Predictive power, on the other hand, allows for uncertainty, and is the average power over the distribution of the parameters. Thus, it is a Bayesian concept. In this presentation, I discuss multiple testing procedures that maximize predictive power, using Bayesian methods for obtaining the distribution of the parameters. Applications to multiple endpoints in clinical trials and animal carcinogenicity testing are given.
Intuitive principles are justifiable within the conceptual framework of maximizing predictive power.