Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022  10:24 PM

INPUT INSTRUCTIONS

  title:
  	this is an example of a GMM for a
  	categorical outcome using automatic
  	starting values and random starts

  montecarlo:
  	names are u1-u4 x;
  	generate = u1-u4(4);
  	categorical = u1-u4;
  	genclasses = c(2);
  	classes = c(2);
  	nobs = 1000;
  	seed = 3454367;
  	nrep = 1;
  	save = ex8.4.dat;

  analysis:
  	type = mixture;
  	algorithm = integration;

  model population:

  	%overall%

  	[x@0]; x@1;

  	i s | u1@0 u2@1 u3@2 u4@3;

  	[u1$1-u4$1*-.5] (1);
  	[u1$2-u4$2*0] (2);	
  	[u1$3-u4$3*.5] (3);
  	[u1$4-u4$4*1] (4);

  	i*1; s*.5;

  	c#1 on x*1;
  	i on x*.4;
  	s on x*.3;

  	%c#1%
  	[i*3 s*1];

  	%c#2%
  	[i@0 s*.5];


  model:
  	
  	%overall%

  	i s | u1@0 u2@1 u3@2 u4@3;

  	[u1$1-u4$1*-.5] (1);
  	[u1$2-u4$2*0] (2);	
  	[u1$3-u4$3*.5] (3);
  	[u1$4-u4$4*1] (4);

  	i*1; s*.5;

  	c#1 on x*1;
  	i on x*.4;
  	s on x*.3;

  	%c#1%
  	[i*3 s*1];

  	%c#2%
  	[i@0 s*.5];


  output:
  	tech8 tech9;



INPUT READING TERMINATED NORMALLY




this is an example of a GMM for a
categorical outcome using automatic
starting values and random starts

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                                    4
Number of independent variables                                  1
Number of continuous latent variables                            2
Number of categorical latent variables                           1

Observed dependent variables

  Binary and ordered categorical (ordinal)
   U1          U2          U3          U4

Observed independent variables
   X

Continuous latent variables
   I           S

Categorical latent variables
   C


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


SAMPLE STATISTICS FOR THE FIRST REPLICATION


     SAMPLE STATISTICS


           Means
              X
              ________
                0.003


           Covariances
              X
              ________
 X              1.015


           Correlations
              X
              ________
 X              1.000




MODEL FIT INFORMATION

Number of Free Parameters                       14

Loglikelihood

    H0 Value

        Mean                             -3463.892
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        -3463.892      -3463.892
           0.980       0.000        -3463.892      -3463.892
           0.950       0.000        -3463.892      -3463.892
           0.900       0.000        -3463.892      -3463.892
           0.800       0.000        -3463.892      -3463.892
           0.700       0.000        -3463.892      -3463.892
           0.500       0.000        -3463.892      -3463.892
           0.300       0.000        -3463.892      -3463.892
           0.200       0.000        -3463.892      -3463.892
           0.100       0.000        -3463.892      -3463.892
           0.050       0.000        -3463.892      -3463.892
           0.020       0.000        -3463.892      -3463.892
           0.010       0.000        -3463.892      -3463.892

Information Criteria

    Akaike (AIC)

        Mean                              6955.783
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         6955.783       6955.783
           0.980       0.000         6955.783       6955.783
           0.950       0.000         6955.783       6955.783
           0.900       0.000         6955.783       6955.783
           0.800       0.000         6955.783       6955.783
           0.700       0.000         6955.783       6955.783
           0.500       0.000         6955.783       6955.783
           0.300       0.000         6955.783       6955.783
           0.200       0.000         6955.783       6955.783
           0.100       0.000         6955.783       6955.783
           0.050       0.000         6955.783       6955.783
           0.020       0.000         6955.783       6955.783
           0.010       0.000         6955.783       6955.783

    Bayesian (BIC)

        Mean                              7024.492
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         7024.492       7024.492
           0.980       0.000         7024.492       7024.492
           0.950       0.000         7024.492       7024.492
           0.900       0.000         7024.492       7024.492
           0.800       0.000         7024.492       7024.492
           0.700       0.000         7024.492       7024.492
           0.500       0.000         7024.492       7024.492
           0.300       0.000         7024.492       7024.492
           0.200       0.000         7024.492       7024.492
           0.100       0.000         7024.492       7024.492
           0.050       0.000         7024.492       7024.492
           0.020       0.000         7024.492       7024.492
           0.010       0.000         7024.492       7024.492

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

        Mean                              6980.027
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         6980.027       6980.027
           0.980       0.000         6980.027       6980.027
           0.950       0.000         6980.027       6980.027
           0.900       0.000         6980.027       6980.027
           0.800       0.000         6980.027       6980.027
           0.700       0.000         6980.027       6980.027
           0.500       0.000         6980.027       6980.027
           0.300       0.000         6980.027       6980.027
           0.200       0.000         6980.027       6980.027
           0.100       0.000         6980.027       6980.027
           0.050       0.000         6980.027       6980.027
           0.020       0.000         6980.027       6980.027
           0.010       0.000         6980.027       6980.027



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

    Latent
   Classes

       1        502.70047          0.50270
       2        497.29953          0.49730


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

    Latent
   Classes

       1        502.70047          0.50270
       2        497.29953          0.49730


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

Class Counts and Proportions

    Latent
   Classes

       1              519          0.51900
       2              481          0.48100


CLASSIFICATION QUALITY

     Entropy                         0.593


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

           1        2

    1   0.872    0.128
    2   0.104    0.896


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

           1        2

    1   0.901    0.099
    2   0.133    0.867


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

              1        2

    1      2.206    0.000
    2     -1.874    0.000


MODEL RESULTS

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

Latent Class 1

 I        |
  U1                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U2                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U3                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U4                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

 S        |
  U1                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U2                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U3                  2.000     2.0000     0.0000     0.0000     0.0000 1.000 0.000
  U4                  3.000     3.0000     0.0000     0.0000     0.0000 1.000 0.000

 I          ON
  X                   0.400     0.1276     0.0000     0.1656     0.0742 1.000 0.000

 S          ON
  X                   0.300     0.4244     0.0000     0.0835     0.0155 1.000 1.000

 S        WITH
  I                   0.000     0.2608     0.0000     0.1216     0.0680 0.000 1.000

 Intercepts
  I                   3.000     3.0454     0.0000     0.2960     0.0021 1.000 1.000
  S                   1.000     0.9845     0.0000     0.1793     0.0002 1.000 1.000

 Thresholds
  U1$1               -0.500    -0.4181     0.0000     0.1731     0.0067 1.000 1.000
  U1$2                0.000     0.0942     0.0000     0.1718     0.0089 1.000 0.000
  U1$3                0.500     0.5259     0.0000     0.1733     0.0007 1.000 1.000
  U1$4                1.000     1.0799     0.0000     0.1785     0.0064 1.000 1.000
  U2$1               -0.500    -0.4181     0.0000     0.1731     0.0067 1.000 1.000
  U2$2                0.000     0.0942     0.0000     0.1718     0.0089 1.000 0.000
  U2$3                0.500     0.5259     0.0000     0.1733     0.0007 1.000 1.000
  U2$4                1.000     1.0799     0.0000     0.1785     0.0064 1.000 1.000
  U3$1               -0.500    -0.4181     0.0000     0.1731     0.0067 1.000 1.000
  U3$2                0.000     0.0942     0.0000     0.1718     0.0089 1.000 0.000
  U3$3                0.500     0.5259     0.0000     0.1733     0.0007 1.000 1.000
  U3$4                1.000     1.0799     0.0000     0.1785     0.0064 1.000 1.000
  U4$1               -0.500    -0.4181     0.0000     0.1731     0.0067 1.000 1.000
  U4$2                0.000     0.0942     0.0000     0.1718     0.0089 1.000 0.000
  U4$3                0.500     0.5259     0.0000     0.1733     0.0007 1.000 1.000
  U4$4                1.000     1.0799     0.0000     0.1785     0.0064 1.000 1.000

 Residual Variances
  I                   1.000     0.2417     0.0000     0.3223     0.5749 0.000 0.000
  S                   0.500     0.4309     0.0000     0.1231     0.0048 1.000 1.000

Latent Class 2

 I        |
  U1                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U2                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U3                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U4                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

 S        |
  U1                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U2                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U3                  2.000     2.0000     0.0000     0.0000     0.0000 1.000 0.000
  U4                  3.000     3.0000     0.0000     0.0000     0.0000 1.000 0.000

 I          ON
  X                   0.400     0.1276     0.0000     0.1656     0.0742 1.000 0.000

 S          ON
  X                   0.300     0.4244     0.0000     0.0835     0.0155 1.000 1.000

 S        WITH
  I                   0.000     0.2608     0.0000     0.1216     0.0680 0.000 1.000

 Intercepts
  I                   0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  S                   0.500     0.5028     0.0000     0.0987     0.0000 1.000 1.000

 Thresholds
  U1$1               -0.500    -0.4181     0.0000     0.1731     0.0067 1.000 1.000
  U1$2                0.000     0.0942     0.0000     0.1718     0.0089 1.000 0.000
  U1$3                0.500     0.5259     0.0000     0.1733     0.0007 1.000 1.000
  U1$4                1.000     1.0799     0.0000     0.1785     0.0064 1.000 1.000
  U2$1               -0.500    -0.4181     0.0000     0.1731     0.0067 1.000 1.000
  U2$2                0.000     0.0942     0.0000     0.1718     0.0089 1.000 0.000
  U2$3                0.500     0.5259     0.0000     0.1733     0.0007 1.000 1.000
  U2$4                1.000     1.0799     0.0000     0.1785     0.0064 1.000 1.000
  U3$1               -0.500    -0.4181     0.0000     0.1731     0.0067 1.000 1.000
  U3$2                0.000     0.0942     0.0000     0.1718     0.0089 1.000 0.000
  U3$3                0.500     0.5259     0.0000     0.1733     0.0007 1.000 1.000
  U3$4                1.000     1.0799     0.0000     0.1785     0.0064 1.000 1.000
  U4$1               -0.500    -0.4181     0.0000     0.1731     0.0067 1.000 1.000
  U4$2                0.000     0.0942     0.0000     0.1718     0.0089 1.000 0.000
  U4$3                0.500     0.5259     0.0000     0.1733     0.0007 1.000 1.000
  U4$4                1.000     1.0799     0.0000     0.1785     0.0064 1.000 1.000

 Residual Variances
  I                   1.000     0.2417     0.0000     0.3223     0.5749 0.000 0.000
  S                   0.500     0.4309     0.0000     0.1231     0.0048 1.000 1.000

Categorical Latent Variables

 C#1        ON
  X                   1.000     1.2103     0.0000     0.3032     0.0442 1.000 1.000

 Intercepts
  C#1                 0.000     0.0076     0.0000     0.2072     0.0001 1.000 0.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.241E-03
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR LATENT CLASS 1


           NU
              U1            U2            U3            U4            X
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           LAMBDA
              I             S             X
              ________      ________      ________
 U1                 0             0             0
 U2                 0             0             0
 U3                 0             0             0
 U4                 0             0             0
 X                  0             0             0


           THETA
              U1            U2            U3            U4            X
              ________      ________      ________      ________      ________
 U1                 0
 U2                 0             0
 U3                 0             0             0
 U4                 0             0             0             0
 X                  0             0             0             0             0


           ALPHA
              I             S             X
              ________      ________      ________
                    1             2             0


           BETA
              I             S             X
              ________      ________      ________
 I                  0             0             3
 S                  0             0             4
 X                  0             0             0


           PSI
              I             S             X
              ________      ________      ________
 I                  5
 S                  6             7
 X                  0             0             0


     PARAMETER SPECIFICATION FOR LATENT CLASS 2


           NU
              U1            U2            U3            U4            X
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           LAMBDA
              I             S             X
              ________      ________      ________
 U1                 0             0             0
 U2                 0             0             0
 U3                 0             0             0
 U4                 0             0             0
 X                  0             0             0


           THETA
              U1            U2            U3            U4            X
              ________      ________      ________      ________      ________
 U1                 0
 U2                 0             0
 U3                 0             0             0
 U4                 0             0             0             0
 X                  0             0             0             0             0


           ALPHA
              I             S             X
              ________      ________      ________
                    0             8             0


           BETA
              I             S             X
              ________      ________      ________
 I                  0             0             3
 S                  0             0             4
 X                  0             0             0


           PSI
              I             S             X
              ________      ________      ________
 I                  5
 S                  6             7
 X                  0             0             0


     PARAMETER SPECIFICATION FOR LATENT CLASS INDICATOR MODEL PART


           TAU(U) FOR LATENT CLASS 1
              U1$1          U1$2          U1$3          U1$4          U2$1
              ________      ________      ________      ________      ________
                    9            10            11            12             9


           TAU(U) FOR LATENT CLASS 1
              U2$2          U2$3          U2$4          U3$1          U3$2
              ________      ________      ________      ________      ________
                   10            11            12             9            10


           TAU(U) FOR LATENT CLASS 1
              U3$3          U3$4          U4$1          U4$2          U4$3
              ________      ________      ________      ________      ________
                   11            12             9            10            11


           TAU(U) FOR LATENT CLASS 1
              U4$4
              ________
                   12


           TAU(U) FOR LATENT CLASS 2
              U1$1          U1$2          U1$3          U1$4          U2$1
              ________      ________      ________      ________      ________
                    9            10            11            12             9


           TAU(U) FOR LATENT CLASS 2
              U2$2          U2$3          U2$4          U3$1          U3$2
              ________      ________      ________      ________      ________
                   10            11            12             9            10


           TAU(U) FOR LATENT CLASS 2
              U3$3          U3$4          U4$1          U4$2          U4$3
              ________      ________      ________      ________      ________
                   11            12             9            10            11


           TAU(U) FOR LATENT CLASS 2
              U4$4
              ________
                   12


     PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              C#1           C#2
              ________      ________
                   13             0


           GAMMA(C)
              I             S             X
              ________      ________      ________
 C#1                0             0            14
 C#2                0             0             0


     STARTING VALUES FOR LATENT CLASS 1


           NU
              U1            U2            U3            U4            X
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           LAMBDA
              I             S             X
              ________      ________      ________
 U1             1.000         0.000         0.000
 U2             1.000         1.000         0.000
 U3             1.000         2.000         0.000
 U4             1.000         3.000         0.000
 X              0.000         0.000         1.000


           THETA
              U1            U2            U3            U4            X
              ________      ________      ________      ________      ________
 U1             1.000
 U2             0.000         1.000
 U3             0.000         0.000         1.000
 U4             0.000         0.000         0.000         1.000
 X              0.000         0.000         0.000         0.000         0.000


           ALPHA
              I             S             X
              ________      ________      ________
                3.000         1.000         0.000


           BETA
              I             S             X
              ________      ________      ________
 I              0.000         0.000         0.400
 S              0.000         0.000         0.300
 X              0.000         0.000         0.000


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


     STARTING VALUES FOR LATENT CLASS 2


           NU
              U1            U2            U3            U4            X
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           LAMBDA
              I             S             X
              ________      ________      ________
 U1             1.000         0.000         0.000
 U2             1.000         1.000         0.000
 U3             1.000         2.000         0.000
 U4             1.000         3.000         0.000
 X              0.000         0.000         1.000


           THETA
              U1            U2            U3            U4            X
              ________      ________      ________      ________      ________
 U1             1.000
 U2             0.000         1.000
 U3             0.000         0.000         1.000
 U4             0.000         0.000         0.000         1.000
 X              0.000         0.000         0.000         0.000         0.000


           ALPHA
              I             S             X
              ________      ________      ________
                0.000         0.500         0.000


           BETA
              I             S             X
              ________      ________      ________
 I              0.000         0.000         0.400
 S              0.000         0.000         0.300
 X              0.000         0.000         0.000


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


     STARTING VALUES FOR LATENT CLASS INDICATOR MODEL PART


           TAU(U) FOR LATENT CLASS 1
              U1$1          U1$2          U1$3          U1$4          U2$1
              ________      ________      ________      ________      ________
               -0.500         0.000         0.500         1.000        -0.500


           TAU(U) FOR LATENT CLASS 1
              U2$2          U2$3          U2$4          U3$1          U3$2
              ________      ________      ________      ________      ________
                0.000         0.500         1.000        -0.500         0.000


           TAU(U) FOR LATENT CLASS 1
              U3$3          U3$4          U4$1          U4$2          U4$3
              ________      ________      ________      ________      ________
                0.500         1.000        -0.500         0.000         0.500


           TAU(U) FOR LATENT CLASS 1
              U4$4
              ________
                1.000


           TAU(U) FOR LATENT CLASS 2
              U1$1          U1$2          U1$3          U1$4          U2$1
              ________      ________      ________      ________      ________
               -0.500         0.000         0.500         1.000        -0.500


           TAU(U) FOR LATENT CLASS 2
              U2$2          U2$3          U2$4          U3$1          U3$2
              ________      ________      ________      ________      ________
                0.000         0.500         1.000        -0.500         0.000


           TAU(U) FOR LATENT CLASS 2
              U3$3          U3$4          U4$1          U4$2          U4$3
              ________      ________      ________      ________      ________
                0.500         1.000        -0.500         0.000         0.500


           TAU(U) FOR LATENT CLASS 2
              U4$4
              ________
                1.000


     STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART


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


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


     POPULATION VALUES FOR LATENT CLASS 1


           NU
              U1            U2            U3            U4            X
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           LAMBDA
              I             S             X
              ________      ________      ________
 U1             1.000         0.000         0.000
 U2             1.000         1.000         0.000
 U3             1.000         2.000         0.000
 U4             1.000         3.000         0.000
 X              0.000         0.000         1.000


           THETA
              U1            U2            U3            U4            X
              ________      ________      ________      ________      ________
 U1             0.000
 U2             0.000         0.000
 U3             0.000         0.000         0.000
 U4             0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000


           ALPHA
              I             S             X
              ________      ________      ________
                3.000         1.000         0.000


           BETA
              I             S             X
              ________      ________      ________
 I              0.000         0.000         0.400
 S              0.000         0.000         0.300
 X              0.000         0.000         0.000


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


     POPULATION VALUES FOR LATENT CLASS 2


           NU
              U1            U2            U3            U4            X
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           LAMBDA
              I             S             X
              ________      ________      ________
 U1             1.000         0.000         0.000
 U2             1.000         1.000         0.000
 U3             1.000         2.000         0.000
 U4             1.000         3.000         0.000
 X              0.000         0.000         1.000


           THETA
              U1            U2            U3            U4            X
              ________      ________      ________      ________      ________
 U1             0.000
 U2             0.000         0.000
 U3             0.000         0.000         0.000
 U4             0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000


           ALPHA
              I             S             X
              ________      ________      ________
                0.000         0.500         0.000


           BETA
              I             S             X
              ________      ________      ________
 I              0.000         0.000         0.400
 S              0.000         0.000         0.300
 X              0.000         0.000         0.000


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


     POPULATION VALUES FOR LATENT CLASS INDICATOR MODEL PART


           TAU(U) FOR LATENT CLASS 1
              U1$1          U1$2          U1$3          U1$4          U2$1
              ________      ________      ________      ________      ________
               -0.500         0.000         0.500         1.000        -0.500


           TAU(U) FOR LATENT CLASS 1
              U2$2          U2$3          U2$4          U3$1          U3$2
              ________      ________      ________      ________      ________
                0.000         0.500         1.000        -0.500         0.000


           TAU(U) FOR LATENT CLASS 1
              U3$3          U3$4          U4$1          U4$2          U4$3
              ________      ________      ________      ________      ________
                0.500         1.000        -0.500         0.000         0.500


           TAU(U) FOR LATENT CLASS 1
              U4$4
              ________
                1.000


           TAU(U) FOR LATENT CLASS 2
              U1$1          U1$2          U1$3          U1$4          U2$1
              ________      ________      ________      ________      ________
               -0.500         0.000         0.500         1.000        -0.500


           TAU(U) FOR LATENT CLASS 2
              U2$2          U2$3          U2$4          U3$1          U3$2
              ________      ________      ________      ________      ________
                0.000         0.500         1.000        -0.500         0.000


           TAU(U) FOR LATENT CLASS 2
              U3$3          U3$4          U4$1          U4$2          U4$3
              ________      ________      ________      ________      ________
                0.500         1.000        -0.500         0.000         0.500


           TAU(U) FOR LATENT CLASS 2
              U4$4
              ________
                1.000


     POPULATION VALUES FOR LATENT CLASS REGRESSION MODEL PART


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


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


TECHNICAL 8 OUTPUT


  TECHNICAL 8 OUTPUT FOR REPLICATION 1


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.34733695D+04    0.0000000    0.0000000  EM
              2 -0.34648739D+04    8.4956180    0.0024459  FS
              3 -0.34641196D+04    0.7542556    0.0002177  FS
              4 -0.34638995D+04    0.2201640    0.0000636  FS
              5 -0.34638954D+04    0.0041095    0.0000012  FS
              6 -0.34638922D+04    0.0031690    0.0000009  FS
              7 -0.34638917D+04    0.0004716    0.0000001  FS


TECHNICAL 9 OUTPUT

  Error messages for each replication (if any)



SAVEDATA INFORMATION

  Order of variables

    U1
    U2
    U3
    U4
    X
    C

  Save file
    ex8.4.dat

  Save file format           Free
  Save file record length    10000


     Beginning Time:  22:24:56
        Ending Time:  22:24:57
       Elapsed Time:  00:00:01



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