The harmonic mean p-value for combining dependent tests

Update: This paper has now been published in PNAS. “The harmonic mean p-value for combining dependent tests” by Daniel J. Wilson. https://doi.org/10.1101/171751 I selected this article for review for the following reasons: Multiple testing approaches are extraordinarily important in modern science and I am personally interested in new developments in that area. The mathematical solution and the equivalency between the mean maximized likelihood and the harmonic mean p-values (HMP) seemed particularly elegant. »