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

INPUT INSTRUCTIONS

  title:	this is an example of a hidden Markov
  	model with four time points

  montecarlo:
  	names are u1-u4;
  	generate = u1-u4(1);
  	categorical = u1-u4;
  	genclasses = c1(2) c2(2) c3(2) c4(2);
  	classes = c1(2) c2(2) c3(2) c4(2);
  	nobs = 5000;
  	seed = 3454367;
  	nrep = 1;
  	save = ex8.12.dat;

  analysis:
  	type = mixture;

  model population:

  	%overall%

  	[c2#1-c4#1*0] (4);
  	
  	c4#1 on c3#1*2 (3);	
  	c3#1 on c2#1*2 (3);
  	c2#1 on c1#1*2 (3);

  model population-c1:
  	%c1#1%
  	[u1$1*1] (1);
  	%c1#2%
  	[u1$1*-1] (2);

  model population-c2:
  	%c2#1%
  	[u2$1*1] (1);
  	%c2#2%
  	[u2$1*-1] (2);

  model population-c3:
  	%c3#1%
  	[u3$1*1] (1);
  	%c3#2%
  	[u3$1*-1] (2);

  model population-c4:
  	%c4#1%
  	[u4$1*1] (1);
  	%c4#2%
  	[u4$1*-1] (2);


  model:

  	%overall%
  	
  	[c2#1-c4#1*0] (4);
  	
  	c4#1 on c3#1*2 (3);	
  	c3#1 on c2#1*2 (3);
  	c2#1 on c1#1*2 (3);

  model c1:
  	%c1#1%
  	[u1$1*1] (1);
  	%c1#2%
  	[u1$1*-1] (2);

  model c2:
  	%c2#1%
  	[u2$1*1] (1);
  	%c2#2%
  	[u2$1*-1] (2);

  model c3:
  	%c3#1%
  	[u3$1*1] (1);
  	%c3#2%
  	[u3$1*-1] (2);

  model c4:
  	%c4#1%
  	[u4$1*1] (1);
  	%c4#2%
  	[u4$1*-1] (2);


  output:
  	tech8 tech9;	



INPUT READING TERMINATED NORMALLY



this is an example of a hidden Markov
model with four time points

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                        5000

Number of replications
    Requested                                                    1
    Completed                                                    1
Value of seed                                              3454367

Number of dependent variables                                    4
Number of independent variables                                  0
Number of continuous latent variables                            0
Number of categorical latent variables                           4

Observed dependent variables

  Binary and ordered categorical (ordinal)
   U1          U2          U3          U4

Categorical latent variables
   C1          C2          C3          C4


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-03
    Relative loglikelihood change                        0.100D-05
    Derivative                                           0.100D-03
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-03
  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-03
  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





MODEL FIT INFORMATION

Number of Free Parameters                        5

Loglikelihood

    H0 Value

        Mean                            -13427.811
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000       -13427.811     -13427.811
           0.980       0.000       -13427.811     -13427.811
           0.950       0.000       -13427.811     -13427.811
           0.900       0.000       -13427.811     -13427.811
           0.800       0.000       -13427.811     -13427.811
           0.700       0.000       -13427.811     -13427.811
           0.500       0.000       -13427.811     -13427.811
           0.300       0.000       -13427.811     -13427.811
           0.200       0.000       -13427.811     -13427.811
           0.100       0.000       -13427.811     -13427.811
           0.050       0.000       -13427.811     -13427.811
           0.020       0.000       -13427.811     -13427.811
           0.010       0.000       -13427.811     -13427.811

Information Criteria

    Akaike (AIC)

        Mean                             26865.623
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        26865.623      26865.623
           0.980       0.000        26865.623      26865.623
           0.950       0.000        26865.623      26865.623
           0.900       0.000        26865.623      26865.623
           0.800       0.000        26865.623      26865.623
           0.700       0.000        26865.623      26865.623
           0.500       0.000        26865.623      26865.623
           0.300       0.000        26865.623      26865.623
           0.200       0.000        26865.623      26865.623
           0.100       0.000        26865.623      26865.623
           0.050       0.000        26865.623      26865.623
           0.020       0.000        26865.623      26865.623
           0.010       0.000        26865.623      26865.623

    Bayesian (BIC)

        Mean                             26898.209
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        26898.209      26898.209
           0.980       0.000        26898.209      26898.209
           0.950       0.000        26898.209      26898.209
           0.900       0.000        26898.209      26898.209
           0.800       0.000        26898.209      26898.209
           0.700       0.000        26898.209      26898.209
           0.500       0.000        26898.209      26898.209
           0.300       0.000        26898.209      26898.209
           0.200       0.000        26898.209      26898.209
           0.100       0.000        26898.209      26898.209
           0.050       0.000        26898.209      26898.209
           0.020       0.000        26898.209      26898.209
           0.010       0.000        26898.209      26898.209

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

        Mean                             26882.320
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        26882.320      26882.320
           0.980       0.000        26882.320      26882.320
           0.950       0.000        26882.320      26882.320
           0.900       0.000        26882.320      26882.320
           0.800       0.000        26882.320      26882.320
           0.700       0.000        26882.320      26882.320
           0.500       0.000        26882.320      26882.320
           0.300       0.000        26882.320      26882.320
           0.200       0.000        26882.320      26882.320
           0.100       0.000        26882.320      26882.320
           0.050       0.000        26882.320      26882.320
           0.020       0.000        26882.320      26882.320
           0.010       0.000        26882.320      26882.320

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

    Pearson Chi-Square

        Mean                                10.297
        Std Dev                              0.000
        Degrees of freedom                      10
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       1.000            2.558         10.297
           0.980       1.000            3.059         10.297
           0.950       1.000            3.940         10.297
           0.900       1.000            4.865         10.297
           0.800       1.000            6.179         10.297
           0.700       1.000            7.267         10.297
           0.500       1.000            9.342         10.297
           0.300       0.000           11.781         10.297
           0.200       0.000           13.442         10.297
           0.100       0.000           15.987         10.297
           0.050       0.000           18.307         10.297
           0.020       0.000           21.161         10.297
           0.010       0.000           23.209         10.297

    Likelihood Ratio Chi-Square

        Mean                                10.240
        Std Dev                              0.000
        Degrees of freedom                      10
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       1.000            2.558         10.240
           0.980       1.000            3.059         10.240
           0.950       1.000            3.940         10.240
           0.900       1.000            4.865         10.240
           0.800       1.000            6.179         10.240
           0.700       1.000            7.267         10.240
           0.500       1.000            9.342         10.240
           0.300       0.000           11.781         10.240
           0.200       0.000           13.442         10.240
           0.100       0.000           15.987         10.240
           0.050       0.000           18.307         10.240
           0.020       0.000           21.161         10.240
           0.010       0.000           23.209         10.240



MODEL RESULTS USE THE LATENT CLASS VARIABLE ORDER

   C1  C2  C3  C4


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

  Latent Class
    Pattern

    1  1  1  1       1761.53918          0.35231
    1  1  1  2        180.91687          0.03618
    1  1  2  1         95.11212          0.01902
    1  1  2  2        104.38560          0.02088
    1  2  1  1         95.11212          0.01902
    1  2  1  2          9.76838          0.00195
    1  2  2  1         54.87789          0.01098
    1  2  2  2         60.22852          0.01205
    2  1  1  1       1034.34326          0.20687
    2  1  1  2        106.23104          0.02125
    2  1  2  1         55.84808          0.01117
    2  1  2  2         61.29330          0.01226
    2  2  1  1        596.79647          0.11936
    2  2  1  2         61.29330          0.01226
    2  2  2  1        344.34026          0.06887
    2  2  2  2        377.91362          0.07558


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

  Latent Class
    Variable    Class

    C1             1      2361.94043          0.47239
                   2      2638.05933          0.52761
    C2             1      3399.66919          0.67993
                   2      1600.33044          0.32007
    C3             1      3846.00024          0.76920
                   2      1153.99939          0.23080
    C4             1      4037.96924          0.80759
                   2       962.03058          0.19241


LATENT TRANSITION PROBABILITIES BASED ON THE ESTIMATED MODEL

  C1 Classes (Rows) by C2 Classes (Columns)

            1        2

   1     0.907    0.093
   2     0.477    0.523

  C2 Classes (Rows) by C3 Classes (Columns)

            1        2

   1     0.907    0.093
   2     0.477    0.523

  C3 Classes (Rows) by C4 Classes (Columns)

            1        2

   1     0.907    0.093
   2     0.477    0.523


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

  Latent Class
    Pattern

    1  1  1  1       1763.19932          0.35264
    1  1  1  2        179.54575          0.03591
    1  1  2  1         96.17338          0.01923
    1  1  2  2        103.59851          0.02072
    1  2  1  1         94.41003          0.01888
    1  2  1  2          9.69407          0.00194
    1  2  2  1         55.32552          0.01107
    1  2  2  2         59.99624          0.01200
    2  1  1  1       1037.80057          0.20756
    2  1  1  2        107.86984          0.02157
    2  1  2  1         55.79403          0.01116
    2  1  2  2         62.09520          0.01242
    2  2  1  1        590.41248          0.11808
    2  2  1  2         61.04690          0.01221
    2  2  2  1        342.35210          0.06847
    2  2  2  2        380.68605          0.07614


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

  Latent Class
    Variable    Class

    C1             1      2361.94287          0.47239
                   2      2638.05713          0.52761
    C2             1      3406.07666          0.68122
                   2      1593.92334          0.31878
    C3             1      3843.97925          0.76880
                   2      1156.02112          0.23120
    C4             1      4035.46753          0.80709
                   2       964.53253          0.19291


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  1  1             2301          0.46020
    1  1  1  2                0          0.00000
    1  1  2  1                0          0.00000
    1  1  2  2                0          0.00000
    1  2  1  1                0          0.00000
    1  2  1  2                0          0.00000
    1  2  2  1                0          0.00000
    1  2  2  2                0          0.00000
    2  1  1  1             1404          0.28080
    2  1  1  2                0          0.00000
    2  1  2  1                0          0.00000
    2  1  2  2                0          0.00000
    2  2  1  1              633          0.12660
    2  2  1  2                0          0.00000
    2  2  2  1              279          0.05580
    2  2  2  2              383          0.07660


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

  Latent Class
    Variable    Class

    C1             1            2301          0.46020
                   2            2699          0.53980
    C2             1            3705          0.74100
                   2            1295          0.25900
    C3             1            4338          0.86760
                   2             662          0.13240
    C4             1            4617          0.92340
                   2             383          0.07660


CLASSIFICATION QUALITY

     Entropy                         0.374


MODEL RESULTS

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

Parameters for Class-specific Model Parts of C1

Latent Class C1#1

 Thresholds
  U1$1                1.000     0.9335     0.0000     0.1535     0.0044 1.000 1.000

Latent Class C1#2

 Thresholds
  U1$1               -1.000    -0.9039     0.0000     0.2693     0.0092 1.000 1.000

Parameters for Class-specific Model Parts of C2

Latent Class C2#1

 Thresholds
  U2$1                1.000     0.9335     0.0000     0.1535     0.0044 1.000 1.000

Latent Class C2#2

 Thresholds
  U2$1               -1.000    -0.9039     0.0000     0.2693     0.0092 1.000 1.000

Parameters for Class-specific Model Parts of C3

Latent Class C3#1

 Thresholds
  U3$1                1.000     0.9335     0.0000     0.1535     0.0044 1.000 1.000

Latent Class C3#2

 Thresholds
  U3$1               -1.000    -0.9039     0.0000     0.2693     0.0092 1.000 1.000

Parameters for Class-specific Model Parts of C4

Latent Class C4#1

 Thresholds
  U4$1                1.000     0.9335     0.0000     0.1535     0.0044 1.000 1.000

Latent Class C4#2

 Thresholds
  U4$1               -1.000    -0.9039     0.0000     0.2693     0.0092 1.000 1.000

Categorical Latent Variables

 C4#1     ON
  C3#1                2.000     2.3689     0.0000     0.6528     0.1361 1.000 1.000

 C3#1     ON
  C2#1                2.000     2.3689     0.0000     0.6528     0.1361 1.000 1.000

 C2#1     ON
  C1#1                2.000     2.3689     0.0000     0.6528     0.1361 1.000 1.000

 Means
  C1#1                0.000    -0.1106     0.0000     0.3600     0.0122 1.000 0.000
  C2#1                0.000    -0.0930     0.0000     0.2297     0.0087 1.000 0.000
  C3#1                0.000    -0.0930     0.0000     0.2297     0.0087 1.000 0.000
  C4#1                0.000    -0.0930     0.0000     0.2297     0.0087 1.000 0.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.115E-02
       (ratio of smallest to largest eigenvalue)


C-SPECIFIC CLASSIFICATION RESULTS

Classification Quality for C1

     Entropy                         0.163

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

           1        2

    1   0.703    0.297
    2   0.276    0.724

Classification Quality for C2

     Entropy                         0.262

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

           1        2

    1   0.791    0.209
    2   0.366    0.634

Classification Quality for C3

     Entropy                         0.362

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

           1        2

    1   0.825    0.175
    2   0.401    0.599

Classification Quality for C4

     Entropy                         0.402

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

           1        2

    1   0.837    0.163
    2   0.445    0.555


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 1 1 1 1


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 1 1 1 2


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 1 1 2 1


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 1 1 2 2


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 1 2 1 1


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 1 2 1 2


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 1 2 2 1


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 1 2 2 2


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 2 1 1 1


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 2 1 1 2


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 2 1 2 1


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 2 1 2 2


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 2 2 1 1


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 2 2 1 2


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 2 2 2 1


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 2 2 2 2


     PARAMETER SPECIFICATION FOR LATENT CLASS INDICATOR MODEL PART


           TAU(U) FOR LATENT CLASS PATTERN 1 1 1 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                    1             1             1             1


           TAU(U) FOR LATENT CLASS PATTERN 1 1 1 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                    1             1             1             2


           TAU(U) FOR LATENT CLASS PATTERN 1 1 2 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                    1             1             2             1


           TAU(U) FOR LATENT CLASS PATTERN 1 1 2 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                    1             1             2             2


           TAU(U) FOR LATENT CLASS PATTERN 1 2 1 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                    1             2             1             1


           TAU(U) FOR LATENT CLASS PATTERN 1 2 1 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                    1             2             1             2


           TAU(U) FOR LATENT CLASS PATTERN 1 2 2 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                    1             2             2             1


           TAU(U) FOR LATENT CLASS PATTERN 1 2 2 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                    1             2             2             2


           TAU(U) FOR LATENT CLASS PATTERN 2 1 1 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                    2             1             1             1


           TAU(U) FOR LATENT CLASS PATTERN 2 1 1 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                    2             1             1             2


           TAU(U) FOR LATENT CLASS PATTERN 2 1 2 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                    2             1             2             1


           TAU(U) FOR LATENT CLASS PATTERN 2 1 2 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                    2             1             2             2


           TAU(U) FOR LATENT CLASS PATTERN 2 2 1 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                    2             2             1             1


           TAU(U) FOR LATENT CLASS PATTERN 2 2 1 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                    2             2             1             2


           TAU(U) FOR LATENT CLASS PATTERN 2 2 2 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                    2             2             2             1


           TAU(U) FOR LATENT CLASS PATTERN 2 2 2 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                    2             2             2             2


     PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              C1#1          C1#2          C2#1          C2#2          C3#1
              ________      ________      ________      ________      ________
                    3             0             4             0             4


           ALPHA(C)
              C3#2          C4#1          C4#2
              ________      ________      ________
                    0             4             0


           BETA(C)
              C3#1          C3#2
              ________      ________
 C4#1               5             0
 C4#2               0             0


           BETA(C)
              C2#1          C2#2
              ________      ________
 C3#1               5             0
 C3#2               0             0


           BETA(C)
              C1#1          C1#2
              ________      ________
 C2#1               5             0
 C2#2               0             0


     STARTING VALUES FOR LATENT CLASS PATTERN 1 1 1 1


     STARTING VALUES FOR LATENT CLASS PATTERN 1 1 1 2


     STARTING VALUES FOR LATENT CLASS PATTERN 1 1 2 1


     STARTING VALUES FOR LATENT CLASS PATTERN 1 1 2 2


     STARTING VALUES FOR LATENT CLASS PATTERN 1 2 1 1


     STARTING VALUES FOR LATENT CLASS PATTERN 1 2 1 2


     STARTING VALUES FOR LATENT CLASS PATTERN 1 2 2 1


     STARTING VALUES FOR LATENT CLASS PATTERN 1 2 2 2


     STARTING VALUES FOR LATENT CLASS PATTERN 2 1 1 1


     STARTING VALUES FOR LATENT CLASS PATTERN 2 1 1 2


     STARTING VALUES FOR LATENT CLASS PATTERN 2 1 2 1


     STARTING VALUES FOR LATENT CLASS PATTERN 2 1 2 2


     STARTING VALUES FOR LATENT CLASS PATTERN 2 2 1 1


     STARTING VALUES FOR LATENT CLASS PATTERN 2 2 1 2


     STARTING VALUES FOR LATENT CLASS PATTERN 2 2 2 1


     STARTING VALUES FOR LATENT CLASS PATTERN 2 2 2 2


     STARTING VALUES FOR LATENT CLASS INDICATOR MODEL PART


           TAU(U) FOR LATENT CLASS PATTERN 1 1 1 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                1.000         1.000         1.000         1.000


           TAU(U) FOR LATENT CLASS PATTERN 1 1 1 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                1.000         1.000         1.000        -1.000


           TAU(U) FOR LATENT CLASS PATTERN 1 1 2 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                1.000         1.000        -1.000         1.000


           TAU(U) FOR LATENT CLASS PATTERN 1 1 2 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                1.000         1.000        -1.000        -1.000


           TAU(U) FOR LATENT CLASS PATTERN 1 2 1 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                1.000        -1.000         1.000         1.000


           TAU(U) FOR LATENT CLASS PATTERN 1 2 1 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                1.000        -1.000         1.000        -1.000


           TAU(U) FOR LATENT CLASS PATTERN 1 2 2 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                1.000        -1.000        -1.000         1.000


           TAU(U) FOR LATENT CLASS PATTERN 1 2 2 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                1.000        -1.000        -1.000        -1.000


           TAU(U) FOR LATENT CLASS PATTERN 2 1 1 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
               -1.000         1.000         1.000         1.000


           TAU(U) FOR LATENT CLASS PATTERN 2 1 1 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
               -1.000         1.000         1.000        -1.000


           TAU(U) FOR LATENT CLASS PATTERN 2 1 2 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
               -1.000         1.000        -1.000         1.000


           TAU(U) FOR LATENT CLASS PATTERN 2 1 2 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
               -1.000         1.000        -1.000        -1.000


           TAU(U) FOR LATENT CLASS PATTERN 2 2 1 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
               -1.000        -1.000         1.000         1.000


           TAU(U) FOR LATENT CLASS PATTERN 2 2 1 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
               -1.000        -1.000         1.000        -1.000


           TAU(U) FOR LATENT CLASS PATTERN 2 2 2 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
               -1.000        -1.000        -1.000         1.000


           TAU(U) FOR LATENT CLASS PATTERN 2 2 2 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
               -1.000        -1.000        -1.000        -1.000


     STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              C1#1          C1#2          C2#1          C2#2          C3#1
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           ALPHA(C)
              C3#2          C4#1          C4#2
              ________      ________      ________
                0.000         0.000         0.000


           BETA(C)
              C3#1          C3#2
              ________      ________
 C4#1           2.000         0.000
 C4#2           0.000         0.000


           BETA(C)
              C2#1          C2#2
              ________      ________
 C3#1           2.000         0.000
 C3#2           0.000         0.000


           BETA(C)
              C1#1          C1#2
              ________      ________
 C2#1           2.000         0.000
 C2#2           0.000         0.000


     POPULATION VALUES FOR LATENT CLASS PATTERN 1 1 1 1


     POPULATION VALUES FOR LATENT CLASS PATTERN 1 1 1 2


     POPULATION VALUES FOR LATENT CLASS PATTERN 1 1 2 1


     POPULATION VALUES FOR LATENT CLASS PATTERN 1 1 2 2


     POPULATION VALUES FOR LATENT CLASS PATTERN 1 2 1 1


     POPULATION VALUES FOR LATENT CLASS PATTERN 1 2 1 2


     POPULATION VALUES FOR LATENT CLASS PATTERN 1 2 2 1


     POPULATION VALUES FOR LATENT CLASS PATTERN 1 2 2 2


     POPULATION VALUES FOR LATENT CLASS PATTERN 2 1 1 1


     POPULATION VALUES FOR LATENT CLASS PATTERN 2 1 1 2


     POPULATION VALUES FOR LATENT CLASS PATTERN 2 1 2 1


     POPULATION VALUES FOR LATENT CLASS PATTERN 2 1 2 2


     POPULATION VALUES FOR LATENT CLASS PATTERN 2 2 1 1


     POPULATION VALUES FOR LATENT CLASS PATTERN 2 2 1 2


     POPULATION VALUES FOR LATENT CLASS PATTERN 2 2 2 1


     POPULATION VALUES FOR LATENT CLASS PATTERN 2 2 2 2


     POPULATION VALUES FOR LATENT CLASS INDICATOR MODEL PART


           TAU(U) FOR LATENT CLASS PATTERN 1 1 1 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                1.000         1.000         1.000         1.000


           TAU(U) FOR LATENT CLASS PATTERN 1 1 1 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                1.000         1.000         1.000        -1.000


           TAU(U) FOR LATENT CLASS PATTERN 1 1 2 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                1.000         1.000        -1.000         1.000


           TAU(U) FOR LATENT CLASS PATTERN 1 1 2 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                1.000         1.000        -1.000        -1.000


           TAU(U) FOR LATENT CLASS PATTERN 1 2 1 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                1.000        -1.000         1.000         1.000


           TAU(U) FOR LATENT CLASS PATTERN 1 2 1 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                1.000        -1.000         1.000        -1.000


           TAU(U) FOR LATENT CLASS PATTERN 1 2 2 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                1.000        -1.000        -1.000         1.000


           TAU(U) FOR LATENT CLASS PATTERN 1 2 2 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                1.000        -1.000        -1.000        -1.000


           TAU(U) FOR LATENT CLASS PATTERN 2 1 1 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
               -1.000         1.000         1.000         1.000


           TAU(U) FOR LATENT CLASS PATTERN 2 1 1 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
               -1.000         1.000         1.000        -1.000


           TAU(U) FOR LATENT CLASS PATTERN 2 1 2 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
               -1.000         1.000        -1.000         1.000


           TAU(U) FOR LATENT CLASS PATTERN 2 1 2 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
               -1.000         1.000        -1.000        -1.000


           TAU(U) FOR LATENT CLASS PATTERN 2 2 1 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
               -1.000        -1.000         1.000         1.000


           TAU(U) FOR LATENT CLASS PATTERN 2 2 1 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
               -1.000        -1.000         1.000        -1.000


           TAU(U) FOR LATENT CLASS PATTERN 2 2 2 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
               -1.000        -1.000        -1.000         1.000


           TAU(U) FOR LATENT CLASS PATTERN 2 2 2 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
               -1.000        -1.000        -1.000        -1.000


     POPULATION VALUES FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              C1#1          C1#2          C2#1          C2#2          C3#1
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           ALPHA(C)
              C3#2          C4#1          C4#2
              ________      ________      ________
                0.000         0.000         0.000


           BETA(C)
              C3#1          C3#2
              ________      ________
 C4#1           2.000         0.000
 C4#2           0.000         0.000


           BETA(C)
              C2#1          C2#2
              ________      ________
 C3#1           2.000         0.000
 C3#2           0.000         0.000


           BETA(C)
              C1#1          C1#2
              ________      ________
 C2#1           2.000         0.000
 C2#2           0.000         0.000


TECHNICAL 8 OUTPUT


  TECHNICAL 8 OUTPUT FOR REPLICATION 1


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.13429257D+05    0.0000000    0.0000000  EM
              2 -0.13428347D+05    0.9100962    0.0000678  EM
              3 -0.13428256D+05    0.0915889    0.0000068  EM
              4 -0.13428200D+05    0.0555921    0.0000041  EM
              5 -0.13428165D+05    0.0344988    0.0000026  EM
              6 -0.13428143D+05    0.0221289    0.0000016  EM
              7 -0.13428129D+05    0.0148415    0.0000011  EM
              8 -0.13428118D+05    0.0105094    0.0000008  EM
              9 -0.13428110D+05    0.0078982    0.0000006  EM
             10 -0.13428104D+05    0.0062936    0.0000005  EM
             11 -0.13428099D+05    0.0052826    0.0000004  EM
             12 -0.13428094D+05    0.0046259    0.0000003  EM
             13 -0.13428090D+05    0.0041841    0.0000003  EM
             14 -0.13428086D+05    0.0038754    0.0000003  EM
             15 -0.13428082D+05    0.0036511    0.0000003  EM
             16 -0.13428079D+05    0.0034818    0.0000003  EM
             17 -0.13428075D+05    0.0033494    0.0000002  EM
             18 -0.13428072D+05    0.0032425    0.0000002  EM
             19 -0.13428069D+05    0.0031538    0.0000002  EM
             20 -0.13428066D+05    0.0030783    0.0000002  EM
             21 -0.13428063D+05    0.0030127    0.0000002  EM
             22 -0.13428060D+05    0.0029546    0.0000002  EM
             23 -0.13428057D+05    0.0029023    0.0000002  EM
             24 -0.13428054D+05    0.0028546    0.0000002  EM
             25 -0.13428051D+05    0.0028105    0.0000002  EM
             26 -0.13428049D+05    0.0027693    0.0000002  EM
             27 -0.13428046D+05    0.0027305    0.0000002  EM
             28 -0.13428043D+05    0.0026935    0.0000002  EM
             29 -0.13428041D+05    0.0026582    0.0000002  EM
             30 -0.13428038D+05    0.0026242    0.0000002  EM
             31 -0.13428035D+05    0.0025913    0.0000002  EM
             32 -0.13428033D+05    0.0025593    0.0000002  EM
             33 -0.13428030D+05    0.0025281    0.0000002  EM
             34 -0.13428028D+05    0.0024977    0.0000002  EM
             35 -0.13427840D+05    0.1878315    0.0000140  FS
             36 -0.13427812D+05    0.0283131    0.0000021  FS
             37 -0.13427811D+05    0.0002466    0.0000000  FS
             38 -0.13427811D+05    0.0000085    0.0000000  FS


TECHNICAL 9 OUTPUT

  Error messages for each replication (if any)



SAVEDATA INFORMATION

  Order of variables

    U1
    U2
    U3
    U4
    C1
    C2
    C3
    C4

  Save file
    ex8.12.dat

  Save file format           Free
  Save file record length    10000


     Beginning Time:  22:24:43
        Ending Time:  22:24:44
       Elapsed Time:  00:00:01



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