Mplus VERSION 7.2
MUTHEN & MUTHEN
05/07/2014   2:08 PM

INPUT INSTRUCTIONS

      title:  this is an example of longitudinal modeling using a
              cross-classified data approach where observations
              are nested within the cross-classification of
              time and subjects

      montecarlo:
      		names are y1-y3;
      		nobservations = 7500;
      		nreps = 1;
      		csizes = 75[100(1)];! 75 subjects (2b), 100 time points (2a)
      		ncsize = 1[1];
              within = (level2a) y1-y3;
              save = ex9.27.dat;

      analysis:
              type = cross random;
      		estimator = bayes;
              proc = 2;

      model population:
      		%within%
      		s1-s3 | f by y1-y3;
              f@1;
              y1-y3*1.2; [y1-y3@0];

      		%between level2a% ! across time variation
      		s1-s3*0.1;
              [s1-s3*1.3];
              y1-y3*.5; [y1-y3@0];

      		%between level2b% ! across subjects variation
      		f*1; [f*.5];	  	
    		    s1-s3@0;
              [s1-s3@0];


      model:
              %within%
      		s1-s3 | f by y1-y3;
              f@1;
              y1-y3*1.2; [y1-y3@0];

      		%between level2a% ! across time variation
      		s1-s3*0.1;
              [s1-s3*1.3];
              y1-y3*.5; [y1-y3@0];

      		%between level2b% ! across subjects variation
      		f*1; [f*.5];	  	
    		    s1-s3@0;
              [s1-s3@0];

      output:
      		tech8;




INPUT READING TERMINATED NORMALLY



this is an example of longitudinal modeling using a
cross-classified data approach where observations
are nested within the cross-classification of
time and subjects

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                        7500

Number of replications
    Requested                                                    1
    Completed                                                    1
Value of seed                                                    0

Number of dependent variables                                    3
Number of independent variables                                  0
Number of continuous latent variables                            4

Observed dependent variables

  Continuous
   Y1          Y2          Y3

Continuous latent variables
   F           S1          S2          S3


Estimator                                                    BAYES
Specifications for Bayesian Estimation
  Point estimate                                            MEDIAN
  Number of Markov chain Monte Carlo (MCMC) chains               2
  Random seed for the first chain                                0
  Starting value information                           UNPERTURBED
  Treatment of categorical mediator                         LATENT
  Algorithm used for Markov chain Monte Carlo           GIBBS(PX1)
  Convergence criterion                                  0.500D-01
  Maximum number of iterations                               50000
  K-th iteration used for thinning                               1


SUMMARY OF DATA FOR THE FIRST REPLICATION

     Cluster information

     Number of level 2a clusters          100
     Number of level 2b clusters           75






MODEL FIT INFORMATION

Number of Free Parameters                       14



MODEL RESULTS

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

 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

 Variances
  F                   1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

 Residual Variances
  Y1                  1.200     1.1980     0.0000     0.0297     0.0000 1.000 1.000
  Y2                  1.200     1.1837     0.0000     0.0282     0.0003 1.000 1.000
  Y3                  1.200     1.1944     0.0000     0.0256     0.0000 1.000 1.000

Between LEVEL2A Level

 Means
  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
  S1                  1.300     1.3074     0.0000     0.0302     0.0001 1.000 1.000
  S2                  1.300     1.3576     0.0000     0.0381     0.0033 1.000 1.000
  S3                  1.300     1.3122     0.0000     0.0350     0.0001 1.000 1.000

 Variances
  Y1                  0.500     0.4401     0.0000     0.0681     0.0036 1.000 1.000
  Y2                  0.500     0.4717     0.0000     0.0746     0.0008 1.000 1.000
  Y3                  0.500     0.4477     0.0000     0.0717     0.0027 1.000 1.000
  S1                  0.100     0.0867     0.0000     0.0148     0.0002 1.000 1.000
  S2                  0.100     0.0972     0.0000     0.0184     0.0000 1.000 1.000
  S3                  0.100     0.1143     0.0000     0.0188     0.0002 1.000 1.000

Between LEVEL2B Level

 Means
  F                   0.500     0.4116     0.0000     0.1128     0.0078 1.000 1.000
  S1                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  S2                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  S3                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

 Variances
  F                   1.000     0.9407     0.0000     0.1594     0.0035 1.000 1.000
  S1                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  S2                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  S3                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR WITHIN


           NU
              Y1            Y2            Y3
              ________      ________      ________
 1                  0             0             0


           LAMBDA
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 Y1                 0             0             0             0             0
 Y2                 0             0             0             0             0
 Y3                 0             0             0             0             0


           LAMBDA
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 Y1                 0             0             0             0
 Y2                 0             0             0             0
 Y3                 0             0             0             0


           THETA
              Y1            Y2            Y3
              ________      ________      ________
 Y1                 1
 Y2                 0             2
 Y3                 0             0             3


           ALPHA
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           ALPHA
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 1                  0             0             0             0


           BETA
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 F%W                0             0             0             0             0
 F%2a               0             0             0             0             0
 S1%2a              0             0             0             0             0
 S2%2a              0             0             0             0             0
 S3%2a              0             0             0             0             0
 F%2b               0             0             0             0             0
 S1%2b              0             0             0             0             0
 S2%2b              0             0             0             0             0
 S3%2b              0             0             0             0             0


           BETA
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 F%W                0             0             0             0
 F%2a               0             0             0             0
 S1%2a              0             0             0             0
 S2%2a              0             0             0             0
 S3%2a              0             0             0             0
 F%2b               0             0             0             0
 S1%2b              0             0             0             0
 S2%2b              0             0             0             0
 S3%2b              0             0             0             0


           PSI
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 F%W                0
 F%2a               0             0
 S1%2a              0             0             0
 S2%2a              0             0             0             0
 S3%2a              0             0             0             0             0
 F%2b               0             0             0             0             0
 S1%2b              0             0             0             0             0
 S2%2b              0             0             0             0             0
 S3%2b              0             0             0             0             0


           PSI
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 F%2b               0
 S1%2b              0             0
 S2%2b              0             0             0
 S3%2b              0             0             0             0


     PARAMETER SPECIFICATION FOR BETWEEN LEVEL2A


           NU
              Y1            Y2            Y3
              ________      ________      ________
 1                  0             0             0


           LAMBDA
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 Y1                 0             0             0             0             0
 Y2                 0             0             0             0             0
 Y3                 0             0             0             0             0


           LAMBDA
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 Y1                 0             0             0             0
 Y2                 0             0             0             0
 Y3                 0             0             0             0


           THETA
              Y1            Y2            Y3
              ________      ________      ________
 Y1                 4
 Y2                 0             5
 Y3                 0             0             6


           ALPHA
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 1                  0             0             7             8             9


           ALPHA
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 1                  0             0             0             0


           BETA
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 F%W                0             0             0             0             0
 F%2a               0             0             0             0             0
 S1%2a              0             0             0             0             0
 S2%2a              0             0             0             0             0
 S3%2a              0             0             0             0             0
 F%2b               0             0             0             0             0
 S1%2b              0             0             0             0             0
 S2%2b              0             0             0             0             0
 S3%2b              0             0             0             0             0


           BETA
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 F%W                0             0             0             0
 F%2a               0             0             0             0
 S1%2a              0             0             0             0
 S2%2a              0             0             0             0
 S3%2a              0             0             0             0
 F%2b               0             0             0             0
 S1%2b              0             0             0             0
 S2%2b              0             0             0             0
 S3%2b              0             0             0             0


           PSI
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 F%W                0
 F%2a               0             0
 S1%2a              0             0            10
 S2%2a              0             0             0            11
 S3%2a              0             0             0             0            12
 F%2b               0             0             0             0             0
 S1%2b              0             0             0             0             0
 S2%2b              0             0             0             0             0
 S3%2b              0             0             0             0             0


           PSI
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 F%2b               0
 S1%2b              0             0
 S2%2b              0             0             0
 S3%2b              0             0             0             0


     PARAMETER SPECIFICATION FOR BETWEEN LEVEL2B


           NU
              Y1            Y2            Y3
              ________      ________      ________
 1                  0             0             0


           LAMBDA
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 Y1                 0             0             0             0             0
 Y2                 0             0             0             0             0
 Y3                 0             0             0             0             0


           LAMBDA
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 Y1                 0             0             0             0
 Y2                 0             0             0             0
 Y3                 0             0             0             0


           THETA
              Y1            Y2            Y3
              ________      ________      ________
 Y1                 0
 Y2                 0             0
 Y3                 0             0             0


           ALPHA
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           ALPHA
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 1                 13             0             0             0


           BETA
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 F%W                0             0             0             0             0
 F%2a               0             0             0             0             0
 S1%2a              0             0             0             0             0
 S2%2a              0             0             0             0             0
 S3%2a              0             0             0             0             0
 F%2b               0             0             0             0             0
 S1%2b              0             0             0             0             0
 S2%2b              0             0             0             0             0
 S3%2b              0             0             0             0             0


           BETA
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 F%W                0             0             0             0
 F%2a               0             0             0             0
 S1%2a              0             0             0             0
 S2%2a              0             0             0             0
 S3%2a              0             0             0             0
 F%2b               0             0             0             0
 S1%2b              0             0             0             0
 S2%2b              0             0             0             0
 S3%2b              0             0             0             0


           PSI
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 F%W                0
 F%2a               0             0
 S1%2a              0             0             0
 S2%2a              0             0             0             0
 S3%2a              0             0             0             0             0
 F%2b               0             0             0             0             0
 S1%2b              0             0             0             0             0
 S2%2b              0             0             0             0             0
 S3%2b              0             0             0             0             0


           PSI
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 F%2b              14
 S1%2b              0             0
 S2%2b              0             0             0
 S3%2b              0             0             0             0


     STARTING VALUES FOR WITHIN


           NU
              Y1            Y2            Y3
              ________      ________      ________
 1              0.000         0.000         0.000


           LAMBDA
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 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


           LAMBDA
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 Y1             0.000         0.000         0.000         0.000
 Y2             0.000         0.000         0.000         0.000
 Y3             0.000         0.000         0.000         0.000


           THETA
              Y1            Y2            Y3
              ________      ________      ________
 Y1             1.200
 Y2             0.000         1.200
 Y3             0.000         0.000         1.200


           ALPHA
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           ALPHA
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000


           BETA
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 F%W            0.000         0.000         0.000         0.000         0.000
 F%2a           0.000         0.000         0.000         0.000         0.000
 S1%2a          0.000         0.000         0.000         0.000         0.000
 S2%2a          0.000         0.000         0.000         0.000         0.000
 S3%2a          0.000         0.000         0.000         0.000         0.000
 F%2b           0.000         0.000         0.000         0.000         0.000
 S1%2b          0.000         0.000         0.000         0.000         0.000
 S2%2b          0.000         0.000         0.000         0.000         0.000
 S3%2b          0.000         0.000         0.000         0.000         0.000


           BETA
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 F%W            0.000         0.000         0.000         0.000
 F%2a           0.000         0.000         0.000         0.000
 S1%2a          0.000         0.000         0.000         0.000
 S2%2a          0.000         0.000         0.000         0.000
 S3%2a          0.000         0.000         0.000         0.000
 F%2b           0.000         0.000         0.000         0.000
 S1%2b          0.000         0.000         0.000         0.000
 S2%2b          0.000         0.000         0.000         0.000
 S3%2b          0.000         0.000         0.000         0.000


           PSI
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 F%W            1.000
 F%2a           0.000         0.000
 S1%2a          0.000         0.000         0.000
 S2%2a          0.000         0.000         0.000         0.000
 S3%2a          0.000         0.000         0.000         0.000         0.000
 F%2b           0.000         0.000         0.000         0.000         0.000
 S1%2b          0.000         0.000         0.000         0.000         0.000
 S2%2b          0.000         0.000         0.000         0.000         0.000
 S3%2b          0.000         0.000         0.000         0.000         0.000


           PSI
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 F%2b           0.000
 S1%2b          0.000         0.000
 S2%2b          0.000         0.000         0.000
 S3%2b          0.000         0.000         0.000         0.000


     STARTING VALUES FOR BETWEEN LEVEL2A


           NU
              Y1            Y2            Y3
              ________      ________      ________
 1              0.000         0.000         0.000


           LAMBDA
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 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


           LAMBDA
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 Y1             0.000         0.000         0.000         0.000
 Y2             0.000         0.000         0.000         0.000
 Y3             0.000         0.000         0.000         0.000


           THETA
              Y1            Y2            Y3
              ________      ________      ________
 Y1             0.500
 Y2             0.000         0.500
 Y3             0.000         0.000         0.500


           ALPHA
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 1              0.000         0.000         1.300         1.300         1.300


           ALPHA
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000


           BETA
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 F%W            0.000         0.000         0.000         0.000         0.000
 F%2a           0.000         0.000         0.000         0.000         0.000
 S1%2a          0.000         0.000         0.000         0.000         0.000
 S2%2a          0.000         0.000         0.000         0.000         0.000
 S3%2a          0.000         0.000         0.000         0.000         0.000
 F%2b           0.000         0.000         0.000         0.000         0.000
 S1%2b          0.000         0.000         0.000         0.000         0.000
 S2%2b          0.000         0.000         0.000         0.000         0.000
 S3%2b          0.000         0.000         0.000         0.000         0.000


           BETA
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 F%W            0.000         0.000         0.000         0.000
 F%2a           0.000         0.000         0.000         0.000
 S1%2a          0.000         0.000         0.000         0.000
 S2%2a          0.000         0.000         0.000         0.000
 S3%2a          0.000         0.000         0.000         0.000
 F%2b           0.000         0.000         0.000         0.000
 S1%2b          0.000         0.000         0.000         0.000
 S2%2b          0.000         0.000         0.000         0.000
 S3%2b          0.000         0.000         0.000         0.000


           PSI
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 F%W            0.000
 F%2a           0.000         0.000
 S1%2a          0.000         0.000         0.100
 S2%2a          0.000         0.000         0.000         0.100
 S3%2a          0.000         0.000         0.000         0.000         0.100
 F%2b           0.000         0.000         0.000         0.000         0.000
 S1%2b          0.000         0.000         0.000         0.000         0.000
 S2%2b          0.000         0.000         0.000         0.000         0.000
 S3%2b          0.000         0.000         0.000         0.000         0.000


           PSI
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 F%2b           0.000
 S1%2b          0.000         0.000
 S2%2b          0.000         0.000         0.000
 S3%2b          0.000         0.000         0.000         0.000


     STARTING VALUES FOR BETWEEN LEVEL2B


           NU
              Y1            Y2            Y3
              ________      ________      ________
 1              0.000         0.000         0.000


           LAMBDA
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 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


           LAMBDA
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 Y1             0.000         0.000         0.000         0.000
 Y2             0.000         0.000         0.000         0.000
 Y3             0.000         0.000         0.000         0.000


           THETA
              Y1            Y2            Y3
              ________      ________      ________
 Y1             0.000
 Y2             0.000         0.000
 Y3             0.000         0.000         0.000


           ALPHA
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           ALPHA
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 1              0.500         0.000         0.000         0.000


           BETA
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 F%W            0.000         0.000         0.000         0.000         0.000
 F%2a           0.000         0.000         0.000         0.000         0.000
 S1%2a          0.000         0.000         0.000         0.000         0.000
 S2%2a          0.000         0.000         0.000         0.000         0.000
 S3%2a          0.000         0.000         0.000         0.000         0.000
 F%2b           0.000         0.000         0.000         0.000         0.000
 S1%2b          0.000         0.000         0.000         0.000         0.000
 S2%2b          0.000         0.000         0.000         0.000         0.000
 S3%2b          0.000         0.000         0.000         0.000         0.000


           BETA
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 F%W            0.000         0.000         0.000         0.000
 F%2a           0.000         0.000         0.000         0.000
 S1%2a          0.000         0.000         0.000         0.000
 S2%2a          0.000         0.000         0.000         0.000
 S3%2a          0.000         0.000         0.000         0.000
 F%2b           0.000         0.000         0.000         0.000
 S1%2b          0.000         0.000         0.000         0.000
 S2%2b          0.000         0.000         0.000         0.000
 S3%2b          0.000         0.000         0.000         0.000


           PSI
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 F%W            0.000
 F%2a           0.000         0.000
 S1%2a          0.000         0.000         0.000
 S2%2a          0.000         0.000         0.000         0.000
 S3%2a          0.000         0.000         0.000         0.000         0.000
 F%2b           0.000         0.000         0.000         0.000         0.000
 S1%2b          0.000         0.000         0.000         0.000         0.000
 S2%2b          0.000         0.000         0.000         0.000         0.000
 S3%2b          0.000         0.000         0.000         0.000         0.000


           PSI
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 F%2b           1.000
 S1%2b          0.000         0.000
 S2%2b          0.000         0.000         0.000
 S3%2b          0.000         0.000         0.000         0.000


     POPULATION VALUES FOR WITHIN


           NU
              Y1            Y2            Y3
              ________      ________      ________
 1              0.000         0.000         0.000


           LAMBDA
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 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


           LAMBDA
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 Y1             0.000         0.000         0.000         0.000
 Y2             0.000         0.000         0.000         0.000
 Y3             0.000         0.000         0.000         0.000


           THETA
              Y1            Y2            Y3
              ________      ________      ________
 Y1             1.200
 Y2             0.000         1.200
 Y3             0.000         0.000         1.200


           ALPHA
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           ALPHA
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000


           BETA
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 F%W            0.000         0.000         0.000         0.000         0.000
 F%2a           0.000         0.000         0.000         0.000         0.000
 S1%2a          0.000         0.000         0.000         0.000         0.000
 S2%2a          0.000         0.000         0.000         0.000         0.000
 S3%2a          0.000         0.000         0.000         0.000         0.000
 F%2b           0.000         0.000         0.000         0.000         0.000
 S1%2b          0.000         0.000         0.000         0.000         0.000
 S2%2b          0.000         0.000         0.000         0.000         0.000
 S3%2b          0.000         0.000         0.000         0.000         0.000


           BETA
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 F%W            0.000         0.000         0.000         0.000
 F%2a           0.000         0.000         0.000         0.000
 S1%2a          0.000         0.000         0.000         0.000
 S2%2a          0.000         0.000         0.000         0.000
 S3%2a          0.000         0.000         0.000         0.000
 F%2b           0.000         0.000         0.000         0.000
 S1%2b          0.000         0.000         0.000         0.000
 S2%2b          0.000         0.000         0.000         0.000
 S3%2b          0.000         0.000         0.000         0.000


           PSI
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 F%W            1.000
 F%2a           0.000         0.000
 S1%2a          0.000         0.000         0.000
 S2%2a          0.000         0.000         0.000         0.000
 S3%2a          0.000         0.000         0.000         0.000         0.000
 F%2b           0.000         0.000         0.000         0.000         0.000
 S1%2b          0.000         0.000         0.000         0.000         0.000
 S2%2b          0.000         0.000         0.000         0.000         0.000
 S3%2b          0.000         0.000         0.000         0.000         0.000


           PSI
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 F%2b           0.000
 S1%2b          0.000         0.000
 S2%2b          0.000         0.000         0.000
 S3%2b          0.000         0.000         0.000         0.000


     POPULATION VALUES FOR BETWEEN LEVEL2A


           NU
              Y1            Y2            Y3
              ________      ________      ________
 1              0.000         0.000         0.000


           LAMBDA
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 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


           LAMBDA
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 Y1             0.000         0.000         0.000         0.000
 Y2             0.000         0.000         0.000         0.000
 Y3             0.000         0.000         0.000         0.000


           THETA
              Y1            Y2            Y3
              ________      ________      ________
 Y1             0.500
 Y2             0.000         0.500
 Y3             0.000         0.000         0.500


           ALPHA
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 1              0.000         0.000         1.300         1.300         1.300


           ALPHA
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000


           BETA
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 F%W            0.000         0.000         0.000         0.000         0.000
 F%2a           0.000         0.000         0.000         0.000         0.000
 S1%2a          0.000         0.000         0.000         0.000         0.000
 S2%2a          0.000         0.000         0.000         0.000         0.000
 S3%2a          0.000         0.000         0.000         0.000         0.000
 F%2b           0.000         0.000         0.000         0.000         0.000
 S1%2b          0.000         0.000         0.000         0.000         0.000
 S2%2b          0.000         0.000         0.000         0.000         0.000
 S3%2b          0.000         0.000         0.000         0.000         0.000


           BETA
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 F%W            0.000         0.000         0.000         0.000
 F%2a           0.000         0.000         0.000         0.000
 S1%2a          0.000         0.000         0.000         0.000
 S2%2a          0.000         0.000         0.000         0.000
 S3%2a          0.000         0.000         0.000         0.000
 F%2b           0.000         0.000         0.000         0.000
 S1%2b          0.000         0.000         0.000         0.000
 S2%2b          0.000         0.000         0.000         0.000
 S3%2b          0.000         0.000         0.000         0.000


           PSI
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 F%W            0.000
 F%2a           0.000         0.000
 S1%2a          0.000         0.000         0.100
 S2%2a          0.000         0.000         0.000         0.100
 S3%2a          0.000         0.000         0.000         0.000         0.100
 F%2b           0.000         0.000         0.000         0.000         0.000
 S1%2b          0.000         0.000         0.000         0.000         0.000
 S2%2b          0.000         0.000         0.000         0.000         0.000
 S3%2b          0.000         0.000         0.000         0.000         0.000


           PSI
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 F%2b           0.000
 S1%2b          0.000         0.000
 S2%2b          0.000         0.000         0.000
 S3%2b          0.000         0.000         0.000         0.000


     POPULATION VALUES FOR BETWEEN LEVEL2B


           NU
              Y1            Y2            Y3
              ________      ________      ________
 1              0.000         0.000         0.000


           LAMBDA
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 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


           LAMBDA
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 Y1             0.000         0.000         0.000         0.000
 Y2             0.000         0.000         0.000         0.000
 Y3             0.000         0.000         0.000         0.000


           THETA
              Y1            Y2            Y3
              ________      ________      ________
 Y1             0.000
 Y2             0.000         0.000
 Y3             0.000         0.000         0.000


           ALPHA
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           ALPHA
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 1              0.500         0.000         0.000         0.000


           BETA
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 F%W            0.000         0.000         0.000         0.000         0.000
 F%2a           0.000         0.000         0.000         0.000         0.000
 S1%2a          0.000         0.000         0.000         0.000         0.000
 S2%2a          0.000         0.000         0.000         0.000         0.000
 S3%2a          0.000         0.000         0.000         0.000         0.000
 F%2b           0.000         0.000         0.000         0.000         0.000
 S1%2b          0.000         0.000         0.000         0.000         0.000
 S2%2b          0.000         0.000         0.000         0.000         0.000
 S3%2b          0.000         0.000         0.000         0.000         0.000


           BETA
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 F%W            0.000         0.000         0.000         0.000
 F%2a           0.000         0.000         0.000         0.000
 S1%2a          0.000         0.000         0.000         0.000
 S2%2a          0.000         0.000         0.000         0.000
 S3%2a          0.000         0.000         0.000         0.000
 F%2b           0.000         0.000         0.000         0.000
 S1%2b          0.000         0.000         0.000         0.000
 S2%2b          0.000         0.000         0.000         0.000
 S3%2b          0.000         0.000         0.000         0.000


           PSI
              F%W           F%2a          S1%2a         S2%2a         S3%2a
              ________      ________      ________      ________      ________
 F%W            0.000
 F%2a           0.000         0.000
 S1%2a          0.000         0.000         0.000
 S2%2a          0.000         0.000         0.000         0.000
 S3%2a          0.000         0.000         0.000         0.000         0.000
 F%2b           0.000         0.000         0.000         0.000         0.000
 S1%2b          0.000         0.000         0.000         0.000         0.000
 S2%2b          0.000         0.000         0.000         0.000         0.000
 S3%2b          0.000         0.000         0.000         0.000         0.000


           PSI
              F%2b          S1%2b         S2%2b         S3%2b
              ________      ________      ________      ________
 F%2b           1.000
 S1%2b          0.000         0.000
 S2%2b          0.000         0.000         0.000
 S3%2b          0.000         0.000         0.000         0.000



     PRIORS FOR ALL PARAMETERS            PRIOR MEAN      PRIOR VARIANCE     PRIOR STD. DEV.

     Parameter 1~IG(-1.000,0.000)          infinity            infinity            infinity
     Parameter 2~IG(-1.000,0.000)          infinity            infinity            infinity
     Parameter 3~IG(-1.000,0.000)          infinity            infinity            infinity
     Parameter 4~IG(-1.000,0.000)          infinity            infinity            infinity
     Parameter 5~IG(-1.000,0.000)          infinity            infinity            infinity
     Parameter 6~IG(-1.000,0.000)          infinity            infinity            infinity
     Parameter 7~N(0.000,infinity)           0.0000            infinity            infinity
     Parameter 8~N(0.000,infinity)           0.0000            infinity            infinity
     Parameter 9~N(0.000,infinity)           0.0000            infinity            infinity
     Parameter 10~IG(-1.000,0.000)         infinity            infinity            infinity
     Parameter 11~IG(-1.000,0.000)         infinity            infinity            infinity
     Parameter 12~IG(-1.000,0.000)         infinity            infinity            infinity
     Parameter 13~N(0.000,infinity)          0.0000            infinity            infinity
     Parameter 14~IG(-1.000,0.000)         infinity            infinity            infinity


TECHNICAL 8 OUTPUT

     REPLICATION 1:



     Kolmogorov-Smirnov comparing posterior distributions across chains 1 and 2 using 100 draws.





     Parameter   KS Statistic P-value
     Parameter 1    0.1300    0.3439
     Parameter 4    0.1200    0.4431
     Parameter 8    0.1000    0.6766
     Parameter 9    0.1000    0.6766
     Parameter 14    0.1000    0.6766
     Parameter 13    0.0900    0.7942
     Parameter 6    0.0700    0.9610
     Parameter 5    0.0500    0.9995
     Parameter 10    0.0400    1.0000
     Parameter 2    0.0300    1.0000
     Parameter 7    0.0100    1.0000
     Parameter 12    0.0100    1.0000
     Parameter 3    0.0100    1.0000
     Parameter 11    0.0100    1.0000



     Simulated prior distributions

     Parameter       Prior Mean  Prior Variance  Prior Std. Dev.


     Parameter 1 Improper Prior
     Parameter 2 Improper Prior
     Parameter 3 Improper Prior
     Parameter 4 Improper Prior
     Parameter 5 Improper Prior
     Parameter 6 Improper Prior
     Parameter 7 Improper Prior
     Parameter 8 Improper Prior
     Parameter 9 Improper Prior
     Parameter 10 Improper Prior
     Parameter 11 Improper Prior
     Parameter 12 Improper Prior
     Parameter 13 Improper Prior
     Parameter 14 Improper Prior


   TECHNICAL 8 OUTPUT FOR BAYES ESTIMATION

     CHAIN    BSEED
     1        0
     2        285380

     REPLICATION 1:


                     POTENTIAL       PARAMETER WITH
     ITERATION    SCALE REDUCTION      HIGHEST PSR
     100              1.164               3
     200              1.045               1


SAVEDATA INFORMATION

  Order of variables

    Y1
    Y2
    Y3
    LEVEL2A
    LEVEL2B

  Save file
    ex9.27.dat

  Save file format           Free
  Save file record length    10000


     Beginning Time:  14:08:32
        Ending Time:  14:09:03
       Elapsed Time:  00:00:31



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