Credible Interval for Repeated Measures ANOVA
I have conducted a 3 way Bayesian RM ANOVA. Now, in my analysis, I have the “Model Averaged Posterior Summary”. This is similar to this table from the ANOVA tutorial paper by van den Bergh et al. 2019,
Now, it says in the text that I can get the posterior means by adding/subtracting from the intercept to get the condition specific means. Thus, the posterior mean for O,Yes would be 1.724 + 0.265 = 1.989. Great.
Now, I would like an uncertainty measure (credible interval) as well. However, footnote 10 in the paper states that “This calculation is valid only for the posterior means, not for the other posterior summaries”. Thus, it seems that [1.680, 2.295] is not the appropriate 95% CI for the O,Yes condition.
In light of this, besides just a point estimate, how do I get a measure of uncertainty?