Mplus VERSION 7
MUTHEN & MUTHEN
09/22/2012  10:04 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              1.615         2.434         3.241         4.068        -0.040


           Covariances
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1             2.931
 Y2             3.189         5.077
 Y3             3.998         5.958         8.395
 Y4             4.651         7.153         9.698        12.532
 X              0.882         1.338         1.760         2.170         1.025


           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

  Latent Class Variable Patterns

         CG         C
      Class     Class

         1         1
         1         2
         2         1
         2         2


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 CLASSES
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


CLASSIFICATION QUALITY

     Entropy                         0.886


CLASSIFICATION OF INDIVIDUALS 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


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

  Latent Class Variable Patterns

  Latent Class         CG         C
   Pattern No.      Class     Class

         1             1         1
         2             1         2
         3             2         1
         4             2         2

           1        2        3        4

    1   0.953    0.047    0.000    0.000
    2   0.060    0.940    0.000    0.000
    3   0.000    0.000    0.925    0.075
    4   0.000    0.000    0.072    0.928


CLASSIFICATION OF INDIVIDUALS BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP
FOR EACH LATENT CLASS VARIABLE

  Latent Class
    Variable    Class

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


MODEL RESULTS

                           ESTIMATES              S. E.     M. S. E.  95%  % Sig
              Population   Average   Std. Dev.   Average             Cover Coeff
Latent Class Pattern 1 1

 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
  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

 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

Latent Class Pattern 1 2

 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
  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

 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

Latent Class Pattern 2 1

 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
  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

 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

Latent Class Pattern 2 2

 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
  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

 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

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)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 1 1


           NU
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 1                  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
              ________      ________      ________
 1                  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
              ________      ________      ________      ________      ________
 1                  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
              ________      ________      ________
 1                 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
              ________      ________      ________      ________      ________
 1                  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
              ________      ________      ________
 1                 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
              ________      ________      ________      ________      ________
 1                  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
              ________      ________      ________
 1                 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
              ________
 1                  0


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


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


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


     PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              CG#1          CG#2          C#1           C#2
              ________      ________      ________      ________
 1                 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
              ________      ________      ________      ________      ________
 1              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              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
              ________      ________      ________      ________      ________
 1              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              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
              ________      ________      ________      ________      ________
 1              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              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
              ________      ________      ________      ________      ________
 1              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              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
              ________
 1             15.000


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


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


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


     STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              CG#1          CG#2          C#1           C#2
              ________      ________      ________      ________
 1              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
              ________      ________      ________      ________      ________
 1              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              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
              ________      ________      ________      ________      ________
 1              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              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
              ________      ________      ________      ________      ________
 1              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              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
              ________      ________      ________      ________      ________
 1              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              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
              ________
 1             15.000


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


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


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


     POPULATION VALUES FOR LATENT CLASS REGRESSION MODEL PART


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


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.70680535D+04    0.0000000    0.0000000    357.390   155.610    EM
                                                    228.067   258.933
     2 -0.70532491D+04   14.8043631    0.0020945    357.671   155.329    EM
                                                    231.149   255.851
     3 -0.70522822D+04    0.9669145    0.0001371    358.107   154.893    EM
                                                    233.287   253.713
     4 -0.70519031D+04    0.3790780    0.0000538    358.442   154.558    EM
                                                    234.854   252.146
     5 -0.70517298D+04    0.1733365    0.0000246    358.689   154.311    EM
                                                    235.989   251.011
     6 -0.70516494D+04    0.0803697    0.0000114    358.871   154.129    EM
                                                    236.805   250.195
     7 -0.70516119D+04    0.0375309    0.0000053    359.004   153.996    EM
                                                    237.388   249.612
     8 -0.70515942D+04    0.0176456    0.0000025    359.102   153.898    EM
                                                    237.803   249.197
     9 -0.70515859D+04    0.0083467    0.0000012    359.172   153.828    EM
                                                    238.096   248.904
    10 -0.70515819D+04    0.0039683    0.0000006    359.223   153.777    EM
                                                    238.304   248.696
    11 -0.70515800D+04    0.0018943    0.0000003    359.259   153.741    EM
                                                    238.450   248.550
    12 -0.70515791D+04    0.0009070    0.0000001    359.285   153.715    EM
                                                    238.553   248.447
    13 -0.70515787D+04    0.0004353    0.0000001    359.304   153.696    EM
                                                    238.625   248.375
    14 -0.70515785D+04    0.0002094    0.0000000    359.317   153.683    EM
                                                    238.676   248.324
    15 -0.70515784D+04    0.0001007    0.0000000    359.326   153.674    EM
                                                    238.712   248.288
    16 -0.70515783D+04    0.0000485    0.0000000    359.333   153.667    EM
                                                    238.737   248.263
    17 -0.70515783D+04    0.0000234    0.0000000    359.337   153.663    EM
                                                    238.754   248.246
    18 -0.70515783D+04    0.0000113    0.0000000    359.341   153.659    EM
                                                    238.766   248.234
    19 -0.70515783D+04    0.0000054    0.0000000    359.343   153.657    EM
                                                    238.775   248.225
    20 -0.70515783D+04    0.0000026    0.0000000    359.344   153.656    EM
                                                    238.781   248.219
    21 -0.70515783D+04    0.0000013    0.0000000    359.345   153.655    EM
                                                    238.785   248.215
    22 -0.70515783D+04    0.0000006    0.0000000    359.346   153.654    EM
                                                    238.788   248.212
    23 -0.70515783D+04    0.0000003    0.0000000    359.347   153.653    EM
                                                    238.790   248.210
    24 -0.70515783D+04    0.0000001    0.0000000    359.347   153.653    EM
                                                    238.791   248.209
    25 -0.70515783D+04    0.0000001    0.0000000    359.347   153.653    EM
                                                    238.792   248.208
    26 -0.70515783D+04    0.0000000    0.0000000    359.348   153.652    EM
                                                    238.793   248.207
    27 -0.70515783D+04    0.0000000    0.0000000    359.348   153.652    EM
                                                    238.793   248.207
    28 -0.70515783D+04    0.0000000    0.0000000    359.348   153.652    EM
                                                    238.794   248.206


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:  22:04:08
        Ending Time:  22:04:08
       Elapsed Time:  00:00:00



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