Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022  10:22 PM

INPUT INSTRUCTIONS

  TITLE:	
      this is an example of multiple imputation
      using a two-level factor model
      with categorical outcomes

      Data are generated in line with mcex9.15 as
      a two-level multiple indicator growth model
      with categorical outcomes (three-level analysis), but
      adding missingness for the outcomes and using Bayes
      estimation

  montecarlo:
  	names are u11 u21 u31 u12 u22 u32 u13 u23 u33;
      generate = u11-u33(1);
      categorical = u11-u33;
  	nobservations = 1000;
  	ncsizes = 1;
  	csizes = 20 (50);
  	seed = 58476;
  	nreps = 1;
      missing = u12-u33;
  	save = ex11.8.dat;


  model population:

  	%within%
  	
  	f1w BY	u11@1
  			u21*.9 (1)
  			u31*.8 (2);
  	f2w BY 	u12@1
  			u22*.9 (1)
  			u32*.8 (2);
  	f3w BY 	u13@1
  			u23*.9 (1)
  			u33*.8 (2);

  	iw sw | f1w@0 f2w@1 f3w@2;

  	iw*1; sw*.5; f1w-f3w*.5;


  	%between%
  	
  	f1b BY	u11@1
  			u21*.9 (1)
  			u31*.8 (2);
  	f2b BY 	u12@1
  			u22*.9 (1)
  			u32*.8 (2);
  	f3b BY 	u13@1
  			u23*.9 (1)
  			u33*.8 (2);

  	[u11$1*0 u12$1*0 u13$1*0] (3);
  	[u21$1*-.5 u22$1*-.5 u23$1*-.5] (4);
  	[u31$1*.5 u32$1*.5 u33$1*.5] (5);

  	u11-u33*.5;

  	ib sb | f1b@0 f2b@1 f3b@2;

  	[f1b-f3b@0 ib@0 sb*1];
  	ib*.5; sb*.3;
  	f1b-f3b*.5 (6);


  MODEL MISSING:
  	[u12-u33@-2];
  	u12-u32 on u11-u31*.4;
      u13-u33 on u11-u31*.5;


  ANALYSIS:	
  	TYPE = TWOLEVEL;
      estimator = bayes;


  model:

  	%within%
  	
  	f1w BY	u11@1
  			u21*.9 (1)
  			u31*.8 (2);
  	f2w BY 	u12@1
  			u22*.9 (1)
  			u32*.8 (2);
  	f3w BY 	u13@1
  			u23*.9 (1)
  			u33*.8 (2);

  	iw sw | f1w@0 f2w@1 f3w@2;

  	iw*1; sw*.5; f1w-f3w*.5;


  	%between%
  	
  	f1b BY	u11@1
  			u21*.9 (1)
  			u31*.8 (2);
  	f2b BY 	u12@1
  			u22*.9 (1)
  			u32*.8 (2);
  	f3b BY 	u13@1
  			u23*.9 (1)
  			u33*.8 (2);

  	[u11$1*0 u12$1*0 u13$1*0] (3);
  	[u21$1*-.5 u22$1*-.5 u23$1*-.5] (4);
  	[u31$1*.5 u32$1*.5 u33$1*.5] (5);

  	u11-u33*.5;

  	ib sb | f1b@0 f2b@1 f3b@2;

  	[f1b-f3b@0 ib@0 sb*1];
  	ib*.5; sb*.3;
  	f1b-f3b*.5 (6);


  output:
  	tech8 tech9;



INPUT READING TERMINATED NORMALLY




this is an example of multiple imputation
using a two-level factor model
with categorical outcomes

Data are generated in line with mcex9.15 as
a two-level multiple indicator growth model
with categorical outcomes (three-level analysis), but
adding missingness for the outcomes and using Bayes
estimation

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                        1000

Number of replications
    Requested                                                    1
    Completed                                                    1
Value of seed                                                58476

Number of dependent variables                                    9
Number of independent variables                                  0
Number of continuous latent variables                           10

Observed dependent variables

  Binary and ordered categorical (ordinal)
   U11         U21         U31         U12         U22         U32
   U13         U23         U33

Continuous latent variables
   F1W         F2W         F3W         IW          SW          F1B
   F2B         F3B         IB          SB


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
  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
Link                                                        PROBIT


SUMMARY OF DATA FOR THE FIRST REPLICATION

     Cluster information

       Size (s)    Number of clusters of Size s

         50            20


SUMMARY OF MISSING DATA PATTERNS FOR THE FIRST REPLICATION

     Number of missing data patterns            63


     MISSING DATA PATTERNS (x = not missing)

           1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20
 U11       x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x
 U21       x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x
 U31       x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x
 U12       x  x  x  x     x  x  x  x  x  x  x  x  x     x  x
 U22       x  x  x     x  x     x     x     x  x           x  x  x  x
 U32       x  x  x  x  x  x        x     x  x  x  x     x     x     x
 U13       x  x  x  x  x        x  x  x        x     x  x  x  x  x
 U23       x  x     x  x  x  x  x  x  x  x  x     x  x           x
 U33       x     x  x  x  x  x  x        x           x  x  x  x  x  x

          21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
 U11       x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x
 U21       x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x
 U31       x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x
 U12       x     x        x              x           x  x  x  x
 U22       x  x           x  x  x  x  x     x  x  x  x  x  x
 U32       x     x  x  x     x        x        x  x  x           x  x
 U13             x  x  x     x  x  x  x  x  x                    x  x
 U23          x     x  x  x        x  x  x     x  x        x
 U33                   x                 x  x     x  x  x  x        x

          41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
 U11       x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x
 U21       x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x
 U31       x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x
 U12          x     x  x     x  x  x  x        x                    x
 U22       x           x              x  x                 x
 U32          x           x              x  x  x              x
 U13             x  x  x        x  x                 x
 U23       x     x        x  x  x                       x     x  x
 U33       x  x     x     x                 x        x  x           x

          61 62 63
 U11       x  x  x
 U21       x  x  x
 U31       x  x  x
 U12
 U22          x
 U32
 U13             x
 U23
 U33       x  x


     MISSING DATA PATTERN FREQUENCIES

    Pattern   Frequency     Pattern   Frequency     Pattern   Frequency
          1         256          22           5          43           3
          2          73          23           4          44           5
          3          65          24           6          45           4
          4          57          25          11          46           3
          5          56          26           3          47           1
          6          62          27           6          48           2
          7           8          28           4          49           1
          8          56          29           6          50           1
          9          19          30          16          51           2
         10          19          31          12          52           4
         11          21          32           5          53           2
         12          10          33           5          54           1
         13          21          34          10          55           1
         14           4          35          18          56           1
         15           2          36           4          57           1
         16          14          37          11          58           1
         17          18          38           1          59           1
         18          17          39           4          60           2
         19          13          40           6          61           1
         20          15          41           7          62           1
         21           7          42           4          63           1


COVARIANCE COVERAGE OF DATA FOR THE FIRST REPLICATION

Minimum covariance coverage value   0.100


     PROPORTION OF DATA PRESENT


           Covariance Coverage
              U11           U21           U31           U12           U22
              ________      ________      ________      ________      ________
 U11            1.000
 U21            1.000         1.000
 U31            1.000         1.000         1.000
 U12            0.785         0.785         0.785         0.785
 U22            0.797         0.797         0.797         0.628         0.797
 U32            0.799         0.799         0.799         0.637         0.639
 U13            0.783         0.783         0.783         0.626         0.635
 U23            0.760         0.760         0.760         0.614         0.608
 U33            0.766         0.766         0.766         0.613         0.614


           Covariance Coverage
              U32           U13           U23           U33
              ________      ________      ________      ________
 U32            0.799
 U13            0.631         0.783
 U23            0.610         0.607         0.760
 U33            0.619         0.594         0.586         0.766





MODEL FIT INFORMATION

Number of Free Parameters                       25

Bayesian Posterior Predictive Checking using Chi-Square

    Posterior Predictive P-Value

        Mean                                 0.669
        Std Dev                              0.000
        Number of successful computations        1

        Cumulative Distribution Function
           Value    Function Value
           0.990       1.000
           0.980       1.000
           0.950       1.000
           0.900       1.000
           0.800       1.000
           0.700       1.000
           0.500       0.000
           0.300       0.000
           0.200       0.000
           0.100       0.000
           0.050       0.000
           0.020       0.000
           0.010       0.000



MODEL RESULTS

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

Within Level

 IW       |
  F1W                 1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  F2W                 1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  F3W                 1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

 SW       |
  F1W                 0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  F2W                 1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  F3W                 2.000     2.0000     0.0000     0.0000     0.0000 1.000 0.000

 F1W      BY
  U11                 1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U21                 0.900     0.9717     0.0000     0.1201     0.0051 1.000 1.000
  U31                 0.800     0.7837     0.0000     0.0849     0.0003 1.000 1.000

 F2W      BY
  U12                 1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U22                 0.900     0.9717     0.0000     0.1201     0.0051 1.000 1.000
  U32                 0.800     0.7837     0.0000     0.0849     0.0003 1.000 1.000

 F3W      BY
  U13                 1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U23                 0.900     0.9717     0.0000     0.1201     0.0051 1.000 1.000
  U33                 0.800     0.7837     0.0000     0.0849     0.0003 1.000 1.000

 SW       WITH
  IW                  0.000    -0.0472     0.0000     0.1416     0.0022 1.000 0.000

 Variances
  IW                  1.000     1.0914     0.0000     0.2659     0.0083 1.000 1.000
  SW                  0.500     0.5417     0.0000     0.1626     0.0017 1.000 1.000

 Residual Variances
  F1W                 0.500     0.5064     0.0000     0.2498     0.0000 1.000 1.000
  F2W                 0.500     0.4214     0.0000     0.1776     0.0062 1.000 1.000
  F3W                 0.500     0.5176     0.0000     0.4435     0.0003 1.000 1.000

Between Level

 IB       |
  F1B                 1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  F2B                 1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  F3B                 1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

 SB       |
  F1B                 0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  F2B                 1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  F3B                 2.000     2.0000     0.0000     0.0000     0.0000 1.000 0.000

 F1B      BY
  U11                 1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U21                 0.900     0.9717     0.0000     0.1201     0.0051 1.000 1.000
  U31                 0.800     0.7837     0.0000     0.0849     0.0003 1.000 1.000

 F2B      BY
  U12                 1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U22                 0.900     0.9717     0.0000     0.1201     0.0051 1.000 1.000
  U32                 0.800     0.7837     0.0000     0.0849     0.0003 1.000 1.000

 F3B      BY
  U13                 1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U23                 0.900     0.9717     0.0000     0.1201     0.0051 1.000 1.000
  U33                 0.800     0.7837     0.0000     0.0849     0.0003 1.000 1.000

 SB       WITH
  IB                  0.000     0.0427     0.0000     0.1495     0.0018 1.000 0.000

 Means
  IB                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  SB                  1.000     1.0508     0.0000     0.2068     0.0026 1.000 1.000

 Intercepts
  F1B                 0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  F2B                 0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  F3B                 0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

 Thresholds
  U11$1               0.000    -0.0446     0.0000     0.2547     0.0020 1.000 0.000
  U21$1              -0.500    -0.5193     0.0000     0.2763     0.0004 1.000 0.000
  U31$1               0.500     0.3968     0.0000     0.2269     0.0107 1.000 0.000
  U12$1               0.000    -0.0446     0.0000     0.2547     0.0020 1.000 0.000
  U22$1              -0.500    -0.5193     0.0000     0.2763     0.0004 1.000 0.000
  U32$1               0.500     0.3968     0.0000     0.2269     0.0107 1.000 0.000
  U13$1               0.000    -0.0446     0.0000     0.2547     0.0020 1.000 0.000
  U23$1              -0.500    -0.5193     0.0000     0.2763     0.0004 1.000 0.000
  U33$1               0.500     0.3968     0.0000     0.2269     0.0107 1.000 0.000

 Variances
  IB                  0.500     0.4988     0.0000     0.3265     0.0000 1.000 1.000
  SB                  0.300     0.2552     0.0000     0.1720     0.0020 1.000 1.000

 Residual Variances
  U11                 0.500     0.4582     0.0000     0.3735     0.0017 1.000 1.000
  U21                 0.500     1.2436     0.0000     0.6661     0.5529 0.000 1.000
  U31                 0.500     0.7330     0.0000     0.5175     0.0543 1.000 1.000
  U12                 0.500     0.8504     0.0000     0.6991     0.1228 1.000 1.000
  U22                 0.500     1.2523     0.0000     0.7468     0.5659 1.000 1.000
  U32                 0.500     0.9665     0.0000     0.5424     0.2176 1.000 1.000
  U13                 0.500     1.0732     0.0000     0.6845     0.3286 1.000 1.000
  U23                 0.500     0.3197     0.0000     0.3985     0.0325 1.000 1.000
  U33                 0.500     0.6215     0.0000     0.4212     0.0148 1.000 1.000
  F1B                 0.500     0.3202     0.0000     0.2212     0.0323 1.000 1.000
  F2B                 0.500     0.3202     0.0000     0.2212     0.0323 1.000 1.000
  F3B                 0.500     0.3202     0.0000     0.2212     0.0323 1.000 1.000


CORRELATIONS AND MEAN SQUARE ERROR OF THE TRUE FACTOR VALUES AND THE FACTOR SCORES

                        CORRELATIONS                MEAN SQUARE ERROR
                    Average    Std. Dev.           Average    Std. Dev.
  F1B                 0.923       0.000              0.356       0.000
  F2B                 0.903       0.000              0.609       0.000
  F3B                 0.919       0.000              0.662       0.000
  IB                  0.835       0.000              0.370       0.000
  SB                  0.805       0.000              0.344       0.000
  U11                 0.971       0.000              0.277       0.000
  U21                 0.957       0.000              0.388       0.000
  U31                 0.967       0.000              0.261       0.000
  U12                 0.944       0.000              0.494       0.000
  U22                 0.953       0.000              0.467       0.000
  U32                 0.948       0.000              0.334       0.000
  U13                 0.973       0.000              0.469       0.000
  U23                 0.896       0.000              0.632       0.000
  U33                 0.961       0.000              0.349       0.000


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR WITHIN


           TAU
              U11$1         U21$1         U31$1         U12$1         U22$1
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           TAU
              U32$1         U13$1         U23$1         U33$1
              ________      ________      ________      ________
                    0             0             0             0


           NU
              U11           U21           U31           U12           U22
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           NU
              U32           U13           U23           U33
              ________      ________      ________      ________
                    0             0             0             0


           LAMBDA
              F1W           F2W           F3W           IW            SW
              ________      ________      ________      ________      ________
 U11                0             0             0             0             0
 U21                1             0             0             0             0
 U31                2             0             0             0             0
 U12                0             0             0             0             0
 U22                0             1             0             0             0
 U32                0             2             0             0             0
 U13                0             0             0             0             0
 U23                0             0             1             0             0
 U33                0             0             2             0             0


           THETA
              U11           U21           U31           U12           U22
              ________      ________      ________      ________      ________
 U11                0
 U21                0             0
 U31                0             0             0
 U12                0             0             0             0
 U22                0             0             0             0             0
 U32                0             0             0             0             0
 U13                0             0             0             0             0
 U23                0             0             0             0             0
 U33                0             0             0             0             0


           THETA
              U32           U13           U23           U33
              ________      ________      ________      ________
 U32                0
 U13                0             0
 U23                0             0             0
 U33                0             0             0             0


           ALPHA
              F1W           F2W           F3W           IW            SW
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           BETA
              F1W           F2W           F3W           IW            SW
              ________      ________      ________      ________      ________
 F1W                0             0             0             0             0
 F2W                0             0             0             0             0
 F3W                0             0             0             0             0
 IW                 0             0             0             0             0
 SW                 0             0             0             0             0


           PSI
              F1W           F2W           F3W           IW            SW
              ________      ________      ________      ________      ________
 F1W                3
 F2W                0             4
 F3W                0             0             5
 IW                 0             0             0             6
 SW                 0             0             0             7             8


     PARAMETER SPECIFICATION FOR BETWEEN


           TAU
              U11$1         U21$1         U31$1         U12$1         U22$1
              ________      ________      ________      ________      ________
                   23            24            25            23            24


           TAU
              U32$1         U13$1         U23$1         U33$1
              ________      ________      ________      ________
                   25            23            24            25


           NU
              U11           U21           U31           U12           U22
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           NU
              U32           U13           U23           U33
              ________      ________      ________      ________
                    0             0             0             0


           LAMBDA
              F1B           F2B           F3B           IB            SB
              ________      ________      ________      ________      ________
 U11                0             0             0             0             0
 U21                1             0             0             0             0
 U31                2             0             0             0             0
 U12                0             0             0             0             0
 U22                0             1             0             0             0
 U32                0             2             0             0             0
 U13                0             0             0             0             0
 U23                0             0             1             0             0
 U33                0             0             2             0             0


           THETA
              U11           U21           U31           U12           U22
              ________      ________      ________      ________      ________
 U11                9
 U21                0            10
 U31                0             0            11
 U12                0             0             0            12
 U22                0             0             0             0            13
 U32                0             0             0             0             0
 U13                0             0             0             0             0
 U23                0             0             0             0             0
 U33                0             0             0             0             0


           THETA
              U32           U13           U23           U33
              ________      ________      ________      ________
 U32               14
 U13                0            15
 U23                0             0            16
 U33                0             0             0            17


           ALPHA
              F1B           F2B           F3B           IB            SB
              ________      ________      ________      ________      ________
                    0             0             0             0            18


           BETA
              F1B           F2B           F3B           IB            SB
              ________      ________      ________      ________      ________
 F1B                0             0             0             0             0
 F2B                0             0             0             0             0
 F3B                0             0             0             0             0
 IB                 0             0             0             0             0
 SB                 0             0             0             0             0


           PSI
              F1B           F2B           F3B           IB            SB
              ________      ________      ________      ________      ________
 F1B               19
 F2B                0            19
 F3B                0             0            19
 IB                 0             0             0            20
 SB                 0             0             0            21            22


     STARTING VALUES FOR WITHIN


           TAU
              U11$1         U21$1         U31$1         U12$1         U22$1
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           TAU
              U32$1         U13$1         U23$1         U33$1
              ________      ________      ________      ________
                0.000         0.000         0.000         0.000


           NU
              U11           U21           U31           U12           U22
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           NU
              U32           U13           U23           U33
              ________      ________      ________      ________
                0.000         0.000         0.000         0.000


           LAMBDA
              F1W           F2W           F3W           IW            SW
              ________      ________      ________      ________      ________
 U11            1.000         0.000         0.000         0.000         0.000
 U21            0.900         0.000         0.000         0.000         0.000
 U31            0.800         0.000         0.000         0.000         0.000
 U12            0.000         1.000         0.000         0.000         0.000
 U22            0.000         0.900         0.000         0.000         0.000
 U32            0.000         0.800         0.000         0.000         0.000
 U13            0.000         0.000         1.000         0.000         0.000
 U23            0.000         0.000         0.900         0.000         0.000
 U33            0.000         0.000         0.800         0.000         0.000


           THETA
              U11           U21           U31           U12           U22
              ________      ________      ________      ________      ________
 U11            1.000
 U21            0.000         1.000
 U31            0.000         0.000         1.000
 U12            0.000         0.000         0.000         1.000
 U22            0.000         0.000         0.000         0.000         1.000
 U32            0.000         0.000         0.000         0.000         0.000
 U13            0.000         0.000         0.000         0.000         0.000
 U23            0.000         0.000         0.000         0.000         0.000
 U33            0.000         0.000         0.000         0.000         0.000


           THETA
              U32           U13           U23           U33
              ________      ________      ________      ________
 U32            1.000
 U13            0.000         1.000
 U23            0.000         0.000         1.000
 U33            0.000         0.000         0.000         1.000


           ALPHA
              F1W           F2W           F3W           IW            SW
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           BETA
              F1W           F2W           F3W           IW            SW
              ________      ________      ________      ________      ________
 F1W            0.000         0.000         0.000         1.000         0.000
 F2W            0.000         0.000         0.000         1.000         1.000
 F3W            0.000         0.000         0.000         1.000         2.000
 IW             0.000         0.000         0.000         0.000         0.000
 SW             0.000         0.000         0.000         0.000         0.000


           PSI
              F1W           F2W           F3W           IW            SW
              ________      ________      ________      ________      ________
 F1W            0.500
 F2W            0.000         0.500
 F3W            0.000         0.000         0.500
 IW             0.000         0.000         0.000         1.000
 SW             0.000         0.000         0.000         0.000         0.500


     STARTING VALUES FOR BETWEEN


           TAU
              U11$1         U21$1         U31$1         U12$1         U22$1
              ________      ________      ________      ________      ________
                0.000        -0.500         0.500         0.000        -0.500


           TAU
              U32$1         U13$1         U23$1         U33$1
              ________      ________      ________      ________
                0.500         0.000        -0.500         0.500


           NU
              U11           U21           U31           U12           U22
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           NU
              U32           U13           U23           U33
              ________      ________      ________      ________
                0.000         0.000         0.000         0.000


           LAMBDA
              F1B           F2B           F3B           IB            SB
              ________      ________      ________      ________      ________
 U11            1.000         0.000         0.000         0.000         0.000
 U21            0.900         0.000         0.000         0.000         0.000
 U31            0.800         0.000         0.000         0.000         0.000
 U12            0.000         1.000         0.000         0.000         0.000
 U22            0.000         0.900         0.000         0.000         0.000
 U32            0.000         0.800         0.000         0.000         0.000
 U13            0.000         0.000         1.000         0.000         0.000
 U23            0.000         0.000         0.900         0.000         0.000
 U33            0.000         0.000         0.800         0.000         0.000


           THETA
              U11           U21           U31           U12           U22
              ________      ________      ________      ________      ________
 U11            0.500
 U21            0.000         0.500
 U31            0.000         0.000         0.500
 U12            0.000         0.000         0.000         0.500
 U22            0.000         0.000         0.000         0.000         0.500
 U32            0.000         0.000         0.000         0.000         0.000
 U13            0.000         0.000         0.000         0.000         0.000
 U23            0.000         0.000         0.000         0.000         0.000
 U33            0.000         0.000         0.000         0.000         0.000


           THETA
              U32           U13           U23           U33
              ________      ________      ________      ________
 U32            0.500
 U13            0.000         0.500
 U23            0.000         0.000         0.500
 U33            0.000         0.000         0.000         0.500


           ALPHA
              F1B           F2B           F3B           IB            SB
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         1.000


           BETA
              F1B           F2B           F3B           IB            SB
              ________      ________      ________      ________      ________
 F1B            0.000         0.000         0.000         1.000         0.000
 F2B            0.000         0.000         0.000         1.000         1.000
 F3B            0.000         0.000         0.000         1.000         2.000
 IB             0.000         0.000         0.000         0.000         0.000
 SB             0.000         0.000         0.000         0.000         0.000


           PSI
              F1B           F2B           F3B           IB            SB
              ________      ________      ________      ________      ________
 F1B            0.500
 F2B            0.000         0.500
 F3B            0.000         0.000         0.500
 IB             0.000         0.000         0.000         0.500
 SB             0.000         0.000         0.000         0.000         0.300


     POPULATION VALUES FOR WITHIN


           TAU
              U11$1         U21$1         U31$1         U12$1         U22$1
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           TAU
              U32$1         U13$1         U23$1         U33$1
              ________      ________      ________      ________
                0.000         0.000         0.000         0.000


           NU
              U11           U21           U31           U12           U22
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           NU
              U32           U13           U23           U33
              ________      ________      ________      ________
                0.000         0.000         0.000         0.000


           LAMBDA
              F1W           F2W           F3W           IW            SW
              ________      ________      ________      ________      ________
 U11            1.000         0.000         0.000         0.000         0.000
 U21            0.900         0.000         0.000         0.000         0.000
 U31            0.800         0.000         0.000         0.000         0.000
 U12            0.000         1.000         0.000         0.000         0.000
 U22            0.000         0.900         0.000         0.000         0.000
 U32            0.000         0.800         0.000         0.000         0.000
 U13            0.000         0.000         1.000         0.000         0.000
 U23            0.000         0.000         0.900         0.000         0.000
 U33            0.000         0.000         0.800         0.000         0.000


           THETA
              U11           U21           U31           U12           U22
              ________      ________      ________      ________      ________
 U11            0.000
 U21            0.000         0.000
 U31            0.000         0.000         0.000
 U12            0.000         0.000         0.000         0.000
 U22            0.000         0.000         0.000         0.000         0.000
 U32            0.000         0.000         0.000         0.000         0.000
 U13            0.000         0.000         0.000         0.000         0.000
 U23            0.000         0.000         0.000         0.000         0.000
 U33            0.000         0.000         0.000         0.000         0.000


           THETA
              U32           U13           U23           U33
              ________      ________      ________      ________
 U32            0.000
 U13            0.000         0.000
 U23            0.000         0.000         0.000
 U33            0.000         0.000         0.000         0.000


           ALPHA
              F1W           F2W           F3W           IW            SW
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           BETA
              F1W           F2W           F3W           IW            SW
              ________      ________      ________      ________      ________
 F1W            0.000         0.000         0.000         1.000         0.000
 F2W            0.000         0.000         0.000         1.000         1.000
 F3W            0.000         0.000         0.000         1.000         2.000
 IW             0.000         0.000         0.000         0.000         0.000
 SW             0.000         0.000         0.000         0.000         0.000


           PSI
              F1W           F2W           F3W           IW            SW
              ________      ________      ________      ________      ________
 F1W            0.500
 F2W            0.000         0.500
 F3W            0.000         0.000         0.500
 IW             0.000         0.000         0.000         1.000
 SW             0.000         0.000         0.000         0.000         0.500


     POPULATION VALUES FOR BETWEEN


           TAU
              U11$1         U21$1         U31$1         U12$1         U22$1
              ________      ________      ________      ________      ________
                0.000        -0.500         0.500         0.000        -0.500


           TAU
              U32$1         U13$1         U23$1         U33$1
              ________      ________      ________      ________
                0.500         0.000        -0.500         0.500


           NU
              U11           U21           U31           U12           U22
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           NU
              U32           U13           U23           U33
              ________      ________      ________      ________
                0.000         0.000         0.000         0.000


           LAMBDA
              F1B           F2B           F3B           IB            SB
              ________      ________      ________      ________      ________
 U11            1.000         0.000         0.000         0.000         0.000
 U21            0.900         0.000         0.000         0.000         0.000
 U31            0.800         0.000         0.000         0.000         0.000
 U12            0.000         1.000         0.000         0.000         0.000
 U22            0.000         0.900         0.000         0.000         0.000
 U32            0.000         0.800         0.000         0.000         0.000
 U13            0.000         0.000         1.000         0.000         0.000
 U23            0.000         0.000         0.900         0.000         0.000
 U33            0.000         0.000         0.800         0.000         0.000


           THETA
              U11           U21           U31           U12           U22
              ________      ________      ________      ________      ________
 U11            0.500
 U21            0.000         0.500
 U31            0.000         0.000         0.500
 U12            0.000         0.000         0.000         0.500
 U22            0.000         0.000         0.000         0.000         0.500
 U32            0.000         0.000         0.000         0.000         0.000
 U13            0.000         0.000         0.000         0.000         0.000
 U23            0.000         0.000         0.000         0.000         0.000
 U33            0.000         0.000         0.000         0.000         0.000


           THETA
              U32           U13           U23           U33
              ________      ________      ________      ________
 U32            0.500
 U13            0.000         0.500
 U23            0.000         0.000         0.500
 U33            0.000         0.000         0.000         0.500


           ALPHA
              F1B           F2B           F3B           IB            SB
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         1.000


           BETA
              F1B           F2B           F3B           IB            SB
              ________      ________      ________      ________      ________
 F1B            0.000         0.000         0.000         1.000         0.000
 F2B            0.000         0.000         0.000         1.000         1.000
 F3B            0.000         0.000         0.000         1.000         2.000
 IB             0.000         0.000         0.000         0.000         0.000
 SB             0.000         0.000         0.000         0.000         0.000


           PSI
              F1B           F2B           F3B           IB            SB
              ________      ________      ________      ________      ________
 F1B            0.500
 F2B            0.000         0.500
 F3B            0.000         0.000         0.500
 IB             0.000         0.000         0.000         0.500
 SB             0.000         0.000         0.000         0.000         0.300



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

     Parameter 1~N(0.000,5.000)              0.0000              5.0000              2.2361
     Parameter 2~N(0.000,5.000)              0.0000              5.0000              2.2361
     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~IW(0.000,-3)              infinity            infinity            infinity
     Parameter 7~IW(0.000,-3)              infinity            infinity            infinity
     Parameter 8~IW(0.000,-3)              infinity            infinity            infinity
     Parameter 9~IG(-1.000,0.000)          infinity            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~IG(-1.000,0.000)         infinity            infinity            infinity
     Parameter 14~IG(-1.000,0.000)         infinity            infinity            infinity
     Parameter 15~IG(-1.000,0.000)         infinity            infinity            infinity
     Parameter 16~IG(-1.000,0.000)         infinity            infinity            infinity
     Parameter 17~IG(-1.000,0.000)         infinity            infinity            infinity
     Parameter 18~N(0.000,infinity)          0.0000            infinity            infinity
     Parameter 19~IG(-1.000,0.000)         infinity            infinity            infinity
     Parameter 20~IW(1.000,3)              infinity            infinity            infinity
     Parameter 21~IW(0.000,3)              infinity            infinity            infinity
     Parameter 22~IW(1.000,3)              infinity            infinity            infinity
     Parameter 23~N(0.000,5.000)             0.0000              5.0000              2.2361
     Parameter 24~N(0.000,5.000)             0.0000              5.0000              2.2361
     Parameter 25~N(0.000,5.000)             0.0000              5.0000              2.2361


TECHNICAL 8 OUTPUT


   TECHNICAL 8 OUTPUT FOR BAYES ESTIMATION

     CHAIN    BSEED
     1        0
     2        285380

     REPLICATION 1:


                     POTENTIAL       PARAMETER WITH
     ITERATION    SCALE REDUCTION      HIGHEST PSR
     100              2.468               3
     200              2.939               8
     300              3.698               1
     400              4.079               1
     500              3.736               1
     600              3.351               1
     700              2.142               1
     800              2.075               5
     900              2.602               5
     1000             2.955               5
     1100             3.470               5
     1200             3.495               5
     1300             3.288               5
     1400             2.235               5
     1500             2.413               7
     1600             2.188               6
     1700             2.135               6
     1800             2.194               6
     1900             2.044               6
     2000             1.736               4
     2100             1.643               4
     2200             1.492               2
     2300             1.628               2
     2400             1.672               2
     2500             1.572               2
     2600             1.447               2
     2700             1.373               2
     2800             1.310               5
     2900             1.313               5
     3000             1.262               5
     3100             1.299               5
     3200             1.282               4
     3300             1.348               4
     3400             1.470               4
     3500             1.543               4
     3600             1.493               4
     3700             1.508               4
     3800             1.448               4
     3900             1.323               4
     4000             1.273               4
     4100             1.201               4
     4200             1.161               4
     4300             1.199               1
     4400             1.235               1
     4500             1.269               1
     4600             1.292               1
     4700             1.306               1
     4800             1.316               1
     4900             1.301               1
     5000             1.285               1
     5100             1.292               1
     5200             1.328               1
     5300             1.364               1
     5400             1.405               1
     5500             1.382               1
     5600             1.318               1
     5700             1.270               1
     5800             1.282               6
     5900             1.249               6
     6000             1.230               1
     6100             1.226               1
     6200             1.198               6
     6300             1.179               6
     6400             1.119               6
     6500             1.119               7
     6600             1.113               7
     6700             1.094               7
     6800             1.067               7


TECHNICAL 9 OUTPUT

  Error messages for each replication (if any)



SAVEDATA INFORMATION

  Order of variables

    U11
    U21
    U31
    U12
    U22
    U32
    U13
    U23
    U33
    CLUSTER

  Save file
    ex11.8.dat

  Save file format           Free
  Save file record length    10000
  Missing designated by 999


     Beginning Time:  22:22:10
        Ending Time:  22:22:31
       Elapsed Time:  00:00:21



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