data. This p-value prior gives ABFp=(1+K)1∕2exp(−nf^22K1+K) and under this prior identical rankings of significance will be achieved between ABFp and the χ2 statistic. The dependence of the prior on n is troubling and leads to the p-value Bayes factor being inconsistent under the null because ABFp tends to (1 + K)1/2 as n → ∞, and not ∞ required. This indicates why p-value thresholds should decrease with increasing sample size, see Wakefield (2009) for further discussion.
