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

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. The question then is: which of these measures of evidence is more appropriate? Certainly Bayes factors are commonly used. It is argued here that there are questions concerning the validity of a current commonly used definition of the Bayes factor and, when all is considered, the relative belief ratio is a much more appropriate measure of evidence. Several general criticisms of these measures of evidence are also discussed and addressed.