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By restricting the possible values of the proportion of null hypotheses that are true, the local false discovery rate (LFDR) can be estimated using as few as one comparison. The proportion of proteins with equivalent abundance was estimated…

统计方法学 · 统计学 2011-05-13 David R. Bickel

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

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

Large-scale multiple testing with highly correlated test statistics arises frequently in many scientific research. Incorporating correlation information in estimating false discovery proportion has attracted increasing attention in recent…

统计方法学 · 统计学 2019-03-28 Jianqing Fan , Xu Han

Modern scientific technology has provided a new class of large-scale simultaneous inference problems, with thousands of hypothesis tests to consider at the same time. Microarrays epitomize this type of technology, but similar situations…

统计理论 · 数学 2007-11-06 Bradley Efron

This work studies distributed multiple testing with false discovery rate (FDR) control in the presence of Byzantine attacks, where an adversary captures a fraction of the nodes and corrupts their reported p-values. We focus on two baseline…

信号处理 · 电气工程与系统科学 2025-04-28 Daofu Zhang , Mehrdad Pournaderi , Yu Xiang , Pramod Varshney

Multiple comparison procedures that control a family-wise error rate or false discovery rate provide an achieved error rate as the adjusted p-value for each hypothesis tested. However, since such p-values are not probabilities that the null…

统计方法学 · 统计学 2013-09-03 David R. Bickel

The large bulk of work in multiple testing has focused on specifying procedures that control the false discovery rate (FDR), with relatively less attention being paid to the corresponding Type II error known as the false non-discovery rate…

统计理论 · 数学 2020-05-11 Max Rabinovich , Michael I. Jordan , Martin J. Wainwright

Genomic data are subject to various sources of confounding, such as demographic variables, biological heterogeneity, and batch effects. To identify genomic features associated with a variable of interest in the presence of confounders, the…

统计方法学 · 统计学 2025-12-08 Asmita Roy , Jun Chen , Xianyang Zhang

Identifying signals that replicate across multiple studies is essential for establishing robust scientific evidence, yet existing methods for high-dimensional replicability analysis either rely on restrictive modeling assumptions, are…

统计方法学 · 统计学 2026-03-05 Haochen Lei , Yan Li , Hongyuan Cao

False discovery rate (FDR) is a cornerstone of modern multiple testing. However, it often fails to guarantee the reliability of "marginal" discoveries that lie at the boundary of the rejection set, which are often crucial in high-precision…

统计方法学 · 统计学 2026-05-12 Yifan Zhang , Wentao Zhang , Changliang Zou , Haojie Ren

Large-scale multiple testing is a fundamental problem in high dimensional statistical inference. It is increasingly common that various types of auxiliary information, reflecting the structural relationship among the hypotheses, are…

统计方法学 · 统计学 2021-10-07 Hongyuan Cao , Jun Chen , Xianyang Zhang

This paper develops a general framework for controlling the false discovery rate (FDR) in multiple testing of Gaussian means against two-sided alternatives. The widely used Benjamini-Hochberg (BH) procedure provides exact FDR control under…

统计方法学 · 统计学 2025-11-26 Deepra Ghosh , Sanat K. Sarkar

In large scale multiple testing, the use of an empirical null distribution rather than the theoretical null distribution can be critical for correct inference. This paper proposes a ``mode matching'' method for fitting an empirical null…

应用统计 · 统计学 2009-01-27 Armin Schwartzman

Understanding effect modification -- how treatment effects vary across subpopulations -- is practically important in observational studies, as it helps identify which subgroups are likely to benefit from a given treatment. In this paper, we…

统计方法学 · 统计学 2026-05-12 Yu Gui , Dylan S Small , Zhimei Ren

Improved procedures, in terms of smaller missed discovery rates (MDR), for performing multiple hypotheses testing with weak and strong control of the family-wise error rate (FWER) or the false discovery rate (FDR) are developed and studied.…

统计理论 · 数学 2011-03-10 Edsel A. Peña , Joshua D. Habiger , Wensong Wu

The problem of selecting a handful of truly relevant variables in supervised machine learning algorithms is a challenging problem in terms of untestable assumptions that must hold and unavailability of theoretical assurances that selection…

统计方法学 · 统计学 2023-11-10 Mehdi Rostami , Olli Saarela

This paper focuses on the influence of a misspecified covariance structure on false discovery rate for the large scale multiple testing problem. Specifically, we evaluate the influence on the marginal distribution of local fdr statistics,…

统计理论 · 数学 2019-02-19 Ye Liang , Joshua D. Habiger , Xiaoyi Min

Public data repositories have enabled researchers to compare results across multiple genomic studies in order to replicate findings. A common approach is to first rank genes according to an hypothesis of interest within each study. Then,…

应用统计 · 统计学 2012-06-29 Loki Natarajan , Minya Pu , Karen Messer

We consider the problem of identifying whether findings replicate from one study of high dimension to another, when the primary study guides the selection of hypotheses to be examined in the follow-up study as well as when there is no…

统计方法学 · 统计学 2014-01-28 Marina Bogomolov , Ruth Heller