Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 10:27 PM
INPUT INSTRUCTIONS
montecarlo:
names are u;
nobservations = 5000;
nreps = 1;
CSIZES = 50[100(1)]; ! 50 items and 100 subjects
ncsize = 1[1];
generate=u(1);
categorical=u;
save = ex9.26.dat;
ANALYSIS: TYPE = cross random;
estimator=bayes; proc=2;
model population:
%within%
! across subject variation
%between level2a%
s | f BY u;
f@1;
u@0;
! across item variation
%between level2b%
u*1.5; [u$1*0];
s*0.2; [s*1];
model:
%within%
! across subject variation
%between level2a%
s | f BY u;
f@1;
u@0;
! across item variation
%between level2b%
u*1.5; [u$1*0];
s*0.2; [s*1];
output:
tech8 tech9;
INPUT READING TERMINATED NORMALLY
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 5000
Number of replications
Requested 1
Completed 1
Value of seed 0
Number of dependent variables 1
Number of independent variables 0
Number of continuous latent variables 2
Observed dependent variables
Binary and ordered categorical (ordinal)
U
Continuous latent variables
F S
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
Number of level 2a clusters 100
Number of level 2b clusters 50
MODEL FIT INFORMATION
Number of Free Parameters 4
MODEL RESULTS
ESTIMATES S. E. M. S. E. 95% % Sig
Population Average Std. Dev. Average Cover Coeff
Within Level
Between LEVEL2A Level
Variances
F 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Residual Variances
U 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Between LEVEL2B Level
Means
S 1.000 1.1365 0.0000 0.1026 0.0186 1.000 1.000
Thresholds
U$1 0.000 -0.3055 0.0000 0.2180 0.0933 1.000 0.000
Variances
U 1.500 1.8296 0.0000 0.4404 0.1086 1.000 1.000
S 0.200 0.2553 0.0000 0.0867 0.0031 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.
S 0.892 0.000 0.387 0.000
B2a_U 0.044 0.000 0.032 0.000
B2b_U 0.984 0.000 0.269 0.000
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION FOR WITHIN
TAU
U$1
________
0
NU
U
________
0
THETA
U
________
U 0
PARAMETER SPECIFICATION FOR BETWEEN LEVEL2A
TAU
U$1
________
0
NU
U
________
0
LAMBDA
F
________
U 0
THETA
U
________
U 0
ALPHA
F
________
0
BETA
F
________
F 0
PSI
F
________
F 0
PARAMETER SPECIFICATION FOR BETWEEN LEVEL2B
TAU
U$1
________
4
NU
U
________
0
LAMBDA
S
________
U 0
THETA
U
________
U 1
ALPHA
S
________
2
BETA
S
________
S 0
PSI
S
________
S 3
STARTING VALUES FOR WITHIN
TAU
U$1
________
0.000
NU
U
________
0.000
THETA
U
________
U 1.000
STARTING VALUES FOR BETWEEN LEVEL2A
TAU
U$1
________
0.000
NU
U
________
0.000
LAMBDA
F
________
U 0.000
THETA
U
________
U 0.000
ALPHA
F
________
0.000
BETA
F
________
F 0.000
PSI
F
________
F 1.000
STARTING VALUES FOR BETWEEN LEVEL2B
TAU
U$1
________
0.000
NU
U
________
0.000
LAMBDA
S
________
U 0.000
THETA
U
________
U 1.500
ALPHA
S
________
1.000
BETA
S
________
S 0.000
PSI
S
________
S 0.200
POPULATION VALUES FOR WITHIN
TAU
U$1
________
0.000
NU
U
________
0.000
THETA
U
________
U 0.000
POPULATION VALUES FOR BETWEEN LEVEL2A
TAU
U$1
________
0.000
NU
U
________
0.000
LAMBDA
F
________
U 0.000
THETA
U
________
U 0.000
ALPHA
F
________
0.000
BETA
F
________
F 0.000
PSI
F
________
F 1.000
POPULATION VALUES FOR BETWEEN LEVEL2B
TAU
U$1
________
0.000
NU
U
________
0.000
LAMBDA
S
________
U 0.000
THETA
U
________
U 1.500
ALPHA
S
________
1.000
BETA
S
________
S 0.000
PSI
S
________
S 0.200
PRIORS FOR ALL PARAMETERS PRIOR MEAN PRIOR VARIANCE PRIOR STD. DEV.
Parameter 1~IG(-1.000,0.000) infinity infinity infinity
Parameter 2~N(0.000,infinity) 0.0000 infinity infinity
Parameter 3~IG(-1.000,0.000) infinity infinity infinity
Parameter 4~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 1.725 2
200 1.319 4
300 1.112 4
400 1.134 2
500 1.034 3
TECHNICAL 9 OUTPUT
Error messages for each replication (if any)
SAVEDATA INFORMATION
Order of variables
U
LEVEL2A
LEVEL2B
Save file
ex9.26.dat
Save file format Free
Save file record length 10000
Beginning Time: 22:27:15
Ending Time: 22:27:17
Elapsed Time: 00:00:02
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