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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

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

This paper extends the theory of false discovery rates (FDR) pioneered by Benjamini and Hochberg [J. Roy. Statist. Soc. Ser. B 57 (1995) 289-300]. We develop a framework in which the False Discovery Proportion (FDP)--the number of false…

Statistics Theory · Mathematics 2007-06-13 Christopher Genovese , Larry Wasserman

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

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

In many practical applications of multiple hypothesis testing using the False Discovery Rate (FDR), the given hypotheses can be naturally partitioned into groups, and one may not only want to control the number of false discoveries (wrongly…

Methodology · Statistics 2016-11-01 Rina Foygel Barber , Aaditya Ramdas

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…

Statistics Theory · Mathematics 2017-09-18 Sebastian Döhler , Guillermo Durand , Etienne Roquain

We provide new non-asymptotic false discovery proportion (FDP) confidence envelopes in several multiple testing settings relevant for modern high dimensional-data methods. We revisit the multiple testing scenarios considered in the recent…

Statistics Theory · Mathematics 2024-09-18 Iqraa Meah , Gilles Blanchard , Etienne Roquain

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 this work we study an adaptive step-down procedure for testing $m$ hypotheses. It stems from the repeated use of the false discovery rate controlling the linear step-up procedure (sometimes called BH), and makes use of the critical…

Statistics Theory · Mathematics 2009-04-01 Yulia Gavrilov , Yoav Benjamini , Sanat K. Sarkar

As the volume and complexity of data continue to expand across various scientific disciplines, the need for robust methods to account for the multiplicity of comparisons has grown widespread. A popular measure of type 1 error rate in…

Methodology · Statistics 2024-11-19 Jianliang He , Bowen Gang , Luella Fu

The generalized linear models (GLM) have been widely used in practice to model non-Gaussian response variables. When the number of explanatory features is relatively large, scientific researchers are of interest to perform controlled…

Methodology · Statistics 2020-07-03 Chenguang Dai , Buyu Lin , Xin Xing , Jun S. Liu

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…

Statistics Theory · Mathematics 2015-11-13 Cynthia Dwork , Weijie Su , Li Zhang

The false discovery rate (FDR)---the expected fraction of spurious discoveries among all the discoveries---provides a popular statistical assessment of the reproducibility of scientific studies in various disciplines. In this work, we…

Machine Learning · Statistics 2015-11-10 Weijie Su , Junyang Qian , Linxi Liu

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.…

Methodology · Statistics 2020-12-08 Ruth Heller , Saharon Rosset

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…

Statistics Theory · Mathematics 2009-03-31 Helmut Finner , Thorsten Dickhaus , Markus Roters

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…

Methodology · Statistics 2025-11-26 Deepra Ghosh , Sanat K. Sarkar

We develop a flexible feature selection framework based on deep neural networks that approximately controls the false discovery rate (FDR), a measure of Type-I error. The method applies to architectures whose first layer is fully connected.…

Machine Learning · Statistics 2026-02-10 Kazuma Sawaya

This paper is concerned with false discovery rate (FDR) control in large-scale multiple testing problems. We first propose a new data-driven testing procedure for controlling the FDR in large-scale t-tests for one-sample mean problem. The…

Statistics Theory · Mathematics 2020-03-02 Changliang Zou , Haojie Ren , Xu Guo , Runze Li

False discovery rate (FDR) is commonly used for correction for multiple testing in neuroimaging studies. However, when using two-tailed tests, making directional inferences about the results can lead to a vastly inflated error rate, even…

Methodology · Statistics 2025-12-16 Anderson M. Winkler , Paul A. Taylor , Thomas E. Nichols , Chris Rorden