On a generalized false discovery rate

DOI10.1214/08-AOS617zbMath1161.62041arXiv0906.3091OpenAlexW2118778496MaRDI QIDQ1018650

Wenge Guo, Sanat Kumar Sarkar

Publication date: 20 May 2009

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.3091

zbMATH Keywords

average powermultiple hypothesis testinggene expressiongeneralized FDRgeneralized FWERoracle \(k\)-FDR procedurestepup procedures

Mathematics Subject Classification ID

Multivariate analysis (62H99) Paired and multiple comparisons; multiple testing (62J15)

Related Items

Step-up and step-down methods for testing multiple hypotheses in sequential experiments, On stepwise control of the generalized familywise error rate, Deriving and comparing the distribution for the number of false positives in single step methods to control \(k\)-FWER, Simultaneous and selective inference: Current successes and future challenges

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Control of generalized error rates in multiple testing
• Estimating the proportion of false null hypotheses among a large number of independently tested hypotheses
• Stepup procedures for control of generalizations of the familywise error rate
• A concept of negative dependence using stochastic ordering
• Classes of orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions
• Resampling-based false discovery rate controlling multiple test procedures for correlated test statistics.
• The control of the false discovery rate in multiple testing under dependency.
• Some results on false discovery rate in stepwise multiple testing procedures.
• Controlling the number of false discoveries: application to high-dimensional genomic data
• Stepup procedures controlling generalized FWER and generalized FDR
• Two-stage stepup procedures controlling FDR
• Generalizing Simes' test and Hochberg's stepup procedure
• False discovery and false nondiscovery rates in single-step multiple testing procedures
• Generalizations of the familywise error rate
• Adaptive linear step-up procedures that control the false discovery rate
• Oracle and Adaptive Compound Decision Rules for False Discovery Rate Control
• A sharper Bonferroni procedure for multiple tests of significance
• Strong Control, Conservative Point Estimation and Simultaneous Conservative Consistency of False Discovery Rates: A Unified Approach
• A Direct Approach to False Discovery Rates
• Estimating the Null and the Proportion of Nonnull Effects in Large-Scale Multiple Comparisons
• A Generalized Sidak-Holm Procedure and Control of Generalized Error Rates under Independence
• Statistical significance for genomewide studies
• Multiple Testing. Part I. Single-Step Procedures for Control of General Type I Error Rates