The posterior distribution of the likelihood is used to interpret the evidential meaning of P-values, posterior Bayes factors and Akaike's information criterion when comparing point null hypotheses with composite alternatives. Asymptotic arguments lead to simple re-calibrations of these criteria in terms of posterior tail probabilities of the likelihood ratio. (
Prior
) Bayes factors cannot be calibrated in this way as they are model-specific.
P-value - likelihood - posterior distribution - Bayes factor - fractional Bayes factor - posterior Bayes factor - AIC