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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