The harmonic mean p-value: Strong versus weak control, and the assumption of independence

Wilson (1) proposes a multiple testing procedure based on the harmonic mean p-value (HMP). While this is a potentially useful method, he makes several claims that are not supported by the theory. Herein we identify 4 errors, for clarity described in terms of the version with equal weights 1 / L , so that w R = | R | / L . [↵][1]1To whom correspondence may be addressed. Email: j.j.goeman{at}lumc.nl. [1]: #xref-corresp-1-1