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The False Discovery Rate (FDR) method has recently been described by Miller et al (2001), along with several examples of astrophysical applications. FDR is a new statistical procedure due to Benjamini and Hochberg (1995) for controlling the…

天体物理学 · 物理学 2009-11-07 A. M. Hopkins , C. J. Miller , A. J. Connolly , C. Genovese , R. C. Nichol , L. Wasserman

The introduction of the false discovery rate (FDR) by Benjamini and Hochberg has spurred a great interest in developing methodologies to control the FDR in various settings. The majority of existing approaches, however, address the FDR…

统计方法学 · 统计学 2016-06-09 Kasra Alishahi , Ahmad Reza Ehyaei , Ali Shojaie

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

Efforts to develop more efficient multiple hypothesis testing procedures for false discovery rate (FDR) control have focused on incorporating an estimate of the proportion of true null hypotheses (such procedures are called adaptive) or…

统计方法学 · 统计学 2017-02-13 Joshua D. Habiger

We consider statistical hypothesis testing simultaneously over a fairly general, possibly uncountably infinite, set of null hypotheses, under the assumption that a suitable single test (and corresponding $p$-value) is known for each…

统计方法学 · 统计学 2014-02-10 Gilles Blanchard , Sylvain Delattre , Etienne Roquain

We are considered with the false discovery rate (FDR) of the linear step-up test $\varphi^{LSU}$ considered by Benjamini and Hochberg (1995). It is well known that $\varphi^{LSU}$ controls the FDR at level $m_0 q / m$ if the joint…

统计理论 · 数学 2013-12-02 Taras Bodnar , Thorsten Dickhaus

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…

统计理论 · 数学 2021-07-06 Cynthia Dwork , Weijie J. Su , Li Zhang

This paper explores the intrinsic connections between the Bayesian false discovery rate (FDR) control procedures and their counterpart of frequentist procedures. We attempt to offer a unified view of FDR control within and beyond the…

统计方法学 · 统计学 2018-03-15 Xiaoquan Wen

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

The false discovery rate (FDR) and false nondiscovery rate (FNDR) have received considerable attention in the literature on multiple testing. These performance measures are also appropriate for classification, and in this work we develop…

统计理论 · 数学 2009-01-28 Clayton Scott , Gowtham Bellala , Rebecca Willett

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

For multiple testing based on p-values with c\`{a}dl\`{a}g distribution functions, we propose an FDR procedure "BH+" with proven conservativeness. BH+ is at least as powerful as the BH procedure when they are applied to super-uniform…

统计方法学 · 统计学 2020-03-09 Xiongzhi Chen

Signal identification in large-dimensional settings is a challenging problem in biostatistics. Recently, the method of higher criticism (HC) was shown to be an effective means for determining appropriate decision thresholds. Here, we study…

统计方法学 · 统计学 2012-12-21 Bernd Klaus , Korbinian Strimmer

The local false discovery rate (lfdr) of Efron et al. (2001) enjoys major conceptual and decision-theoretic advantages over the false discovery rate (FDR) as an error criterion in multiple testing, but is only well-defined in Bayesian…

统计理论 · 数学 2025-02-25 Daniel Xiang , Jake A. Soloff , William Fithian

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

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.…

机器学习 · 统计学 2026-02-10 Kazuma Sawaya

Motivation: In microarray analysis, special consideration must be given to the issues of multiple statistical tests and typically p-values are adjusted to control family-wise error rate (FWER) or false discovery rate (FDR). FDR metrics have…

定量方法 · 定量生物学 2007-05-23 Rishi L. Khan , Rajanikanth Vadigepalli , Guang Gao , James S. Schwaber

False discovery rate (FDR) is a commonly used criterion in multiple testing and the Benjamini-Hochberg (BH) procedure is arguably the most popular approach with FDR guarantee. To improve power, the adaptive BH procedure has been proposed by…

统计方法学 · 统计学 2023-10-11 Zijun Gao

Variable selection has been widely used in data analysis for the past decades, and it becomes increasingly important in the Big Data era as there are usually hundreds of variables available in a dataset. To enhance interpretability of a…

统计方法学 · 统计学 2020-08-17 Yuxiang Xie , Kwun Chuen Gary Chan

Identifying areas where the signal is prominent is an important task in image analysis, with particular applications in brain mapping. In this work, we develop confidence regions for spatial excursion sets above and below a given level. We…

统计方法学 · 统计学 2025-04-18 Howon Ryu , Thomas Maullin-Sapey , Armin Schwartzman , Samuel Davenport