On the Benjamini-Hochberg method

DOI10.1214/009053606000000425zbMath1246.62170arXivmath/0611265OpenAlexW2113175552MaRDI QIDQ449951

José António Sousa Jorge Ferreira, Aeilko H. Zwinderman

Publication date: 3 September 2012

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

Full work available at URL: https://arxiv.org/abs/math/0611265

zbMATH Keywords

multiple testingfalse discovery rategoodness of fitempirical distributions

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Asymptotic properties of parametric tests (62F05) Paired and multiple comparisons; multiple testing (62J15)

Related Items (29)

False discovery rate control with unknown null distribution: is it possible to mimic the oracle? ⋮ Finding causative genes from high-dimensional data: an appraisal of statistical and machine learning approaches ⋮ FarmTest: Factor-Adjusted Robust Multiple Testing With Approximate False Discovery Control ⋮ Simultaneous testing of multiple hypotheses using generalized \(p\)-values ⋮ On the bias and variance of odds ratio, relative risk and false discovery proportion ⋮ Variable selection procedures from multiple testing ⋮ Robust inference with knockoffs ⋮ Adaptive novelty detection with false discovery rate guarantee ⋮ A dynamic screening algorithm for hierarchical binary marketing data ⋮ Robust high-dimensional tuning free multiple testing ⋮ Exact calculations for false discovery proportion with application to least favorable configura\-tions ⋮ Estimating the Statistical Power of the Benjamini-Hochberg Procedure ⋮ Evaluations of FDR-controlling procedures in multiple hypothesis testing ⋮ A conservative estimator for the proportion of false nulls based on Dvoretzky, Kiefer and Wolfowitz inequality ⋮ Estimating False Discovery Proportion Under Arbitrary Covariance Dependence ⋮ A multivariate version of the Benjamini-Hochberg method ⋮ New FDR bounds for discrete and heterogeneous tests ⋮ A review of modern multiple hypothesis testing, with particular attention to the false discovery proportion ⋮ Wavelet-based Benjamini-Hochberg procedures for multiple testing under dependence ⋮ On false discovery rate thresholding for classification under sparsity ⋮ A clarifying comparison of methods for controlling the false discovery rate ⋮ Proportion of Non-Zero Normal Means: Universal Oracle Equivalences and Uniformly Consistent Estimators ⋮ A note on multiple testing for composite null hypotheses ⋮ A novel matched-pairs feature selection method considering with tumor purity for differential gene expression analyses ⋮ Multiple Testing with the Structure-Adaptive Benjamini–Hochberg Algorithm ⋮ Detecting multiple replicating signals using adaptive filtering procedures ⋮ General power and sample size calculations for high-dimensional genomic data ⋮ Conditional calibration for false discovery rate control under dependence ⋮ Probabilistic inference for multiple testing

Cites Work

• Unnamed Item
• Unnamed Item
• Multiple hypothesis testing in microarray experiments.
• The control of the false discovery rate in multiple testing under dependency.
• Some results on false discovery rate in stepwise multiple testing procedures.
• Higher criticism for detecting sparse heterogeneous mixtures.
• A stochastic process approach to false discovery control.
• FDR-controlling stepwise procedures and their false negatives rates
• False discovery and false nondiscovery rates in single-step multiple testing procedures
• Adapting to unknown sparsity by controlling the false discovery rate
• Significance analysis of microarrays applied to the ionizing radiation response
• A Generalization of the Glivenko-Cantelli Theorem
• Estimation of False Discovery Rates in Multiple Testing: Application to Gene Microarray Data
• Multiple-Testing Strategy for Analyzing cDNA Array Data on Gene Expression
• Analyzing Microarray Gene Expression Data
• Strong Control, Conservative Point Estimation and Simultaneous Conservative Consistency of False Discovery Rates: A Unified Approach
• A Direct Approach to False Discovery Rates
• Operating Characteristics and Extensions of the False Discovery Rate Procedure

This page was built for publication: On the Benjamini-Hochberg method