[jkldotio]

The Bayesian take on this issue is interesting.[0] In their analysis of 72 replications only 8 had evidence pointing in the other direction and with a strong Bayes Factor.

[0] http://alexanderetz.com/2016/02/26/the-bayesian-rpp-take-2/ and http://journals.plos.org/plosone/article?id=10.1371/journal....