Mplus VERSION 7.2
MUTHEN & MUTHEN
05/07/2014   2:33 PM

INPUT INSTRUCTIONS

  TITLE:	this is an example of a two-level growth
          model for a continuous outcome (three-level analysis)
          with a between-level  categorical latent variable
  DATA:	FILE = ex10.8.dat;
  VARIABLE:	NAMES ARE y1-y4 x w dummy clus;
  	USEVARIABLES = y1-w;
  	CLASSES = cb(2);
  	WITHIN = x;
  	BETWEEN = cb w;
  	CLUSTER = clus;
  ANALYSIS:	TYPE IS TWOLEVEL MIXTURE RANDOM;
  	PROCESSORS = 2;
  MODEL:
  	%WITHIN%
  	%OVERALL%
  	iw sw | y1@0 y2@1 y3@2 y4@3;
  	y1-y4 (1);
  	iw ON x;
  	sw ON x iw;
  	%cb#1%
  	sw ON iw;
  	%cb#2%
  	sw ON iw;
  	%BETWEEN%
  	%OVERALL%
  	ib sb | y1@0 y2@1 y3@2 y4@3;
  	y1-y4@0;
  	ib sb ON w;
  	cb ON w;
  	%cb#1%
  	[ib sb];
  	%cb#2%
  	[ib sb];
  OUTPUT:	TECH1 TECH8;




INPUT READING TERMINATED NORMALLY



this is an example of a two-level growth
model for a continuous outcome (three-level analysis)
with a between-level  categorical latent variable

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                        2000

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

Observed dependent variables

  Continuous
   Y1          Y2          Y3          Y4

Observed independent variables
   X           W

Continuous latent variables
   IW          SW          IB          SB

Categorical latent variables
   CB

Variables with special functions

  Cluster variable      CLUS

  Within variables
   X

  Between variables
   W


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

Input data file(s)
  ex10.8.dat
Input data format  FREE


SUMMARY OF DATA

     Number of clusters                        100



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:

          -13129.017  903420           5
          -13129.037  285380           1
          -13129.037  533738           11
          -13129.037  107446           12



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                       18

Loglikelihood

          H0 Value                      -13129.017
          H0 Scaling Correction Factor      0.9740
            for MLR

Information Criteria

          Akaike (AIC)                   26294.034
          Bayesian (BIC)                 26394.850
          Sample-Size Adjusted BIC       26337.663
            (n* = (n + 2) / 24)



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

    Latent
   Classes

       1        977.05492          0.48853
       2       1022.94508          0.51147


CLASSIFICATION QUALITY

     Entropy                         0.990


CLASSIFICATION OF INDIVIDUALS BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP

Class Counts and Proportions

    Latent
   Classes

       1              980          0.49000
       2             1020          0.51000


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

           1        2

    1   0.997    0.003
    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   0.003    0.997


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

              1        2

    1      7.744    0.000
    2     -5.713    0.000


MODEL RESULTS

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

Within Level

Latent Class 1

 IW       |
    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

 SW       |
    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

 SW         ON
    IW                -0.052      0.026     -1.998      0.046

 IW         ON
    X                  0.996      0.027     36.215      0.000

 SW         ON
    X                  0.233      0.032      7.278      0.000

 Residual Variances
    Y1                 0.495      0.010     50.339      0.000
    Y2                 0.495      0.010     50.339      0.000
    Y3                 0.495      0.010     50.339      0.000
    Y4                 0.495      0.010     50.339      0.000
    IW                 0.983      0.043     22.638      0.000
    SW                 0.548      0.020     27.974      0.000

Latent Class 2

 IW       |
    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

 SW       |
    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

 SW         ON
    IW                 0.483      0.032     15.178      0.000

 IW         ON
    X                  0.996      0.027     36.215      0.000

 SW         ON
    X                  0.233      0.032      7.278      0.000

 Residual Variances
    Y1                 0.495      0.010     50.339      0.000
    Y2                 0.495      0.010     50.339      0.000
    Y3                 0.495      0.010     50.339      0.000
    Y4                 0.495      0.010     50.339      0.000
    IW                 0.983      0.043     22.638      0.000
    SW                 0.548      0.020     27.974      0.000

Between Level

Latent Class 1

 IB       |
    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

 SB       |
    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

 IB         ON
    W                  0.602      0.081      7.472      0.000

 SB         ON
    W                  0.271      0.055      4.897      0.000

 SB       WITH
    IB                -0.008      0.031     -0.260      0.795

 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
    IB                 1.663      0.107     15.499      0.000
    SB                 1.406      0.075     18.718      0.000

 Residual Variances
    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
    IB                 0.470      0.062      7.593      0.000
    SB                 0.185      0.035      5.291      0.000

Latent Class 2

 IB       |
    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

 SB       |
    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

 IB         ON
    W                  0.602      0.081      7.472      0.000

 SB         ON
    W                  0.271      0.055      4.897      0.000

 SB       WITH
    IB                -0.008      0.031     -0.260      0.795

 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
    IB                 0.051      0.111      0.463      0.643
    SB                -0.057      0.067     -0.856      0.392

 Residual Variances
    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
    IB                 0.470      0.062      7.593      0.000
    SB                 0.185      0.035      5.291      0.000

Categorical Latent Variables

Within Level

Between Level

 CB#1       ON
    W                 -1.188      0.292     -4.072      0.000

 Intercepts
    CB#1               0.047      0.228      0.206      0.837


ALTERNATIVE PARAMETERIZATIONS FOR THE CATEGORICAL LATENT VARIABLE REGRESSION

Parameterization using Reference Class 1

 CB#2     ON
    W                  1.188      0.292      4.072      0.000

 Intercepts
    CB#2              -0.047      0.228     -0.206      0.837


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.175E-03
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR WITHIN LEVEL, LATENT CLASS 1


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


           NU
              W
              ________
 1                  0


           LAMBDA
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 Y1                 0             0             0             0             0
 Y2                 0             0             0             0             0
 Y3                 0             0             0             0             0
 Y4                 0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           LAMBDA
              X             W
              ________      ________
 Y1                 0             0
 Y2                 0             0
 Y3                 0             0
 Y4                 0             0
 X                  0             0
 W                  0             0


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1                 1
 Y2                 0             1
 Y3                 0             0             1
 Y4                 0             0             0             1
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           THETA
              W
              ________
 W                  0


           ALPHA
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           ALPHA
              X             W
              ________      ________
 1                  0             0


           BETA
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 IW                 0             0             0             0             0
 SW                 3             0             0             0             0
 CB#1               0             0             0             0             0
 IB                 0             0             0             0             0
 SB                 0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           BETA
              X             W
              ________      ________
 IW                 2             0
 SW                 4             0
 CB#1               0             0
 IB                 0             0
 SB                 0             0
 X                  0             0
 W                  0             0


           PSI
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 IW                 5
 SW                 0             6
 CB#1               0             0             0
 IB                 0             0             0             0
 SB                 0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           PSI
              X             W
              ________      ________
 X                  0
 W                  0             0


     PARAMETER SPECIFICATION FOR WITHIN LEVEL, LATENT CLASS 2


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


           NU
              W
              ________
 1                  0


           LAMBDA
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 Y1                 0             0             0             0             0
 Y2                 0             0             0             0             0
 Y3                 0             0             0             0             0
 Y4                 0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           LAMBDA
              X             W
              ________      ________
 Y1                 0             0
 Y2                 0             0
 Y3                 0             0
 Y4                 0             0
 X                  0             0
 W                  0             0


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1                 1
 Y2                 0             1
 Y3                 0             0             1
 Y4                 0             0             0             1
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           THETA
              W
              ________
 W                  0


           ALPHA
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           ALPHA
              X             W
              ________      ________
 1                  0             0


           BETA
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 IW                 0             0             0             0             0
 SW                 7             0             0             0             0
 CB#1               0             0             0             0             0
 IB                 0             0             0             0             0
 SB                 0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           BETA
              X             W
              ________      ________
 IW                 2             0
 SW                 4             0
 CB#1               0             0
 IB                 0             0
 SB                 0             0
 X                  0             0
 W                  0             0


           PSI
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 IW                 5
 SW                 0             6
 CB#1               0             0             0
 IB                 0             0             0             0
 SB                 0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           PSI
              X             W
              ________      ________
 X                  0
 W                  0             0


     PARAMETER SPECIFICATION FOR BETWEEN LEVEL, LATENT CLASS 1


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


           NU
              W
              ________
 1                  0


           LAMBDA
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 Y1                 0             0             0             0             0
 Y2                 0             0             0             0             0
 Y3                 0             0             0             0             0
 Y4                 0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           LAMBDA
              X             W
              ________      ________
 Y1                 0             0
 Y2                 0             0
 Y3                 0             0
 Y4                 0             0
 X                  0             0
 W                  0             0


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1                 0
 Y2                 0             0
 Y3                 0             0             0
 Y4                 0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           THETA
              W
              ________
 W                  0


           ALPHA
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 1                  0             0             0             8             9


           ALPHA
              X             W
              ________      ________
 1                  0             0


           BETA
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 IW                 0             0             0             0             0
 SW                 0             0             0             0             0
 CB#1               0             0             0             0             0
 IB                 0             0             0             0             0
 SB                 0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           BETA
              X             W
              ________      ________
 IW                 0             0
 SW                 0             0
 CB#1               0             0
 IB                 0            10
 SB                 0            11
 X                  0             0
 W                  0             0


           PSI
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 IW                 0
 SW                 0             0
 CB#1               0             0             0
 IB                 0             0             0            12
 SB                 0             0             0            13            14
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           PSI
              X             W
              ________      ________
 X                  0
 W                  0             0


     PARAMETER SPECIFICATION FOR BETWEEN LEVEL, LATENT CLASS 2


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


           NU
              W
              ________
 1                  0


           LAMBDA
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 Y1                 0             0             0             0             0
 Y2                 0             0             0             0             0
 Y3                 0             0             0             0             0
 Y4                 0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           LAMBDA
              X             W
              ________      ________
 Y1                 0             0
 Y2                 0             0
 Y3                 0             0
 Y4                 0             0
 X                  0             0
 W                  0             0


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1                 0
 Y2                 0             0
 Y3                 0             0             0
 Y4                 0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           THETA
              W
              ________
 W                  0


           ALPHA
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 1                  0             0             0            15            16


           ALPHA
              X             W
              ________      ________
 1                  0             0


           BETA
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 IW                 0             0             0             0             0
 SW                 0             0             0             0             0
 CB#1               0             0             0             0             0
 IB                 0             0             0             0             0
 SB                 0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           BETA
              X             W
              ________      ________
 IW                 0             0
 SW                 0             0
 CB#1               0             0
 IB                 0            10
 SB                 0            11
 X                  0             0
 W                  0             0


           PSI
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 IW                 0
 SW                 0             0
 CB#1               0             0             0
 IB                 0             0             0            12
 SB                 0             0             0            13            14
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           PSI
              X             W
              ________      ________
 X                  0
 W                  0             0


     PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART (WITHIN)


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


           GAMMA(C)
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 CB#1               0             0             0             0             0
 CB#2               0             0             0             0             0


           GAMMA(C)
              X             W
              ________      ________
 CB#1               0             0
 CB#2               0             0


     PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART (BETWEEN)


           ALPHA(C)
              CB#1          CB#2
              ________      ________
 1                 17             0


           GAMMA(C)
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 CB#1               0             0             0             0             0
 CB#2               0             0             0             0             0


           GAMMA(C)
              X             W
              ________      ________
 CB#1               0            18
 CB#2               0             0


     STARTING VALUES FOR WITHIN LEVEL, LATENT CLASS 1


           NU
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           NU
              W
              ________
 1              0.000


           LAMBDA
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 Y1             1.000         0.000         0.000         0.000         0.000
 Y2             1.000         1.000         0.000         0.000         0.000
 Y3             1.000         2.000         0.000         0.000         0.000
 Y4             1.000         3.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           LAMBDA
              X             W
              ________      ________
 Y1             0.000         0.000
 Y2             0.000         0.000
 Y3             0.000         0.000
 Y4             0.000         0.000
 X              1.000         0.000
 W              0.000         1.000


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1             1.753
 Y2             0.000         3.743
 Y3             0.000         0.000         7.157
 Y4             0.000         0.000         0.000        12.278
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           THETA
              W
              ________
 W              0.000


           ALPHA
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           ALPHA
              X             W
              ________      ________
 1              0.000         0.000


           BETA
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 IW             0.000         0.000         0.000         0.000         0.000
 SW             0.000         0.000         0.000         0.000         0.000
 CB#1           0.000         0.000         0.000         0.000         0.000
 IB             0.000         0.000         0.000         0.000         0.000
 SB             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           BETA
              X             W
              ________      ________
 IW             0.000         0.000
 SW             0.000         0.000
 CB#1           0.000         0.000
 IB             0.000         0.000
 SB             0.000         0.000
 X              0.000         0.000
 W              0.000         0.000


           PSI
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 IW             0.050
 SW             0.000         0.050
 CB#1           0.000         0.000         0.000
 IB             0.000         0.000         0.000         0.000
 SB             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           PSI
              X             W
              ________      ________
 X              0.518
 W              0.000         0.000


     STARTING VALUES FOR WITHIN LEVEL, LATENT CLASS 2


           NU
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           NU
              W
              ________
 1              0.000


           LAMBDA
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 Y1             1.000         0.000         0.000         0.000         0.000
 Y2             1.000         1.000         0.000         0.000         0.000
 Y3             1.000         2.000         0.000         0.000         0.000
 Y4             1.000         3.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           LAMBDA
              X             W
              ________      ________
 Y1             0.000         0.000
 Y2             0.000         0.000
 Y3             0.000         0.000
 Y4             0.000         0.000
 X              1.000         0.000
 W              0.000         1.000


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1             1.753
 Y2             0.000         3.743
 Y3             0.000         0.000         7.157
 Y4             0.000         0.000         0.000        12.278
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           THETA
              W
              ________
 W              0.000


           ALPHA
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           ALPHA
              X             W
              ________      ________
 1              0.000         0.000


           BETA
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 IW             0.000         0.000         0.000         0.000         0.000
 SW             0.000         0.000         0.000         0.000         0.000
 CB#1           0.000         0.000         0.000         0.000         0.000
 IB             0.000         0.000         0.000         0.000         0.000
 SB             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           BETA
              X             W
              ________      ________
 IW             0.000         0.000
 SW             0.000         0.000
 CB#1           0.000         0.000
 IB             0.000         0.000
 SB             0.000         0.000
 X              0.000         0.000
 W              0.000         0.000


           PSI
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 IW             0.050
 SW             0.000         0.050
 CB#1           0.000         0.000         0.000
 IB             0.000         0.000         0.000         0.000
 SB             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           PSI
              X             W
              ________      ________
 X              0.518
 W              0.000         0.000


     STARTING VALUES FOR BETWEEN LEVEL, LATENT CLASS 1


           NU
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           NU
              W
              ________
 1              0.000


           LAMBDA
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 Y1             0.000         0.000         0.000         1.000         0.000
 Y2             0.000         0.000         0.000         1.000         1.000
 Y3             0.000         0.000         0.000         1.000         2.000
 Y4             0.000         0.000         0.000         1.000         3.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           LAMBDA
              X             W
              ________      ________
 Y1             0.000         0.000
 Y2             0.000         0.000
 Y3             0.000         0.000
 Y4             0.000         0.000
 X              1.000         0.000
 W              0.000         1.000


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1             0.000
 Y2             0.000         0.000
 Y3             0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           THETA
              W
              ________
 W              0.000


           ALPHA
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           ALPHA
              X             W
              ________      ________
 1              0.000         0.000


           BETA
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 IW             0.000         0.000         0.000         0.000         0.000
 SW             0.000         0.000         0.000         0.000         0.000
 CB#1           0.000         0.000         0.000         0.000         0.000
 IB             0.000         0.000         0.000         0.000         0.000
 SB             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           BETA
              X             W
              ________      ________
 IW             0.000         0.000
 SW             0.000         0.000
 CB#1           0.000         0.000
 IB             0.000         0.000
 SB             0.000         0.000
 X              0.000         0.000
 W              0.000         0.000


           PSI
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 IW             0.000
 SW             0.000         0.000
 CB#1           0.000         0.000         0.000
 IB             0.000         0.000         0.000         0.050
 SB             0.000         0.000         0.000         0.000         0.050
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           PSI
              X             W
              ________      ________
 X              0.000
 W              0.000         0.495


     STARTING VALUES FOR BETWEEN LEVEL, LATENT CLASS 2


           NU
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           NU
              W
              ________
 1              0.000


           LAMBDA
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 Y1             0.000         0.000         0.000         1.000         0.000
 Y2             0.000         0.000         0.000         1.000         1.000
 Y3             0.000         0.000         0.000         1.000         2.000
 Y4             0.000         0.000         0.000         1.000         3.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           LAMBDA
              X             W
              ________      ________
 Y1             0.000         0.000
 Y2             0.000         0.000
 Y3             0.000         0.000
 Y4             0.000         0.000
 X              1.000         0.000
 W              0.000         1.000


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1             0.000
 Y2             0.000         0.000
 Y3             0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           THETA
              W
              ________
 W              0.000


           ALPHA
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           ALPHA
              X             W
              ________      ________
 1              0.000         0.000


           BETA
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 IW             0.000         0.000         0.000         0.000         0.000
 SW             0.000         0.000         0.000         0.000         0.000
 CB#1           0.000         0.000         0.000         0.000         0.000
 IB             0.000         0.000         0.000         0.000         0.000
 SB             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           BETA
              X             W
              ________      ________
 IW             0.000         0.000
 SW             0.000         0.000
 CB#1           0.000         0.000
 IB             0.000         0.000
 SB             0.000         0.000
 X              0.000         0.000
 W              0.000         0.000


           PSI
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 IW             0.000
 SW             0.000         0.000
 CB#1           0.000         0.000         0.000
 IB             0.000         0.000         0.000         0.050
 SB             0.000         0.000         0.000         0.000         0.050
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           PSI
              X             W
              ________      ________
 X              0.000
 W              0.000         0.495


     STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART (WITHIN)


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


           GAMMA(C)
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 CB#1           0.000         0.000         0.000         0.000         0.000
 CB#2           0.000         0.000         0.000         0.000         0.000


           GAMMA(C)
              X             W
              ________      ________
 CB#1           0.000         0.000
 CB#2           0.000         0.000


     STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART (BETWEEN)


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


           GAMMA(C)
              IW            SW            CB#1          IB            SB
              ________      ________      ________      ________      ________
 CB#1           0.000         0.000         0.000         0.000         0.000
 CB#2           0.000         0.000         0.000         0.000         0.000


           GAMMA(C)
              X             W
              ________      ________
 CB#1           0.000         0.000
 CB#2           0.000         0.000


TECHNICAL 8 OUTPUT


  INITIAL STAGE ITERATIONS


  TECHNICAL 8 OUTPUT FOR UNPERTURBED STARTING VALUE SET


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.20386596D+05    0.0000000    0.0000000   1000.000  1000.000    EM
     2 -0.13725665D+05 6660.9304835    0.3267309   1000.000  1000.000    EM
     3 -0.13625446D+05  100.2193035    0.0073016   1000.000  1000.000    EM
     4 -0.13532081D+05   93.3653144    0.0068523   1000.000  1000.000    EM
     5 -0.13422077D+05  110.0037350    0.0081291   1000.000  1000.000    EM
     6 -0.13341564D+05   80.5131162    0.0059986   1000.000  1000.000    EM
     7 -0.13309971D+05   31.5923903    0.0023680   1000.000  1000.000    EM
     8 -0.13302677D+05    7.2941806    0.0005480   1000.000  1000.000    EM
     9 -0.13301987D+05    0.6905166    0.0000519   1000.000  1000.000    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.26105604D+05    0.0000000    0.0000000     61.828  1938.172    EM
     2 -0.15609680D+05 ************    0.4020563     42.273  1957.727    EM
     3 -0.14914647D+05  695.0337303    0.0445258     48.240  1951.760    EM
     4 -0.14531974D+05  382.6727091    0.0256575     58.793  1941.207    EM
     5 -0.14084785D+05  447.1890787    0.0307728    171.064  1828.936    EM
     6 -0.13678980D+05  405.8044940    0.0288116    244.708  1755.292    EM
     7 -0.13390738D+05  288.2422693    0.0210719    396.404  1603.596    EM
     8 -0.13256740D+05  133.9984862    0.0100068    717.688  1282.312    EM
     9 -0.13172987D+05   83.7530515    0.0063178    920.196  1079.804    EM
    10 -0.13138986D+05   34.0005532    0.0025811    971.395  1028.605    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.45543690D+05    0.0000000    0.0000000      0.000  2000.000    EM
     2 -0.14522156D+05 ************    0.6811379      0.000  2000.000    EM
     3 -0.14110751D+05  411.4055416    0.0283295      0.322  1999.678    EM
     4 -0.13857999D+05  252.7519352    0.0179120      2.876  1997.124    EM
     5 -0.13570888D+05  287.1105984    0.0207180     18.450  1981.550    EM
     6 -0.13372759D+05  198.1296122    0.0145996     56.487  1943.513    EM
     7 -0.13300952D+05   71.8071158    0.0053697    151.847  1848.153    EM
     8 -0.13277225D+05   23.7266884    0.0017838    302.612  1697.388    EM
     9 -0.13234927D+05   42.2979796    0.0031858    628.373  1371.627    EM
    10 -0.13173605D+05   61.3218734    0.0046333    885.283  1114.717    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.28914515D+05    0.0000000    0.0000000      0.000  2000.000    EM
     2 -0.14175237D+05 ************    0.5097536      0.000  2000.000    EM
     3 -0.13884406D+05  290.8311864    0.0205168      0.000  2000.000    EM
     4 -0.13620380D+05  264.0260423    0.0190160      0.000  2000.000    EM
     5 -0.13394951D+05  225.4287019    0.0165508      0.000  2000.000    EM
     6 -0.13309256D+05   85.6958702    0.0063976      0.000  2000.000    EM
     7 -0.13302307D+05    6.9482359    0.0005221      0.000  2000.000    EM
     8 -0.13302550D+05   -0.2426155   -0.0000182      0.000  2000.000    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.26446542D+05    0.0000000    0.0000000   1899.077   100.923    EM
     2 -0.16507118D+05 9939.4245490    0.3758308   1640.456   359.544    EM
     3 -0.15921863D+05  585.2553279    0.0354547   1490.836   509.164    EM
     4 -0.15698259D+05  223.6033798    0.0140438   1250.220   749.780    EM
     5 -0.15546883D+05  151.3766716    0.0096429   1125.589   874.411    EM
     6 -0.15409467D+05  137.4151379    0.0088388   1056.314   943.686    EM
     7 -0.15273054D+05  136.4130896    0.0088526   1006.734   993.266    EM
     8 -0.15134131D+05  138.9236067    0.0090960    960.946  1039.054    EM
     9 -0.14987716D+05  146.4148869    0.0096745    923.272  1076.728    EM
    10 -0.14829543D+05  158.1725151    0.0105535    894.669  1105.331    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.88948277D+05    0.0000000    0.0000000   1516.554   483.446    EM
     2 -0.14940878D+05 ************    0.8320273   1693.201   306.799    EM
     3 -0.14073289D+05  867.5886262    0.0580681   1548.240   451.760    EM
     4 -0.13533687D+05  539.6017609    0.0383423   1211.910   788.090    EM
     5 -0.13215801D+05  317.8867932    0.0234886   1004.572   995.428    EM
     6 -0.13136721D+05   79.0801821    0.0059838    977.230  1022.770    EM
     7 -0.13129720D+05    7.0006317    0.0005329    976.996  1023.004    EM
     8 -0.13129045D+05    0.6749960    0.0000514    977.040  1022.960    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.39409772D+05    0.0000000    0.0000000   2000.000     0.000    EM
     2 -0.17076773D+05 ************    0.5666868   1815.743   184.257    EM
     3 -0.20671281D+05 ************   -0.2104910   1672.614   327.386    EM
     4 -0.16130872D+05 4540.4092122    0.2196482   1936.091    63.909    EM
     5 -0.15157204D+05  973.6674305    0.0603605   2000.000     0.000    EM
     6 -0.14732385D+05  424.8195891    0.0280276   2000.000     0.000    EM
     7 -0.14300733D+05  431.6516595    0.0292995   2000.000     0.000    EM
     8 -0.13825572D+05  475.1605641    0.0332263   2000.000     0.000    EM
     9 -0.13442316D+05  383.2561762    0.0277208   2000.000     0.000    EM
    10 -0.13314096D+05  128.2200011    0.0095385   2000.000     0.000    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.48903826D+05    0.0000000    0.0000000    778.280  1221.720    EM
     2 -0.16614504D+05 ************    0.6602617   1180.313   819.687    EM
     3 -0.15749713D+05  864.7905670    0.0520503   1176.058   823.942    EM
     4 -0.15484700D+05  265.0136189    0.0168266   1107.354   892.646    EM
     5 -0.15296838D+05  187.8612676    0.0121321   1089.047   910.953    EM
     6 -0.15145132D+05  151.7059737    0.0099175   1081.628   918.372    EM
     7 -0.15004708D+05  140.4239884    0.0092719   1085.393   914.607    EM
     8 -0.14864456D+05  140.2528541    0.0093473   1094.589   905.411    EM
     9 -0.14721213D+05  143.2424987    0.0096366   1100.529   899.471    EM
    10 -0.14572358D+05  148.8549629    0.0101116   1102.649   897.351    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.21555895D+05    0.0000000    0.0000000   1024.120   975.880    EM
     2 -0.15729220D+05 5826.6749591    0.2703054   1017.814   982.186    EM
     3 -0.15577816D+05  151.4040859    0.0096257    980.095  1019.905    EM
     4 -0.15429261D+05  148.5543812    0.0095363    954.466  1045.534    EM
     5 -0.15276046D+05  153.2151356    0.0099302    969.276  1030.724    EM
     6 -0.15113624D+05  162.4225314    0.0106325   1000.591   999.409    EM
     7 -0.14936536D+05  177.0878453    0.0117171   1025.202   974.798    EM
     8 -0.14741479D+05  195.0570399    0.0130591   1037.556   962.444    EM
     9 -0.14520647D+05  220.8321186    0.0149803   1036.210   963.790    EM
    10 -0.14256447D+05  264.1992746    0.0181947   1012.438   987.562    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.42037802D+05    0.0000000    0.0000000   1992.633     7.367    EM
     2 -0.16471887D+05 ************    0.6081649   1697.917   302.083    EM
     3 -0.16091254D+05  380.6329170    0.0231080   1402.817   597.183    EM
     4 -0.15896418D+05  194.8363235    0.0121082   1124.911   875.089    EM
     5 -0.15829513D+05   66.9042297    0.0042088   1150.128   849.872    EM
     6 -0.15754351D+05   75.1623237    0.0047482   1102.252   897.748    EM
     7 -0.15664955D+05   89.3960952    0.0056744   1063.017   936.983    EM
     8 -0.15561757D+05  103.1984298    0.0065879   1041.875   958.125    EM
     9 -0.15442224D+05  119.5321981    0.0076812   1030.788   969.212    EM
    10 -0.15301482D+05  140.7424234    0.0091141   1023.408   976.592    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.24752463D+05    0.0000000    0.0000000   1979.950    20.050    EM
     2 -0.16119243D+05 8633.2198116    0.3487822   1513.849   486.151    EM
     3 -0.15821757D+05  297.4867004    0.0184554   1307.145   692.855    EM
     4 -0.15625066D+05  196.6902783    0.0124316   1262.773   737.227    EM
     5 -0.15528496D+05   96.5708068    0.0061805   1255.719   744.281    EM
     6 -0.15454733D+05   73.7630580    0.0047502   1259.970   740.030    EM
     7 -0.15381363D+05   73.3695618    0.0047474   1267.834   732.166    EM
     8 -0.15303778D+05   77.5851329    0.0050441   1276.558   723.442    EM
     9 -0.15220799D+05   82.9787582    0.0054221   1285.873   714.127    EM
    10 -0.15132031D+05   88.7677482    0.0058320   1295.773   704.227    EM


  FINAL STAGE ITERATIONS


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5




  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.88948277D+05    0.0000000    0.0000000   1516.554   483.446    EM
     2 -0.14940878D+05 ************    0.8320273   1693.201   306.799    EM
     3 -0.14073289D+05  867.5886262    0.0580681   1548.240   451.760    EM
     4 -0.13533687D+05  539.6017609    0.0383423   1211.910   788.090    EM
     5 -0.13215801D+05  317.8867932    0.0234886   1004.572   995.428    EM
     6 -0.13136721D+05   79.0801821    0.0059838    977.230  1022.770    EM
     7 -0.13129720D+05    7.0006317    0.0005329    976.996  1023.004    EM
     8 -0.13129045D+05    0.6749960    0.0000514    977.040  1022.960    EM
     9 -0.13129018D+05    0.0270562    0.0000021    977.066  1022.934    EM
    10 -0.13129017D+05    0.0008422    0.0000001    977.055  1022.945    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1




  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.26105604D+05    0.0000000    0.0000000     61.828  1938.172    EM
     2 -0.15609680D+05 ************    0.4020563     42.273  1957.727    EM
     3 -0.14914647D+05  695.0337303    0.0445258     48.240  1951.760    EM
     4 -0.14531974D+05  382.6727091    0.0256575     58.793  1941.207    EM
     5 -0.14084785D+05  447.1890787    0.0307728    171.064  1828.936    EM
     6 -0.13678980D+05  405.8044940    0.0288116    244.708  1755.292    EM
     7 -0.13390738D+05  288.2422693    0.0210719    396.404  1603.596    EM
     8 -0.13256740D+05  133.9984862    0.0100068    717.688  1282.312    EM
     9 -0.13172987D+05   83.7530515    0.0063178    920.196  1079.804    EM
    10 -0.13138986D+05   34.0005532    0.0025811    971.395  1028.605    EM
    11 -0.13131971D+05    7.0149240    0.0005339    975.742  1024.258    EM
    12 -0.13129590D+05    2.3807856    0.0001813    976.464  1023.536    EM
    13 -0.13129046D+05    0.5447829    0.0000415    976.600  1023.400    EM
    14 -0.13129037D+05    0.0080725    0.0000006    976.609  1023.391    EM
    15 -0.13129037D+05    0.0000769    0.0000000    976.610  1023.390    EM


     Beginning Time:  14:33:37
        Ending Time:  14:33:59
       Elapsed Time:  00:00:22



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