How to Measure Evidence and Its Strength: Bayes Factors or Relative Belief Ratios?

arXiv:2301.08994v2 Announce Type: replace-cross
Abstract: Both the Bayes factor and the relative belief ratio satisfy the principle of evidence and so can be seen to be valid measures of statistical evidence. Certainly Bayes factors are regularly employed. The question then is: which of these measures of evidence is more appropriate? It is argued here that there are questions concerning the validity of a current commonly used definition of the Bayes factor based on a mixture prior and, when all is …

abstract arxiv bayes belief evidence math.st question statistical stat.me stat.ml stat.th type