Thomas Leonard From my blog:THIS ITEM WAS RECENTLY PUBLISHED BY JOHN KRUSCHKE ON THE JUNIOR ISBA FACEBOOK PAGE, with a readership of over 1000 Bayesian Statisticians. Fixing seems to be an appropriate word. The 95% HDI later referred to by John may, or may not, have been based upon non-standard assumptions, My understanding, from John's later discussion of 'heavy tails', is that it is much too broad when compared with the standard procedures. The state of the art concerning the Bayesian investigation of hypotheses is described by BASKURT AND EVANS in their recent paper in Bayesian Analysis. In regression situations where there is vague prior knowledge and under appropriate normality assumptions, their procedures are consistent with the usual F, chi-squared, and t-tests, but with weights of evidence which supplement the usual p-values. John seems to be unaware of this.