p-uniform

The p-uniform package provides meta-analysis methods that correct for publication bias. Three methods are currently included in the package. The p-uniform method can be used for estimating effect size, testing the null hypothesis of no effect, and testing for publication bias. The second method in the package is the hybrid method. The hybrid method is a meta-analysis method for combining an original study and replication and while taking into account statistical significance of the original study. The p-uniform and hybrid method are based on the statistical theory that the distribution of p-values is uniform conditional on the population effect size. The third method in the package is the Snapshot Bayesian Hybrid Meta-Analysis Method. This method computes posterior probabilities for four true effect sizes (no, small, medium, and large) based on an original study and replication while taking into account publication bias in the original study. The method can also be used for computing the required sample size of the replication akin to power analysis in null hypothesis significance testing.