The Full Bayesian Significance Test, FBST, is extensively reviewed. Its test statistic, a genuine Bayesian measure of evidence, is discussed in detail. Its behavior in some problems of statistical inference like testing for independence in contingency tables is discussed.
"Can a significance test be genuinely Bayesian?." Bayesian Anal. 3 (1) 79 - 100, March 2008. https://doi.org/10.1214/08-BA303