000         0.000
 U8             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000


           THETA
              U8            X
              ________      ________
 U8             2.000
 X              0.000         0.000


           ALPHA
              I             S             Q             X
              ________      ________      ________      ________
               -3.000         1.500        -0.200         0.000


           BETA
              I             S             Q             X
              ________      ________      ________      ________
 I              0.000         0.000         0.000         0.020
 S              0.000         0.000         0.000         0.010
 Q              0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000


           PSI
              I             S             Q             X
              ________      ________      ________      ________
 I              0.700
 S              0.000         0.000
 Q              0.000         0.000         0.000
 X              0.000         0.000         0.000         0.500


     STARTING VALUES FOR LATENT CLASS 2


           NU
              U1#1          U1            U2#1          U2            U3#1
              ________      ________      ________      ________      ________
              -20.000         0.000       -20.000         0.000       -20.000


           NU
              U3            U4#1          U4            U5#1          U5
              ________      ________      ________      ________      ________
                0.000       -20.000         0.000       -20.000         0.000


           NU
              U6#1          U6            U7#1          U7            U8#1
              ________      ________      ________      ________      ________
              -20.000         0.000       -20.000         0.000       -20.000


           NU
              U8            X
              ________      ________
                0.000         0.000


           LAMBDA
              I             S             Q             X
              ________      ________      ________      ________
 U1#1           0.000         0.000         0.000         0.000
 U1             1.000         0.000         0.000         0.000
 U2#1           0.000         0.000         0.000         0.000
 U2             1.000         1.000         1.000         0.000
 U3#1           0.000         0.000         0.000         0.000
 U3             1.000         2.000         4.000         0.000
 U4#1           0.000         0.000         0.000         0.000
 U4             1.000         3.000         9.000         0.000
 U5#1           0.000         0.000         0.000         0.000
 U5             1.000         4.000        16.000         0.000
 U6#1           0.000         0.000         0.000         0.000
 U6             1.000         5.000        25.000         0.000
 U7#1           0.000         0.000         0.000         0.000
 U7             1.000         6.000        36.000         0.000
 U8#1           0.000         0.000         0.000         0.000
 U8             1.000         7.000        49.000         0.000
 X              0.000         0.000         0.000         1.000


           THETA
              U1#1          U1            U2#1          U2            U3#1
              ________      ________      ________      ________      ________
 U1#1           0.000
 U1             0.000         2.000
 U2#1           0.000         0.000         0.000
 U2             0.000         0.000         0.000         2.000
 U3#1           0.000         0.000         0.000         0.000         0.000
 U3             0.000         0.000         0.000         0.000         0.000
 U4#1           0.000         0.000         0.000         0.000         0.000
 U4             0.000         0.000         0.000         0.000         0.000
 U5#1           0.000         0.000         0.000         0.000         0.000
 U5             0.000         0.000         0.000         0.000         0.000
 U6#1           0.000         0.000         0.000         0.000         0.000
 U6             0.000         0.000         0.000         0.000         0.000
 U7#1           0.000         0.000         0.000         0.000         0.000
 U7             0.000         0.000         0.000         0.000         0.000
 U8#1           0.000         0.000         0.000         0.000         0.000
 U8             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000


           THETA
              U3            U4#1          U4            U5#1          U5
              ________      ________      ________      ________      ________
 U3             2.000
 U4#1           0.000         0.000
 U4             0.000         0.000         2.000
 U5#1           0.000         0.000         0.000         0.000
 U5             0.000         0.000         0.000         0.000         2.000
 U6#1           0.000         0.000         0.000         0.000         0.000
 U6             0.000         0.000         0.000         0.000         0.000
 U7#1           0.000         0.000         0.000         0.000         0.000
 U7             0.000         0.000         0.000         0.000         0.000
 U8#1           0.000         0.000         0.000         0.000         0.000
 U8             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000


           THETA
              U6#1          U6            U7#1          U7            U8#1
              ________      ________      ________      ________      ________
 U6#1           0.000
 U6             0.000         2.000
 U7#1           0.000         0.000         0.000
 U7             0.000         0.000         0.000         2.000
 U8#1           0.000         0.000         0.000         0.000         0.000
 U8             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000


           THETA
              U8            X
              ________      ________
 U8             2.000
 X              0.000         0.000


           ALPHA
              I             S             Q             X
              ________      ________      ________      ________
               -1.000         0.700        -0.100         0.000


           BETA
              I             S             Q             X
              ________      ________      ________      ________
 I              0.000         0.000         0.000         0.020
 S              0.000         0.000         0.000         0.010
 Q              0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000


           PSI
              I             S             Q             X
              ________      ________      ________      ________
 I              0.700
 S              0.000         0.000
 Q              0.000         0.000         0.000
 X              0.000         0.000         0.000         0.500


     STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              C#1           C#2
              ________      ________
                0.000         0.000


           GAMMA(C)
              I             S             Q             X
              ________      ________      ________      ________
 C#1            0.000         0.000         0.000         1.000
 C#2            0.000         0.000         0.000         0.000


     POPULATION VALUES FOR LATENT CLASS 1


           NU
              U1#1          U1            U2#1          U2            U3#1
              ________      ________      ________      ________      ________
              -20.000         0.000       -20.000         0.000       -20.000


           NU
              U3            U4#1          U4            U5#1          U5
              ________      ________      ________      ________      ________
                0.000       -20.000         0.000       -20.000         0.000


           NU
              U6#1          U6            U7#1          U7            U8#1
              ________      ________      ________      ________      ________
              -20.000         0.000       -20.000         0.000       -20.000


           NU
              U8            X
              ________      ________
                0.000         0.000


           LAMBDA
              I             S             Q             X
              ________      ________      ________      ________
 U1#1           0.000         0.000         0.000         0.000
 U1             1.000         0.000         0.000         0.000
 U2#1           0.000         0.000         0.000         0.000
 U2             1.000         1.000         1.000         0.000
 U3#1           0.000         0.000         0.000         0.000
 U3             1.000         2.000         4.000         0.000
 U4#1           0.000         0.000         0.000         0.000
 U4             1.000         3.000         9.000         0.000
 U5#1           0.000         0.000         0.000         0.000
 U5             1.000         4.000        16.000         0.000
 U6#1           0.000         0.000         0.000         0.000
 U6             1.000         5.000        25.000         0.000
 U7#1           0.000         0.000         0.000         0.000
 U7             1.000         6.000        36.000         0.000
 U8#1           0.000         0.000         0.000         0.000
 U8             1.000         7.000        49.000         0.000
 X              0.000         0.000         0.000         1.000


           THETA
              U1#1          U1            U2#1          U2            U3#1
              ________      ________      ________      ________      ________
 U1#1           0.000
 U1             0.000         2.000
 U2#1           0.000         0.000         0.000
 U2             0.000         0.000         0.000         2.000
 U3#1           0.000         0.000         0.000         0.000         0.000
 U3             0.000         0.000         0.000         0.000         0.000
 U4#1           0.000         0.000         0.000         0.000         0.000
 U4             0.000         0.000         0.000         0.000         0.000
 U5#1           0.000         0.000         0.000         0.000         0.000
 U5             0.000         0.000         0.000         0.000         0.000
 U6#1           0.000         0.000         0.000         0.000         0.000
 U6             0.000         0.000         0.000         0.000         0.000
 U7#1           0.000         0.000         0.000         0.000         0.000
 U7             0.000         0.000         0.000         0.000         0.000
 U8#1           0.000         0.000         0.000         0.000         0.000
 U8             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000


           THETA
              U3            U4#1          U4            U5#1          U5
              ________      ________      ________      ________      ________
 U3             2.000
 U4#1           0.000         0.000
 U4             0.000         0.000         2.000
 U5#1           0.000         0.000         0.000         0.000
 U5             0.000         0.000         0.000         0.000         2.000
 U6#1           0.000         0.000         0.000         0.000         0.000
 U6             0.000         0.000         0.000         0.000         0.000
 U7#1           0.000         0.000         0.000         0.000         0.000
 U7             0.000         0.000         0.000         0.000         0.000
 U8#1           0.000         0.000         0.000         0.000         0.000
 U8             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000


           THETA
              U6#1          U6            U7#1          U7            U8#1
              ________      ________      ________      ________      ________
 U6#1           0.000
 U6             0.000         2.000
 U7#1           0.000         0.000         0.000
 U7             0.000         0.000         0.000         2.000
 U8#1           0.000         0.000         0.000         0.000         0.000
 U8             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000


           THETA
              U8            X
              ________      ________
 U8             2.000
 X              0.000         0.000


           ALPHA
              I             S             Q             X
              ________      ________      ________      ________
               -3.000         1.500        -0.200         0.000


           BETA
              I             S             Q             X
              ________      ________      ________      ________
 I              0.000         0.000         0.000         0.020
 S              0.000         0.000         0.000         0.010
 Q              0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000


           PSI
              I             S             Q             X
              ________      ________      ________      ________
 I              0.700
 S              0.000         0.000
 Q              0.000         0.000         0.000
 X              0.000         0.000         0.000         1.000


     POPULATION VALUES FOR LATENT CLASS 2


           NU
              U1#1          U1            U2#1          U2            U3#1
              ________      ________      ________      ________      ________
              -20.000         0.000       -20.000         0.000       -20.000


           NU
              U3            U4#1          U4            U5#1          U5
              ________      ________      ________      ________      ________
                0.000       -20.000         0.000       -20.000         0.000


           NU
              U6#1          U6            U7#1          U7            U8#1
              ________      ________      ________      ________      ________
              -20.000         0.000       -20.000         0.000       -20.000


           NU
              U8            X
              ________      ________
                0.000         0.000


           LAMBDA
              I             S             Q             X
              ________      ________      ________      ________
 U1#1           0.000         0.000         0.000         0.000
 U1             1.000         0.000         0.000         0.000
 U2#1           0.000         0.000         0.000         0.000
 U2             1.000         1.000         1.000         0.000
 U3#1           0.000         0.000         0.000         0.000
 U3             1.000         2.000         4.000         0.000
 U4#1           0.000         0.000         0.000         0.000
 U4             1.000         3.000         9.000         0.000
 U5#1           0.000         0.000         0.000         0.000
 U5             1.000         4.000        16.000         0.000
 U6#1           0.000         0.000         0.000         0.000
 U6             1.000         5.000        25.000         0.000
 U7#1           0.000         0.000         0.000         0.000
 U7             1.000         6.000        36.000         0.000
 U8#1           0.000         0.000         0.000         0.000
 U8             1.000         7.000        49.000         0.000
 X              0.000         0.000         0.000         1.000


           THETA
              U1#1          U1            U2#1          U2            U3#1
              ________      ________      ________      ________      ________
 U1#1           0.000
 U1             0.000         2.000
 U2#1           0.000         0.000         0.000
 U2             0.000         0.000         0.000         2.000
 U3#1           0.000         0.000         0.000         0.000         0.000
 U3             0.000         0.000         0.000         0.000         0.000
 U4#1           0.000         0.000         0.000         0.000         0.000
 U4             0.000         0.000         0.000         0.000         0.000
 U5#1           0.000         0.000         0.000         0.000         0.000
 U5             0.000         0.000         0.000         0.000         0.000
 U6#1           0.000         0.000         0.000         0.000         0.000
 U6             0.000         0.000         0.000         0.000         0.000
 U7#1           0.000         0.000         0.000         0.000         0.000
 U7             0.000         0.000         0.000         0.000         0.000
 U8#1           0.000         0.000         0.000         0.000         0.000
 U8             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000


           THETA
              U3            U4#1          U4            U5#1          U5
              ________      ________      ________      ________      ________
 U3             2.000
 U4#1           0.000         0.000
 U4             0.000         0.000         2.000
 U5#1           0.000         0.000         0.000         0.000
 U5             0.000         0.000         0.000         0.000         2.000
 U6#1           0.000         0.000         0.000         0.000         0.000
 U6             0.000         0.000         0.000         0.000         0.000
 U7#1           0.000         0.000         0.000         0.000         0.000
 U7             0.000         0.000         0.000         0.000         0.000
 U8#1           0.000         0.000         0.000         0.000         0.000
 U8             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000


           THETA
              U6#1          U6            U7#1          U7            U8#1
              ________      ________      ________      ________      ________
 U6#1           0.000
 U6             0.000         2.000
 U7#1           0.000         0.000         0.000
 U7             0.000         0.000         0.000         2.000
 U8#1           0.000         0.000         0.000         0.000         0.000
 U8             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000


           THETA
              U8            X
              ________      ________
 U8             2.000
 X              0.000         0.000


           ALPHA
              I             S             Q             X
              ________      ________      ________      ________
               -1.000         0.700        -0.100         0.000


           BETA
              I             S             Q             X
              ________      ________      ________      ________
 I              0.000         0.000         0.000         0.020
 S              0.000         0.000         0.000         0.010
 Q              0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000


           PSI
              I             S             Q             X
              ________      ________      ________      ________
 I              0.700
 S              0.000         0.000
 Q              0.000         0.000         0.000
 X              0.000         0.000         0.000         1.000


     POPULATION VALUES FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              C#1           C#2
              ________      ________
                0.000         0.000


           GAMMA(C)
              I             S             Q             X
              ________      ________      ________      ________
 C#1            0.000         0.000         0.000         1.000
 C#2            0.000         0.000         0.000         0.000


TECHNICAL 8 OUTPUT


  TECHNICAL 8 OUTPUT FOR REPLICATION 1


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.44400631D+04    0.0000000    0.0000000  EM
              2 -0.44286088D+04   11.4543148    0.0025798  FS
              3 -0.44285958D+04    0.0130464    0.0000029  FS
              4 -0.44263474D+04    2.2484000    0.0005077  EM
              5 -0.44259871D+04    0.3602645    0.0000814  EM
              6 -0.44258865D+04    0.1006420    0.0000227  EM
              7 -0.44258440D+04    0.0424187    0.0000096  EM
              8 -0.44258186D+04    0.0253866    0.0000057  EM
              9 -0.44258002D+04    0.0183986    0.0000042  EM
             10 -0.44257856D+04    0.0146733    0.0000033  EM
             11 -0.44257732D+04    0.0124009    0.0000028  EM
             12 -0.44257622D+04    0.0109254    0.0000025  EM
             13 -0.44257523D+04    0.0099331    0.0000022  EM
             14 -0.44257431D+04    0.0092484    0.0000021  EM
             15 -0.44257343D+04    0.0087663    0.0000020  EM
             16 -0.44257259D+04    0.0084225    0.0000019  EM
             17 -0.44257177D+04    0.0081765    0.0000018  EM
             18 -0.44257097D+04    0.0080026    0.0000018  EM
             19 -0.44257018D+04    0.0078841    0.0000018  EM
             20 -0.44256940D+04    0.0078100    0.0000018  EM
             21 -0.44256862D+04    0.0077727    0.0000018  EM
             22 -0.44256785D+04    0.0077670    0.0000018  EM
             23 -0.44256707D+04    0.0077890    0.0000018  EM
             24 -0.44256628D+04    0.0078359    0.0000018  EM
             25 -0.44256549D+04    0.0079054    0.0000018  EM
             26 -0.44256469D+04    0.0079958    0.0000018  EM
             27 -0.44256388D+04    0.0081058    0.0000018  EM
             28 -0.44256306D+04    0.0082341    0.0000019  EM
             29 -0.44256222D+04    0.0083797    0.0000019  EM
             30 -0.44256137D+04    0.0085417    0.0000019  EM
             31 -0.44256050D+04    0.0087193    0.0000020  EM
             32 -0.44255960D+04    0.0089119    0.0000020  EM
             33 -0.44255869D+04    0.0091187    0.0000021  EM
             34 -0.44255776D+04    0.0093390    0.0000021  EM
             35 -0.44255680D+04    0.0095723    0.0000022  EM
             36 -0.44255582D+04    0.0098178    0.0000022  EM
             37 -0.44255481D+04    0.0100749    0.0000023  EM
             38 -0.44255378D+04    0.0103429    0.0000023  EM
             39 -0.44255272D+04    0.0106211    0.0000024  EM
             40 -0.44255163D+04    0.0109086    0.0000025  EM
             41 -0.44255050D+04    0.0112046    0.0000025  EM
             42 -0.44254935D+04    0.0115081    0.0000026  EM
             43 -0.44254817D+04    0.0118183    0.0000027  EM
             44 -0.44254696D+04    0.0121339    0.0000027  EM
             45 -0.44254571D+04    0.0124539    0.0000028  EM
             46 -0.44254444D+04    0.0127771    0.0000029  EM
             47 -0.44254313D+04    0.0131019    0.0000030  EM
             48 -0.44254178D+04    0.0134272    0.0000030  EM
             49 -0.44254041D+04    0.0137513    0.0000031  EM
             50 -0.44253900D+04    0.0140725    0.0000032  EM
             51 -0.44253756D+04    0.0143893    0.0000033  EM
             52 -0.44253609D+04    0.0146998    0.0000033  EM
             53 -0.44253459D+04    0.0150023    0.0000034  EM
             54 -0.44253306D+04    0.0152948    0.0000035  EM
             55 -0.44253150D+04    0.0155754    0.0000035  EM
             56 -0.44252992D+04    0.0158421    0.0000036  EM
             57 -0.44252831D+04    0.0160930    0.0000036  EM
             58 -0.44252668D+04    0.0163260    0.0000037  EM
             59 -0.44252502D+04    0.0165393    0.0000037  EM
             60 -0.44252335D+04    0.0167308    0.0000038  EM
             61 -0.44248743D+04    0.3592417    0.0000812  QN
             62 -0.44247670D+04    0.1072723    0.0000242  EM
             63 -0.44247486D+04    0.0184097    0.0000042  EM
             64 -0.44247381D+04    0.0104383    0.0000024  EM
             65 -0.44247296D+04    0.0085650    0.0000019  EM
             66 -0.44247220D+04    0.0076017    0.0000017  EM
             67 -0.44247151D+04    0.0069174    0.0000016  EM
             68 -0.44247087D+04    0.0063643    0.0000014  EM
             69 -0.44247028D+04    0.0058849    0.0000013  EM
             70 -0.44246974D+04    0.0054525    0.0000012  EM
             71 -0.44246923D+04    0.0050542    0.0000011  EM
             72 -0.44246876D+04    0.0046835    0.0000011  EM
             73 -0.44246833D+04    0.0043368    0.0000010  EM
             74 -0.44246793D+04    0.0040121    0.0000009  EM
             75 -0.44246366D+04    0.0426651    0.0000096  QN
             76 -0.44246352D+04    0.0013703    0.0000003  EM
             77 -0.44246351D+04    0.0001408    0.0000000  EM


TECHNICAL 9 OUTPUT

  Error messages for each replication (if any)



SAVEDATA INFORMATION

  Order of variables

    U1
    U2
    U3
    U4
    U5
    U6
    U7
    U8
    X
    C

  Save file
    ex8.5b.dat

  Save file format           Free
  Save file record length    10000


     Beginning Time:  22:25:00
        Ending Time:  22:25:04
       Elapsed Time:  00:00:04



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