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




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                    0.880       0.081      -5.018    0.05%      -0.781      0.389      0.885
            2000.000       3.506      -0.121       7.245    0.05%       1.363      2.427
     Y2                    1.576      -0.203      -7.083    0.05%      -0.773      1.054      1.726
            2000.000       7.485      -0.206      10.102    0.05%       2.398      3.987
     Y3                    2.260      -0.288     -11.603    0.05%      -1.106      1.611      2.534
            2000.000      14.315      -0.189      14.311    0.05%       3.512      5.495
     Y4                    2.911      -0.329     -15.525    0.05%      -1.317      2.087      3.404
            2000.000      24.555      -0.080      18.619    0.05%       4.637      7.136
     X                     0.000      -0.056      -3.052    0.05%      -0.889     -0.254      0.035
            2000.000       1.036      -0.288       3.274    0.05%       0.281      0.883
     W                     0.086      -0.016      -2.583    1.00%      -0.852     -0.159      0.156
             100.000       0.989      -0.112       2.696    1.00%       0.321      0.896

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  107446           12
          -13129.037  533738           11



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 CLASSES
BASED ON ESTIMATED POSTERIOR PROBABILITIES

    Latent
   Classes

       1        977.05492          0.48853
       2       1022.94508          0.51147


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

Class Counts and Proportions

    Latent
   Classes

       1              980          0.49000
       2             1020          0.51000


CLASSIFICATION QUALITY

     Entropy                         0.990


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


QUALITY OF NUMERICAL RESULTS

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


ALTERNATIVE PARAMETERIZATIONS FOR THE CATEGORICAL LATENT VARIABLE REGRESSION

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

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


ODDS RATIO FOR THE ALTERNATIVE PARAMETERIZATIONS FOR THE CATEGORICAL LATENT VARIABLE REGRESSION

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

Parameterization using Reference Class 1

 CB#2     ON
    W                  3.281      0.957      1.852      5.812


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR WITHIN LEVEL, LATENT CLASS 1


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


           NU
              W
              ________
                    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
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           ALPHA
              X             W
              ________      ________
                    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
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           NU
              W
              ________
                    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
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           ALPHA
              X             W
              ________      ________
                    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
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           NU
              W
              ________
                    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
              ________      ________      ________      ________      ________
                    0             0             0             8             9


           ALPHA
              X             W
              ________      ________
                    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
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           NU
              W
              ________
                    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
              ________      ________      ________      ________      ________
                    0             0             0            15            16


           ALPHA
              X             W
              ________      ________
                    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
              ________      ________
                    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
              ________      ________
                   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
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           NU
              W
              ________
                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
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           ALPHA
              X             W
              ________      ________
                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
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           NU
              W
              ________
                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
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           ALPHA
              X             W
              ________      ________
                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
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           NU
              W
              ________
                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
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           ALPHA
              X             W
              ________      ________
                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
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           NU
              W
              ________
                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
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           ALPHA
              X             W
              ________      ________
                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
              ________      ________
                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
              ________      ________
                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


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


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.26105604D+05    0.0000000    0.0000000  EM
              2 -0.15609680D+05 ************    0.4020563  EM
              3 -0.14914647D+05  695.0337303    0.0445258  EM
              4 -0.14531974D+05  382.6727091    0.0256575  EM
              5 -0.14084785D+05  447.1890787    0.0307728  EM
              6 -0.13678980D+05  405.8044937    0.0288116  EM
              7 -0.13390738D+05  288.2422674    0.0210719  EM
              8 -0.13256740D+05  133.9985267    0.0100068  EM
              9 -0.13172987D+05   83.7531000    0.0063178  EM
             10 -0.13138986D+05   34.0004705    0.0025811  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.45543690D+05    0.0000000    0.0000000  EM
              2 -0.14522156D+05 ************    0.6811379  EM
              3 -0.14110751D+05  411.4055421    0.0283295  EM
              4 -0.13857999D+05  252.7519260    0.0179120  EM
              5 -0.13570888D+05  287.1106647    0.0207180  EM
              6 -0.13372759D+05  198.1296174    0.0145996  EM
              7 -0.13300952D+05   71.8070277    0.0053696  EM
              8 -0.13277225D+05   23.7266939    0.0017838  EM
              9 -0.13234927D+05   42.2979587    0.0031858  EM
             10 -0.13173605D+05   61.3221092    0.0046334  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.28914515D+05    0.0000000    0.0000000  EM
              2 -0.14175764D+05 ************    0.5097354  EM
              3 -0.13885208D+05  290.5562503    0.0204967  EM
              4 -0.13620029D+05  265.1785610    0.0190979  EM
              5 -0.13390244D+05  229.7849267    0.0168711  EM
              6 -0.13304288D+05   85.9558941    0.0064193  EM
              7 -0.13278124D+05   26.1642043    0.0019666  EM
              8 -0.13255071D+05   23.0527502    0.0017361  EM
              9 -0.13224566D+05   30.5052842    0.0023014  EM
             10 -0.13185172D+05   39.3936717    0.0029788  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.26446542D+05    0.0000000    0.0000000  EM
              2 -0.16507118D+05 9939.4245490    0.3758308  EM
              3 -0.15921863D+05  585.2553280    0.0354547  EM
              4 -0.15698259D+05  223.6033802    0.0140438  EM
              5 -0.15546883D+05  151.3766718    0.0096429  EM
              6 -0.15409467D+05  137.4151382    0.0088388  EM
              7 -0.15273054D+05  136.4130899    0.0088526  EM
              8 -0.15134131D+05  138.9236078    0.0090960  EM
              9 -0.14987716D+05  146.4149019    0.0096745  EM
             10 -0.14829543D+05  158.1725121    0.0105535  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.88948277D+05    0.0000000    0.0000000  EM
              2 -0.14940878D+05 ************    0.8320273  EM
              3 -0.14073289D+05  867.5886262    0.0580681  EM
              4 -0.13533687D+05  539.6017609    0.0383423  EM
              5 -0.13215801D+05  317.8867932    0.0234886  EM
              6 -0.13136721D+05   79.0801820    0.0059838  EM
              7 -0.13129720D+05    7.0006317    0.0005329  EM
              8 -0.13129045D+05    0.6749960    0.0000514  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.39409772D+05    0.0000000    0.0000000  EM
              2 -0.17096005D+05 ************    0.5661988  EM
              3 -0.27189592D+05 ************   -0.5904062  EM
              4 -0.16374237D+05 ************    0.3977755  EM
              5 -0.15243101D+05 1131.1360703    0.0690802  EM
              6 -0.14842594D+05  400.5074514    0.0262747  EM
              7 -0.14481792D+05  360.8018033    0.0243085  EM
              8 -0.14070603D+05  411.1886556    0.0283935  EM
              9 -0.13646302D+05  424.3015891    0.0301552  EM
             10 -0.13371080D+05  275.2218326    0.0201682  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.48903826D+05    0.0000000    0.0000000  EM
              2 -0.16614504D+05 ************    0.6602617  EM
              3 -0.15749713D+05  864.7905730    0.0520503  EM
              4 -0.15484700D+05  265.0136494    0.0168266  EM
              5 -0.15296838D+05  187.8615033    0.0121321  EM
              6 -0.15145132D+05  151.7057008    0.0099175  EM
              7 -0.15004709D+05  140.4237386    0.0092719  EM
              8 -0.14864456D+05  140.2525293    0.0093472  EM
              9 -0.14721214D+05  143.2420512    0.0096365  EM
             10 -0.14572360D+05  148.8545086    0.0101116  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.21555895D+05    0.0000000    0.0000000  EM
              2 -0.15729220D+05 5826.6749591    0.2703054  EM
              3 -0.15577816D+05  151.4040859    0.0096257  EM
              4 -0.15429261D+05  148.5543812    0.0095363  EM
              5 -0.15276046D+05  153.2151356    0.0099302  EM
              6 -0.15113624D+05  162.4225314    0.0106325  EM
              7 -0.14936536D+05  177.0878453    0.0117171  EM
              8 -0.14741479D+05  195.0570399    0.0130591  EM
              9 -0.14520647D+05  220.8321186    0.0149803  EM
             10 -0.14256447D+05  264.1992745    0.0181947  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.42037802D+05    0.0000000    0.0000000  EM
              2 -0.16471887D+05 ************    0.6081649  EM
              3 -0.16091254D+05  380.6329170    0.0231080  EM
              4 -0.15896418D+05  194.8363235    0.0121082  EM
              5 -0.15829513D+05   66.9042297    0.0042088  EM
              6 -0.15754351D+05   75.1623237    0.0047482  EM
              7 -0.15664955D+05   89.3960952    0.0056744  EM
              8 -0.15561757D+05  103.1984298    0.0065879  EM
              9 -0.15442224D+05  119.5321977    0.0076812  EM
             10 -0.15301482D+05  140.7423447    0.0091141  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.24752463D+05    0.0000000    0.0000000  EM
              2 -0.16119243D+05 8633.2198115    0.3487822  EM
              3 -0.15821757D+05  297.4866998    0.0184554  EM
              4 -0.15625066D+05  196.6902791    0.0124316  EM
              5 -0.15528496D+05   96.5708071    0.0061805  EM
              6 -0.15454733D+05   73.7630571    0.0047502  EM
              7 -0.15381363D+05   73.3695623    0.0047474  EM
              8 -0.15303778D+05   77.5851315    0.0050441  EM
              9 -0.15220799D+05   82.9787578    0.0054221  EM
             10 -0.15132031D+05   88.7677405    0.0058320  EM


  FINAL STAGE ITERATIONS


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5




   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.88948277D+05    0.0000000    0.0000000  EM
              2 -0.14940878D+05 ************    0.8320273  EM
              3 -0.14073289D+05  867.5886262    0.0580681  EM
              4 -0.13533687D+05  539.6017609    0.0383423  EM
              5 -0.13215801D+05  317.8867932    0.0234886  EM
              6 -0.13136721D+05   79.0801820    0.0059838  EM
              7 -0.13129720D+05    7.0006317    0.0005329  EM
              8 -0.13129045D+05    0.6749960    0.0000514  EM
              9 -0.13129018D+05    0.0270562    0.0000021  EM
             10 -0.13129017D+05    0.0008422    0.0000001  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1




   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.26105604D+05    0.0000000    0.0000000  EM
              2 -0.15609680D+05 ************    0.4020563  EM
              3 -0.14914647D+05  695.0337303    0.0445258  EM
              4 -0.14531974D+05  382.6727091    0.0256575  EM
              5 -0.14084785D+05  447.1890787    0.0307728  EM
              6 -0.13678980D+05  405.8044937    0.0288116  EM
              7 -0.13390738D+05  288.2422674    0.0210719  EM
              8 -0.13256740D+05  133.9985267    0.0100068  EM
              9 -0.13172987D+05   83.7531000    0.0063178  EM
             10 -0.13138986D+05   34.0004705    0.0025811  EM
             11 -0.13131971D+05    7.0149182    0.0005339  EM
             12 -0.13129590D+05    2.3807932    0.0001813  EM
             13 -0.13129046D+05    0.5447770    0.0000415  EM
             14 -0.13129037D+05    0.0080727    0.0000006  EM
             15 -0.13129037D+05    0.0000766    0.0000000  EM


     Beginning Time:  23:04:34
        Ending Time:  23:04:47
       Elapsed Time:  00:00:13



MUTHEN & MUTHEN
3463 Stoner Ave.
Los Angeles, CA  90066

Tel: (310) 391-9971
Fax: (310) 391-8971
Web: www.StatModel.com
Support: Support@StatModel.com

Copyright (c) 1998-2022 Muthen & Muthen

Back to examples