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The statistic p(rep) estimates the probability of replicating an effect. It captures traditional publication criteria for signal-to-noise ratio, while avoiding parametric inference and the resulting Bayesian dilemma. In concert with effect size and replication intervals, p(rep) provides all of the information now used in evaluating research, while avoiding many of the pitfalls of traditional statistical inference.
Peter R. Killeen (Sun,) studied this question.