One of the really awkward points of stats is that not only does sample size matter, but also model specification. Very small misspecifications can easily lead t

One of the really awkward points of stats is that not only does sample size matter, but also model specification. Very small misspecifications can easily lead to infinitesimal P values over large sample sizes. Similar things are true of Bayesian stats, leading to things like predictively oriented posteriors being studied nowadays.