Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022  10:26 PM

INPUT INSTRUCTIONS

  TITLE:	this is an example of a two-level growth model
  	for a continuous outcome (three-level analysis) with
  	variation of a random slope on both the within and
  	between levels

  montecarlo:
  	names are y1-y4 x a1-a4 w;
  	nobservations = 500;
  	ncsizes = 3;
  	csizes = 10 (5) 50 (3) 30 (10);
  	seed = 58459;
  	nreps = 1;
  	within = x a1-a4;
  	between = w;
  	save = ex9.14.dat;

  ANALYSIS:	
  	TYPE = TWOLEVEL RANDOM;
  	algorithm = integration;
  	integration = 10;

  MODEL POPULATION:

  	%WITHIN%
  	x@1; a1-a4@1;
  	iw sw | y1@0 y2@1 y3@2 y4@3;
  	y1-y4*.5 (1);
  	iw ON x*1;
  	sw ON x*.2;
  	iw*1; sw*.5;
  	s* | y1 ON a1;
  	s* | y2 ON a2;
  	s* | y3 ON a3;
  	s* | y4 ON a4;
  	s*.5;

  	%BETWEEN%
  	w@1;
  	ib sb | y1@0 y2@1 y3@2 y4@3;
  	y1-y4@0;
  	ib ON w*.5;
  	sb ON w*.2;
  	s ON w*.6;
  	s with ib-sb@0;
  	[ib*1 sb*.5 s*1];
  	ib*.5; sb*.2; s*.3;

  MODEL:

  	%WITHIN%

  	iw sw | y1@0 y2@1 y3@2 y4@3;
  	y1-y4*.5 (1);
  	iw ON x*1;
  	sw ON x*.2;
  	iw*1; sw*.5;
  	s* | y1 ON a1;
  	s* | y2 ON a2;
  	s* | y3 ON a3;
  	s* | y4 ON a4;
  	s*.5;

  	%BETWEEN%

  	ib sb | y1@0 y2@1 y3@2 y4@3;
  	y1-y4@0;
  	ib ON w*.5;
  	sb ON w*.2;
  	s ON w*.6;
  	s with ib-sb@0;
  	[ib*1 sb*.5 s*1];
  	ib*.5; sb*.2; s*.3;


  output:
  	tech8 tech9;



INPUT READING TERMINATED NORMALLY



this is an example of a two-level growth model
for a continuous outcome (three-level analysis) with
variation of a random slope on both the within and
between levels

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         500

Number of replications
    Requested                                                    1
    Completed                                                    1
Value of seed                                                58459

Number of dependent variables                                    4
Number of independent variables                                  6
Number of continuous latent variables                            5

Observed dependent variables

  Continuous
   Y1          Y2          Y3          Y4

Observed independent variables
   X           A1          A2          A3          A4          W

Continuous latent variables
   IW          SW          S           IB          SB

Variables with special functions

  Within variables
   X           A1          A2          A3          A4

  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                                  10
  Dimensions of numerical integration                            4
  Adaptive quadrature                                           ON
Cholesky                                                       OFF


SUMMARY OF DATA FOR THE FIRST REPLICATION

     Cluster information

       Size (s)    Number of clusters of Size s

          3            50
          5            10
         10            30


SAMPLE STATISTICS FOR THE FIRST REPLICATION


     SAMPLE STATISTICS


           Means
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
                1.019         1.653         2.015         2.701         0.033


           Means
              A1            A2            A3            A4            W
              ________      ________      ________      ________      ________
               -0.078        -0.061        -0.002         0.039        -0.091


           Covariances
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1             5.276
 Y2             3.073         8.072
 Y3             3.628         6.355        10.410
 Y4             3.609         7.548        10.017        16.330
 X              0.900         1.184         1.513         1.623         0.922
 A1             1.066         0.066         0.145         0.199         0.030
 A2             0.043         1.265         0.277         0.153        -0.013
 A3            -0.021        -0.028         0.821        -0.250        -0.066
 A4            -0.105        -0.127        -0.078         0.871        -0.079
 W              0.489         0.996         1.083         1.403        -0.027


           Covariances
              A1            A2            A3            A4            W
              ________      ________      ________      ________      ________
 A1             0.985
 A2            -0.009         1.073
 A3            -0.012         0.019         1.022
 A4             0.041        -0.035        -0.008         1.080
 W              0.040         0.126        -0.041         0.004         0.956


           Correlations
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1             1.000
 Y2             0.471         1.000
 Y3             0.489         0.693         1.000
 Y4             0.389         0.657         0.768         1.000
 X              0.408         0.434         0.488         0.418         1.000
 A1             0.468         0.024         0.045         0.050         0.031
 A2             0.018         0.430         0.083         0.037        -0.013
 A3            -0.009        -0.010         0.252        -0.061        -0.068
 A4            -0.044        -0.043        -0.023         0.207        -0.079
 W              0.218         0.359         0.343         0.355        -0.029


           Correlations
              A1            A2            A3            A4            W
              ________      ________      ________      ________      ________
 A1             1.000
 A2            -0.009         1.000
 A3            -0.012         0.018         1.000
 A4             0.039        -0.032        -0.008         1.000
 W              0.041         0.125        -0.041         0.004         1.000




MODEL FIT INFORMATION

Number of Free Parameters                       17

Loglikelihood

    H0 Value

        Mean                             -3616.302
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        -3616.302      -3616.302
           0.980       0.000        -3616.302      -3616.302
           0.950       0.000        -3616.302      -3616.302
           0.900       0.000        -3616.302      -3616.302
           0.800       0.000        -3616.302      -3616.302
           0.700       0.000        -3616.302      -3616.302
           0.500       0.000        -3616.302      -3616.302
           0.300       0.000        -3616.302      -3616.302
           0.200       0.000        -3616.302      -3616.302
           0.100       0.000        -3616.302      -3616.302
           0.050       0.000        -3616.302      -3616.302
           0.020       0.000        -3616.302      -3616.302
           0.010       0.000        -3616.302      -3616.302

Information Criteria

    Akaike (AIC)

        Mean                              7266.605
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         7266.605       7266.605
           0.980       0.000         7266.605       7266.605
           0.950       0.000         7266.605       7266.605
           0.900       0.000         7266.605       7266.605
           0.800       0.000         7266.605       7266.605
           0.700       0.000         7266.605       7266.605
           0.500       0.000         7266.605       7266.605
           0.300       0.000         7266.605       7266.605
           0.200       0.000         7266.605       7266.605
           0.100       0.000         7266.605       7266.605
           0.050       0.000         7266.605       7266.605
           0.020       0.000         7266.605       7266.605
           0.010       0.000         7266.605       7266.605

    Bayesian (BIC)

        Mean                              7338.253
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         7338.253       7338.253
           0.980       0.000         7338.253       7338.253
           0.950       0.000         7338.253       7338.253
           0.900       0.000         7338.253       7338.253
           0.800       0.000         7338.253       7338.253
           0.700       0.000         7338.253       7338.253
           0.500       0.000         7338.253       7338.253
           0.300       0.000         7338.253       7338.253
           0.200       0.000         7338.253       7338.253
           0.100       0.000         7338.253       7338.253
           0.050       0.000         7338.253       7338.253
           0.020       0.000         7338.253       7338.253
           0.010       0.000         7338.253       7338.253

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

        Mean                              7284.294
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         7284.294       7284.294
           0.980       0.000         7284.294       7284.294
           0.950       0.000         7284.294       7284.294
           0.900       0.000         7284.294       7284.294
           0.800       0.000         7284.294       7284.294
           0.700       0.000         7284.294       7284.294
           0.500       0.000         7284.294       7284.294
           0.300       0.000         7284.294       7284.294
           0.200       0.000         7284.294       7284.294
           0.100       0.000         7284.294       7284.294
           0.050       0.000         7284.294       7284.294
           0.020       0.000         7284.294       7284.294
           0.010       0.000         7284.294       7284.294



MODEL RESULTS

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

Within Level

 IW       |
  Y1                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y3                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y4                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

 SW       |
  Y1                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y3                  2.000     2.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y4                  3.000     3.0000     0.0000     0.0000     0.0000 1.000 0.000

 IW         ON
  X                   1.000     1.0055     0.0000     0.0635     0.0000 1.000 1.000

 SW         ON
  X                   0.200     0.2617     0.0000     0.0449     0.0038 1.000 1.000

 SW       WITH
  IW                  0.000     0.0454     0.0000     0.0515     0.0021 1.000 0.000

 Variances
  S                   0.500     0.6126     0.0000     0.0476     0.0127 0.000 1.000

 Residual Variances
  Y1                  0.500     0.5090     0.0000     0.0314     0.0001 1.000 1.000
  Y2                  0.500     0.5090     0.0000     0.0314     0.0001 1.000 1.000
  Y3                  0.500     0.5090     0.0000     0.0314     0.0001 1.000 1.000
  Y4                  0.500     0.5090     0.0000     0.0314     0.0001 1.000 1.000
  IW                  1.000     0.8350     0.0000     0.0825     0.0272 0.000 1.000
  SW                  0.500     0.5598     0.0000     0.0501     0.0036 1.000 1.000

Between Level

 IB       |
  Y1                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y3                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y4                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

 SB       |
  Y1                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y3                  2.000     2.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y4                  3.000     3.0000     0.0000     0.0000     0.0000 1.000 0.000

 IB         ON
  W                   0.500     0.5269     0.0000     0.0997     0.0007 1.000 1.000

 SB         ON
  W                   0.200     0.3193     0.0000     0.0589     0.0142 0.000 1.000

 S          ON
  W                   0.600     0.6169     0.0000     0.0684     0.0003 1.000 1.000

 S        WITH
  IB                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  SB                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

 SB       WITH
  IB                  0.000    -0.0663     0.0000     0.0618     0.0044 1.000 0.000

 Intercepts
  Y1                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y3                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y4                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  IB                  1.000     1.0878     0.0000     0.0882     0.0077 1.000 1.000
  SB                  0.500     0.5669     0.0000     0.0630     0.0045 1.000 1.000
  S                   1.000     1.0583     0.0000     0.0723     0.0034 1.000 1.000

 Residual Variances
  Y1                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y3                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y4                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  IB                  0.500     0.4139     0.0000     0.0939     0.0074 1.000 1.000
  SB                  0.200     0.1994     0.0000     0.0562     0.0000 1.000 1.000
  S                   0.300     0.2763     0.0000     0.0645     0.0006 1.000 1.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.217E-01
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR WITHIN


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


           NU
              A1            A2            A3            A4
              ________      ________      ________      ________
                    0             0             0             0


           LAMBDA
              IW            SW            S%W           Y1            Y2
              ________      ________      ________      ________      ________
 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
 A1                 0             0             0             0             0
 A2                 0             0             0             0             0
 A3                 0             0             0             0             0
 A4                 0             0             0             0             0


           LAMBDA
              Y3            Y4            X             A1            A2
              ________      ________      ________      ________      ________
 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
 A1                 0             0             0             0             0
 A2                 0             0             0             0             0
 A3                 0             0             0             0             0
 A4                 0             0             0             0             0


           LAMBDA
              A3            A4
              ________      ________
 Y1                 0             0
 Y2                 0             0
 Y3                 0             0
 Y4                 0             0
 X                  0             0
 A1                 0             0
 A2                 0             0
 A3                 0             0
 A4                 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
 A1                 0             0             0             0             0
 A2                 0             0             0             0             0
 A3                 0             0             0             0             0
 A4                 0             0             0             0             0


           THETA
              A1            A2            A3            A4
              ________      ________      ________      ________
 A1                 0
 A2                 0             0
 A3                 0             0             0
 A4                 0             0             0             0


           ALPHA
              IW            SW            S%W           Y1            Y2
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           ALPHA
              Y3            Y4            X             A1            A2
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           ALPHA
              A3            A4
              ________      ________
                    0             0


           BETA
              IW            SW            S%W           Y1            Y2
              ________      ________      ________      ________      ________
 IW                 0             0             0             0             0
 SW                 0             0             0             0             0
 S%W                0             0             0             0             0
 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
 A1                 0             0             0             0             0
 A2                 0             0             0             0             0
 A3                 0             0             0             0             0
 A4                 0             0             0             0             0


           BETA
              Y3            Y4            X             A1            A2
              ________      ________      ________      ________      ________
 IW                 0             0             1             0             0
 SW                 0             0             2             0             0
 S%W                0             0             0             0             0
 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
 A1                 0             0             0             0             0
 A2                 0             0             0             0             0
 A3                 0             0             0             0             0
 A4                 0             0             0             0             0


           BETA
              A3            A4
              ________      ________
 IW                 0             0
 SW                 0             0
 S%W                0             0
 Y1                 0             0
 Y2                 0             0
 Y3                 0             0
 Y4                 0             0
 X                  0             0
 A1                 0             0
 A2                 0             0
 A3                 0             0
 A4                 0             0


           PSI
              IW            SW            S%W           Y1            Y2
              ________      ________      ________      ________      ________
 IW                 3
 SW                 4             5
 S%W                0             0             6
 Y1                 0             0             0             7
 Y2                 0             0             0             0             7
 Y3                 0             0             0             0             0
 Y4                 0             0             0             0             0
 X                  0             0             0             0             0
 A1                 0             0             0             0             0
 A2                 0             0             0             0             0
 A3                 0             0             0             0             0
 A4                 0             0             0             0             0


           PSI
              Y3            Y4            X             A1            A2
              ________      ________      ________      ________      ________
 Y3                 7
 Y4                 0             7
 X                  0             0             0
 A1                 0             0             0             0
 A2                 0             0             0             0             0
 A3                 0             0             0             0             0
 A4                 0             0             0             0             0


           PSI
              A3            A4
              ________      ________
 A3                 0
 A4                 0             0


     PARAMETER SPECIFICATION FOR BETWEEN


           NU
              Y1            Y2            Y3            Y4            W
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           LAMBDA
              IB            SB            S%B           Y1            Y2
              ________      ________      ________      ________      ________
 Y1                 0             0             0             0             0
 Y2                 0             0             0             0             0
 Y3                 0             0             0             0             0
 Y4                 0             0             0             0             0
 W                  0             0             0             0             0


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


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


           ALPHA
              IB            SB            S%B           Y1            Y2
              ________      ________      ________      ________      ________
                    8             9            10             0             0


           ALPHA
              Y3            Y4            W
              ________      ________      ________
                    0             0             0


           BETA
              IB            SB            S%B           Y1            Y2
              ________      ________      ________      ________      ________
 IB                 0             0             0             0             0
 SB                 0             0             0             0             0
 S%B                0             0             0             0             0
 Y1                 0             0             0             0             0
 Y2                 0             0             0             0             0
 Y3                 0             0             0             0             0
 Y4                 0             0             0             0             0
 W                  0             0             0             0             0


           BETA
              Y3            Y4            W
              ________      ________      ________
 IB                 0             0            11
 SB                 0             0            12
 S%B                0             0            13
 Y1                 0             0             0
 Y2                 0             0             0
 Y3                 0             0             0
 Y4                 0             0             0
 W                  0             0             0


           PSI
              IB            SB            S%B           Y1            Y2
              ________      ________      ________      ________      ________
 IB                14
 SB                15            16
 S%B                0             0            17
 Y1                 0             0             0             0
 Y2                 0             0             0             0             0
 Y3                 0             0             0             0             0
 Y4                 0             0             0             0             0
 W                  0             0             0             0             0


           PSI
              Y3            Y4            W
              ________      ________      ________
 Y3                 0
 Y4                 0             0
 W                  0             0             0


     STARTING VALUES FOR WITHIN


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


           NU
              A1            A2            A3            A4
              ________      ________      ________      ________
                0.000         0.000         0.000         0.000


           LAMBDA
              IW            SW            S%W           Y1            Y2
              ________      ________      ________      ________      ________
 Y1             0.000         0.000         0.000         1.000         0.000
 Y2             0.000         0.000         0.000         0.000         1.000
 Y3             0.000         0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 A1             0.000         0.000         0.000         0.000         0.000
 A2             0.000         0.000         0.000         0.000         0.000
 A3             0.000         0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000


           LAMBDA
              Y3            Y4            X             A1            A2
              ________      ________      ________      ________      ________
 Y1             0.000         0.000         0.000         0.000         0.000
 Y2             0.000         0.000         0.000         0.000         0.000
 Y3             1.000         0.000         0.000         0.000         0.000
 Y4             0.000         1.000         0.000         0.000         0.000
 X              0.000         0.000         1.000         0.000         0.000
 A1             0.000         0.000         0.000         1.000         0.000
 A2             0.000         0.000         0.000         0.000         1.000
 A3             0.000         0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000


           LAMBDA
              A3            A4
              ________      ________
 Y1             0.000         0.000
 Y2             0.000         0.000
 Y3             0.000         0.000
 Y4             0.000         0.000
 X              0.000         0.000
 A1             0.000         0.000
 A2             0.000         0.000
 A3             1.000         0.000
 A4             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
 A1             0.000         0.000         0.000         0.000         0.000
 A2             0.000         0.000         0.000         0.000         0.000
 A3             0.000         0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000


           THETA
              A1            A2            A3            A4
              ________      ________      ________      ________
 A1             0.000
 A2             0.000         0.000
 A3             0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000


           ALPHA
              IW            SW            S%W           Y1            Y2
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           ALPHA
              Y3            Y4            X             A1            A2
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           ALPHA
              A3            A4
              ________      ________
                0.000         0.000


           BETA
              IW            SW            S%W           Y1            Y2
              ________      ________      ________      ________      ________
 IW             0.000         0.000         0.000         0.000         0.000
 SW             0.000         0.000         0.000         0.000         0.000
 S%W            0.000         0.000         0.000         0.000         0.000
 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
 A1             0.000         0.000         0.000         0.000         0.000
 A2             0.000         0.000         0.000         0.000         0.000
 A3             0.000         0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000


           BETA
              Y3            Y4            X             A1            A2
              ________      ________      ________      ________      ________
 IW             0.000         0.000         1.000         0.000         0.000
 SW             0.000         0.000         0.200         0.000         0.000
 S%W            0.000         0.000         0.000         0.000         0.000
 Y1             0.000         0.000         0.000         0.000         0.000
 Y2             0.000         0.000         0.000         0.000         0.000
 Y3             0.000         0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 A1             0.000         0.000         0.000         0.000         0.000
 A2             0.000         0.000         0.000         0.000         0.000
 A3             0.000         0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000


           BETA
              A3            A4
              ________      ________
 IW             0.000         0.000
 SW             0.000         0.000
 S%W            0.000         0.000
 Y1             0.000         0.000
 Y2             0.000         0.000
 Y3             0.000         0.000
 Y4             0.000         0.000
 X              0.000         0.000
 A1             0.000         0.000
 A2             0.000         0.000
 A3             0.000         0.000
 A4             0.000         0.000


           PSI
              IW            SW            S%W           Y1            Y2
              ________      ________      ________      ________      ________
 IW             1.000
 SW             0.000         0.500
 S%W            0.000         0.000         0.500
 Y1             0.000         0.000         0.000         0.500
 Y2             0.000         0.000         0.000         0.000         0.500
 Y3             0.000         0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 A1             0.000         0.000         0.000         0.000         0.000
 A2             0.000         0.000         0.000         0.000         0.000
 A3             0.000         0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000


           PSI
              Y3            Y4            X             A1            A2
              ________      ________      ________      ________      ________
 Y3             0.500
 Y4             0.000         0.500
 X              0.000         0.000         0.500
 A1             0.000         0.000         0.000         0.500
 A2             0.000         0.000         0.000         0.000         0.500
 A3             0.000         0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000


           PSI
              A3            A4
              ________      ________
 A3             0.500
 A4             0.000         0.500


     STARTING VALUES FOR BETWEEN


           NU
              Y1            Y2            Y3            Y4            W
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           LAMBDA
              IB            SB            S%B           Y1            Y2
              ________      ________      ________      ________      ________
 Y1             0.000         0.000         0.000         1.000         0.000
 Y2             0.000         0.000         0.000         0.000         1.000
 Y3             0.000         0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


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


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


           ALPHA
              IB            SB            S%B           Y1            Y2
              ________      ________      ________      ________      ________
                1.000         0.500         1.000         0.000         0.000


           ALPHA
              Y3            Y4            W
              ________      ________      ________
                0.000         0.000         0.000


           BETA
              IB            SB            S%B           Y1            Y2
              ________      ________      ________      ________      ________
 IB             0.000         0.000         0.000         0.000         0.000
 SB             0.000         0.000         0.000         0.000         0.000
 S%B            0.000         0.000         0.000         0.000         0.000
 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
 W              0.000         0.000         0.000         0.000         0.000


           BETA
              Y3            Y4            W
              ________      ________      ________
 IB             0.000         0.000         0.500
 SB             0.000         0.000         0.200
 S%B            0.000         0.000         0.600
 Y1             0.000         0.000         0.000
 Y2             0.000         0.000         0.000
 Y3             0.000         0.000         0.000
 Y4             0.000         0.000         0.000
 W              0.000         0.000         0.000


           PSI
              IB            SB            S%B           Y1            Y2
              ________      ________      ________      ________      ________
 IB             0.500
 SB             0.000         0.200
 S%B            0.000         0.000         0.300
 Y1             0.000         0.000         0.000         0.000
 Y2             0.000         0.000         0.000         0.000         0.000
 Y3             0.000         0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           PSI
              Y3            Y4            W
              ________      ________      ________
 Y3             0.000
 Y4             0.000         0.000
 W              0.000         0.000         0.500


     POPULATION VALUES FOR WITHIN


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


           NU
              A1            A2            A3            A4
              ________      ________      ________      ________
                0.000         0.000         0.000         0.000


           LAMBDA
              IW            SW            S%W           Y1            Y2
              ________      ________      ________      ________      ________
 Y1             0.000         0.000         0.000         1.000         0.000
 Y2             0.000         0.000         0.000         0.000         1.000
 Y3             0.000         0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 A1             0.000         0.000         0.000         0.000         0.000
 A2             0.000         0.000         0.000         0.000         0.000
 A3             0.000         0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000


           LAMBDA
              Y3            Y4            X             A1            A2
              ________      ________      ________      ________      ________
 Y1             0.000         0.000         0.000         0.000         0.000
 Y2             0.000         0.000         0.000         0.000         0.000
 Y3             1.000         0.000         0.000         0.000         0.000
 Y4             0.000         1.000         0.000         0.000         0.000
 X              0.000         0.000         1.000         0.000         0.000
 A1             0.000         0.000         0.000         1.000         0.000
 A2             0.000         0.000         0.000         0.000         1.000
 A3             0.000         0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000


           LAMBDA
              A3            A4
              ________      ________
 Y1             0.000         0.000
 Y2             0.000         0.000
 Y3             0.000         0.000
 Y4             0.000         0.000
 X              0.000         0.000
 A1             0.000         0.000
 A2             0.000         0.000
 A3             1.000         0.000
 A4             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
 A1             0.000         0.000         0.000         0.000         0.000
 A2             0.000         0.000         0.000         0.000         0.000
 A3             0.000         0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000


           THETA
              A1            A2            A3            A4
              ________      ________      ________      ________
 A1             0.000
 A2             0.000         0.000
 A3             0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000


           ALPHA
              IW            SW            S%W           Y1            Y2
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           ALPHA
              Y3            Y4            X             A1            A2
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           ALPHA
              A3            A4
              ________      ________
                0.000         0.000


           BETA
              IW            SW            S%W           Y1            Y2
              ________      ________      ________      ________      ________
 IW             0.000         0.000         0.000         0.000         0.000
 SW             0.000         0.000         0.000         0.000         0.000
 S%W            0.000         0.000         0.000         0.000         0.000
 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
 A1             0.000         0.000         0.000         0.000         0.000
 A2             0.000         0.000         0.000         0.000         0.000
 A3             0.000         0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000


           BETA
              Y3            Y4            X             A1            A2
              ________      ________      ________      ________      ________
 IW             0.000         0.000         1.000         0.000         0.000
 SW             0.000         0.000         0.200         0.000         0.000
 S%W            0.000         0.000         0.000         0.000         0.000
 Y1             0.000         0.000         0.000         0.000         0.000
 Y2             0.000         0.000         0.000         0.000         0.000
 Y3             0.000         0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 A1             0.000         0.000         0.000         0.000         0.000
 A2             0.000         0.000         0.000         0.000         0.000
 A3             0.000         0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000


           BETA
              A3            A4
              ________      ________
 IW             0.000         0.000
 SW             0.000         0.000
 S%W            0.000         0.000
 Y1             0.000         0.000
 Y2             0.000         0.000
 Y3             0.000         0.000
 Y4             0.000         0.000
 X              0.000         0.000
 A1             0.000         0.000
 A2             0.000         0.000
 A3             0.000         0.000
 A4             0.000         0.000


           PSI
              IW            SW            S%W           Y1            Y2
              ________      ________      ________      ________      ________
 IW             1.000
 SW             0.000         0.500
 S%W            0.000         0.000         0.500
 Y1             0.000         0.000         0.000         0.500
 Y2             0.000         0.000         0.000         0.000         0.500
 Y3             0.000         0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 A1             0.000         0.000         0.000         0.000         0.000
 A2             0.000         0.000         0.000         0.000         0.000
 A3             0.000         0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000


           PSI
              Y3            Y4            X             A1            A2
              ________      ________      ________      ________      ________
 Y3             0.500
 Y4             0.000         0.500
 X              0.000         0.000         1.000
 A1             0.000         0.000         0.000         1.000
 A2             0.000         0.000         0.000         0.000         1.000
 A3             0.000         0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000


           PSI
              A3            A4
              ________      ________
 A3             1.000
 A4             0.000         1.000


     POPULATION VALUES FOR BETWEEN


           NU
              Y1            Y2            Y3            Y4            W
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           LAMBDA
              IB            SB            S%B           Y1            Y2
              ________      ________      ________      ________      ________
 Y1             0.000         0.000         0.000         1.000         0.000
 Y2             0.000         0.000         0.000         0.000         1.000
 Y3             0.000         0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


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


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


           ALPHA
              IB            SB            S%B           Y1            Y2
              ________      ________      ________      ________      ________
                1.000         0.500         1.000         0.000         0.000


           ALPHA
              Y3            Y4            W
              ________      ________      ________
                0.000         0.000         0.000


           BETA
              IB            SB            S%B           Y1            Y2
              ________      ________      ________      ________      ________
 IB             0.000         0.000         0.000         0.000         0.000
 SB             0.000         0.000         0.000         0.000         0.000
 S%B            0.000         0.000         0.000         0.000         0.000
 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
 W              0.000         0.000         0.000         0.000         0.000


           BETA
              Y3            Y4            W
              ________      ________      ________
 IB             0.000         0.000         0.500
 SB             0.000         0.000         0.200
 S%B            0.000         0.000         0.600
 Y1             0.000         0.000         0.000
 Y2             0.000         0.000         0.000
 Y3             0.000         0.000         0.000
 Y4             0.000         0.000         0.000
 W              0.000         0.000         0.000


           PSI
              IB            SB            S%B           Y1            Y2
              ________      ________      ________      ________      ________
 IB             0.500
 SB             0.000         0.200
 S%B            0.000         0.000         0.300
 Y1             0.000         0.000         0.000         0.000
 Y2             0.000         0.000         0.000         0.000         0.000
 Y3             0.000         0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           PSI
              Y3            Y4            W
              ________      ________      ________
 Y3             0.000
 Y4             0.000         0.000
 W              0.000         0.000         1.000


TECHNICAL 8 OUTPUT


  TECHNICAL 8 OUTPUT FOR REPLICATION 1


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.36279127D+04    0.0000000    0.0000000  EM
              2 -0.36181862D+04    9.7265087    0.0026810  EM
              3 -0.36169697D+04    1.2164754    0.0003362  EM
              4 -0.36165910D+04    0.3786802    0.0001047  EM
              5 -0.36164351D+04    0.1559628    0.0000431  EM
              6 -0.36163646D+04    0.0704903    0.0000195  EM
              7 -0.36163316D+04    0.0330362    0.0000091  EM
              8 -0.36163158D+04    0.0157127    0.0000043  EM
              9 -0.36163083D+04    0.0075076    0.0000021  EM
             10 -0.36163048D+04    0.0035783    0.0000010  EM
             11 -0.36163031D+04    0.0016885    0.0000005  EM
             12 -0.36163023D+04    0.0007804    0.0000002  EM


TECHNICAL 9 OUTPUT

  Error messages for each replication (if any)



SAVEDATA INFORMATION

  Order of variables

    Y1
    Y2
    Y3
    Y4
    X
    A1
    A2
    A3
    A4
    W
    CLUSTER

  Save file
    ex9.14.dat

  Save file format           Free
  Save file record length    10000


     Beginning Time:  22:26:02
        Ending Time:  22:26:38
       Elapsed Time:  00:00:36



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