```Mplus VERSION 8
MUTHEN & MUTHEN
04/10/2017   3:29 AM

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;

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
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        326.32027          0.65264
2        173.67973          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     0.2495     0.0000     0.1804     0.5633 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

ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
1 -0.44400631D+04    0.0000000    0.0000000    245.797   254.203    EM
2 -0.44286088D+04   11.4543148    0.0025798    290.202   209.798    FS
3 -0.44285958D+04    0.0130464    0.0000029    399.066   100.934    FS
4 -0.44263474D+04    2.2484000    0.0005077    395.128   104.872    EM
5 -0.44259871D+04    0.3602645    0.0000814    393.102   106.898    EM
6 -0.44258865D+04    0.1006420    0.0000227    391.885   108.115    EM
7 -0.44258440D+04    0.0424187    0.0000096    391.010   108.990    EM
8 -0.44258186D+04    0.0253866    0.0000057    390.282   109.718    EM
9 -0.44258002D+04    0.0183986    0.0000042    389.617   110.383    EM
10 -0.44257856D+04    0.0146733    0.0000033    388.979   111.021    EM
11 -0.44257732D+04    0.0124009    0.0000028    388.352   111.648    EM
12 -0.44257622D+04    0.0109254    0.0000025    387.731   112.269    EM
13 -0.44257523D+04    0.0099331    0.0000022    387.113   112.887    EM
14 -0.44257431D+04    0.0092484    0.0000021    386.497   113.503    EM
15 -0.44257343D+04    0.0087663    0.0000020    385.881   114.119    EM
16 -0.44257259D+04    0.0084225    0.0000019    385.267   114.733    EM
17 -0.44257177D+04    0.0081765    0.0000018    384.653   115.347    EM
18 -0.44257097D+04    0.0080026    0.0000018    384.040   115.960    EM
19 -0.44257018D+04    0.0078841    0.0000018    383.428   116.572    EM
20 -0.44256940D+04    0.0078100    0.0000018    382.816   117.184    EM
21 -0.44256862D+04    0.0077727    0.0000018    382.204   117.796    EM
22 -0.44256785D+04    0.0077670    0.0000018    381.592   118.408    EM
23 -0.44256707D+04    0.0077890    0.0000018    380.980   119.020    EM
24 -0.44256628D+04    0.0078359    0.0000018    380.367   119.633    EM
25 -0.44256549D+04    0.0079054    0.0000018    379.754   120.246    EM
26 -0.44256469D+04    0.0079958    0.0000018    379.139   120.861    EM
27 -0.44256388D+04    0.0081058    0.0000018    378.524   121.476    EM
28 -0.44256306D+04    0.0082341    0.0000019    377.908   122.092    EM
29 -0.44256222D+04    0.0083797    0.0000019    377.290   122.710    EM
30 -0.44256137D+04    0.0085417    0.0000019    376.671   123.329    EM
31 -0.44256050D+04    0.0087193    0.0000020    376.050   123.950    EM
32 -0.44255960D+04    0.0089119    0.0000020    375.428   124.572    EM
33 -0.44255869D+04    0.0091187    0.0000021    374.803   125.197    EM
34 -0.44255776D+04    0.0093390    0.0000021    374.176   125.824    EM
35 -0.44255680D+04    0.0095723    0.0000022    373.548   126.452    EM
36 -0.44255582D+04    0.0098178    0.0000022    372.917   127.083    EM
37 -0.44255481D+04    0.0100749    0.0000023    372.284   127.716    EM
38 -0.44255378D+04    0.0103429    0.0000023    371.649   128.351    EM
39 -0.44255272D+04    0.0106211    0.0000024    371.011   128.989    EM
40 -0.44255163D+04    0.0109086    0.0000025    370.371   129.629    EM
41 -0.44255050D+04    0.0112046    0.0000025    369.729   130.271    EM
42 -0.44254935D+04    0.0115081    0.0000026    369.084   130.916    EM
43 -0.44254817D+04    0.0118183    0.0000027    368.437   131.563    EM
44 -0.44254696D+04    0.0121339    0.0000027    367.788   132.212    EM
45 -0.44254571D+04    0.0124539    0.0000028    367.137   132.863    EM
46 -0.44254444D+04    0.0127771    0.0000029    366.484   133.516    EM
47 -0.44254313D+04    0.0131019    0.0000030    365.829   134.171    EM
48 -0.44254178D+04    0.0134272    0.0000030    365.172   134.828    EM
49 -0.44254041D+04    0.0137513    0.0000031    364.514   135.486    EM
50 -0.44253900D+04    0.0140725    0.0000032    363.854   136.146    EM
51 -0.44253756D+04    0.0143893    0.0000033    363.193   136.807    EM
52 -0.44253609D+04    0.0146998    0.0000033    362.531   137.469    EM
53 -0.44253459D+04    0.0150023    0.0000034    361.869   138.131    EM
54 -0.44253306D+04    0.0152948    0.0000035    361.206   138.794    EM
55 -0.44253150D+04    0.0155754    0.0000035    360.542   139.458    EM
56 -0.44252992D+04    0.0158421    0.0000036    359.879   140.121    EM
57 -0.44252831D+04    0.0160930    0.0000036    359.216   140.784    EM
58 -0.44252668D+04    0.0163260    0.0000037    358.554   141.446    EM
59 -0.44252502D+04    0.0165393    0.0000037    357.892   142.108    EM
60 -0.44252335D+04    0.0167308    0.0000038    357.233   142.767    EM
61 -0.44248743D+04    0.3592417    0.0000812    330.468   169.532    QN
62 -0.44247670D+04    0.1072723    0.0000242    330.841   169.159    EM
63 -0.44247486D+04    0.0184097    0.0000042    330.817   169.183    EM
64 -0.44247381D+04    0.0104383    0.0000024    330.676   169.324    EM
65 -0.44247296D+04    0.0085650    0.0000019    330.500   169.500    EM
66 -0.44247220D+04    0.0076017    0.0000017    330.316   169.684    EM
67 -0.44247151D+04    0.0069174    0.0000016    330.134   169.866    EM
68 -0.44247087D+04    0.0063643    0.0000014    329.957   170.043    EM
69 -0.44247028D+04    0.0058849    0.0000013    329.785   170.215    EM
70 -0.44246974D+04    0.0054525    0.0000012    329.619   170.381    EM
71 -0.44246923D+04    0.0050542    0.0000011    329.459   170.541    EM
72 -0.44246876D+04    0.0046835    0.0000011    329.306   170.694    EM
73 -0.44246833D+04    0.0043368    0.0000010    329.158   170.842    EM
74 -0.44246793D+04    0.0040121    0.0000009    329.017   170.983    EM
75 -0.44246366D+04    0.0426651    0.0000096    326.295   173.705    QN
76 -0.44246352D+04    0.0013703    0.0000003    326.320   173.680    EM
77 -0.44246351D+04    0.0001408    0.0000000    326.319   173.681    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:  03:29:49
Ending Time:  03:29:53
Elapsed Time:  00:00:04

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