Bayesian inference in two-arm trials using relative belief ratios

Abstract

Various methodologies proposed for some inference problems associated with two-arm trails are known to suffer from difficulties, as documented in Senn (2001). We propose an alternative Bayesian approach to these problems that deals with these difficulties through providing an explicit measure of statistical evidence and the strength of this evidence. Bayesian methods are often criticized for their intrinsic subjectivity. We show how these concerns can be dealt with through assessing the bias induced by a prior model checking and checking for prior-data conflict.

Keywords: bias induced from a prior; checking for prior-data conflict; equivalence; measuring statistical evidence; model checking; noninferiority; relative belief ratios.