Bayesian inference in two-arm trials using relative belief ratios.
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.
Department of Statistics, University of Manitoba, Manitoba R3T 2N2, Winnipeg, Canada.
Saman
S
Muthukumarana
Department of Statistics, University of Toronto, Ontario, Toronto, M5S 3G3, Canada.
Michael
M
Evans
D001499:Bayes Theorem; D015982:Bias; D018849:Controlled Clinical Trials as Topic / Q000379:methods*; D003627:Data Interpretation, Statistical; D006801:Humans; D015233:Models, Statistical
bias induced from a prior; checking for prior-data conflict; equivalence; measuring statistical evidence; model checking; noninferiority; relative belief ratios