Hi Daryn,

The values reported by GABranch are NOT p-values; the closest analogy are posterior probabilities (or something like 1-p), but even then GA only approximates those under some assumptions. If the value is low for a pair of branches, you can say that the models with high c-AIC scores (credible set) assign different rates to these branches. However, I would just leave it at that -- do not try to interpret those as p-values (because those imply a hypothesis test which is not performed here), and definitely do not use the Bonferroni correction.

Best,
Sergei