The Adjusted p-value That Moved
Eight hypotheses have p-values 0.041, 0.500, 0.002, 0.034, 0.300, 0.009, 0.030, 0.012. The Benjamini-Hochberg adjusted p-value of the i-th smallest p-value is the smallest value of p(j) × 8 / j over all ranks j ≥ i (capped at 1); it is the smallest FDR level q at which that hypothesis would be rejected. What is the BH-adjusted p-value of the hypothesis with raw p-value 0.009? Give your answer as a decimal or a reduced fraction.
Related problems & prerequisites
Worth solving first
- The Smallest of Ten p-values 5.0/10
- Simultaneous Intervals by Bonferroni 5.0/10
- Two Hits Among Twenty Nulls 4.0/10
Source: Benjamini-Hochberg adjusted p-values (q-values) with the monotonicity step, as in the standard p.adjust implementation. Statement written for AxiomIQ.