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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

In recent years, multiple hypothesis testing has come to the forefront of statistical research, ostensibly in relation to applications in genomics and some other emerging fields. The false discovery rate (FDR) and its variants provide very…

统计理论 · 数学 2008-12-18 Subhashis Ghosal , Anindya Roy , Yongqiang Tang

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

There has been recent interest in extending the ideas of False Discovery Rates (FDR) to variable selection in regression settings. Traditionally the FDR in these settings has been defined in terms of the coefficients of the full regression…

统计方法学 · 统计学 2013-02-12 Max Grazier G'Sell , Trevor Hastie , Robert Tibshirani

The False Discovery Rate (FDR) is a commonly used type I error rate in multiple testing problems. It is defined as the expected False Discovery Proportion (FDP), that is, the expected fraction of false positives among rejected hypotheses.…

统计理论 · 数学 2013-10-04 Pierre Neuvial

This paper continues the line of research initiated in Liu et. al. (2016) on developing a novel framework for multiple testing of hypotheses grouped in a one-way classified form using hypothesis-specific local false discovery rates…

统计方法学 · 统计学 2022-11-22 Sanat K. Sarkar , Zhigen Zhao

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,…

统计理论 · 数学 2024-04-16 Mateo Díaz , Venkat Chandrasekaran

The PC algorithm allows investigators to estimate a complete partially directed acyclic graph (CPDAG) from a finite dataset, but few groups have investigated strategies for estimating and controlling the false discovery rate (FDR) of the…

机器学习 · 统计学 2017-05-11 Eric V. Strobl , Peter L. Spirtes , Shyam Visweswaran

Multiple hypothesis testing is a fundamental problem in high dimensional inference, with wide applications in many scientific fields. In genome-wide association studies, tens of thousands of tests are performed simultaneously to find if any…

统计方法学 · 统计学 2011-11-16 Jianqing Fan , Xu Han , Weijie Gu

We propose the use of a new false discovery rate (FDR) controlling procedure as a model selection penalized method, and compare its performance to that of other penalized methods over a wide range of realistic settings: nonorthogonal design…

应用统计 · 统计学 2009-05-19 Yoav Benjamini , Yulia Gavrilov

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 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

In large-scale multiple hypothesis testing problems, the false discovery exceedance (FDX) provides a desirable alternative to the widely used false discovery rate (FDR) when the false discovery proportion (FDP) is highly variable. We…

统计方法学 · 统计学 2023-04-21 Pallavi Basu , Luella Fu , Alessio Saretto , Wenguang Sun

In hypothesis testing, a false discovery occurs when a hypothesis is incorrectly rejected due to noise in the sample. When adaptively testing multiple hypotheses, the probability of a false discovery increases as more tests are performed.…

机器学习 · 统计学 2020-10-22 Wanrong Zhang , Gautam Kamath , Rachel Cummings

Selecting relevant features associated with a given response variable is an important issue in many scientific fields. Quantifying quality and uncertainty of a selection result via false discovery rate (FDR) control has been of recent…

统计方法学 · 统计学 2020-12-17 Chenguang Dai , Buyu Lin , Xin Xing , Jun S. Liu

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…

统计理论 · 数学 2009-02-17 Gilles Blanchard , Etienne Roquain

We consider the problem of variable selection in high-dimensional statistical models where the goal is to report a set of variables, out of many predictors $X_1, \dotsc, X_p$, that are relevant to a response of interest. For linear…

统计方法学 · 统计学 2019-03-20 Adel Javanmard , Hamid Javadi

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

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…

统计方法学 · 统计学 2025-10-02 Marco Molinari , Magne Thoresen

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