The harmonic mean p-value (HMP) procedure provides a multilevel test that improves on the power of Bonferroni correction by assessing the significance of groups of hypotheses while controlling the strong-sense family-wise error rate. The significance of any subset  of the  tests is assessed by calculating the HMP for the subset, where  are weights that sum to one (i.e. ).
The harmonic mean p-value (HMP) procedure is a multilevel test that enhances the power of Bonferroni correction by evaluating the significance of groups of hypotheses while controlling the family-wise error rate. The significance of any subset of tests is assessed by calculating the HMP for the subset, where weights are used to sum to one.