Empirical Bayes Control of the False Discovery Exceedance
Pallavi Basu · Aug 17, 2023
Date: 2023-08-17 Time: 15:30-16:30 (Montreal time) Hybrid: In person / Zoom Location: Burnside Hall 1104 https://mcgill.zoom.us/j/89623344755?pwd=S1E0QWVjSm8wRHdIYU5IZzllSXNjUT09 Meeting ID: 896 2334 4755 Passcode: 287381 Abstract: In sparse large-scale testing problems where the false discovery proportion (FDP) is highly variable, the false discovery exceedance (FDX) provides a valuable alternative to the widely used false discovery rate (FDR). We develop an empirical Bayes approach to controlling the FDX. We show that for independent hypotheses from a two-group model and dependent hypotheses from a Gaussian model fulfilling the exchangeability condition, an oracle decision rule based on ranking and thresholding the local false discovery rate (lfdr) is optimal in the sense that the power is maximized subject to FDX constraint.