Replication is extremely important but not the solution to the problems Luck is discussing: How do you decide whether some experiment is worth a replication at

Replication is extremely important but not the solution to the problems Luck is discussing: How do you decide whether some experiment is worth a replication attempt? How do you decide whether a replication was successful? The standard (but not the only) answer is: through p-values. This shows that stats and replication are largely orthogonal issues. So what /is/ the solution to the problems with p-values? Bayesian statistics, which gives you the probability of an hypothesis given the data and some clearly defined set of assumptions, exactly what you typically want.