Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022  11:17 PM

INPUT INSTRUCTIONS

  TITLE:	this is an example of GMM with known
  	classes (multiple group analysis)
  DATA:	FILE IS ex8.8.dat;
  VARIABLE:	NAMES ARE g y1-y4 x cg c;
  	USEVARIABLES ARE y1-y4 x;
  	CLASSES = cg (2) c (2);
  	KNOWNCLASS = cg (g = 0 g = 1);
  ANALYSIS: TYPE = MIXTURE;
  MODEL:
  	%OVERALL%
  	i s | y1@0 y2@1 y3@2 y4@3;
  	i s ON x;
  	c ON cg x;
  	%cg#1.c#1%
  	[i*2 s*1];
  	%cg#1.c#2%
  	[i*0 s*0];
  	%cg#2.c#1%
  	[i*3 s*1.5];
  	%cg#2.c#2%
  	[i*1 s*.5];
  OUTPUT:	TECH1 TECH8;



INPUT READING TERMINATED NORMALLY



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

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                        1000

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

Observed dependent variables

  Continuous
   Y1          Y2          Y3          Y4

Observed independent variables
   X

Continuous latent variables
   I           S

Categorical latent variables
   CG          C

  Knownclass            CG


Estimator                                                      MLR
Information matrix                                        OBSERVED
Optimization Specifications for the Quasi-Newton Algorithm for
Continuous Outcomes
  Maximum number of iterations                                 100
  Convergence criterion                                  0.100D-05
Optimization Specifications for the EM Algorithm
  Maximum number of iterations                                 500
  Convergence criteria
    Loglikelihood change                                 0.100D-06
    Relative loglikelihood change                        0.100D-06
    Derivative                                           0.100D-05
Optimization Specifications for the M step of the EM Algorithm for
Categorical Latent variables
  Number of M step iterations                                    1
  M step convergence criterion                           0.100D-05
  Basis for M step termination                           ITERATION
Optimization Specifications for the M step of the EM Algorithm for
Censored, Binary or Ordered Categorical (Ordinal), Unordered
Categorical (Nominal) and Count Outcomes
  Number of M step iterations                                    1
  M step convergence criterion                           0.100D-05
  Basis for M step termination                           ITERATION
  Maximum value for logit thresholds                            15
  Minimum value for logit thresholds                           -15
  Minimum expected cell size for chi-square              0.100D-01
Optimization algorithm                                         EMA
Random Starts Specifications
  Number of initial stage random starts                         20
  Number of final stage optimizations                            4
  Number of initial stage iterations                            10
  Initial stage convergence criterion                    0.100D+01
  Random starts scale                                    0.500D+01
  Random seed for generating random starts                       0
Parameterization                                             LOGIT

Input data file(s)
  ex8.8.dat
Input data format  FREE



UNIVARIATE SAMPLE STATISTICS


     UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS

         Variable/         Mean/     Skewness/   Minimum/ % with                Percentiles
        Sample Size      Variance    Kurtosis    Maximum  Min/Max      20%/60%    40%/80%    Median

     Y1                    1.615      -0.208      -4.916    0.10%       0.177      1.226      1.727
            1000.000       2.928       0.000       6.368    0.10%       2.139      3.077
     Y2                    2.434      -0.145      -4.206    0.10%       0.478      1.902      2.565
            1000.000       5.072      -0.281       9.672    0.10%       3.100      4.385
     Y3                    3.241      -0.258      -6.169    0.10%       0.556      2.658      3.472
            1000.000       8.387      -0.476      10.368    0.10%       4.257      5.803
     Y4                    4.068      -0.308      -7.614    0.10%       0.865      3.212      4.274
            1000.000      12.519      -0.519      12.321    0.10%       5.383      7.397
     X                    -0.040       0.095      -3.054    0.10%      -0.896     -0.307     -0.057
            1000.000       1.023       0.019       3.516    0.10%       0.217      0.833

RANDOM STARTS RESULTS RANKED FROM THE BEST TO THE WORST LOGLIKELIHOOD VALUES

Final stage loglikelihood values at local maxima, seeds, and initial stage start numbers:

           -7051.578  unperturbed      0
           -7051.578  637345           19
           -7051.578  573096           20
           -7108.086  285380           1



THE BEST LOGLIKELIHOOD VALUE HAS BEEN REPLICATED.  RERUN WITH AT LEAST TWICE THE
RANDOM STARTS TO CHECK THAT THE BEST LOGLIKELIHOOD IS STILL OBTAINED AND REPLICATED.


THE MODEL ESTIMATION TERMINATED NORMALLY



MODEL FIT INFORMATION

Number of Free Parameters                       21

Loglikelihood

          H0 Value                       -7051.578
          H0 Scaling Correction Factor      0.9823
            for MLR

Information Criteria

          Akaike (AIC)                   14145.157
          Bayesian (BIC)                 14248.219
          Sample-Size Adjusted BIC       14181.522
            (n* = (n + 2) / 24)



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

  Latent Class
    Variable    Class

    CG             1       513.00000          0.51300
                   2       487.00000          0.48700
    C              1       598.14185          0.59814
                   2       401.85818          0.40186


LOGISTIC REGRESSION ODDS RATIO RESULTS

                                                95% C.I.
                    Estimate       S.E.  Lower 2.5% Upper 2.5%

Categorical Latent Variables

 C#1      ON
    X                  3.776      0.515      2.890      4.933


LATENT TRANSITION PROBABILITIES BASED ON THE ESTIMATED MODEL

  CG Classes (Rows) by C Classes (Columns)

            1        2

   1     0.603    0.397
   2     0.495    0.505


TRANSITION PROBABILITY ODDS


     EVALUATED AT THE SAMPLE MEAN FOR ALL COVARIATES

     TRANSITION TABLE ODDS AND 95% CONFIDENCE INTERVALS FOR CG TO C
        1.000(1.000,1.000)   0.339(0.244,0.471)
        1.007(0.758,1.338)   1.000(1.000,1.000)


COVARIATE EFFECTS ON TRANSITION PROBABILITY ODDS RATIOS

     EFFECT OF X

     TRANSITION TABLE ODDS RATIO AND 95% CONFIDENCE INTERVALS FOR CG TO C
        1.000(1.000,1.000)   0.265(0.203,0.346)
        3.776(2.890,4.933)   1.000(1.000,1.000)


C-SPECIFIC CLASSIFICATION RESULTS

Classification Quality for CG

     Entropy                         1.000

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

           1        2

    1   1.000    0.000
    2   0.000    1.000


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

           1        2

    1   1.000    0.000
    2   0.000    1.000


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

              1        2

    1     13.816    0.000
    2    -13.816    0.000

Classification Quality for C

     Entropy                         0.772

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

           1        2

    1   0.942    0.058
    2   0.068    0.932


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

           1        2

    1   0.956    0.044
    2   0.088    0.912


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

              1        2

    1      3.069    0.000
    2     -2.336    0.000


MODEL RESULTS

                                                    Two-Tailed
                    Estimate       S.E.  Est./S.E.    P-Value

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

 I        |
    Y1                 1.000      0.000    999.000    999.000
    Y2                 1.000      0.000    999.000    999.000
    Y3                 1.000      0.000    999.000    999.000
    Y4                 1.000      0.000    999.000    999.000

 S        |
    Y1                 0.000      0.000    999.000    999.000
    Y2                 1.000      0.000    999.000    999.000
    Y3                 2.000      0.000    999.000    999.000
    Y4                 3.000      0.000    999.000    999.000

 I          ON
    X                  0.469      0.046     10.093      0.000

 S          ON
    X                  0.197      0.024      8.067      0.000

 S        WITH
    I                  0.020      0.026      0.776      0.438

 Intercepts
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.000      0.000    999.000    999.000
    Y3                 0.000      0.000    999.000    999.000
    Y4                 0.000      0.000    999.000    999.000

 Residual Variances
    Y1                 0.511      0.045     11.333      0.000
    Y2                 0.519      0.029     17.681      0.000
    Y3                 0.452      0.032     13.920      0.000
    Y4                 0.576      0.060      9.564      0.000
    I                  1.017      0.074     13.786      0.000
    S                  0.181      0.017     10.497      0.000

Parameters for Class-specific Model Parts

Latent Class Pattern 1 1

 Intercepts
    I                  1.957      0.068     28.671      0.000
    S                  1.048      0.037     28.234      0.000

Latent Class Pattern 1 2

 Intercepts
    I                  0.111      0.136      0.814      0.415
    S                 -0.117      0.052     -2.266      0.023

Latent Class Pattern 2 1

 Intercepts
    I                  2.805      0.093     30.108      0.000
    S                  1.405      0.037     38.315      0.000

Latent Class Pattern 2 2

 Intercepts
    I                  0.981      0.085     11.521      0.000
    S                  0.523      0.045     11.532      0.000

Categorical Latent Variables

 C#1      ON
    CG#1               1.075      0.217      4.955      0.000

 C#1        ON
    X                  1.329      0.136      9.737      0.000

 Means
    CG#1               0.052      0.063      0.822      0.411
    C#1                0.060      0.146      0.415      0.678


QUALITY OF NUMERICAL RESULTS

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


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 1 1


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


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


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


           ALPHA
              I             S             X
              ________      ________      ________
                    5             6             0


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


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


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 1 2


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


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


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


           ALPHA
              I             S             X
              ________      ________      ________
                   12            13             0


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


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


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 2 1


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


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


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


           ALPHA
              I             S             X
              ________      ________      ________
                   14            15             0


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


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


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 2 2


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


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


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


           ALPHA
              I             S             X
              ________      ________      ________
                   16            17             0


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


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


     PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART


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


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


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


     STARTING VALUES FOR LATENT CLASS PATTERN 1 1


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


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


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1             1.464
 Y2             0.000         2.536
 Y3             0.000         0.000         4.193
 Y4             0.000         0.000         0.000         6.260
 X              0.000         0.000         0.000         0.000         0.000


           ALPHA
              I             S             X
              ________      ________      ________
                2.000         1.000         0.000


           BETA
              I             S             X
              ________      ________      ________
 I              0.000         0.000         0.000
 S              0.000         0.000         0.000
 X              0.000         0.000         0.000


           PSI
              I             S             X
              ________      ________      ________
 I              2.818
 S              0.000         0.674
 X              0.000         0.000         0.512


     STARTING VALUES FOR LATENT CLASS PATTERN 1 2


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


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


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1             1.464
 Y2             0.000         2.536
 Y3             0.000         0.000         4.193
 Y4             0.000         0.000         0.000         6.260
 X              0.000         0.000         0.000         0.000         0.000


           ALPHA
              I             S             X
              ________      ________      ________
                0.000         0.000         0.000


           BETA
              I             S             X
              ________      ________      ________
 I              0.000         0.000         0.000
 S              0.000         0.000         0.000
 X              0.000         0.000         0.000


           PSI
              I             S             X
              ________      ________      ________
 I              2.818
 S              0.000         0.674
 X              0.000         0.000         0.512


     STARTING VALUES FOR LATENT CLASS PATTERN 2 1


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


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


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1             1.464
 Y2             0.000         2.536
 Y3             0.000         0.000         4.193
 Y4             0.000         0.000         0.000         6.260
 X              0.000         0.000         0.000         0.000         0.000


           ALPHA
              I             S             X
              ________      ________      ________
                3.000         1.500         0.000


           BETA
              I             S             X
              ________      ________      ________
 I              0.000         0.000         0.000
 S              0.000         0.000         0.000
 X              0.000         0.000         0.000


           PSI
              I             S             X
              ________      ________      ________
 I              2.818
 S              0.000         0.674
 X              0.000         0.000         0.512


     STARTING VALUES FOR LATENT CLASS PATTERN 2 2


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


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


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1             1.464
 Y2             0.000         2.536
 Y3             0.000         0.000         4.193
 Y4             0.000         0.000         0.000         6.260
 X              0.000         0.000         0.000         0.000         0.000


           ALPHA
              I             S             X
              ________      ________      ________
                1.000         0.500         0.000


           BETA
              I             S             X
              ________      ________      ________
 I              0.000         0.000         0.000
 S              0.000         0.000         0.000
 X              0.000         0.000         0.000


           PSI
              I             S             X
              ________      ________      ________
 I              2.818
 S              0.000         0.674
 X              0.000         0.000         0.512


     STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART


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


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


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


TECHNICAL 8 OUTPUT


  INITIAL STAGE ITERATIONS


  TECHNICAL 8 OUTPUT FOR UNPERTURBED STARTING VALUE SET


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.87739244D+04    0.0000000    0.0000000  EM
              2 -0.71096557D+04 1664.2686419    0.1896835  EM
              3 -0.71022013D+04    7.4544489    0.0010485  EM
              4 -0.70934092D+04    8.7920743    0.0012379  EM
              5 -0.70828164D+04   10.5927708    0.0014933  EM
              6 -0.70714885D+04   11.3278981    0.0015993  EM
              7 -0.70617859D+04    9.7026508    0.0013721  EM
              8 -0.70556792D+04    6.1067092    0.0008648  EM
              9 -0.70529233D+04    2.7559198    0.0003906  EM
             10 -0.70519764D+04    0.9468593    0.0001343  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.20656902D+05    0.0000000    0.0000000  EM
              2 -0.71667113D+04 ************    0.6530597  EM
              3 -0.71242012D+04   42.5101281    0.0059316  EM
              4 -0.71221277D+04    2.0735295    0.0002911  EM
              5 -0.71210839D+04    1.0437204    0.0001465  EM
              6 -0.71203473D+04    0.7366896    0.0001035  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.20177954D+05    0.0000000    0.0000000  EM
              2 -0.71403094D+04 ************    0.6461331  EM
              3 -0.71301375D+04   10.1718682    0.0014246  EM
              4 -0.71276582D+04    2.4792725    0.0003477  EM
              5 -0.71263972D+04    1.2610497    0.0001769  EM
              6 -0.71256585D+04    0.7386531    0.0001037  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.14966925D+05    0.0000000    0.0000000  EM
              2 -0.71264817D+04 7840.4437683    0.5238513  EM
              3 -0.71227609D+04    3.7208050    0.0005221  EM
              4 -0.71219645D+04    0.7963587    0.0001118  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.14782554D+05    0.0000000    0.0000000  EM
              2 -0.71400922D+04 7642.4614794    0.5169920  EM
              3 -0.71254658D+04   14.6264080    0.0020485  EM
              4 -0.71238602D+04    1.6055936    0.0002253  EM
              5 -0.71227337D+04    1.1265793    0.0001581  EM
              6 -0.71218549D+04    0.8788055    0.0001234  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.13704976D+05    0.0000000    0.0000000  EM
              2 -0.71300344D+04 6574.9415756    0.4797485  EM
              3 -0.71268286D+04    3.2058370    0.0004496  EM
              4 -0.71261248D+04    0.7037991    0.0000988  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.11555814D+05    0.0000000    0.0000000  EM
              2 -0.71710240D+04 4384.7896298    0.3794445  EM
              3 -0.71281435D+04   42.8805111    0.0059797  EM
              4 -0.71256986D+04    2.4448539    0.0003430  EM
              5 -0.71248002D+04    0.8983690    0.0001261  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.14316007D+05    0.0000000    0.0000000  EM
              2 -0.71400432D+04 7175.9633169    0.5012545  EM
              3 -0.71298337D+04   10.2095421    0.0014299  EM
              4 -0.71272897D+04    2.5439682    0.0003568  EM
              5 -0.71262688D+04    1.0208705    0.0001432  EM
              6 -0.71256908D+04    0.5780015    0.0000811  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.12539442D+05    0.0000000    0.0000000  EM
              2 -0.71686879D+04 5370.7538381    0.4283088  EM
              3 -0.71271418D+04   41.5461314    0.0057955  EM
              4 -0.71240543D+04    3.0874992    0.0004332  EM
              5 -0.71232781D+04    0.7761916    0.0001090  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.15442819D+05    0.0000000    0.0000000  EM
              2 -0.71512573D+04 8291.5617447    0.5369202  EM
              3 -0.71329775D+04   18.2797558    0.0025562  EM
              4 -0.71298319D+04    3.1456159    0.0004410  EM
              5 -0.71280441D+04    1.7877852    0.0002507  EM
              6 -0.71268223D+04    1.2218089    0.0001714  EM
              7 -0.71258803D+04    0.9419567    0.0001322  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.11466845D+05    0.0000000    0.0000000  EM
              2 -0.71753724D+04 4291.4722642    0.3742505  EM
              3 -0.71236191D+04   51.7532935    0.0072126  EM
              4 -0.71213168D+04    2.3023092    0.0003232  EM
              5 -0.71204396D+04    0.8771754    0.0001232  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 11


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.14197606D+05    0.0000000    0.0000000  EM
              2 -0.71693699D+04 7028.2364820    0.4950297  EM
              3 -0.71371642D+04   32.2056984    0.0044921  EM
              4 -0.71312018D+04    5.9624334    0.0008354  EM
              5 -0.71285928D+04    2.6089663    0.0003659  EM
              6 -0.71271563D+04    1.4364977    0.0002015  EM
              7 -0.71262659D+04    0.8904061    0.0001249  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 12


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.11332174D+05    0.0000000    0.0000000  EM
              2 -0.71512444D+04 4180.9295041    0.3689433  EM
              3 -0.71308667D+04   20.3776728    0.0028495  EM
              4 -0.71268266D+04    4.0400542    0.0005666  EM
              5 -0.71255604D+04    1.2662054    0.0001777  EM
              6 -0.71249989D+04    0.5615421    0.0000788  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 13


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.11117933D+05    0.0000000    0.0000000  EM
              2 -0.71420498D+04 3975.8832995    0.3576099  EM
              3 -0.71282227D+04   13.8271218    0.0019360  EM
              4 -0.71271407D+04    1.0819540    0.0001518  EM
              5 -0.71266268D+04    0.5139433    0.0000721  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 14


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.15640701D+05    0.0000000    0.0000000  EM
              2 -0.71418906D+04 8498.8104754    0.5433778  EM
              3 -0.71233348D+04   18.5557434    0.0025982  EM
              4 -0.71224503D+04    0.8845190    0.0001242  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 15


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.15305848D+05    0.0000000    0.0000000  EM
              2 -0.71541896D+04 8151.6588415    0.5325846  EM
              3 -0.71257954D+04   28.3941513    0.0039689  EM
              4 -0.71253250D+04    0.4704737    0.0000660  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 16


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.14844671D+05    0.0000000    0.0000000  EM
              2 -0.71372267D+04 7707.4438060    0.5192061  EM
              3 -0.71292518D+04    7.9749613    0.0011174  EM
              4 -0.71278448D+04    1.4069415    0.0001973  EM
              5 -0.71268491D+04    0.9957254    0.0001397  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 17


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.23602800D+05    0.0000000    0.0000000  EM
              2 -0.71847073D+04 ************    0.6955994  EM
              3 -0.71306309D+04   54.0764382    0.0075266  EM
              4 -0.71285004D+04    2.1304950    0.0002988  EM
              5 -0.71273047D+04    1.1957161    0.0001677  EM
              6 -0.71264656D+04    0.8390186    0.0001177  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 18


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.21153475D+05    0.0000000    0.0000000  EM
              2 -0.71271772D+04 ************    0.6630730  EM
              3 -0.71255128D+04    1.6643103    0.0002335  EM
              4 -0.71252388D+04    0.2740738    0.0000385  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 19


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.20936058D+05    0.0000000    0.0000000  EM
              2 -0.71358718D+04 ************    0.6591588  EM
              3 -0.71014331D+04   34.4386238    0.0048261  EM
              4 -0.70865132D+04   14.9199194    0.0021010  EM
              5 -0.70737202D+04   12.7930553    0.0018053  EM
              6 -0.70636225D+04   10.0976545    0.0014275  EM
              7 -0.70571491D+04    6.4734186    0.0009164  EM
              8 -0.70538431D+04    3.3060067    0.0004685  EM
              9 -0.70524386D+04    1.4045021    0.0001991  EM
             10 -0.70519023D+04    0.5363307    0.0000760  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 20


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.18171725D+05    0.0000000    0.0000000  EM
              2 -0.71211071D+04 ************    0.6081216  EM
              3 -0.71141050D+04    7.0020430    0.0009833  EM
              4 -0.71100465D+04    4.0585876    0.0005705  EM
              5 -0.71044488D+04    5.5976198    0.0007873  EM
              6 -0.70967672D+04    7.6816322    0.0010812  EM
              7 -0.70870161D+04    9.7511193    0.0013740  EM
              8 -0.70763283D+04   10.6877882    0.0015081  EM
              9 -0.70667339D+04    9.5944141    0.0013558  EM
             10 -0.70598046D+04    6.9292394    0.0009805  EM


  FINAL STAGE ITERATIONS


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 19


             10 -0.70519023D+04    0.5363307    0.0000760  EM
             11 -0.70517038D+04    0.1984911    0.0000281  EM
             12 -0.70516289D+04    0.0748387    0.0000106  EM
             13 -0.70515995D+04    0.0293799    0.0000042  EM
             14 -0.70515875D+04    0.0120431    0.0000017  EM
             15 -0.70515824D+04    0.0051249    0.0000007  EM
             16 -0.70515801D+04    0.0022467    0.0000003  EM
             17 -0.70515791D+04    0.0010077    0.0000001  EM
             18 -0.70515787D+04    0.0004599    0.0000001  EM
             19 -0.70515784D+04    0.0002127    0.0000000  EM
             20 -0.70515783D+04    0.0000994    0.0000000  EM
             21 -0.70515783D+04    0.0000468    0.0000000  EM
             22 -0.70515783D+04    0.0000222    0.0000000  EM
             23 -0.70515783D+04    0.0000106    0.0000000  EM
             24 -0.70515783D+04    0.0000050    0.0000000  EM
             25 -0.70515783D+04    0.0000024    0.0000000  EM
             26 -0.70515783D+04    0.0000012    0.0000000  EM
             27 -0.70515783D+04    0.0000006    0.0000000  EM
             28 -0.70515783D+04    0.0000003    0.0000000  EM
             29 -0.70515783D+04    0.0000001    0.0000000  EM
             30 -0.70515783D+04    0.0000001    0.0000000  EM
             31 -0.70515783D+04    0.0000000    0.0000000  EM
             32 -0.70515783D+04    0.0000000    0.0000000  EM
             33 -0.70515783D+04    0.0000000    0.0000000  EM


  TECHNICAL 8 OUTPUT FOR UNPERTURBED STARTING VALUE SET


             10 -0.70519764D+04    0.9468593    0.0001343  EM
             11 -0.70516978D+04    0.2785845    0.0000395  EM
             12 -0.70516180D+04    0.0798146    0.0000113  EM
             13 -0.70515933D+04    0.0247217    0.0000035  EM
             14 -0.70515846D+04    0.0087268    0.0000012  EM
             15 -0.70515811D+04    0.0034839    0.0000005  EM
             16 -0.70515796D+04    0.0015122    0.0000002  EM
             17 -0.70515789D+04    0.0006877    0.0000001  EM
             18 -0.70515785D+04    0.0003202    0.0000000  EM
             19 -0.70515784D+04    0.0001506    0.0000000  EM
             20 -0.70515783D+04    0.0000712    0.0000000  EM
             21 -0.70515783D+04    0.0000338    0.0000000  EM
             22 -0.70515783D+04    0.0000160    0.0000000  EM
             23 -0.70515783D+04    0.0000076    0.0000000  EM
             24 -0.70515783D+04    0.0000036    0.0000000  EM
             25 -0.70515783D+04    0.0000017    0.0000000  EM
             26 -0.70515783D+04    0.0000008    0.0000000  EM
             27 -0.70515783D+04    0.0000004    0.0000000  EM
             28 -0.70515783D+04    0.0000002    0.0000000  EM
             29 -0.70515783D+04    0.0000001    0.0000000  EM
             30 -0.70515783D+04    0.0000000    0.0000000  EM
             31 -0.70515783D+04    0.0000000    0.0000000  EM
             32 -0.70515783D+04    0.0000000    0.0000000  EM
             33 -0.70515783D+04    0.0000000    0.0000000  EM
             34 -0.70515783D+04    0.0000000    0.0000000  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 20


             10 -0.70598046D+04    6.9292394    0.0009805  EM
             11 -0.70556663D+04    4.1383538    0.0005862  EM
             12 -0.70535067D+04    2.1596011    0.0003061  EM
             13 -0.70524671D+04    1.0396119    0.0001474  EM
             14 -0.70519862D+04    0.4809222    0.0000682  EM
             15 -0.70517665D+04    0.2196908    0.0000312  EM
             16 -0.70516659D+04    0.1006153    0.0000143  EM
             17 -0.70516194D+04    0.0464805    0.0000066  EM
             18 -0.70515977D+04    0.0216801    0.0000031  EM
             19 -0.70515875D+04    0.0101956    0.0000014  EM
             20 -0.70515827D+04    0.0048276    0.0000007  EM
             21 -0.70515804D+04    0.0022972    0.0000003  EM
             22 -0.70515793D+04    0.0010974    0.0000002  EM
             23 -0.70515787D+04    0.0005257    0.0000001  EM
             24 -0.70515785D+04    0.0002526    0.0000000  EM
             25 -0.70515784D+04    0.0001214    0.0000000  EM
             26 -0.70515783D+04    0.0000584    0.0000000  EM
             27 -0.70515783D+04    0.0000281    0.0000000  EM
             28 -0.70515783D+04    0.0000135    0.0000000  EM
             29 -0.70515783D+04    0.0000065    0.0000000  EM
             30 -0.70515783D+04    0.0000032    0.0000000  EM
             31 -0.70515783D+04    0.0000015    0.0000000  EM
             32 -0.70515783D+04    0.0000007    0.0000000  EM
             33 -0.70515783D+04    0.0000004    0.0000000  EM
             34 -0.70515783D+04    0.0000002    0.0000000  EM
             35 -0.70515783D+04    0.0000001    0.0000000  EM
             36 -0.70515783D+04    0.0000000    0.0000000  EM
             37 -0.70515783D+04    0.0000000    0.0000000  EM
             38 -0.70515783D+04    0.0000000    0.0000000  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1


              6 -0.71203473D+04    0.7366896    0.0001035  EM
              7 -0.71198209D+04    0.5263686    0.0000739  EM
              8 -0.71194367D+04    0.3841721    0.0000540  EM
              9 -0.71191423D+04    0.2944294    0.0000414  EM
             10 -0.71188993D+04    0.2430279    0.0000341  EM
             11 -0.71186812D+04    0.2180664    0.0000306  EM
             12 -0.71184707D+04    0.2105334    0.0000296  EM
             13 -0.71182564D+04    0.2142681    0.0000301  EM
             14 -0.71180310D+04    0.2253514    0.0000317  EM
             15 -0.71177896D+04    0.2414854    0.0000339  EM
             16 -0.71175282D+04    0.2613858    0.0000367  EM
             17 -0.71172438D+04    0.2843482    0.0000400  EM
             18 -0.71169339D+04    0.3099562    0.0000436  EM
             19 -0.71165960D+04    0.3378822    0.0000475  EM
             20 -0.71162282D+04    0.3677388    0.0000517  EM
             21 -0.71158292D+04    0.3989983    0.0000561  EM
             22 -0.71153984D+04    0.4308769    0.0000606  EM
             23 -0.71149361D+04    0.4623027    0.0000650  EM
             24 -0.71144442D+04    0.4918657    0.0000691  EM
             25 -0.71139264D+04    0.5178267    0.0000728  EM
             26 -0.71133882D+04    0.5381904    0.0000757  EM
             27 -0.71128373D+04    0.5508998    0.0000774  EM
             28 -0.71122833D+04    0.5540184    0.0000779  EM
             29 -0.71117371D+04    0.5461179    0.0000768  EM
             30 -0.71112106D+04    0.5265260    0.0000740  EM
             31 -0.71107150D+04    0.4956279    0.0000697  EM
             32 -0.71102601D+04    0.4549054    0.0000640  EM
             33 -0.71098533D+04    0.4068319    0.0000572  EM
             34 -0.71094988D+04    0.3544816    0.0000499  EM
             35 -0.71091977D+04    0.3011168    0.0000424  EM
             36 -0.71082394D+04    0.9582931    0.0001348  FS
             37 -0.71081197D+04    0.1196628    0.0000168  FS
             38 -0.71080969D+04    0.0227637    0.0000032  FS
             39 -0.71080898D+04    0.0071570    0.0000010  FS
             40 -0.71080875D+04    0.0023264    0.0000003  FS
             41 -0.71080865D+04    0.0009249    0.0000001  FS
             42 -0.71080862D+04    0.0003599    0.0000001  FS
             43 -0.71080860D+04    0.0001513    0.0000000  FS
             44 -0.71080860D+04    0.0000624    0.0000000  FS
             45 -0.71080859D+04    0.0000265    0.0000000  FS
             46 -0.71080859D+04    0.0000112    0.0000000  FS
             47 -0.71080859D+04    0.0000048    0.0000000  FS
             48 -0.71080859D+04    0.0000020    0.0000000  FS
             49 -0.71080859D+04    0.0000009    0.0000000  FS
             50 -0.71080859D+04    0.0000004    0.0000000  FS
             51 -0.71080859D+04    0.0000002    0.0000000  FS
             52 -0.71080859D+04    0.0000001    0.0000000  FS
             53 -0.71080859D+04    0.0000000    0.0000000  EM
             54 -0.71080859D+04    0.0000000    0.0000000  EM

Available post-processing tools

  Conditional probabilities and odds for the latent class variables

     Beginning Time:  23:17:41
        Ending Time:  23:17:41
       Elapsed Time:  00:00:00



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