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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…

统计理论 · 数学 2021-07-06 Cynthia Dwork , Weijie J. Su , Li Zhang

Multivariate statistics are often available as well as necessary in hypothesis tests. We study how to use such statistics to control not only false discovery rate (FDR) but also positive FDR (pFDR) with good power. We show that FDR can be…

统计理论 · 数学 2008-05-21 Zhiyi Chi

The mitigation of false positives is an important issue when conducting multiple hypothesis testing. The most popular paradigm for false positives mitigation in high-dimensional applications is via the control of the false discovery rate…

统计方法学 · 统计学 2018-07-17 Hien D. Nguyen , Yohan Yee , Geoffrey J. McLachlan , Jason P. Lerch

We address the multiple testing problem under the assumption that the true/false hypotheses are driven by a Hidden Markov Model (HMM), which is recognized as a fundamental setting to model multiple testing under dependence since the seminal…

统计方法学 · 统计学 2021-05-04 Marie Perrot-Dockès , Gilles Blanchard , Pierre Neuvial , Etienne Roquain

We present a procedure for controlling FWER when sequentially considering successive subfamilies of null hypotheses and rejecting at most one from each subfamily. Our procedure differs from previous procedures for controlling FWER by…

统计方法学 · 统计学 2017-02-15 Geoffrey I. Webb , Mark van der Laan

To find interesting items in genome-wide association studies or next generation sequencing data, a crucial point is to design powerful false discovery rate (FDR) controlling procedures that suitably combine discrete tests (typically…

统计理论 · 数学 2017-09-18 Sebastian Döhler , Guillermo Durand , Etienne Roquain

MaxT is a highly popular resampling-based multiple testing procedure, which controls the Familywise Error Rate (FWER) and is powerful under dependence. This paper generalizes maxT to what we term ``multi-resolution'' False Discovery…

统计方法学 · 统计学 2026-05-05 Jesse Hemerik

The genetic basis of multiple phenotypes such as gene expression, metabolite levels, or imaging features is often investigated by testing a large collection of hypotheses, probing the existence of association between each of the traits and…

应用统计 · 统计学 2015-04-06 Christine Peterson , Marina Bogomolov , Yoav Benjamini , Chiara Sabatti

While traditional multiple testing procedures prohibit adaptive analysis choices made by users, Goeman and Solari (2011) proposed a simultaneous inference framework that allows users such flexibility while preserving high-probability bounds…

统计理论 · 数学 2021-01-05 Eugene Katsevich , Aaditya Ramdas

False discovery rate (FDR) has been widely used as an error measure in large scale multiple testing problems, but most research in the area has been focused on procedures for controlling the FDR based on independent test statistics or the…

统计方法学 · 统计学 2009-09-29 Weihua Tang , Cun-Hui Zhang

Large-scale hypothesis testing is central to modern science, where controlling the False Discovery Rate (FDR) has become the standard approach to managing false positives across many simultaneous tests. Hypotheses rarely exist in isolation;…

统计方法学 · 统计学 2026-05-19 Binyamin Perets , Shie Mannor

The highly influential two-group model in testing a large number of statistical hypotheses assumes that the test statistics are drawn independently from a mixture of a high probability null distribution and a low probability alternative.…

统计方法学 · 统计学 2020-12-08 Ruth Heller , Saharon Rosset

Controlling the false discovery rate (FDR) in variable selection becomes challenging when predictors are correlated, as existing methods often exclude all members of correlated groups and consequently perform poorly for prediction. We…

统计方法学 · 统计学 2026-03-03 Sarah Organ , Toby Kenney , Hong Gu

Online testing procedures aim to control the extent of false discoveries over a sequence of hypothesis tests, allowing for the possibility that early-stage test results influence the choice of hypotheses to be tested in later stages.…

统计方法学 · 统计学 2021-10-18 Aaron Fisher

We provide the first differentially private algorithms for controlling the false discovery rate (FDR) in multiple hypothesis testing, with essentially no loss in power under certain conditions. Our general approach is to adapt a well-known…

统计理论 · 数学 2015-11-13 Cynthia Dwork , Weijie Su , Li Zhang

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…

统计方法学 · 统计学 2025-09-04 Ziyu Xu , Lasse Fischer , Aaditya Ramdas

In this paper we introduce and investigate a new rejection curve for asymptotic control of the false discovery rate (FDR) in multiple hypotheses testing problems. We first give a heuristic motivation for this new curve and propose some…

统计理论 · 数学 2009-03-31 Helmut Finner , Thorsten Dickhaus , Markus Roters

In the multiple testing problem with independent tests, the classical linear step-up procedure controls the false discovery rate (FDR) at level $\pi_0\alpha$, where $\pi_0$ is the proportion of true null hypotheses and $\alpha$ is the…

统计方法学 · 统计学 2019-08-29 Peter MacDonald , Kun Liang , Arnold Janssen

A new online multiple testing procedure is described in the context of anomaly detection, which controls the False Discovery Rate (FDR). An accurate anomaly detector must control the false positive rate at a prescribed level while keeping…

统计方法学 · 统计学 2024-12-17 Etienne Krönert , Alain Célisse , Dalila Hattab

High-dimensional feature selection is routinely required to balance statistical power with strict control of multiple-error metrics such as the k-Family-Wise Error Rate (k-FWER) and the False Discovery Proportion (FDP), yet some existing…

统计方法学 · 统计学 2026-03-03 Xuelin Zhang , Jingxuan Liang , Xinyue Liu , Hong Chen , Biqin Song