Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 10:24 PM
INPUT INSTRUCTIONS
Title: N=1 bivariate cross-lagged analysis w latent variables
MONTECARLO: NAMES ARE y11-y14 y21-y24;
NOBS = 100;
NREP = 1;
save = ex6.28.dat;
ANALYSIS:
estimator=bayes;
biter=(500);
proc=2;
MODEL POPULATION:
f1 by y11@1 y12-y14*1 (&1);
f2 by y21@1 y22-y24*1 (&1);
f1 on f1&1*.4 f2&1*.2;
f2 on f2&1*.3 f1&1*.2;
f1-f2*1;
f1 with f2*.5;
y11-y24*1;
MODEL:
f1 by y11@1 y12-y14*1 (&1);
f2 by y21@1 y22-y24*1 (&1);
f1 on f1&1*.4 f2&1*.2;
f2 on f2&1*.3 f1&1*.2;
f1-f2*1;
f1 with f2*.5;
y11-y24*1;
output:
tech8;
INPUT READING TERMINATED NORMALLY
N=1 bivariate cross-lagged analysis w latent variables
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 100
Number of replications
Requested 1
Completed 1
Value of seed 0
Number of dependent variables 8
Number of independent variables 0
Number of continuous latent variables 4
Observed dependent variables
Continuous
Y11 Y12 Y13 Y14 Y21 Y22
Y23 Y24
Continuous latent variables
F1 F2 F1&1 F2&1
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
MODEL FIT INFORMATION
Number of Free Parameters 29
Information Criteria
Deviance (DIC)
Mean 2394.403
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 2394.403 2394.403
0.980 0.000 2394.403 2394.403
0.950 0.000 2394.403 2394.403
0.900 0.000 2394.403 2394.403
0.800 0.000 2394.403 2394.403
0.700 0.000 2394.403 2394.403
0.500 0.000 2394.403 2394.403
0.300 0.000 2394.403 2394.403
0.200 0.000 2394.403 2394.403
0.100 0.000 2394.403 2394.403
0.050 0.000 2394.403 2394.403
0.020 0.000 2394.403 2394.403
0.010 0.000 2394.403 2394.403
Estimated Number of Parameters (pD)
Mean 154.229
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 154.229 154.229
0.980 0.000 154.229 154.229
0.950 0.000 154.229 154.229
0.900 0.000 154.229 154.229
0.800 0.000 154.229 154.229
0.700 0.000 154.229 154.229
0.500 0.000 154.229 154.229
0.300 0.000 154.229 154.229
0.200 0.000 154.229 154.229
0.100 0.000 154.229 154.229
0.050 0.000 154.229 154.229
0.020 0.000 154.229 154.229
0.010 0.000 154.229 154.229
MODEL RESULTS
ESTIMATES S. E. M. S. E. 95% % Sig
Population Average Std. Dev. Average Cover Coeff
F1 BY
Y11 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y12 1.000 1.0933 0.0000 0.1257 0.0087 1.000 1.000
Y13 1.000 1.2026 0.0000 0.1510 0.0411 1.000 1.000
Y14 1.000 1.1725 0.0000 0.1463 0.0298 1.000 1.000
F2 BY
Y21 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y22 1.000 1.0856 0.0000 0.1427 0.0073 1.000 1.000
Y23 1.000 1.0604 0.0000 0.1463 0.0036 1.000 1.000
Y24 1.000 0.8804 0.0000 0.1239 0.0143 1.000 1.000
F1 ON
F1&1 0.400 0.4511 0.0000 0.1323 0.0026 1.000 1.000
F2&1 0.200 0.1901 0.0000 0.1342 0.0001 1.000 0.000
F2 ON
F2&1 0.300 0.4263 0.0000 0.1523 0.0159 1.000 1.000
F1&1 0.200 0.1246 0.0000 0.1408 0.0057 1.000 0.000
F1 WITH
F2 0.500 0.4949 0.0000 0.1821 0.0000 1.000 1.000
Intercepts
Y11 0.000 0.1190 0.0000 0.2789 0.0142 1.000 0.000
Y12 0.000 0.2716 0.0000 0.2817 0.0738 1.000 0.000
Y13 0.000 0.2557 0.0000 0.3148 0.0654 1.000 0.000
Y14 0.000 0.2326 0.0000 0.3150 0.0541 1.000 0.000
Y21 0.000 0.0661 0.0000 0.2409 0.0044 1.000 0.000
Y22 0.000 0.0259 0.0000 0.2557 0.0007 1.000 0.000
Y23 0.000 0.2106 0.0000 0.2632 0.0443 1.000 0.000
Y24 0.000 -0.0098 0.0000 0.2273 0.0001 1.000 0.000
Residual Variances
Y11 1.000 0.9028 0.0000 0.1717 0.0094 1.000 1.000
Y12 1.000 0.7806 0.0000 0.1515 0.0481 1.000 1.000
Y13 1.000 1.0107 0.0000 0.1898 0.0001 1.000 1.000
Y14 1.000 1.2247 0.0000 0.2301 0.0505 1.000 1.000
Y21 1.000 0.8195 0.0000 0.1622 0.0326 1.000 1.000
Y22 1.000 0.8100 0.0000 0.1891 0.0361 1.000 1.000
Y23 1.000 1.1410 0.0000 0.2155 0.0199 1.000 1.000
Y24 1.000 1.2568 0.0000 0.2382 0.0660 1.000 1.000
F1 1.000 0.9590 0.0000 0.2585 0.0017 1.000 1.000
F2 1.000 1.0656 0.0000 0.3277 0.0043 1.000 1.000
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION
NU
Y11 Y12 Y13 Y14 Y21
________ ________ ________ ________ ________
1 2 3 4 5
NU
Y22 Y23 Y24
________ ________ ________
6 7 8
LAMBDA
F1 F2 F1&1 F2&1
________ ________ ________ ________
Y11 0 0 0 0
Y12 9 0 0 0
Y13 10 0 0 0
Y14 11 0 0 0
Y21 0 0 0 0
Y22 0 12 0 0
Y23 0 13 0 0
Y24 0 14 0 0
THETA
Y11 Y12 Y13 Y14 Y21
________ ________ ________ ________ ________
Y11 15
Y12 0 16
Y13 0 0 17
Y14 0 0 0 18
Y21 0 0 0 0 19
Y22 0 0 0 0 0
Y23 0 0 0 0 0
Y24 0 0 0 0 0
THETA
Y22 Y23 Y24
________ ________ ________
Y22 20
Y23 0 21
Y24 0 0 22
ALPHA
F1 F2 F1&1 F2&1
________ ________ ________ ________
0 0 0 0
BETA
F1 F2 F1&1 F2&1
________ ________ ________ ________
F1 0 0 23 24
F2 0 0 25 26
F1&1 0 0 0 0
F2&1 0 0 0 0
PSI
F1 F2 F1&1 F2&1
________ ________ ________ ________
F1 27
F2 28 29
F1&1 0 0 0
F2&1 0 0 0 0
STARTING VALUES
NU
Y11 Y12 Y13 Y14 Y21
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
Y22 Y23 Y24
________ ________ ________
0.000 0.000 0.000
LAMBDA
F1 F2 F1&1 F2&1
________ ________ ________ ________
Y11 1.000 0.000 0.000 0.000
Y12 1.000 0.000 0.000 0.000
Y13 1.000 0.000 0.000 0.000
Y14 1.000 0.000 0.000 0.000
Y21 0.000 1.000 0.000 0.000
Y22 0.000 1.000 0.000 0.000
Y23 0.000 1.000 0.000 0.000
Y24 0.000 1.000 0.000 0.000
THETA
Y11 Y12 Y13 Y14 Y21
________ ________ ________ ________ ________
Y11 1.000
Y12 0.000 1.000
Y13 0.000 0.000 1.000
Y14 0.000 0.000 0.000 1.000
Y21 0.000 0.000 0.000 0.000 1.000
Y22 0.000 0.000 0.000 0.000 0.000
Y23 0.000 0.000 0.000 0.000 0.000
Y24 0.000 0.000 0.000 0.000 0.000
THETA
Y22 Y23 Y24
________ ________ ________
Y22 1.000
Y23 0.000 1.000
Y24 0.000 0.000 1.000
ALPHA
F1 F2 F1&1 F2&1
________ ________ ________ ________
0.000 0.000 0.000 0.000
BETA
F1 F2 F1&1 F2&1
________ ________ ________ ________
F1 0.000 0.000 0.400 0.200
F2 0.000 0.000 0.200 0.300
F1&1 0.000 0.000 0.000 0.000
F2&1 0.000 0.000 0.000 0.000
PSI
F1 F2 F1&1 F2&1
________ ________ ________ ________
F1 1.000
F2 0.500 1.000
F1&1 0.000 0.000 1.000
F2&1 0.000 0.000 0.000 1.000
POPULATION VALUES
NU
Y11 Y12 Y13 Y14 Y21
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
Y22 Y23 Y24
________ ________ ________
0.000 0.000 0.000
LAMBDA
F1 F2 F1&1 F2&1
________ ________ ________ ________
Y11 1.000 0.000 0.000 0.000
Y12 1.000 0.000 0.000 0.000
Y13 1.000 0.000 0.000 0.000
Y14 1.000 0.000 0.000 0.000
Y21 0.000 1.000 0.000 0.000
Y22 0.000 1.000 0.000 0.000
Y23 0.000 1.000 0.000 0.000
Y24 0.000 1.000 0.000 0.000
THETA
Y11 Y12 Y13 Y14 Y21
________ ________ ________ ________ ________
Y11 1.000
Y12 0.000 1.000
Y13 0.000 0.000 1.000
Y14 0.000 0.000 0.000 1.000
Y21 0.000 0.000 0.000 0.000 1.000
Y22 0.000 0.000 0.000 0.000 0.000
Y23 0.000 0.000 0.000 0.000 0.000
Y24 0.000 0.000 0.000 0.000 0.000
THETA
Y22 Y23 Y24
________ ________ ________
Y22 1.000
Y23 0.000 1.000
Y24 0.000 0.000 1.000
ALPHA
F1 F2 F1&1 F2&1
________ ________ ________ ________
0.000 0.000 0.000 0.000
BETA
F1 F2 F1&1 F2&1
________ ________ ________ ________
F1 0.000 0.000 0.400 0.200
F2 0.000 0.000 0.200 0.300
F1&1 0.000 0.000 0.000 0.000
F2&1 0.000 0.000 0.000 0.000
PSI
F1 F2 F1&1 F2&1
________ ________ ________ ________
F1 1.000
F2 0.500 1.000
F1&1 0.000 0.000 1.000
F2&1 0.000 0.000 0.000 1.000
PRIORS FOR ALL PARAMETERS PRIOR MEAN PRIOR VARIANCE PRIOR STD. DEV.
Parameter 1~N(0.000,infinity) 0.0000 infinity infinity
Parameter 2~N(0.000,infinity) 0.0000 infinity infinity
Parameter 3~N(0.000,infinity) 0.0000 infinity infinity
Parameter 4~N(0.000,infinity) 0.0000 infinity infinity
Parameter 5~N(0.000,infinity) 0.0000 infinity infinity
Parameter 6~N(0.000,infinity) 0.0000 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~N(0.000,infinity) 0.0000 infinity infinity
Parameter 11~N(0.000,infinity) 0.0000 infinity infinity
Parameter 12~N(0.000,infinity) 0.0000 infinity infinity
Parameter 13~N(0.000,infinity) 0.0000 infinity infinity
Parameter 14~N(0.000,infinity) 0.0000 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~IG(-1.000,0.000) infinity infinity infinity
Parameter 19~IG(-1.000,0.000) infinity infinity infinity
Parameter 20~IG(-1.000,0.000) infinity infinity infinity
Parameter 21~IG(-1.000,0.000) infinity infinity infinity
Parameter 22~IG(-1.000,0.000) infinity infinity infinity
Parameter 23~N(0.000,infinity) 0.0000 infinity infinity
Parameter 24~N(0.000,infinity) 0.0000 infinity infinity
Parameter 25~N(0.000,infinity) 0.0000 infinity infinity
Parameter 26~N(0.000,infinity) 0.0000 infinity infinity
Parameter 27~IW(0.000,-3) infinity infinity infinity
Parameter 28~IW(0.000,-3) infinity infinity infinity
Parameter 29~IW(0.000,-3) infinity infinity infinity
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 1.196 4
200 1.081 9
300 1.468 6
400 1.348 1
500 1.134 1
600 1.075 5
SAVEDATA INFORMATION
Order of variables
Y11
Y12
Y13
Y14
Y21
Y22
Y23
Y24
Save file
ex6.28.dat
Save file format Free
Save file record length 10000
Beginning Time: 22:24:23
Ending Time: 22:24:23
Elapsed Time: 00:00:00
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