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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…

统计方法学 · 统计学 2016-11-01 Rina Foygel Barber , Aaditya Ramdas

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

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

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

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

E-values have gained attention as potential alternatives to p-values as measures of uncertainty, significance and evidence. In brief, e-values are realized by random variables with expectation at most one under the null; examples include…

统计理论 · 数学 2021-12-16 Ruodu Wang , Aaditya Ramdas

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

Multivariate statistics are often available as well as necessary in hypothesis tests. We study how to use such statistics to control not only false discovery rate (FDR) but also positive FDR (pFDR) with good power. We show that FDR can be…

统计理论 · 数学 2008-05-21 Zhiyi Chi

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

统计方法学 · 统计学 2015-03-05 Adel Javanmard , Andrea Montanari

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

Modern data analysis frequently involves large-scale hypothesis testing, which naturally gives rise to the problem of maintaining control of a suitable type I error rate, such as the false discovery rate (FDR). In many biomedical and…

统计方法学 · 统计学 2023-07-25 David S. Robertson , James M. S. Wason , Aaditya Ramdas

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

Multiple hypothesis testing, a situation when we wish to consider many hypotheses, is a core problem in statistical inference that arises in almost every scientific field. In this setting, controlling the false discovery rate (FDR), which…

统计理论 · 数学 2019-03-19 Shiyun Chen , Shiva Kasiviswanathan

Multiple testing with false discovery rate (FDR) control has been widely conducted in the ``discrete paradigm" where p-values have discrete and heterogeneous null distributions. However, in this scenario existing FDR procedures often lose…

统计方法学 · 统计学 2019-07-23 Xiongzhi Chen , R. W. Doerge , Sanat K. Sarkar

The False Discovery Rate (FDR) paradigm aims to attain certain control on Type I errors with relatively high power for multiple hypothesis testing. The Benjamini--Hochberg (BH) procedure is a well-known FDR controlling procedure. Under a…

统计理论 · 数学 2007-11-06 Zhiyi Chi

Multiple hypothesis testing is a central topic in statistics, but despite abundant work on the false discovery rate (FDR) and the corresponding Type-II error concept known as the false non-discovery rate (FNR), a fine-grained understanding…

统计理论 · 数学 2017-05-17 Maxim Rabinovich , Aaditya Ramdas , Michael I. Jordan , Martin J. Wainwright

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

In many large scale multiple testing applications, the hypotheses often have a known graphical structure, such as gene ontology in gene expression data. Exploiting this graphical structure in multiple testing procedures can improve power as…

统计方法学 · 统计学 2018-12-04 Wenge Guo , Gavin Lynch , Joseph P. Romano

We consider multiple testing with false discovery rate (FDR) control when p-values have discrete and heterogeneous null distributions. We propose a new estimator of the proportion of true null hypotheses and demonstrate that it is less…

统计方法学 · 统计学 2018-03-15 Xiongzhi Chen , Rebecca W. Doerge , Joseph F. Heyse

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