Mplus VERSION 7.3
MUTHEN & MUTHEN
09/22/2014   5:20 PM

INPUT INSTRUCTIONS

  title:	this is an example of a Monte Carlo simulation
      study for a two-level growth model for a count outcome
      using a zero-inflated Poisson model (three-level analysis)

  montecarlo:
  	names = u1-u4 x w;
  	generate = u1-u4(ci);
  	count = u1-u4(i);
  	nobs = 1000;
      ncsizes = 3;
      csizes = 40 (5) 50 (10) 20 (15);
      within = x;
      between = w;
  	nreps = 1;
  	save = ex9.17.dat;

  analysis:
      type = twolevel;
  	integration = 10;
      mconv = .01;

  model population:
      %within%
      x@1;

  	iw sw | u1@0 u2@1 u3@2 u4@3;

  	iw*.4; sw@0;

  	iiw siw | u1#1@0 u2#1@1 u3#1@2 u4#1@3;

  	
  	iiw*1; siw@0;
  	! inflation slope variance zero for simplicity
  	siw with iw-iiw@0;
  	iw with iiw*-.32;
  	! correlation is -0.5 between i and iiw
  	sw with iiw@0;

      iw on x*.2;
      sw on x*.05;


      %between%

      w@1;
      ib sb | u1@0 u2@1 u3@2 u4@3;
      iib sib | u1#1@0 u2#1@1 u3#1@2 u4#1@3;

      iib-sib@0;

      [u1-u4@0];
      [u1#1-u4#1*-.5];
      [iib@0 sib*-.2];


      ib on w*.5;
      [ib*.2 sb*.005];
      ib*.2 sb@0;

  model:
       %within%

  	iw sw | u1@0 u2@1 u3@2 u4@3;

  	iw*.4; sw@0;

  	iiw siw | u1#1@0 u2#1@1 u3#1@2 u4#1@3;

  	
  	iiw*1; siw@0;
  	! inflation slope variance zero for simplicity
  	siw with iw-iiw@0;
  	iw with iiw*-.32;
  	! correlation is -0.5 between i and iiw
  	sw with iiw@0;

      iw on x*.2;
      sw on x*.05;


      %between%

      ib sb | u1@0 u2@1 u3@2 u4@3;
      iib sib | u1#1@0 u2#1@1 u3#1@2 u4#1@3;

      iib-sib@0;


      [u1-u4@0];
      [u1#1-u4#1*-.5] (1);
      [iib@0 sib*-.2];

      ib on w*.5;
      [ib*.2 sb*.005];
      ib*.2 sb@0;


  output:
  	tech8 tech9;



*** WARNING in MODEL command
  All continuous latent variable covariances involving SB on the between level
  have been fixed to 0 because the variance of SB is fixed at 0.
*** WARNING in MODEL command
  All continuous latent variable covariances involving IIB on the between level
  have been fixed to 0 because the variance of IIB is fixed at 0.
*** WARNING in MODEL command
  All continuous latent variable covariances involving SW on the within level
  have been fixed to 0 because the variance of SW is fixed at 0.
   3 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS



this is an example of a Monte Carlo simulation
study for a two-level growth model for a count outcome
using a zero-inflated Poisson model (three-level analysis)

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                        1000

Number of replications
    Requested                                                    1
    Completed                                                    1
Value of seed                                                    0

Number of dependent variables                                    4
Number of independent variables                                  2
Number of continuous latent variables                            8

Observed dependent variables

  Count
   U1          U2          U3          U4

Observed independent variables
   X           W

Continuous latent variables
   IW          SW          IIW         SIW         IB          SB
   IIB         SIB

Variables with special functions

  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-01
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                            3
  Adaptive quadrature                                           ON
Cholesky                                                        ON


SUMMARY OF DATA FOR THE FIRST REPLICATION

     Cluster information

       Size (s)    Number of clusters of Size s

          5            40
         10            50
         15            20


SAMPLE STATISTICS FOR THE FIRST REPLICATION


     SAMPLE STATISTICS


           Means
              X             W
              ________      ________
 1              0.012        -0.129


           Covariances
              X             W
              ________      ________
 X              1.035
 W             -0.009         0.956


           Correlations
              X             W
              ________      ________
 X              1.000
 W             -0.009         1.000




MODEL FIT INFORMATION

Number of Free Parameters                       11

Loglikelihood

    H0 Value

        Mean                             -5512.320
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        -5512.320      -5512.320
           0.980       0.000        -5512.320      -5512.320
           0.950       0.000        -5512.320      -5512.320
           0.900       0.000        -5512.320      -5512.320
           0.800       0.000        -5512.320      -5512.320
           0.700       0.000        -5512.320      -5512.320
           0.500       0.000        -5512.320      -5512.320
           0.300       0.000        -5512.320      -5512.320
           0.200       0.000        -5512.320      -5512.320
           0.100       0.000        -5512.320      -5512.320
           0.050       0.000        -5512.320      -5512.320
           0.020       0.000        -5512.320      -5512.320
           0.010       0.000        -5512.320      -5512.320

Information Criteria

    Akaike (AIC)

        Mean                             11046.639
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        11046.639      11046.639
           0.980       0.000        11046.639      11046.639
           0.950       0.000        11046.639      11046.639
           0.900       0.000        11046.639      11046.639
           0.800       0.000        11046.639      11046.639
           0.700       0.000        11046.639      11046.639
           0.500       0.000        11046.639      11046.639
           0.300       0.000        11046.639      11046.639
           0.200       0.000        11046.639      11046.639
           0.100       0.000        11046.639      11046.639
           0.050       0.000        11046.639      11046.639
           0.020       0.000        11046.639      11046.639
           0.010       0.000        11046.639      11046.639

    Bayesian (BIC)

        Mean                             11100.625
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        11100.625      11100.625
           0.980       0.000        11100.625      11100.625
           0.950       0.000        11100.625      11100.625
           0.900       0.000        11100.625      11100.625
           0.800       0.000        11100.625      11100.625
           0.700       0.000        11100.625      11100.625
           0.500       0.000        11100.625      11100.625
           0.300       0.000        11100.625      11100.625
           0.200       0.000        11100.625      11100.625
           0.100       0.000        11100.625      11100.625
           0.050       0.000        11100.625      11100.625
           0.020       0.000        11100.625      11100.625
           0.010       0.000        11100.625      11100.625

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

        Mean                             11065.688
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        11065.688      11065.688
           0.980       0.000        11065.688      11065.688
           0.950       0.000        11065.688      11065.688
           0.900       0.000        11065.688      11065.688
           0.800       0.000        11065.688      11065.688
           0.700       0.000        11065.688      11065.688
           0.500       0.000        11065.688      11065.688
           0.300       0.000        11065.688      11065.688
           0.200       0.000        11065.688      11065.688
           0.100       0.000        11065.688      11065.688
           0.050       0.000        11065.688      11065.688
           0.020       0.000        11065.688      11065.688
           0.010       0.000        11065.688      11065.688



MODEL RESULTS

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

 IW       |
  U1                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U2                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U3                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U4                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

 SW       |
  U1                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U2                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U3                  2.000     2.0000     0.0000     0.0000     0.0000 1.000 0.000
  U4                  3.000     3.0000     0.0000     0.0000     0.0000 1.000 0.000

 IIW      |
  U1#1                1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U2#1                1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U3#1                1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U4#1                1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

 SIW      |
  U1#1                0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U2#1                1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U3#1                2.000     2.0000     0.0000     0.0000     0.0000 1.000 0.000
  U4#1                3.000     3.0000     0.0000     0.0000     0.0000 1.000 0.000

 IW         ON
  X                   0.200     0.1683     0.0000     0.0408     0.0010 1.000 1.000

 SW         ON
  X                   0.050     0.0458     0.0000     0.0141     0.0000 1.000 1.000

 SIW      WITH
  IW                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  SW                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  IIW                 0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

 IW       WITH
  IIW                -0.320    -0.2781     0.0000     0.0682     0.0018 1.000 1.000

 SW       WITH
  IIW                 0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

 Variances
  IIW                 1.000     0.7909     0.0000     0.2757     0.0437 1.000 1.000
  SIW                 0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

 Residual Variances
  IW                  0.400     0.4400     0.0000     0.0413     0.0016 1.000 1.000
  SW                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

Between Level

 IB       |
  U1                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U2                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U3                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U4                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

 SB       |
  U1                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U2                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U3                  2.000     2.0000     0.0000     0.0000     0.0000 1.000 0.000
  U4                  3.000     3.0000     0.0000     0.0000     0.0000 1.000 0.000

 IIB      |
  U1#1                1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U2#1                1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U3#1                1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U4#1                1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

 SIB      |
  U1#1                0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U2#1                1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U3#1                2.000     2.0000     0.0000     0.0000     0.0000 1.000 0.000
  U4#1                3.000     3.0000     0.0000     0.0000     0.0000 1.000 0.000

 IB         ON
  W                   0.500     0.4512     0.0000     0.0463     0.0024 1.000 1.000

 Means
  SB                  0.005     0.0160     0.0000     0.0149     0.0001 1.000 0.000
  IIB                 0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  SIB                -0.200    -0.2084     0.0000     0.0505     0.0001 1.000 1.000

 Intercepts
  IB                  0.200     0.1946     0.0000     0.0626     0.0000 1.000 1.000
  U1#1               -0.500    -0.5257     0.0000     0.1095     0.0007 1.000 1.000
  U1                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U2#1               -0.500    -0.5257     0.0000     0.1095     0.0007 1.000 1.000
  U2                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U3#1               -0.500    -0.5257     0.0000     0.1095     0.0007 1.000 1.000
  U3                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  U4#1               -0.500    -0.5257     0.0000     0.1095     0.0007 1.000 1.000
  U4                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

 Variances
  SB                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  IIB                 0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  SIB                 0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

 Residual Variances
  IB                  0.200     0.1841     0.0000     0.0445     0.0003 1.000 1.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.174E-02
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR WITHIN


           NU
              U1#1          U1            U2#1          U2            U3#1
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           NU
              U3            U4#1          U4            X             W
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           LAMBDA
              IW            SW            IIW           SIW           IB
              ________      ________      ________      ________      ________
 U1#1               0             0             0             0             0
 U1                 0             0             0             0             0
 U2#1               0             0             0             0             0
 U2                 0             0             0             0             0
 U3#1               0             0             0             0             0
 U3                 0             0             0             0             0
 U4#1               0             0             0             0             0
 U4                 0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           LAMBDA
              SB            IIB           SIB           X             W
              ________      ________      ________      ________      ________
 U1#1               0             0             0             0             0
 U1                 0             0             0             0             0
 U2#1               0             0             0             0             0
 U2                 0             0             0             0             0
 U3#1               0             0             0             0             0
 U3                 0             0             0             0             0
 U4#1               0             0             0             0             0
 U4                 0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           THETA
              U1#1          U1            U2#1          U2            U3#1
              ________      ________      ________      ________      ________
 U1#1               0
 U1                 0             0
 U2#1               0             0             0
 U2                 0             0             0             0
 U3#1               0             0             0             0             0
 U3                 0             0             0             0             0
 U4#1               0             0             0             0             0
 U4                 0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           THETA
              U3            U4#1          U4            X             W
              ________      ________      ________      ________      ________
 U3                 0
 U4#1               0             0
 U4                 0             0             0
 X                  0             0             0             0
 W                  0             0             0             0             0


           ALPHA
              IW            SW            IIW           SIW           IB
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           ALPHA
              SB            IIB           SIB           X             W
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           BETA
              IW            SW            IIW           SIW           IB
              ________      ________      ________      ________      ________
 IW                 0             0             0             0             0
 SW                 0             0             0             0             0
 IIW                0             0             0             0             0
 SIW                0             0             0             0             0
 IB                 0             0             0             0             0
 SB                 0             0             0             0             0
 IIB                0             0             0             0             0
 SIB                0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           BETA
              SB            IIB           SIB           X             W
              ________      ________      ________      ________      ________
 IW                 0             0             0             1             0
 SW                 0             0             0             2             0
 IIW                0             0             0             0             0
 SIW                0             0             0             0             0
 IB                 0             0             0             0             0
 SB                 0             0             0             0             0
 IIB                0             0             0             0             0
 SIB                0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           PSI
              IW            SW            IIW           SIW           IB
              ________      ________      ________      ________      ________
 IW                 3
 SW                 0             0
 IIW                4             0             5
 SIW                0             0             0             0
 IB                 0             0             0             0             0
 SB                 0             0             0             0             0
 IIB                0             0             0             0             0
 SIB                0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           PSI
              SB            IIB           SIB           X             W
              ________      ________      ________      ________      ________
 SB                 0
 IIB                0             0
 SIB                0             0             0
 X                  0             0             0             0
 W                  0             0             0             0             0


     PARAMETER SPECIFICATION FOR BETWEEN


           NU
              U1#1          U1            U2#1          U2            U3#1
              ________      ________      ________      ________      ________
 1                  6             0             6             0             6


           NU
              U3            U4#1          U4            X             W
              ________      ________      ________      ________      ________
 1                  0             6             0             0             0


           LAMBDA
              IW            SW            IIW           SIW           IB
              ________      ________      ________      ________      ________
 U1#1               0             0             0             0             0
 U1                 0             0             0             0             0
 U2#1               0             0             0             0             0
 U2                 0             0             0             0             0
 U3#1               0             0             0             0             0
 U3                 0             0             0             0             0
 U4#1               0             0             0             0             0
 U4                 0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           LAMBDA
              SB            IIB           SIB           X             W
              ________      ________      ________      ________      ________
 U1#1               0             0             0             0             0
 U1                 0             0             0             0             0
 U2#1               0             0             0             0             0
 U2                 0             0             0             0             0
 U3#1               0             0             0             0             0
 U3                 0             0             0             0             0
 U4#1               0             0             0             0             0
 U4                 0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           THETA
              U1#1          U1            U2#1          U2            U3#1
              ________      ________      ________      ________      ________
 U1#1               0
 U1                 0             0
 U2#1               0             0             0
 U2                 0             0             0             0
 U3#1               0             0             0             0             0
 U3                 0             0             0             0             0
 U4#1               0             0             0             0             0
 U4                 0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           THETA
              U3            U4#1          U4            X             W
              ________      ________      ________      ________      ________
 U3                 0
 U4#1               0             0
 U4                 0             0             0
 X                  0             0             0             0
 W                  0             0             0             0             0


           ALPHA
              IW            SW            IIW           SIW           IB
              ________      ________      ________      ________      ________
 1                  0             0             0             0             7


           ALPHA
              SB            IIB           SIB           X             W
              ________      ________      ________      ________      ________
 1                  8             0             9             0             0


           BETA
              IW            SW            IIW           SIW           IB
              ________      ________      ________      ________      ________
 IW                 0             0             0             0             0
 SW                 0             0             0             0             0
 IIW                0             0             0             0             0
 SIW                0             0             0             0             0
 IB                 0             0             0             0             0
 SB                 0             0             0             0             0
 IIB                0             0             0             0             0
 SIB                0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           BETA
              SB            IIB           SIB           X             W
              ________      ________      ________      ________      ________
 IW                 0             0             0             0             0
 SW                 0             0             0             0             0
 IIW                0             0             0             0             0
 SIW                0             0             0             0             0
 IB                 0             0             0             0            10
 SB                 0             0             0             0             0
 IIB                0             0             0             0             0
 SIB                0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           PSI
              IW            SW            IIW           SIW           IB
              ________      ________      ________      ________      ________
 IW                 0
 SW                 0             0
 IIW                0             0             0
 SIW                0             0             0             0
 IB                 0             0             0             0            11
 SB                 0             0             0             0             0
 IIB                0             0             0             0             0
 SIB                0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0


           PSI
              SB            IIB           SIB           X             W
              ________      ________      ________      ________      ________
 SB                 0
 IIB                0             0
 SIB                0             0             0
 X                  0             0             0             0
 W                  0             0             0             0             0


     STARTING VALUES FOR WITHIN


           NU
              U1#1          U1            U2#1          U2            U3#1
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           NU
              U3            U4#1          U4            X             W
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           LAMBDA
              IW            SW            IIW           SIW           IB
              ________      ________      ________      ________      ________
 U1#1           0.000         0.000         1.000         0.000         0.000
 U1             1.000         0.000         0.000         0.000         0.000
 U2#1           0.000         0.000         1.000         1.000         0.000
 U2             1.000         1.000         0.000         0.000         0.000
 U3#1           0.000         0.000         1.000         2.000         0.000
 U3             1.000         2.000         0.000         0.000         0.000
 U4#1           0.000         0.000         1.000         3.000         0.000
 U4             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
              SB            IIB           SIB           X             W
              ________      ________      ________      ________      ________
 U1#1           0.000         0.000         0.000         0.000         0.000
 U1             0.000         0.000         0.000         0.000         0.000
 U2#1           0.000         0.000         0.000         0.000         0.000
 U2             0.000         0.000         0.000         0.000         0.000
 U3#1           0.000         0.000         0.000         0.000         0.000
 U3             0.000         0.000         0.000         0.000         0.000
 U4#1           0.000         0.000         0.000         0.000         0.000
 U4             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         1.000         0.000
 W              0.000         0.000         0.000         0.000         1.000


           THETA
              U1#1          U1            U2#1          U2            U3#1
              ________      ________      ________      ________      ________
 U1#1           0.000
 U1             0.000         0.000
 U2#1           0.000         0.000         0.000
 U2             0.000         0.000         0.000         0.000
 U3#1           0.000         0.000         0.000         0.000         0.000
 U3             0.000         0.000         0.000         0.000         0.000
 U4#1           0.000         0.000         0.000         0.000         0.000
 U4             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


           THETA
              U3            U4#1          U4            X             W
              ________      ________      ________      ________      ________
 U3             0.000
 U4#1           0.000         0.000
 U4             0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           ALPHA
              IW            SW            IIW           SIW           IB
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           ALPHA
              SB            IIB           SIB           X             W
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           BETA
              IW            SW            IIW           SIW           IB
              ________      ________      ________      ________      ________
 IW             0.000         0.000         0.000         0.000         0.000
 SW             0.000         0.000         0.000         0.000         0.000
 IIW            0.000         0.000         0.000         0.000         0.000
 SIW            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
 IIB            0.000         0.000         0.000         0.000         0.000
 SIB            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
              SB            IIB           SIB           X             W
              ________      ________      ________      ________      ________
 IW             0.000         0.000         0.000         0.200         0.000
 SW             0.000         0.000         0.000         0.050         0.000
 IIW            0.000         0.000         0.000         0.000         0.000
 SIW            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
 IIB            0.000         0.000         0.000         0.000         0.000
 SIB            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
              IW            SW            IIW           SIW           IB
              ________      ________      ________      ________      ________
 IW             0.400
 SW             0.000         0.000
 IIW           -0.320         0.000         1.000
 SIW            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
 IIB            0.000         0.000         0.000         0.000         0.000
 SIB            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
              SB            IIB           SIB           X             W
              ________      ________      ________      ________      ________
 SB             0.000
 IIB            0.000         0.000
 SIB            0.000         0.000         0.000
 X              0.000         0.000         0.000         0.500
 W              0.000         0.000         0.000         0.000         0.000


     STARTING VALUES FOR BETWEEN


           NU
              U1#1          U1            U2#1          U2            U3#1
              ________      ________      ________      ________      ________
 1             -0.500         0.000        -0.500         0.000        -0.500


           NU
              U3            U4#1          U4            X             W
              ________      ________      ________      ________      ________
 1              0.000        -0.500         0.000         0.000         0.000


           LAMBDA
              IW            SW            IIW           SIW           IB
              ________      ________      ________      ________      ________
 U1#1           0.000         0.000         0.000         0.000         0.000
 U1             0.000         0.000         0.000         0.000         1.000
 U2#1           0.000         0.000         0.000         0.000         0.000
 U2             0.000         0.000         0.000         0.000         1.000
 U3#1           0.000         0.000         0.000         0.000         0.000
 U3             0.000         0.000         0.000         0.000         1.000
 U4#1           0.000         0.000         0.000         0.000         0.000
 U4             0.000         0.000         0.000         0.000         1.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           LAMBDA
              SB            IIB           SIB           X             W
              ________      ________      ________      ________      ________
 U1#1           0.000         1.000         0.000         0.000         0.000
 U1             0.000         0.000         0.000         0.000         0.000
 U2#1           0.000         1.000         1.000         0.000         0.000
 U2             1.000         0.000         0.000         0.000         0.000
 U3#1           0.000         1.000         2.000         0.000         0.000
 U3             2.000         0.000         0.000         0.000         0.000
 U4#1           0.000         1.000         3.000         0.000         0.000
 U4             3.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         1.000         0.000
 W              0.000         0.000         0.000         0.000         1.000


           THETA
              U1#1          U1            U2#1          U2            U3#1
              ________      ________      ________      ________      ________
 U1#1           0.000
 U1             0.000         0.000
 U2#1           0.000         0.000         0.000
 U2             0.000         0.000         0.000         0.000
 U3#1           0.000         0.000         0.000         0.000         0.000
 U3             0.000         0.000         0.000         0.000         0.000
 U4#1           0.000         0.000         0.000         0.000         0.000
 U4             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


           THETA
              U3            U4#1          U4            X             W
              ________      ________      ________      ________      ________
 U3             0.000
 U4#1           0.000         0.000
 U4             0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           ALPHA
              IW            SW            IIW           SIW           IB
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.200


           ALPHA
              SB            IIB           SIB           X             W
              ________      ________      ________      ________      ________
 1              0.005         0.000        -0.200         0.000         0.000


           BETA
              IW            SW            IIW           SIW           IB
              ________      ________      ________      ________      ________
 IW             0.000         0.000         0.000         0.000         0.000
 SW             0.000         0.000         0.000         0.000         0.000
 IIW            0.000         0.000         0.000         0.000         0.000
 SIW            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
 IIB            0.000         0.000         0.000         0.000         0.000
 SIB            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
              SB            IIB           SIB           X             W
              ________      ________      ________      ________      ________
 IW             0.000         0.000         0.000         0.000         0.000
 SW             0.000         0.000         0.000         0.000         0.000
 IIW            0.000         0.000         0.000         0.000         0.000
 SIW            0.000         0.000         0.000         0.000         0.000
 IB             0.000         0.000         0.000         0.000         0.500
 SB             0.000         0.000         0.000         0.000         0.000
 IIB            0.000         0.000         0.000         0.000         0.000
 SIB            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
              IW            SW            IIW           SIW           IB
              ________      ________      ________      ________      ________
 IW             0.000
 SW             0.000         0.000
 IIW            0.000         0.000         0.000
 SIW            0.000         0.000         0.000         0.000
 IB             0.000         0.000         0.000         0.000         0.200
 SB             0.000         0.000         0.000         0.000         0.000
 IIB            0.000         0.000         0.000         0.000         0.000
 SIB            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
              SB            IIB           SIB           X             W
              ________      ________      ________      ________      ________
 SB             0.000
 IIB            0.000         0.000
 SIB            0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.500


     POPULATION VALUES FOR WITHIN


           NU
              U1#1          U1            U2#1          U2            U3#1
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           NU
              U3            U4#1          U4            X             W
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           LAMBDA
              IW            SW            IIW           SIW           IB
              ________      ________      ________      ________      ________
 U1#1           0.000         0.000         1.000         0.000         0.000
 U1             1.000         0.000         0.000         0.000         0.000
 U2#1           0.000         0.000         1.000         1.000         0.000
 U2             1.000         1.000         0.000         0.000         0.000
 U3#1           0.000         0.000         1.000         2.000         0.000
 U3             1.000         2.000         0.000         0.000         0.000
 U4#1           0.000         0.000         1.000         3.000         0.000
 U4             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
              SB            IIB           SIB           X             W
              ________      ________      ________      ________      ________
 U1#1           0.000         0.000         0.000         0.000         0.000
 U1             0.000         0.000         0.000         0.000         0.000
 U2#1           0.000         0.000         0.000         0.000         0.000
 U2             0.000         0.000         0.000         0.000         0.000
 U3#1           0.000         0.000         0.000         0.000         0.000
 U3             0.000         0.000         0.000         0.000         0.000
 U4#1           0.000         0.000         0.000         0.000         0.000
 U4             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         1.000         0.000
 W              0.000         0.000         0.000         0.000         1.000


           THETA
              U1#1          U1            U2#1          U2            U3#1
              ________      ________      ________      ________      ________
 U1#1           0.000
 U1             0.000         0.000
 U2#1           0.000         0.000         0.000
 U2             0.000         0.000         0.000         0.000
 U3#1           0.000         0.000         0.000         0.000         0.000
 U3             0.000         0.000         0.000         0.000         0.000
 U4#1           0.000         0.000         0.000         0.000         0.000
 U4             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


           THETA
              U3            U4#1          U4            X             W
              ________      ________      ________      ________      ________
 U3             0.000
 U4#1           0.000         0.000
 U4             0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           ALPHA
              IW            SW            IIW           SIW           IB
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           ALPHA
              SB            IIB           SIB           X             W
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           BETA
              IW            SW            IIW           SIW           IB
              ________      ________      ________      ________      ________
 IW             0.000         0.000         0.000         0.000         0.000
 SW             0.000         0.000         0.000         0.000         0.000
 IIW            0.000         0.000         0.000         0.000         0.000
 SIW            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
 IIB            0.000         0.000         0.000         0.000         0.000
 SIB            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
              SB            IIB           SIB           X             W
              ________      ________      ________      ________      ________
 IW             0.000         0.000         0.000         0.200         0.000
 SW             0.000         0.000         0.000         0.050         0.000
 IIW            0.000         0.000         0.000         0.000         0.000
 SIW            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
 IIB            0.000         0.000         0.000         0.000         0.000
 SIB            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
              IW            SW            IIW           SIW           IB
              ________      ________      ________      ________      ________
 IW             0.400
 SW             0.000         0.000
 IIW           -0.320         0.000         1.000
 SIW            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
 IIB            0.000         0.000         0.000         0.000         0.000
 SIB            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
              SB            IIB           SIB           X             W
              ________      ________      ________      ________      ________
 SB             0.000
 IIB            0.000         0.000
 SIB            0.000         0.000         0.000
 X              0.000         0.000         0.000         1.000
 W              0.000         0.000         0.000         0.000         0.000


     POPULATION VALUES FOR BETWEEN


           NU
              U1#1          U1            U2#1          U2            U3#1
              ________      ________      ________      ________      ________
 1             -0.500         0.000        -0.500         0.000        -0.500


           NU
              U3            U4#1          U4            X             W
              ________      ________      ________      ________      ________
 1              0.000        -0.500         0.000         0.000         0.000


           LAMBDA
              IW            SW            IIW           SIW           IB
              ________      ________      ________      ________      ________
 U1#1           0.000         0.000         0.000         0.000         0.000
 U1             0.000         0.000         0.000         0.000         1.000
 U2#1           0.000         0.000         0.000         0.000         0.000
 U2             0.000         0.000         0.000         0.000         1.000
 U3#1           0.000         0.000         0.000         0.000         0.000
 U3             0.000         0.000         0.000         0.000         1.000
 U4#1           0.000         0.000         0.000         0.000         0.000
 U4             0.000         0.000         0.000         0.000         1.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           LAMBDA
              SB            IIB           SIB           X             W
              ________      ________      ________      ________      ________
 U1#1           0.000         1.000         0.000         0.000         0.000
 U1             0.000         0.000         0.000         0.000         0.000
 U2#1           0.000         1.000         1.000         0.000         0.000
 U2             1.000         0.000         0.000         0.000         0.000
 U3#1           0.000         1.000         2.000         0.000         0.000
 U3             2.000         0.000         0.000         0.000         0.000
 U4#1           0.000         1.000         3.000         0.000         0.000
 U4             3.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         1.000         0.000
 W              0.000         0.000         0.000         0.000         1.000


           THETA
              U1#1          U1            U2#1          U2            U3#1
              ________      ________      ________      ________      ________
 U1#1           0.000
 U1             0.000         0.000
 U2#1           0.000         0.000         0.000
 U2             0.000         0.000         0.000         0.000
 U3#1           0.000         0.000         0.000         0.000         0.000
 U3             0.000         0.000         0.000         0.000         0.000
 U4#1           0.000         0.000         0.000         0.000         0.000
 U4             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


           THETA
              U3            U4#1          U4            X             W
              ________      ________      ________      ________      ________
 U3             0.000
 U4#1           0.000         0.000
 U4             0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           ALPHA
              IW            SW            IIW           SIW           IB
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.200


           ALPHA
              SB            IIB           SIB           X             W
              ________      ________      ________      ________      ________
 1              0.005         0.000        -0.200         0.000         0.000


           BETA
              IW            SW            IIW           SIW           IB
              ________      ________      ________      ________      ________
 IW             0.000         0.000         0.000         0.000         0.000
 SW             0.000         0.000         0.000         0.000         0.000
 IIW            0.000         0.000         0.000         0.000         0.000
 SIW            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
 IIB            0.000         0.000         0.000         0.000         0.000
 SIB            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
              SB            IIB           SIB           X             W
              ________      ________      ________      ________      ________
 IW             0.000         0.000         0.000         0.000         0.000
 SW             0.000         0.000         0.000         0.000         0.000
 IIW            0.000         0.000         0.000         0.000         0.000
 SIW            0.000         0.000         0.000         0.000         0.000
 IB             0.000         0.000         0.000         0.000         0.500
 SB             0.000         0.000         0.000         0.000         0.000
 IIB            0.000         0.000         0.000         0.000         0.000
 SIB            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
              IW            SW            IIW           SIW           IB
              ________      ________      ________      ________      ________
 IW             0.000
 SW             0.000         0.000
 IIW            0.000         0.000         0.000
 SIW            0.000         0.000         0.000         0.000
 IB             0.000         0.000         0.000         0.000         0.200
 SB             0.000         0.000         0.000         0.000         0.000
 IIB            0.000         0.000         0.000         0.000         0.000
 SIB            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
              SB            IIB           SIB           X             W
              ________      ________      ________      ________      ________
 SB             0.000
 IIB            0.000         0.000
 SIB            0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000
 W              0.000         0.000         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 -0.55178783D+04    0.0000000    0.0000000  EM
              2 -0.55144995D+04    3.3787785    0.0006123  FS
              3 -0.55140938D+04    0.4057705    0.0000736  FS
              4 -0.55127223D+04    1.3714619    0.0002487  FS
              5 -0.55126338D+04    0.0884734    0.0000160  FS
              6 -0.55124040D+04    0.2298068    0.0000417  FS
              7 -0.55123184D+04    0.0856427    0.0000155  EM
              8 -0.55123149D+04    0.0035144    0.0000006  FS
              9 -0.55122867D+04    0.0281315    0.0000051  FS
             10 -0.55123196D+04   -0.0329135   -0.0000060  EM


TECHNICAL 9 OUTPUT

  Error messages for each replication (if any)



SAVEDATA INFORMATION

  Order of variables

    U1
    U2
    U3
    U4
    X
    W
    CLUSTER

  Save file
    ex9.17.dat

  Save file format           Free
  Save file record length    10000


     Beginning Time:  17:20:59
        Ending Time:  17:21:10
       Elapsed Time:  00:00:11



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