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

INPUT INSTRUCTIONS

  title:	this is an example of GMM with known
  	classes (multiple group analysis)

  montecarlo:
  	names are y1-y4 g x;
  	generate = g(1);
  	categorical = g;
  	genclasses = cg(2) c(2);
  	classes = cg(2) c(2);
  	nobs = 1000;
  	seed = 3454367;
  	nrep = 1;
  	save = ex8.8.dat;

  analysis:
  	type = mixture;

  model population:

  	%overall%

  	[x@0]; x@1;

  	i s | y1@0 y2@1 y3@2 y4@3;
  	
  	y1-y4*.5;
  	i*1; s*.2;

  	c#1 on cg#1*1 x*1;

  	i on x*.5;
  	s on x*.2;

  	%cg#1.c#1%
  	[g$1@15];
  	[i*2 s*1];

  	%cg#1.c#2%
  	[g$1@15];
  	[i*0 s*0];

  	%cg#2.c#1%
  	[g$1@-15];
  	[i*3 s*1.5];

  	%cg#2.c#2%
  	[g$1@-15];
  	[i*1 s*.5];



  model:

  	%overall%


  	i s | y1@0 y2@1 y3@2 y4@3;
  	
  	y1-y4*.5;
  	i*1; s*.2;

  	c#1 on cg#1*1 x*1;

  	i on x*.5;
  	s on x*.2;

  	%cg#1.c#1%
  	[g$1@15];
  	[i*2 s*1];

  	%cg#1.c#2%
  	[g$1@15];
  	[i*0 s*0];

  	%cg#2.c#1%
  	[g$1@-15];
  	[i*3 s*1.5];

  	%cg#2.c#2%
  	[g$1@-15];
  	[i*1 s*.5];


  output:
  	tech8 tech9;



INPUT READING TERMINATED NORMALLY



this is an example of GMM with known
classes (multiple group analysis)

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                        1000

Number of replications
    Requested                                                    1
    Completed                                                    1
Value of seed                                              3454367

Number of dependent variables                                    5
Number of independent variables                                  1
Number of continuous latent variables                            2
Number of categorical latent variables                           2

Observed dependent variables

  Continuous
   Y1          Y2          Y3          Y4

  Binary and ordered categorical (ordinal)
   G

Observed independent variables
   X

Continuous latent variables
   I           S

Categorical latent variables
   CG          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-06
    Relative loglikelihood change                        0.100D-06
    Derivative                                           0.100D-05
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-05
  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-05
  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
Parameterization                                             LOGIT
Link                                                         LOGIT


SAMPLE STATISTICS FOR THE FIRST REPLICATION


     SAMPLE STATISTICS


           Means
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
                1.615         2.434         3.241         4.068        -0.040


           Covariances
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1             2.928
 Y2             3.186         5.072
 Y3             3.994         5.952         8.387
 Y4             4.646         7.145         9.688        12.519
 X              0.881         1.336         1.758         2.167         1.023


           Correlations
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1             1.000
 Y2             0.827         1.000
 Y3             0.806         0.913         1.000
 Y4             0.767         0.897         0.945         1.000
 X              0.509         0.586         0.600         0.605         1.000




MODEL FIT INFORMATION

Number of Free Parameters                       21

Loglikelihood

    H0 Value

        Mean                             -7051.578
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        -7051.578      -7051.578
           0.980       0.000        -7051.578      -7051.578
           0.950       0.000        -7051.578      -7051.578
           0.900       0.000        -7051.578      -7051.578
           0.800       0.000        -7051.578      -7051.578
           0.700       0.000        -7051.578      -7051.578
           0.500       0.000        -7051.578      -7051.578
           0.300       0.000        -7051.578      -7051.578
           0.200       0.000        -7051.578      -7051.578
           0.100       0.000        -7051.578      -7051.578
           0.050       0.000        -7051.578      -7051.578
           0.020       0.000        -7051.578      -7051.578
           0.010       0.000        -7051.578      -7051.578

Information Criteria

    Akaike (AIC)

        Mean                             14145.157
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        14145.157      14145.157
           0.980       0.000        14145.157      14145.157
           0.950       0.000        14145.157      14145.157
           0.900       0.000        14145.157      14145.157
           0.800       0.000        14145.157      14145.157
           0.700       0.000        14145.157      14145.157
           0.500       0.000        14145.157      14145.157
           0.300       0.000        14145.157      14145.157
           0.200       0.000        14145.157      14145.157
           0.100       0.000        14145.157      14145.157
           0.050       0.000        14145.157      14145.157
           0.020       0.000        14145.157      14145.157
           0.010       0.000        14145.157      14145.157

    Bayesian (BIC)

        Mean                             14248.219
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        14248.219      14248.219
           0.980       0.000        14248.219      14248.219
           0.950       0.000        14248.219      14248.219
           0.900       0.000        14248.219      14248.219
           0.800       0.000        14248.219      14248.219
           0.700       0.000        14248.219      14248.219
           0.500       0.000        14248.219      14248.219
           0.300       0.000        14248.219      14248.219
           0.200       0.000        14248.219      14248.219
           0.100       0.000        14248.219      14248.219
           0.050       0.000        14248.219      14248.219
           0.020       0.000        14248.219      14248.219
           0.010       0.000        14248.219      14248.219

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

        Mean                             14181.522
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        14181.522      14181.522
           0.980       0.000        14181.522      14181.522
           0.950       0.000        14181.522      14181.522
           0.900       0.000        14181.522      14181.522
           0.800       0.000        14181.522      14181.522
           0.700       0.000        14181.522      14181.522
           0.500       0.000        14181.522      14181.522
           0.300       0.000        14181.522      14181.522
           0.200       0.000        14181.522      14181.522
           0.100       0.000        14181.522      14181.522
           0.050       0.000        14181.522      14181.522
           0.020       0.000        14181.522      14181.522
           0.010       0.000        14181.522      14181.522

Chi-Square Test of Model Fit for the Binary and Ordered Categorical
(Ordinal) Outcomes

    Pearson Chi-Square

        Mean                                 0.000
        Std Dev                              0.000
        Degrees of freedom                       0
        Number of successful computations        1

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

    Likelihood Ratio Chi-Square

        Mean                                 0.000
        Std Dev                              0.000
        Degrees of freedom                       0
        Number of successful computations        1

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



MODEL RESULTS USE THE LATENT CLASS VARIABLE ORDER

   CG  C


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

  Latent Class
    Pattern

    1  1        354.52759          0.35453
    1  2        158.47242          0.15847
    2  1        243.50309          0.24350
    2  2        243.49691          0.24350


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

  Latent Class
    Variable    Class

    CG             1       513.00000          0.51300
                   2       487.00000          0.48700
    C              1       598.03070          0.59803
                   2       401.96933          0.40197


LATENT TRANSITION PROBABILITIES BASED ON THE ESTIMATED MODEL

  CG Classes (Rows) by C Classes (Columns)

            1        2

   1     0.691    0.309
   2     0.500    0.500


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

  Latent Class
    Pattern

    1  1        359.34776          0.35935
    1  2        153.65224          0.15365
    2  1        238.79358          0.23879
    2  2        248.20642          0.24821


FINAL CLASS COUNTS AND PROPORTIONS FOR EACH LATENT CLASS VARIABLE
BASED ON ESTIMATED POSTERIOR PROBABILITIES

  Latent Class
    Variable    Class

    CG             1       513.00000          0.51300
                   2       487.00000          0.48700
    C              1       598.14136          0.59814
                   2       401.85864          0.40186


FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASS PATTERNS
BASED ON THEIR MOST LIKELY LATENT CLASS PATTERN

Class Counts and Proportions

  Latent Class
    Pattern

    1  1              368          0.36800
    1  2              145          0.14500
    2  1              239          0.23900
    2  2              248          0.24800


FINAL CLASS COUNTS AND PROPORTIONS FOR EACH LATENT CLASS VARIABLE
BASED ON THEIR MOST LIKELY LATENT CLASS PATTERN

  Latent Class
    Variable    Class

    CG             1             513          0.51300
                   2             487          0.48700
    C              1             607          0.60700
                   2             393          0.39300


CLASSIFICATION QUALITY

     Entropy                         0.886


MODEL RESULTS

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

Parameters in the Overall Part of the Model (Parameters Equal in All of the Classes)

 I        |
  Y1                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y3                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y4                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

 S        |
  Y1                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y3                  2.000     2.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y4                  3.000     3.0000     0.0000     0.0000     0.0000 1.000 0.000

 I          ON
  X                   0.500     0.4689     0.0000     0.0465     0.0010 1.000 1.000

 S          ON
  X                   0.200     0.1969     0.0000     0.0244     0.0000 1.000 1.000

 S        WITH
  I                   0.000     0.0200     0.0000     0.0257     0.0004 1.000 0.000

 Intercepts
  Y1                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y3                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y4                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

 Residual Variances
  Y1                  0.500     0.5108     0.0000     0.0451     0.0001 1.000 1.000
  Y2                  0.500     0.5186     0.0000     0.0293     0.0003 1.000 1.000
  Y3                  0.500     0.4520     0.0000     0.0325     0.0023 1.000 1.000
  Y4                  0.500     0.5760     0.0000     0.0602     0.0058 1.000 1.000
  I                   1.000     1.0168     0.0000     0.0738     0.0003 1.000 1.000
  S                   0.200     0.1810     0.0000     0.0172     0.0004 1.000 1.000

Parameters for Class-specific Model Parts

Latent Class Pattern 1 1

 Intercepts
  I                   2.000     1.9566     0.0000     0.0682     0.0019 1.000 1.000
  S                   1.000     1.0483     0.0000     0.0371     0.0023 1.000 1.000

 Thresholds
  G$1                15.000    15.0000     0.0000     0.0000     0.0000 1.000 0.000

Latent Class Pattern 1 2

 Intercepts
  I                   0.000     0.1105     0.0000     0.1357     0.0122 1.000 0.000
  S                   0.000    -0.1172     0.0000     0.0517     0.0137 0.000 1.000

 Thresholds
  G$1                15.000    15.0000     0.0000     0.0000     0.0000 1.000 0.000

Latent Class Pattern 2 1

 Intercepts
  I                   3.000     2.8051     0.0000     0.0932     0.0380 0.000 1.000
  S                   1.500     1.4053     0.0000     0.0367     0.0090 0.000 1.000

 Thresholds
  G$1               -15.000   -15.0000     0.0000     0.0000     0.0000 1.000 0.000

Latent Class Pattern 2 2

 Intercepts
  I                   1.000     0.9807     0.0000     0.0851     0.0004 1.000 1.000
  S                   0.500     0.5235     0.0000     0.0454     0.0006 1.000 1.000

 Thresholds
  G$1               -15.000   -15.0000     0.0000     0.0000     0.0000 1.000 0.000

Categorical Latent Variables

 C#1      ON
  CG#1                1.000     1.0749     0.0000     0.2169     0.0056 1.000 1.000

 C#1        ON
  X                   1.000     1.3286     0.0000     0.1364     0.1080 0.000 1.000

 Means
  CG#1                0.000     0.0520     0.0000     0.0633     0.0027 1.000 0.000
  C#1                 0.000     0.0604     0.0000     0.1457     0.0037 1.000 0.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.350E-02
       (ratio of smallest to largest eigenvalue)


C-SPECIFIC CLASSIFICATION RESULTS

Classification Quality for CG

     Entropy                         1.000

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

           1        2

    1   1.000    0.000
    2   0.000    1.000

Classification Quality for C

     Entropy                         0.772

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

           1        2

    1   0.942    0.058
    2   0.068    0.932


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 1 1


           NU
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           LAMBDA
              I             S             X
              ________      ________      ________
 Y1                 0             0             0
 Y2                 0             0             0
 Y3                 0             0             0
 Y4                 0             0             0
 X                  0             0             0


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1                 1
 Y2                 0             2
 Y3                 0             0             3
 Y4                 0             0             0             4
 X                  0             0             0             0             0


           ALPHA
              I             S             X
              ________      ________      ________
                    5             6             0


           BETA
              I             S             X
              ________      ________      ________
 I                  0             0             7
 S                  0             0             8
 X                  0             0             0


           PSI
              I             S             X
              ________      ________      ________
 I                  9
 S                 10            11
 X                  0             0             0


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 1 2


           NU
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           LAMBDA
              I             S             X
              ________      ________      ________
 Y1                 0             0             0
 Y2                 0             0             0
 Y3                 0             0             0
 Y4                 0             0             0
 X                  0             0             0


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1                 1
 Y2                 0             2
 Y3                 0             0             3
 Y4                 0             0             0             4
 X                  0             0             0             0             0


           ALPHA
              I             S             X
              ________      ________      ________
                   12            13             0


           BETA
              I             S             X
              ________      ________      ________
 I                  0             0             7
 S                  0             0             8
 X                  0             0             0


           PSI
              I             S             X
              ________      ________      ________
 I                  9
 S                 10            11
 X                  0             0             0


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 2 1


           NU
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           LAMBDA
              I             S             X
              ________      ________      ________
 Y1                 0             0             0
 Y2                 0             0             0
 Y3                 0             0             0
 Y4                 0             0             0
 X                  0             0             0


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1                 1
 Y2                 0             2
 Y3                 0             0             3
 Y4                 0             0             0             4
 X                  0             0             0             0             0


           ALPHA
              I             S             X
              ________      ________      ________
                   14            15             0


           BETA
              I             S             X
              ________      ________      ________
 I                  0             0             7
 S                  0             0             8
 X                  0             0             0


           PSI
              I             S             X
              ________      ________      ________
 I                  9
 S                 10            11
 X                  0             0             0


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 2 2


           NU
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           LAMBDA
              I             S             X
              ________      ________      ________
 Y1                 0             0             0
 Y2                 0             0             0
 Y3                 0             0             0
 Y4                 0             0             0
 X                  0             0             0


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1                 1
 Y2                 0             2
 Y3                 0             0             3
 Y4                 0             0             0             4
 X                  0             0             0             0             0


           ALPHA
              I             S             X
              ________      ________      ________
                   16            17             0


           BETA
              I             S             X
              ________      ________      ________
 I                  0             0             7
 S                  0             0             8
 X                  0             0             0


           PSI
              I             S             X
              ________      ________      ________
 I                  9
 S                 10            11
 X                  0             0             0


     PARAMETER SPECIFICATION FOR LATENT CLASS INDICATOR MODEL PART


           TAU(U) FOR LATENT CLASS PATTERN 1 1
              G$1
              ________
                    0


           TAU(U) FOR LATENT CLASS PATTERN 1 2
              G$1
              ________
                    0


           TAU(U) FOR LATENT CLASS PATTERN 2 1
              G$1
              ________
                    0


           TAU(U) FOR LATENT CLASS PATTERN 2 2
              G$1
              ________
                    0


     PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              CG#1          CG#2          C#1           C#2
              ________      ________      ________      ________
                   18             0            19             0


           GAMMA(C)
              X
              ________
 CG#1               0
 CG#2               0
 C#1               20
 C#2                0


           BETA(C)
              CG#1          CG#2
              ________      ________
 C#1               21             0
 C#2                0             0


     STARTING VALUES FOR LATENT CLASS PATTERN 1 1


           NU
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           LAMBDA
              I             S             X
              ________      ________      ________
 Y1             1.000         0.000         0.000
 Y2             1.000         1.000         0.000
 Y3             1.000         2.000         0.000
 Y4             1.000         3.000         0.000
 X              0.000         0.000         1.000


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1             0.500
 Y2             0.000         0.500
 Y3             0.000         0.000         0.500
 Y4             0.000         0.000         0.000         0.500
 X              0.000         0.000         0.000         0.000         0.000


           ALPHA
              I             S             X
              ________      ________      ________
                2.000         1.000         0.000


           BETA
              I             S             X
              ________      ________      ________
 I              0.000         0.000         0.500
 S              0.000         0.000         0.200
 X              0.000         0.000         0.000


           PSI
              I             S             X
              ________      ________      ________
 I              1.000
 S              0.000         0.200
 X              0.000         0.000         0.500


     STARTING VALUES FOR LATENT CLASS PATTERN 1 2


           NU
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           LAMBDA
              I             S             X
              ________      ________      ________
 Y1             1.000         0.000         0.000
 Y2             1.000         1.000         0.000
 Y3             1.000         2.000         0.000
 Y4             1.000         3.000         0.000
 X              0.000         0.000         1.000


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1             0.500
 Y2             0.000         0.500
 Y3             0.000         0.000         0.500
 Y4             0.000         0.000         0.000         0.500
 X              0.000         0.000         0.000         0.000         0.000


           ALPHA
              I             S             X
              ________      ________      ________
                0.000         0.000         0.000


           BETA
              I             S             X
              ________      ________      ________
 I              0.000         0.000         0.500
 S              0.000         0.000         0.200
 X              0.000         0.000         0.000


           PSI
              I             S             X
              ________      ________      ________
 I              1.000
 S              0.000         0.200
 X              0.000         0.000         0.500


     STARTING VALUES FOR LATENT CLASS PATTERN 2 1


           NU
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           LAMBDA
              I             S             X
              ________      ________      ________
 Y1             1.000         0.000         0.000
 Y2             1.000         1.000         0.000
 Y3             1.000         2.000         0.000
 Y4             1.000         3.000         0.000
 X              0.000         0.000         1.000


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1             0.500
 Y2             0.000         0.500
 Y3             0.000         0.000         0.500
 Y4             0.000         0.000         0.000         0.500
 X              0.000         0.000         0.000         0.000         0.000


           ALPHA
              I             S             X
              ________      ________      ________
                3.000         1.500         0.000


           BETA
              I             S             X
              ________      ________      ________
 I              0.000         0.000         0.500
 S              0.000         0.000         0.200
 X              0.000         0.000         0.000


           PSI
              I             S             X
              ________      ________      ________
 I              1.000
 S              0.000         0.200
 X              0.000         0.000         0.500


     STARTING VALUES FOR LATENT CLASS PATTERN 2 2


           NU
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           LAMBDA
              I             S             X
              ________      ________      ________
 Y1             1.000         0.000         0.000
 Y2             1.000         1.000         0.000
 Y3             1.000         2.000         0.000
 Y4             1.000         3.000         0.000
 X              0.000         0.000         1.000


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1             0.500
 Y2             0.000         0.500
 Y3             0.000         0.000         0.500
 Y4             0.000         0.000         0.000         0.500
 X              0.000         0.000         0.000         0.000         0.000


           ALPHA
              I             S             X
              ________      ________      ________
                1.000         0.500         0.000


           BETA
              I             S             X
              ________      ________      ________
 I              0.000         0.000         0.500
 S              0.000         0.000         0.200
 X              0.000         0.000         0.000


           PSI
              I             S             X
              ________      ________      ________
 I              1.000
 S              0.000         0.200
 X              0.000         0.000         0.500


     STARTING VALUES FOR LATENT CLASS INDICATOR MODEL PART


           TAU(U) FOR LATENT CLASS PATTERN 1 1
              G$1
              ________
               15.000


           TAU(U) FOR LATENT CLASS PATTERN 1 2
              G$1
              ________
               15.000


           TAU(U) FOR LATENT CLASS PATTERN 2 1
              G$1
              ________
              -15.000


           TAU(U) FOR LATENT CLASS PATTERN 2 2
              G$1
              ________
              -15.000


     STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART


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


           GAMMA(C)
              X
              ________
 CG#1           0.000
 CG#2           0.000
 C#1            1.000
 C#2            0.000


           BETA(C)
              CG#1          CG#2
              ________      ________
 C#1            1.000         0.000
 C#2            0.000         0.000


     POPULATION VALUES FOR LATENT CLASS PATTERN 1 1


           NU
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           LAMBDA
              I             S             X
              ________      ________      ________
 Y1             1.000         0.000         0.000
 Y2             1.000         1.000         0.000
 Y3             1.000         2.000         0.000
 Y4             1.000         3.000         0.000
 X              0.000         0.000         1.000


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1             0.500
 Y2             0.000         0.500
 Y3             0.000         0.000         0.500
 Y4             0.000         0.000         0.000         0.500
 X              0.000         0.000         0.000         0.000         0.000


           ALPHA
              I             S             X
              ________      ________      ________
                2.000         1.000         0.000


           BETA
              I             S             X
              ________      ________      ________
 I              0.000         0.000         0.500
 S              0.000         0.000         0.200
 X              0.000         0.000         0.000


           PSI
              I             S             X
              ________      ________      ________
 I              1.000
 S              0.000         0.200
 X              0.000         0.000         1.000


     POPULATION VALUES FOR LATENT CLASS PATTERN 1 2


           NU
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           LAMBDA
              I             S             X
              ________      ________      ________
 Y1             1.000         0.000         0.000
 Y2             1.000         1.000         0.000
 Y3             1.000         2.000         0.000
 Y4             1.000         3.000         0.000
 X              0.000         0.000         1.000


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1             0.500
 Y2             0.000         0.500
 Y3             0.000         0.000         0.500
 Y4             0.000         0.000         0.000         0.500
 X              0.000         0.000         0.000         0.000         0.000


           ALPHA
              I             S             X
              ________      ________      ________
                0.000         0.000         0.000


           BETA
              I             S             X
              ________      ________      ________
 I              0.000         0.000         0.500
 S              0.000         0.000         0.200
 X              0.000         0.000         0.000


           PSI
              I             S             X
              ________      ________      ________
 I              1.000
 S              0.000         0.200
 X              0.000         0.000         1.000


     POPULATION VALUES FOR LATENT CLASS PATTERN 2 1


           NU
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           LAMBDA
              I             S             X
              ________      ________      ________
 Y1             1.000         0.000         0.000
 Y2             1.000         1.000         0.000
 Y3             1.000         2.000         0.000
 Y4             1.000         3.000         0.000
 X              0.000         0.000         1.000


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1             0.500
 Y2             0.000         0.500
 Y3             0.000         0.000         0.500
 Y4             0.000         0.000         0.000         0.500
 X              0.000         0.000         0.000         0.000         0.000


           ALPHA
              I             S             X
              ________      ________      ________
                3.000         1.500         0.000


           BETA
              I             S             X
              ________      ________      ________
 I              0.000         0.000         0.500
 S              0.000         0.000         0.200
 X              0.000         0.000         0.000


           PSI
              I             S             X
              ________      ________      ________
 I              1.000
 S              0.000         0.200
 X              0.000         0.000         1.000


     POPULATION VALUES FOR LATENT CLASS PATTERN 2 2


           NU
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           LAMBDA
              I             S             X
              ________      ________      ________
 Y1             1.000         0.000         0.000
 Y2             1.000         1.000         0.000
 Y3             1.000         2.000         0.000
 Y4             1.000         3.000         0.000
 X              0.000         0.000         1.000


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1             0.500
 Y2             0.000         0.500
 Y3             0.000         0.000         0.500
 Y4             0.000         0.000         0.000         0.500
 X              0.000         0.000         0.000         0.000         0.000


           ALPHA
              I             S             X
              ________      ________      ________
                1.000         0.500         0.000


           BETA
              I             S             X
              ________      ________      ________
 I              0.000         0.000         0.500
 S              0.000         0.000         0.200
 X              0.000         0.000         0.000


           PSI
              I             S             X
              ________      ________      ________
 I              1.000
 S              0.000         0.200
 X              0.000         0.000         1.000


     POPULATION VALUES FOR LATENT CLASS INDICATOR MODEL PART


           TAU(U) FOR LATENT CLASS PATTERN 1 1
              G$1
              ________
               15.000


           TAU(U) FOR LATENT CLASS PATTERN 1 2
              G$1
              ________
               15.000


           TAU(U) FOR LATENT CLASS PATTERN 2 1
              G$1
              ________
              -15.000


           TAU(U) FOR LATENT CLASS PATTERN 2 2
              G$1
              ________
              -15.000


     POPULATION VALUES FOR LATENT CLASS REGRESSION MODEL PART


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


           GAMMA(C)
              X
              ________
 CG#1           0.000
 CG#2           0.000
 C#1            1.000
 C#2            0.000


           BETA(C)
              CG#1          CG#2
              ________      ________
 C#1            1.000         0.000
 C#2            0.000         0.000


TECHNICAL 8 OUTPUT


  TECHNICAL 8 OUTPUT FOR REPLICATION 1


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.70680535D+04    0.0000000    0.0000000  EM
              2 -0.70532491D+04   14.8043631    0.0020945  EM
              3 -0.70522822D+04    0.9669145    0.0001371  EM
              4 -0.70519031D+04    0.3790780    0.0000538  EM
              5 -0.70517298D+04    0.1733365    0.0000246  EM
              6 -0.70516494D+04    0.0803697    0.0000114  EM
              7 -0.70516119D+04    0.0375309    0.0000053  EM
              8 -0.70515942D+04    0.0176456    0.0000025  EM
              9 -0.70515859D+04    0.0083467    0.0000012  EM
             10 -0.70515819D+04    0.0039683    0.0000006  EM
             11 -0.70515800D+04    0.0018943    0.0000003  EM
             12 -0.70515791D+04    0.0009070    0.0000001  EM
             13 -0.70515787D+04    0.0004353    0.0000001  EM
             14 -0.70515785D+04    0.0002094    0.0000000  EM
             15 -0.70515784D+04    0.0001007    0.0000000  EM
             16 -0.70515783D+04    0.0000485    0.0000000  EM
             17 -0.70515783D+04    0.0000234    0.0000000  EM
             18 -0.70515783D+04    0.0000113    0.0000000  EM
             19 -0.70515783D+04    0.0000054    0.0000000  EM
             20 -0.70515783D+04    0.0000026    0.0000000  EM
             21 -0.70515783D+04    0.0000013    0.0000000  EM
             22 -0.70515783D+04    0.0000006    0.0000000  EM
             23 -0.70515783D+04    0.0000003    0.0000000  EM
             24 -0.70515783D+04    0.0000001    0.0000000  EM
             25 -0.70515783D+04    0.0000001    0.0000000  EM
             26 -0.70515783D+04    0.0000000    0.0000000  EM
             27 -0.70515783D+04    0.0000000    0.0000000  EM
             28 -0.70515783D+04    0.0000000    0.0000000  EM


TECHNICAL 9 OUTPUT

  Error messages for each replication (if any)



SAVEDATA INFORMATION

  Order of variables

    G
    Y1
    Y2
    Y3
    Y4
    X
    CG
    C

  Save file
    ex8.8.dat

  Save file format           Free
  Save file record length    10000


     Beginning Time:  22:25:06
        Ending Time:  22:25:07
       Elapsed Time:  00:00:01



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