Table 9:
Posterior predictive summaries for the sample correlation coefficient
r
pred
for the replicated data associated with each of the two-dimensional beta binomial models.
Model
Mean
Std. Dev.
95% Interval
Bayesian
p
-value
First model
0.412
0.152
(0.097, 0.688)
0.037
Second model
0.284
0.163
(
−
0.043, 0.589)
0.005
Third model
0.246
0.159
(
−
0.070, 0.547)
0.002