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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

In many scenarios such as genome-wide association studies where dependences between variables commonly exist, it is often of interest to infer the interaction effects in the model. However, testing pairwise interactions among millions of…

统计方法学 · 统计学 2022-09-02 Jingyi Duan , Yang Ning , Xi Chen , Yong Chen

When testing a number of statistical hypotheses using data from location families, it is often useful to control the false discovery rate (FDR) not just for hypotheses of the null values but also of other parameter values that are deemed…

统计方法学 · 统计学 2026-05-12 Zijun Gao , Wenjie Hu , Qingyuan Zhao

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

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

Often in multiple testing, the hypotheses appear in non-overlapping blocks with the associated $p$-values exhibiting dependence within but not between blocks. We consider adapting the Benjamini-Hochberg method for controlling the false…

统计方法学 · 统计学 2016-11-11 Wenge Guo , Sanat Sarkar

We propose the use of a new false discovery rate (FDR) controlling procedure as a model selection penalized method, and compare its performance to that of other penalized methods over a wide range of realistic settings: nonorthogonal design…

应用统计 · 统计学 2009-05-19 Yoav Benjamini , Yulia Gavrilov

In this paper, we have attempted to study the behaviour of the family wise error rate (FWER) for Bonferroni's procedure and false discovery rate (FDR) of the Benjamini-Hodgeberg procedure for simultaneous testing problem with equicorrelated…

统计方法学 · 统计学 2020-08-20 Nabaneet Das , Subir Kumar Bhandari

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…

统计方法学 · 统计学 2016-12-15 Gavin Lynch , Wenge Guo

Consider the problem of testing $s$ hypotheses simultaneously. The usual approach restricts attention to procedures that control the probability of even one false rejection, the familywise error rate (FWER). If $s$ is large, one might be…

统计理论 · 数学 2007-11-06 Joseph P. Romano , Michael Wolf

When testing multiple hypotheses, a suitable error rate should be controlled even in exploratory trials. Conventional methods to control the False Discovery Rate (FDR) assume that all p-values are available at the time point of test…

统计方法学 · 统计学 2021-12-21 Sonja Zehetmayer , Martin Posch , Franz Koenig

There has been recent interest in extending the ideas of False Discovery Rates (FDR) to variable selection in regression settings. Traditionally the FDR in these settings has been defined in terms of the coefficients of the full regression…

统计方法学 · 统计学 2013-02-12 Max Grazier G'Sell , Trevor Hastie , Robert Tibshirani

In the setting of multiple testing, compound p-values generalize p-values by asking for superuniformity to hold only \emph{on average} across all true nulls. We study the properties of the Benjamini--Hochberg procedure applied to compound…

统计理论 · 数学 2025-07-30 Rina Foygel Barber , Richard J Samworth

This paper revisits the following open question in simultaneous testing of multivariate normal means against two-sided alternatives: Can the method of Benjamini and Hochberg (BH, 1995) control the false discovery rate (FDR) without imposing…

统计理论 · 数学 2023-04-12 Sanat K. Sarkar

Multiple hypothesis testing often involves composite nulls, i.e., nulls that are associated with two or more distributions. In many cases, it is reasonable to assume that there is a prior distribution on the distributions despite it is…

统计理论 · 数学 2008-07-31 Zhiyi Chi

The local false discovery rate (lfdr) of Efron et al. (2001) enjoys major conceptual and decision-theoretic advantages over the false discovery rate (FDR) as an error criterion in multiple testing, but is only well-defined in Bayesian…

统计理论 · 数学 2025-02-25 Daniel Xiang , Jake A. Soloff , William Fithian

The steep rise in availability and usage of high-throughput technologies in biology brought with it a clear need for methods to control the False Discovery Rate (FDR) in multiple tests. Benjamini and Hochberg (BH) introduced in 1995 a…

统计方法学 · 统计学 2011-08-11 Amit Zeisel , Or Zuk , Eytan Domany

The probability of false discovery proportion (FDP) exceeding $\gamma\in[0,1)$, defined as $\gamma$-FDP, has received much attention as a measure of false discoveries in multiple testing. Although this measure has received acceptance due to…

统计理论 · 数学 2014-06-03 Wenge Guo , Li He , Sanat K. Sarkar

We introduce a new class of methods for finite-sample false discovery rate (FDR) control in multiple testing problems with dependent test statistics where the dependence is fully or partially known. Our approach separately calibrates a…

统计方法学 · 统计学 2020-07-22 William Fithian , Lihua Lei

This analysis report presents an in-depth exploration of multiple hypothesis testing in the context of Genomics RNA-seq differential expression (DE) analysis, with a primary focus on techniques designed to control the false discovery rate…

统计方法学 · 统计学 2025-07-01 Shyam Gupta