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Many approaches for multiple testing begin with the assumption that all tests in a given study should be combined into a global false-discovery-rate analysis. But this may be inappropriate for many of today's large-scale screening problems,…

Methodology · Statistics 2014-06-10 James G. Scott , Ryan C. Kelly , Matthew A. Smith , Pengcheng Zhou , Robert E. Kass

Large-scale multiple testing with correlated and heavy-tailed data arises in a wide range of research areas from genomics, medical imaging to finance. Conventional methods for estimating the false discovery proportion (FDP) often ignore the…

Methodology · Statistics 2018-09-19 Jianqing Fan , Yuan Ke , Qiang Sun , Wen-Xin Zhou

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…

Statistics Theory · Mathematics 2023-04-12 Sanat K. Sarkar

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…

Methodology · Statistics 2026-03-03 Sarah Organ , Toby Kenney , Hong Gu

How to weigh the Benjamini-Hochberg procedure? In the context of multiple hypothesis testing, we propose a new step-wise procedure that controls the false discovery rate (FDR) and we prove it to be more powerful than any weighted…

Statistics Theory · Mathematics 2009-07-13 Etienne Roquain , Mark Van De Wiel

Large-scale multiple two-sample {\em Student}'s $t$ testing problems often arise from the statistical analysis of scientific data. To detect components with different values between two mean vectors, a well-known procedure is to apply the…

Methodology · Statistics 2014-10-17 Weidong Liu

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

Simultaneously performing variable selection and inference in high-dimensional models is an open challenge in statistics and machine learning. The increasing availability of vast amounts of variables requires the adoption of specific…

Methodology · Statistics 2025-10-02 Marco Molinari , Magne Thoresen

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…

Methodology · Statistics 2021-12-21 Sonja Zehetmayer , Martin Posch , Franz Koenig

While data-driven confounder selection requires careful consideration, it is frequently employed in observational studies. Widely recognized criteria for confounder selection include the minimal-set approach, which involves selecting…

Methodology · Statistics 2025-08-21 Kazuharu Harada , Masataka Taguri

Multiple testing is a fundamental problem in high-dimensional statistical inference. Although many methods have been proposed to control false discoveries, it is still a challenging task when the tests are correlated to each other. To…

Statistics Theory · Mathematics 2022-07-06 Meng Mei , Yuan Jiang

In multiple hypothesis testing, it is well known that adaptive procedures can enhance power via incorporating information about the number of true nulls present. Under independence, we establish that two adaptive false discovery rate (FDR)…

Methodology · Statistics 2024-01-25 Dennis Leung , Ninh Tran

The positive false discovery rate (pFDR) is a useful overall measure of errors for multiple hypothesis testing, especially when the underlying goal is to attain one or more discoveries. Control of pFDR critically depends on how much…

Statistics Theory · Mathematics 2011-11-09 Zhiyi Chi

We develop a new class of distribution--free multiple testing rules for false discovery rate (FDR) control under general dependence. A key element in our proposal is a symmetrized data aggregation (SDA) approach to incorporating the…

Methodology · Statistics 2021-05-27 Lilun Du , Xu Guo , Wenguang Sun , Changliang Zou

Simultaneously performing variable selection and inference in high-dimensional regression models is an open challenge in statistics and machine learning. The increasing availability of vast amounts of variables requires the adoption of…

Methodology · Statistics 2025-05-08 Marco Molinari , Magne Thoresen

Consider the problem of testing multiple null hypotheses. A classical approach to dealing with the multiplicity problem is to restrict attention to procedures that control the familywise error rate ($FWER$), the probability of even one…

Statistics Theory · Mathematics 2007-06-13 Joseph P. Romano , Azeem M. Shaikh

Much effort has been done to control the "false discovery rate" (FDR) when $m$ hypotheses are tested simultaneously. The FDR is the expectation of the "false discovery proportion" $\text{FDP}=V/R$ given by the ratio of the number of false…

Statistics Theory · Mathematics 2018-01-09 Marc Ditzhaus , Arnold Janssen

Multiple hypothesis testing has been widely applied to problems dealing with high-dimensional data, e.g., selecting significant variables and controlling the selection error rate. The most prevailing measure of error rate used in the…

Methodology · Statistics 2022-06-07 Xiaoya Sun , Yan Fu

This work concerns controlling the false discovery rate (FDR) in networks under communication constraints. We present sample-and-forward, a flexible and communication-efficient version of the Benjamini-Hochberg (BH) procedure for multihop…

Signal Processing · Electrical Eng. & Systems 2023-05-17 Mehrdad Pournaderi , Yu Xiang

We propose an online false discovery rate (FDR) controlling method based on conditional local FDR (LIS), designed for infectious disease datasets that are discrete and exhibit complex dependencies. Unlike existing online FDR methods, which…

Methodology · Statistics 2026-02-23 Seohwa Hwang , Junyong Park
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