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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

False discovery rates (FDR) are typically estimated from a mixture of a null and an alternative distribution. Here, we study a complementary approach proposed by Rice and Spiegelhalter (2008) that uses as primary quantities the null model…

统计方法学 · 统计学 2011-08-03 Bernd Klaus , Korbinian Strimmer

As datasets grow richer, an important challenge is to leverage the full features in the data to maximize the number of useful discoveries while controlling for false positives. We address this problem in the context of multiple hypotheses…

统计方法学 · 统计学 2017-11-21 Fei Xia , Martin J. Zhang , James Zou , David Tse

This paper explores the multiple testing problem for sparse high-dimensional data with binary outcomes. We propose novel empirical Bayes multiple testing procedures based on a spike-and-slab posterior and then evaluate their performance in…

统计理论 · 数学 2025-06-16 Yu-Chien Bo Ning

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

Efron's two-group model is widely used in large scale multiple testing. This model assumes that test statistics are mutually independent, however in realistic settings they are typically dependent, and taking the dependence into account can…

统计方法学 · 统计学 2022-12-20 Rajesh Karmakar , Ruth Heller , Saharon Rosset

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

In the multiple testing problem with independent tests, the classical linear step-up procedure controls the false discovery rate (FDR) at level $\pi_0\alpha$, where $\pi_0$ is the proportion of true null hypotheses and $\alpha$ is the…

统计方法学 · 统计学 2019-08-29 Peter MacDonald , Kun Liang , Arnold Janssen

Online testing procedures aim to control the extent of false discoveries over a sequence of hypothesis tests, allowing for the possibility that early-stage test results influence the choice of hypotheses to be tested in later stages.…

统计方法学 · 统计学 2021-10-18 Aaron Fisher

When testing many hypotheses, often we do not have strong expectations about the directions of the effects. In some situations however, the alternative hypotheses are that the parameters lie in a certain direction or interval, and it is in…

统计方法学 · 统计学 2026-03-02 Jesse Hemerik

Large-scale hypothesis testing is central to modern science, where controlling the False Discovery Rate (FDR) has become the standard approach to managing false positives across many simultaneous tests. Hypotheses rarely exist in isolation;…

统计方法学 · 统计学 2026-05-19 Binyamin Perets , Shie Mannor

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

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

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

Businesses frequently run online controlled experiments (i.e., A/B tests) to learn about the effect of an intervention on multiple business metrics. To account for multiple hypothesis testing, multiple metrics are commonly aggregated into a…

统计方法学 · 统计学 2026-01-22 Luke Hagar , Nathaniel T. Stevens

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…

统计方法学 · 统计学 2020-07-03 Chenguang Dai , Buyu Lin , Xin Xing , Jun S. Liu

The most popular multiple testing procedures are stepwise procedures based on $P$-values for individual test statistics. Included among these are the false discovery rate (FDR) controlling procedures of Benjamini--Hochberg [J. Roy. Statist.…

统计理论 · 数学 2009-06-18 Arthur Cohen , Harold B. Sackrowitz , Minya Xu

Addressing the simultaneous identification of contributory variables while controlling the false discovery rate (FDR) in high-dimensional data is a crucial statistical challenge. In this paper, we propose a novel model-free variable…

统计方法学 · 统计学 2024-04-23 Yixin Han , Xu Guo , Changliang Zou

This paper studies the semi-supervised novelty detection problem where a set of "typical" measurements is available to the researcher. Motivated by recent advances in multiple testing and conformal inference, we propose AdaDetect, a…

统计方法学 · 统计学 2023-10-26 Ariane Marandon , Lihua Lei , David Mary , Etienne Roquain

Genome-wide association studies (GWAS) have led to the discovery of numerous single nucleotide polymorphisms (SNPs) associated with various phenotypes and complex diseases. However, the identified genetic variants do not fully explain the…

统计方法学 · 统计学 2025-07-09 Dayeon Jung , Yewon Kim , Junyong Park