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Multiple hypothesis testing is a core problem in statistical inference and arises in almost every scientific field. Given a set of null hypotheses $\mathcal{H}(n) = (H_1,\dotsc, H_n)$, Benjamini and Hochberg introduced the false discovery…

统计理论 · 数学 2017-07-10 Adel Javanmard , Andrea Montanari

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

We propose a general and flexible procedure for testing multiple hypotheses about sequential (or streaming) data that simultaneously controls both the false discovery rate (FDR) and false nondiscovery rate (FNR) under minimal assumptions…

统计方法学 · 统计学 2019-01-14 Jay Bartroff , Jinlin Song

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

Modern biomedical research frequently involves testing multiple related hypotheses, while maintaining control over a suitable error rate. In many applications the false discovery rate (FDR), which is the expected proportion of false…

统计方法学 · 统计学 2018-09-27 David S. Robertson , James M. S. Wason

False discovery rate (FDR) procedures provide misleading inference when testing multiple null hypotheses with heterogeneous multinomial data. For example, in the motivating study the goal is to identify species of bacteria near the roots of…

统计方法学 · 统计学 2015-11-05 Joshua Habiger , David Watts , Michael Anderson

Multiple tests are designed to test a whole collection of null hypotheses simultaneously. Their quality is often judged by the false discovery rate (FDR), i.e. the expectation of the quotient of the number of false rejections divided by the…

统计理论 · 数学 2015-11-24 Julia Benditkis , Philipp Heesen , Arnold Janssen

Multiple testing is an important research area with widespread scientific applications, including in biology and neuroscience. Among popularly adopted multiple testing procedures, many are based on p-values or Local false discovery rate…

统计方法学 · 统计学 2025-06-26 Shenghao Qin , Bowen Gang , Yin Xia

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

Results on the false discovery rate (FDR) and the false nondiscovery rate (FNR) are developed for single-step multiple testing procedures. In addition to verifying desirable properties of FDR and FNR as measures of error rates, these…

统计理论 · 数学 2007-06-13 Sanat K. Sarkar

The false discovery rate (FDR) measures the share of false positives in a set of statistical tests. I develop simple and intuitive bounds on the FDR in cross-sectional predictability publications. The simplest bound requires just a few…

综合金融 · 定量金融 2025-11-20 Andrew Y. Chen

False discovery rate (FDR) control is a popular approach for maintaining the integrity of statistical analyses, especially in high-dimensional data settings, where multiple comparisons increase the risk of false positives. FDR control has…

信号处理 · 电气工程与系统科学 2026-03-03 Fabian Scheidt , Jasin Machkour , Michael Muma

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…

机器学习 · 统计学 2015-11-10 Weijie Su , Junyang Qian , Linxi Liu

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…

统计方法学 · 统计学 2025-12-16 Anderson M. Winkler , Paul A. Taylor , Thomas E. Nichols , Chris Rorden

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

Out of the participants in a randomized experiment with anticipated heterogeneous treatment effects, is it possible to identify which subjects have a positive treatment effect? While subgroup analysis has received attention, claims about…

统计方法学 · 统计学 2024-05-14 Boyan Duan , Larry Wasserman , Aaditya Ramdas

This paper discusses several p-value-free multiple hypothesis testing methods proposed in recent years and organizes them by introducing a unified framework termed competition test. Although existing competition tests are effective in…

统计方法学 · 统计学 2025-12-02 Mingzhou Deng , Yan Fu

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…

统计理论 · 数学 2007-06-13 Joseph P. Romano , Azeem M. Shaikh

Despite the popularity of the false discovery rate (FDR) as an error control metric for large-scale multiple testing, its close Bayesian counterpart the local false discovery rate (lfdr), defined as the posterior probability that a…

统计方法学 · 统计学 2023-09-22 Jake A. Soloff , Daniel Xiang , William Fithian

In modern multiple hypothesis testing, the availability of covariate information alongside the primary test statistics has motivated the development of more powerful and adaptive inference methods. However, most existing approaches rely on…

统计方法学 · 统计学 2025-11-20 Taehyoung Kim , Seohwa Hwang , Junyong Park