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This paper is a review of the popular Benjamini Hochberg Method and other related useful methods of Multiple Hypothesis testing. This is written with the purpose of serving a short but complete easy to understand review of the main article…

Methodology · Statistics 2014-06-30 Anish Acharya

Controlling the false discovery rate (FDR) is a popular approach to multiple testing, variable selection, and related problems of simultaneous inference. In many contemporary applications, models are not specified by discrete variables,…

Statistics Theory · Mathematics 2024-04-16 Mateo Díaz , Venkat Chandrasekaran

Controlling false discovery rate (FDR) while leveraging the side information of multiple hypothesis testing is an emerging research topic in modern data science. Existing methods rely on the test-level covariates while ignoring possible…

Machine Learning · Statistics 2021-01-26 Lin Qiu , Nils Murrugarra-Llerena , Vítor Silva , Lin Lin , Vernon M. Chinchilli

False discovery rate (FDR) has been a key metric for error control in multiple hypothesis testing, and many methods have developed for FDR control across a diverse cross-section of settings and applications. We develop a closure principle…

Methodology · Statistics 2025-09-04 Ziyu Xu , Lasse Fischer , Aaditya Ramdas

Motivated by the genomic application of expression quantitative trait loci (eQTL) mapping, we propose a new procedure to perform simultaneous testing of multiple hypotheses using Bayes factors as input test statistics. One of the most…

Methodology · Statistics 2016-06-09 Xiaoquan Wen

False discovery rate (FDR) controlling procedures provide important statistical guarantees for the replicability in signal identification based on multiple hypotheses testing. In many fields of study, FDR controlling procedures are used in…

Methodology · Statistics 2022-10-04 Ran Dai , Cheng Zheng

Establishing the frequentist properties of Bayesian approaches widens their appeal and offers new understanding. In hypothesis testing, Bayesian model averaging addresses the problem that conclusions are sensitive to variable selection. But…

Methodology · Statistics 2025-05-12 Helen R. Fryer , Nicolas Arning , Daniel J. Wilson

Multiple hypothesis testing with false discovery rate (FDR) control is a fundamental problem in statistical inference, with broad applications in genomics, drug screening, and outlier detection. In many such settings, researchers may have…

Methodology · Statistics 2026-02-19 Yonghoon Lee , Meshi Bashari , Edgar Dobriban , Yaniv Romano

Businesses frequently run online controlled experiments (i.e., A/B tests) to learn about the effect of an intervention on multiple business metrics. To account for multiple hypothesis testing, multiple metrics are commonly aggregated into a…

Methodology · Statistics 2026-01-22 Luke Hagar , Nathaniel T. Stevens

A resurgence of interest in multiple hypothesis testing has occurred in the last decade. Motivated by studies in genomics, microarrays, DNA sequencing, drug screening, clinical trials, bioassays, education and psychology, statisticians have…

Statistics Theory · Mathematics 2007-06-13 Arthur Cohen , Harold B. Sackrowitz

False discovery rate (FDR) is a common way to control the number of false discoveries in multiple testing. There are a number of approaches available for controlling FDR. However, for functional test statistics, which are discretized into…

Methodology · Statistics 2024-12-03 Tomáš Mrkvička , Mari Myllymäki

In the context of multiple hypotheses testing, the proportion $\pi_0$ of true null hypotheses in the pool of hypotheses to test often plays a crucial role, although it is generally unknown a priori. A testing procedure using an implicit or…

Statistics Theory · Mathematics 2009-02-17 Gilles Blanchard , Etienne Roquain

Differential privacy provides a rigorous framework for privacy-preserving data analysis. This paper proposes the first differentially private procedure for controlling the false discovery rate (FDR) in multiple hypothesis testing. Inspired…

Statistics Theory · Mathematics 2021-07-06 Cynthia Dwork , Weijie J. Su , Li Zhang

High-dimensional sparse generalized linear models (GLMs) have emerged in the setting that the number of samples and the dimension of variables are large, and even the dimension of variables grows faster than the number of samples. False…

Statistics Theory · Mathematics 2021-05-04 Chang Cui , Jinzhu Jia , Yijun Xiao , Huiming Zhang

This paper deals with the problem of simultaneously making many (M) binary decisions based on one realization of a random data matrix X. M is typically large and X will usually have M rows associated with each of the M decisions to make,…

Statistics Theory · Mathematics 2015-03-19 Wensong Wu , Edsel A. Peña

False discovery rate (FDR) procedures provide misleading inference when testing multiple null hypotheses with heterogeneous multinomial data. For example, in the motivating study the goal is to identify species of bacteria near the roots of…

Methodology · Statistics 2015-11-05 Joshua Habiger , David Watts , Michael Anderson

Complex large-scale studies, such as those related to microarray data and fMRI studies, often involve testing multiple hierarchically ordered hypotheses. However, most existing false discovery rate (FDR) controlling procedures do not…

Methodology · Statistics 2016-12-15 Gavin Lynch , Wenge Guo

Multiple hypothesis testing, a situation when we wish to consider many hypotheses, is a core problem in statistical inference that arises in almost every scientific field. In this setting, controlling the false discovery rate (FDR), which…

Statistics Theory · Mathematics 2019-03-19 Shiyun Chen , Shiva Kasiviswanathan

Multiple testing problems are a staple of modern statistical analysis. The fundamental objective of multiple testing procedures is to reject as many false null hypotheses as possible (that is, maximize some notion of power), subject to…

Methodology · Statistics 2020-11-30 Saharon Rosset , Ruth Heller , Amichai Painsky , Ehud Aharoni

The $\gamma$-FDP and $k$-FWER multiple testing error metrics, which are tail probabilities of the respective error statistics, have become popular recently as less-stringent alternatives to the FDR and FWER. We propose general and flexible…

Methodology · Statistics 2016-12-20 Jay Bartroff