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

INPUT INSTRUCTIONS

  title:
  	this is an example of a LCA with a second-
  	order factor (twin analysis)

  montecarlo:
  	names are u11-u13 u21-u23;
  	genclasses = c1(2) c2(2);
  	classes = c1(2) c2(2);
  	generate = u11-u23(1);
  	categorical = u11-u23;
  	nobs = 5000;
  	seed = 3454367;
  	nrep = 1;
  	save = ex7.18.dat;

  analysis:
  	type = mixture;
  	algo = int;

  model population:
  	%overall%

  	f by u11@0;
  	[f@0];
  	f@1;

  	[c1#1*0 c2#1*0];
  	c1#1 c2#1 on f*1 (1);

  model population-c1:
  	
  	%c1#1%
  	[u11$1-u13$1*-1];
  	%c1#2%
  	[u11$1-u13$1*1];

  model population-c2:
  	
  	%c2#1%
  	[u21$1-u23$1*-1];
  	%c2#2%
  	[u21$1-u23$1*1];
  	
  model:
  	%overall%

  	
  	f by u11@0;
  	[f@0];
  	f@1;

  	[c1#1*0 c2#1*0];
  	c1#1 c2#1 on f*1 (1);

  model c1:
  	
  	%c1#1%
  	[u11$1-u13$1*-1];
  	%c1#2%
  	[u11$1-u13$1*1];

  model c2:
  	
  	%c2#1%
  	[u21$1-u23$1*-1];
  	%c2#2%
  	[u21$1-u23$1*1];

  output:
  	tech8 tech9;	
  	



INPUT READING TERMINATED NORMALLY




this is an example of a LCA with a second-
order factor (twin analysis)

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                                    6
Number of independent variables                                  0
Number of continuous latent variables                            1
Number of categorical latent variables                           2

Observed dependent variables

  Binary and ordered categorical (ordinal)
   U11         U12         U13         U21         U22         U23

Continuous latent variables
   F

Categorical latent variables
   C1          C2


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





MODEL FIT INFORMATION

Number of Free Parameters                       15

Loglikelihood

    H0 Value

        Mean                            -20142.956
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000       -20142.956     -20142.956
           0.980       0.000       -20142.956     -20142.956
           0.950       0.000       -20142.956     -20142.956
           0.900       0.000       -20142.956     -20142.956
           0.800       0.000       -20142.956     -20142.956
           0.700       0.000       -20142.956     -20142.956
           0.500       0.000       -20142.956     -20142.956
           0.300       0.000       -20142.956     -20142.956
           0.200       0.000       -20142.956     -20142.956
           0.100       0.000       -20142.956     -20142.956
           0.050       0.000       -20142.956     -20142.956
           0.020       0.000       -20142.956     -20142.956
           0.010       0.000       -20142.956     -20142.956

Information Criteria

    Akaike (AIC)

        Mean                             40315.911
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        40315.911      40315.911
           0.980       0.000        40315.911      40315.911
           0.950       0.000        40315.911      40315.911
           0.900       0.000        40315.911      40315.911
           0.800       0.000        40315.911      40315.911
           0.700       0.000        40315.911      40315.911
           0.500       0.000        40315.911      40315.911
           0.300       0.000        40315.911      40315.911
           0.200       0.000        40315.911      40315.911
           0.100       0.000        40315.911      40315.911
           0.050       0.000        40315.911      40315.911
           0.020       0.000        40315.911      40315.911
           0.010       0.000        40315.911      40315.911

    Bayesian (BIC)

        Mean                             40413.669
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        40413.669      40413.669
           0.980       0.000        40413.669      40413.669
           0.950       0.000        40413.669      40413.669
           0.900       0.000        40413.669      40413.669
           0.800       0.000        40413.669      40413.669
           0.700       0.000        40413.669      40413.669
           0.500       0.000        40413.669      40413.669
           0.300       0.000        40413.669      40413.669
           0.200       0.000        40413.669      40413.669
           0.100       0.000        40413.669      40413.669
           0.050       0.000        40413.669      40413.669
           0.020       0.000        40413.669      40413.669
           0.010       0.000        40413.669      40413.669

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

        Mean                             40366.004
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        40366.004      40366.004
           0.980       0.000        40366.004      40366.004
           0.950       0.000        40366.004      40366.004
           0.900       0.000        40366.004      40366.004
           0.800       0.000        40366.004      40366.004
           0.700       0.000        40366.004      40366.004
           0.500       0.000        40366.004      40366.004
           0.300       0.000        40366.004      40366.004
           0.200       0.000        40366.004      40366.004
           0.100       0.000        40366.004      40366.004
           0.050       0.000        40366.004      40366.004
           0.020       0.000        40366.004      40366.004
           0.010       0.000        40366.004      40366.004

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

    Pearson Chi-Square

        Mean                                42.947
        Std Dev                              0.000
        Degrees of freedom                      48
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       1.000           28.177         42.947
           0.980       1.000           30.080         42.947
           0.950       1.000           33.098         42.947
           0.900       1.000           35.949         42.947
           0.800       1.000           39.621         42.947
           0.700       1.000           42.420         42.947
           0.500       0.000           47.335         42.947
           0.300       0.000           52.616         42.947
           0.200       0.000           55.993         42.947
           0.100       0.000           60.907         42.947
           0.050       0.000           65.171         42.947
           0.020       0.000           70.197         42.947
           0.010       0.000           73.683         42.947

    Likelihood Ratio Chi-Square

        Mean                                43.600
        Std Dev                              0.000
        Degrees of freedom                      48
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       1.000           28.177         43.600
           0.980       1.000           30.080         43.600
           0.950       1.000           33.098         43.600
           0.900       1.000           35.949         43.600
           0.800       1.000           39.621         43.600
           0.700       1.000           42.420         43.600
           0.500       0.000           47.335         43.600
           0.300       0.000           52.616         43.600
           0.200       0.000           55.993         43.600
           0.100       0.000           60.907         43.600
           0.050       0.000           65.171         43.600
           0.020       0.000           70.197         43.600
           0.010       0.000           73.683         43.600



MODEL RESULTS USE THE LATENT CLASS VARIABLE ORDER

   C1  C2


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

  Latent Class
    Pattern

    1  1       1559.69489          0.31194
    1  2       1004.83398          0.20097
    2  1       1144.59972          0.22892
    2  2       1290.87141          0.25817


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

  Latent Class
    Variable    Class

    C1             1      2564.52881          0.51291
                   2      2435.47119          0.48709
    C2             1      2704.29468          0.54086
                   2      2295.70532          0.45914


LATENT TRANSITION PROBABILITIES BASED ON THE ESTIMATED MODEL

  C1 Classes (Rows) by C2 Classes (Columns)

            1        2

   1     0.601    0.399
   2     0.478    0.522


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

  Latent Class
    Pattern

    1  1       1559.18736          0.31184
    1  2       1005.11311          0.20102
    2  1       1144.91641          0.22898
    2  2       1290.78312          0.25816


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

  Latent Class
    Variable    Class

    C1             1      2564.30054          0.51286
                   2      2435.69946          0.48714
    C2             1      2704.10376          0.54082
                   2      2295.89624          0.45918


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             1342          0.26840
    1  2             1150          0.23000
    2  1             1219          0.24380
    2  2             1289          0.25780


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

  Latent Class
    Variable    Class

    C1             1            2492          0.49840
                   2            2508          0.50160
    C2             1            2561          0.51220
                   2            2439          0.48780


CLASSIFICATION QUALITY

     Entropy                         0.407


MODEL RESULTS

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

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

 F        BY
  U11                 0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

 Means
  F                   0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

 Variances
  F                   1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

Parameters for Class-specific Model Parts of C1

Latent Class C1#1

 Thresholds
  U11$1              -1.000    -0.9627     0.0000     0.0998     0.0014 1.000 1.000
  U12$1              -1.000    -0.9844     0.0000     0.1032     0.0002 1.000 1.000
  U13$1              -1.000    -0.9426     0.0000     0.0977     0.0033 1.000 1.000

Latent Class C1#2

 Thresholds
  U11$1               1.000     1.0120     0.0000     0.1044     0.0001 1.000 1.000
  U12$1               1.000     1.0804     0.0000     0.1105     0.0065 1.000 1.000
  U13$1               1.000     1.0537     0.0000     0.1081     0.0029 1.000 1.000

Parameters for Class-specific Model Parts of C2

Latent Class C2#1

 Thresholds
  U21$1              -1.000    -0.9353     0.0000     0.0920     0.0042 1.000 1.000
  U22$1              -1.000    -1.0347     0.0000     0.1055     0.0012 1.000 1.000
  U23$1              -1.000    -0.9166     0.0000     0.0898     0.0069 1.000 1.000

Latent Class C2#2

 Thresholds
  U21$1               1.000     0.9921     0.0000     0.1031     0.0001 1.000 1.000
  U22$1               1.000     1.2868     0.0000     0.1387     0.0822 0.000 1.000
  U23$1               1.000     0.9761     0.0000     0.1021     0.0006 1.000 1.000

Categorical Latent Variables

 C1#1       ON
  F                   1.000     0.8605     0.0000     0.1238     0.0195 1.000 1.000

 C2#1       ON
  F                   1.000     0.8605     0.0000     0.1238     0.0195 1.000 1.000

 Intercepts
  C1#1                0.000     0.0597     0.0000     0.1553     0.0036 1.000 0.000
  C2#1                0.000     0.1900     0.0000     0.1533     0.0361 1.000 0.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.222E-01
       (ratio of smallest to largest eigenvalue)


C-SPECIFIC CLASSIFICATION RESULTS

Classification Quality for C1

     Entropy                         0.399

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

           1        2

    1   0.837    0.163
    2   0.191    0.809

Classification Quality for C2

     Entropy                         0.412

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

           1        2

    1   0.857    0.143
    2   0.209    0.791


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 1 1


           NU
              U11           U12           U13           U21           U22
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           NU
              U23
              ________
                    0


           LAMBDA
              F
              ________
 U11                0
 U12                0
 U13                0
 U21                0
 U22                0
 U23                0


           THETA
              U11           U12           U13           U21           U22
              ________      ________      ________      ________      ________
 U11                0
 U12                0             0
 U13                0             0             0
 U21                0             0             0             0
 U22                0             0             0             0             0
 U23                0             0             0             0             0


           THETA
              U23
              ________
 U23                0


           ALPHA
              F
              ________
                    0


           BETA
              F
              ________
 F                  0


           PSI
              F
              ________
 F                  0


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 1 2


           NU
              U11           U12           U13           U21           U22
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           NU
              U23
              ________
                    0


           LAMBDA
              F
              ________
 U11                0
 U12                0
 U13                0
 U21                0
 U22                0
 U23                0


           THETA
              U11           U12           U13           U21           U22
              ________      ________      ________      ________      ________
 U11                0
 U12                0             0
 U13                0             0             0
 U21                0             0             0             0
 U22                0             0             0             0             0
 U23                0             0             0             0             0


           THETA
              U23
              ________
 U23                0


           ALPHA
              F
              ________
                    0


           BETA
              F
              ________
 F                  0


           PSI
              F
              ________
 F                  0


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 2 1


           NU
              U11           U12           U13           U21           U22
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           NU
              U23
              ________
                    0


           LAMBDA
              F
              ________
 U11                0
 U12                0
 U13                0
 U21                0
 U22                0
 U23                0


           THETA
              U11           U12           U13           U21           U22
              ________      ________      ________      ________      ________
 U11                0
 U12                0             0
 U13                0             0             0
 U21                0             0             0             0
 U22                0             0             0             0             0
 U23                0             0             0             0             0


           THETA
              U23
              ________
 U23                0


           ALPHA
              F
              ________
                    0


           BETA
              F
              ________
 F                  0


           PSI
              F
              ________
 F                  0


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 2 2


           NU
              U11           U12           U13           U21           U22
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           NU
              U23
              ________
                    0


           LAMBDA
              F
              ________
 U11                0
 U12                0
 U13                0
 U21                0
 U22                0
 U23                0


           THETA
              U11           U12           U13           U21           U22
              ________      ________      ________      ________      ________
 U11                0
 U12                0             0
 U13                0             0             0
 U21                0             0             0             0
 U22                0             0             0             0             0
 U23                0             0             0             0             0


           THETA
              U23
              ________
 U23                0


           ALPHA
              F
              ________
                    0


           BETA
              F
              ________
 F                  0


           PSI
              F
              ________
 F                  0


     PARAMETER SPECIFICATION FOR LATENT CLASS INDICATOR MODEL PART


           TAU(U) FOR LATENT CLASS PATTERN 1 1
              U11$1         U12$1         U13$1         U21$1         U22$1
              ________      ________      ________      ________      ________
                    1             2             3             4             5


           TAU(U) FOR LATENT CLASS PATTERN 1 1
              U23$1
              ________
                    6


           TAU(U) FOR LATENT CLASS PATTERN 1 2
              U11$1         U12$1         U13$1         U21$1         U22$1
              ________      ________      ________      ________      ________
                    1             2             3             7             8


           TAU(U) FOR LATENT CLASS PATTERN 1 2
              U23$1
              ________
                    9


           TAU(U) FOR LATENT CLASS PATTERN 2 1
              U11$1         U12$1         U13$1         U21$1         U22$1
              ________      ________      ________      ________      ________
                   10            11            12             4             5


           TAU(U) FOR LATENT CLASS PATTERN 2 1
              U23$1
              ________
                    6


           TAU(U) FOR LATENT CLASS PATTERN 2 2
              U11$1         U12$1         U13$1         U21$1         U22$1
              ________      ________      ________      ________      ________
                   10            11            12             7             8


           TAU(U) FOR LATENT CLASS PATTERN 2 2
              U23$1
              ________
                    9


     PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              C1#1          C1#2          C2#1          C2#2
              ________      ________      ________      ________
                   13             0            14             0


           GAMMA(C)
              F
              ________
 C1#1              15
 C1#2               0
 C2#1              15
 C2#2               0


     STARTING VALUES FOR LATENT CLASS PATTERN 1 1


           NU
              U11           U12           U13           U21           U22
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           NU
              U23
              ________
                0.000


           LAMBDA
              F
              ________
 U11            0.000
 U12            0.000
 U13            0.000
 U21            0.000
 U22            0.000
 U23            0.000


           THETA
              U11           U12           U13           U21           U22
              ________      ________      ________      ________      ________
 U11            1.000
 U12            0.000         1.000
 U13            0.000         0.000         1.000
 U21            0.000         0.000         0.000         1.000
 U22            0.000         0.000         0.000         0.000         1.000
 U23            0.000         0.000         0.000         0.000         0.000


           THETA
              U23
              ________
 U23            1.000


           ALPHA
              F
              ________
                0.000


           BETA
              F
              ________
 F              0.000


           PSI
              F
              ________
 F              1.000


     STARTING VALUES FOR LATENT CLASS PATTERN 1 2


           NU
              U11           U12           U13           U21           U22
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           NU
              U23
              ________
                0.000


           LAMBDA
              F
              ________
 U11            0.000
 U12            0.000
 U13            0.000
 U21            0.000
 U22            0.000
 U23            0.000


           THETA
              U11           U12           U13           U21           U22
              ________      ________      ________      ________      ________
 U11            1.000
 U12            0.000         1.000
 U13            0.000         0.000         1.000
 U21            0.000         0.000         0.000         1.000
 U22            0.000         0.000         0.000         0.000         1.000
 U23            0.000         0.000         0.000         0.000         0.000


           THETA
              U23
              ________
 U23            1.000


           ALPHA
              F
              ________
                0.000


           BETA
              F
              ________
 F              0.000


           PSI
              F
              ________
 F              1.000


     STARTING VALUES FOR LATENT CLASS PATTERN 2 1


           NU
              U11           U12           U13           U21           U22
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           NU
              U23
              ________
                0.000


           LAMBDA
              F
              ________
 U11            0.000
 U12            0.000
 U13            0.000
 U21            0.000
 U22            0.000
 U23            0.000


           THETA
              U11           U12           U13           U21           U22
              ________      ________      ________      ________      ________
 U11            1.000
 U12            0.000         1.000
 U13            0.000         0.000         1.000
 U21            0.000         0.000         0.000         1.000
 U22            0.000         0.000         0.000         0.000         1.000
 U23            0.000         0.000         0.000         0.000         0.000


           THETA
              U23
              ________
 U23            1.000


           ALPHA
              F
              ________
                0.000


           BETA
              F
              ________
 F              0.000


           PSI
              F
              ________
 F              1.000


     STARTING VALUES FOR LATENT CLASS PATTERN 2 2


           NU
              U11           U12           U13           U21           U22
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           NU
              U23
              ________
                0.000


           LAMBDA
              F
              ________
 U11            0.000
 U12            0.000
 U13            0.000
 U21            0.000
 U22            0.000
 U23            0.000


           THETA
              U11           U12           U13           U21           U22
              ________      ________      ________      ________      ________
 U11            1.000
 U12            0.000         1.000
 U13            0.000         0.000         1.000
 U21            0.000         0.000         0.000         1.000
 U22            0.000         0.000         0.000         0.000         1.000
 U23            0.000         0.000         0.000         0.000         0.000


           THETA
              U23
              ________
 U23            1.000


           ALPHA
              F
              ________
                0.000


           BETA
              F
              ________
 F              0.000


           PSI
              F
              ________
 F              1.000


     STARTING VALUES FOR LATENT CLASS INDICATOR MODEL PART


           TAU(U) FOR LATENT CLASS PATTERN 1 1
              U11$1         U12$1         U13$1         U21$1         U22$1
              ________      ________      ________      ________      ________
               -1.000        -1.000        -1.000        -1.000        -1.000


           TAU(U) FOR LATENT CLASS PATTERN 1 1
              U23$1
              ________
               -1.000


           TAU(U) FOR LATENT CLASS PATTERN 1 2
              U11$1         U12$1         U13$1         U21$1         U22$1
              ________      ________      ________      ________      ________
               -1.000        -1.000        -1.000         1.000         1.000


           TAU(U) FOR LATENT CLASS PATTERN 1 2
              U23$1
              ________
                1.000


           TAU(U) FOR LATENT CLASS PATTERN 2 1
              U11$1         U12$1         U13$1         U21$1         U22$1
              ________      ________      ________      ________      ________
                1.000         1.000         1.000        -1.000        -1.000


           TAU(U) FOR LATENT CLASS PATTERN 2 1
              U23$1
              ________
               -1.000


           TAU(U) FOR LATENT CLASS PATTERN 2 2
              U11$1         U12$1         U13$1         U21$1         U22$1
              ________      ________      ________      ________      ________
                1.000         1.000         1.000         1.000         1.000


           TAU(U) FOR LATENT CLASS PATTERN 2 2
              U23$1
              ________
                1.000


     STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART


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


           GAMMA(C)
              F
              ________
 C1#1           1.000
 C1#2           0.000
 C2#1           1.000
 C2#2           0.000


     POPULATION VALUES FOR LATENT CLASS PATTERN 1 1


           NU
              U11           U12           U13           U21           U22
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           NU
              U23
              ________
                0.000


           LAMBDA
              F
              ________
 U11            0.000
 U12            0.000
 U13            0.000
 U21            0.000
 U22            0.000
 U23            0.000


           THETA
              U11           U12           U13           U21           U22
              ________      ________      ________      ________      ________
 U11            0.000
 U12            0.000         0.000
 U13            0.000         0.000         0.000
 U21            0.000         0.000         0.000         0.000
 U22            0.000         0.000         0.000         0.000         0.000
 U23            0.000         0.000         0.000         0.000         0.000


           THETA
              U23
              ________
 U23            0.000


           ALPHA
              F
              ________
                0.000


           BETA
              F
              ________
 F              0.000


           PSI
              F
              ________
 F              1.000


     POPULATION VALUES FOR LATENT CLASS PATTERN 1 2


           NU
              U11           U12           U13           U21           U22
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           NU
              U23
              ________
                0.000


           LAMBDA
              F
              ________
 U11            0.000
 U12            0.000
 U13            0.000
 U21            0.000
 U22            0.000
 U23            0.000


           THETA
              U11           U12           U13           U21           U22
              ________      ________      ________      ________      ________
 U11            0.000
 U12            0.000         0.000
 U13            0.000         0.000         0.000
 U21            0.000         0.000         0.000         0.000
 U22            0.000         0.000         0.000         0.000         0.000
 U23            0.000         0.000         0.000         0.000         0.000


           THETA
              U23
              ________
 U23            0.000


           ALPHA
              F
              ________
                0.000


           BETA
              F
              ________
 F              0.000


           PSI
              F
              ________
 F              1.000


     POPULATION VALUES FOR LATENT CLASS PATTERN 2 1


           NU
              U11           U12           U13           U21           U22
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           NU
              U23
              ________
                0.000


           LAMBDA
              F
              ________
 U11            0.000
 U12            0.000
 U13            0.000
 U21            0.000
 U22            0.000
 U23            0.000


           THETA
              U11           U12           U13           U21           U22
              ________      ________      ________      ________      ________
 U11            0.000
 U12            0.000         0.000
 U13            0.000         0.000         0.000
 U21            0.000         0.000         0.000         0.000
 U22            0.000         0.000         0.000         0.000         0.000
 U23            0.000         0.000         0.000         0.000         0.000


           THETA
              U23
              ________
 U23            0.000


           ALPHA
              F
              ________
                0.000


           BETA
              F
              ________
 F              0.000


           PSI
              F
              ________
 F              1.000


     POPULATION VALUES FOR LATENT CLASS PATTERN 2 2


           NU
              U11           U12           U13           U21           U22
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           NU
              U23
              ________
                0.000


           LAMBDA
              F
              ________
 U11            0.000
 U12            0.000
 U13            0.000
 U21            0.000
 U22            0.000
 U23            0.000


           THETA
              U11           U12           U13           U21           U22
              ________      ________      ________      ________      ________
 U11            0.000
 U12            0.000         0.000
 U13            0.000         0.000         0.000
 U21            0.000         0.000         0.000         0.000
 U22            0.000         0.000         0.000         0.000         0.000
 U23            0.000         0.000         0.000         0.000         0.000


           THETA
              U23
              ________
 U23            0.000


           ALPHA
              F
              ________
                0.000


           BETA
              F
              ________
 F              0.000


           PSI
              F
              ________
 F              1.000


     POPULATION VALUES FOR LATENT CLASS INDICATOR MODEL PART


           TAU(U) FOR LATENT CLASS PATTERN 1 1
              U11$1         U12$1         U13$1         U21$1         U22$1
              ________      ________      ________      ________      ________
               -1.000        -1.000        -1.000        -1.000        -1.000


           TAU(U) FOR LATENT CLASS PATTERN 1 1
              U23$1
              ________
               -1.000


           TAU(U) FOR LATENT CLASS PATTERN 1 2
              U11$1         U12$1         U13$1         U21$1         U22$1
              ________      ________      ________      ________      ________
               -1.000        -1.000        -1.000         1.000         1.000


           TAU(U) FOR LATENT CLASS PATTERN 1 2
              U23$1
              ________
                1.000


           TAU(U) FOR LATENT CLASS PATTERN 2 1
              U11$1         U12$1         U13$1         U21$1         U22$1
              ________      ________      ________      ________      ________
                1.000         1.000         1.000        -1.000        -1.000


           TAU(U) FOR LATENT CLASS PATTERN 2 1
              U23$1
              ________
               -1.000


           TAU(U) FOR LATENT CLASS PATTERN 2 2
              U11$1         U12$1         U13$1         U21$1         U22$1
              ________      ________      ________      ________      ________
                1.000         1.000         1.000         1.000         1.000


           TAU(U) FOR LATENT CLASS PATTERN 2 2
              U23$1
              ________
                1.000


     POPULATION VALUES FOR LATENT CLASS REGRESSION MODEL PART


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


           GAMMA(C)
              F
              ________
 C1#1           1.000
 C1#2           0.000
 C2#1           1.000
 C2#2           0.000


TECHNICAL 8 OUTPUT


  TECHNICAL 8 OUTPUT FOR REPLICATION 1


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.20150468D+05    0.0000000    0.0000000  EM
              2 -0.20145955D+05    4.5126575    0.0002239  EM
              3 -0.20145216D+05    0.7391764    0.0000367  EM
              4 -0.20144748D+05    0.4683941    0.0000233  EM
              5 -0.20144433D+05    0.3146529    0.0000156  EM
              6 -0.20143011D+05    1.4224744    0.0000706  FS
              7 -0.20142956D+05    0.0550399    0.0000027  FS
              8 -0.20142956D+05    0.0001216    0.0000000  FS


TECHNICAL 9 OUTPUT

  Error messages for each replication (if any)



SAVEDATA INFORMATION

  Order of variables

    U11
    U12
    U13
    U21
    U22
    U23
    C1
    C2

  Save file
    ex7.18.dat

  Save file format           Free
  Save file record length    10000


     Beginning Time:  22:24:30
        Ending Time:  22:24:30
       Elapsed Time:  00:00:00



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