In this paper, we show that the conditional frequentist method of testing a precise hypothesis can be made virtually equivalent to Bayesian testing. The conditioning strategy proposed by Berger, Brown ...

Testing of a composite null hypothesis versus a composite alternative is considered when both have a related invariance structure. The goal is to develop conditional ...

under H 0 and H 1, respectively, where n represents the total sample size in the study (cases and controls). M 0 (n,k) is analogous to a type I error, yet is not fixed by design at α. M i (n,k) i=0,1 ...

This is a guest post by Nathan Paxton. As social scientists, at least as regards what we can empirically assess, we tend to make statements of probability rather than fact. So rather than say that ...

SCIENCE, being a human activity, is not immune to fashion. For example, one of the first mathematicians to study the subject of probability theory was an English clergyman called Thomas Bayes, who was ...