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Analysis

This paper addresses the problem of conservative p-values in one-sided multiple testing, which leads to a loss of power. The authors propose a method to refine p-values by estimating the null distribution, allowing for improved power without modifying existing multiple testing procedures. This is a practical improvement for researchers using standard multiple testing methods.
Reference

The proposed method substantially improves power when p-values are conservative, while achieving comparable performance to existing methods when p-values are exact.