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Some effort has been undertaken over the last decade to provide conditions for the control of the false discovery rate by the linear step-up procedure (LSU) for testing $n$ hypotheses when test statistics are dependent. In this paper we…

Statistics Theory · Mathematics 2007-10-18 Helmut Finner , Thorsten Dickhaus , Markus Roters

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…

Methodology · Statistics 2013-02-12 Max Grazier G'Sell , Trevor Hastie , Robert Tibshirani

The increasing prevalence and utility of large, public databases necessitates the development of appropriate methods for controlling false discovery. Motivated by this challenge, we discuss the generic problem of testing a possibly infinite…

Methodology · Statistics 2013-07-03 Ehud Aharoni , Saharon Rosset

Much effort has been made to improve the famous step up test of Benjamini and Hochberg given by linear critical values $\frac{i\alpha}{n}$. It is pointed out by Gavrilov, Benjamini and Sarkar that step down multiple tests based on the…

Statistics Theory · Mathematics 2016-08-10 Julia Benditkis , Arnold Janssen

Thanks to its fine balance between model flexibility and interpretability, the nonparametric additive model has been widely used, and variable selection for this type of model has been frequently studied. However, none of the existing…

Methodology · Statistics 2022-01-10 Xiaowu Dai , Xiang Lyu , Lexin Li

This work studies distributed multiple testing with false discovery rate (FDR) control in the presence of Byzantine attacks, where an adversary captures a fraction of the nodes and corrupts their reported p-values. We focus on two baseline…

Signal Processing · Electrical Eng. & Systems 2025-04-28 Daofu Zhang , Mehrdad Pournaderi , Yu Xiang , Pramod Varshney

Most link prediction methods return estimates of the connection probability of missing edges in a graph. Such output can be used to rank the missing edges from most to least likely to be a true edge, but does not directly provide a…

Methodology · Statistics 2024-03-26 Ariane Marandon

We propose a new empirical Bayes method for covariate-assisted multiple testing with false discovery rate (FDR) control, where we model the local false discovery rate for each hypothesis as a function of both its covariates and p-value. Our…

Methodology · Statistics 2021-07-01 Patrick Chao , William Fithian

Multiple hypothesis testing often involves composite nulls, i.e., nulls that are associated with two or more distributions. In many cases, it is reasonable to assume that there is a prior distribution on the distributions despite it is…

Statistics Theory · Mathematics 2008-07-31 Zhiyi Chi

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…

Astrophysics · Physics 2009-11-07 A. M. Hopkins , C. J. Miller , A. J. Connolly , C. Genovese , R. C. Nichol , L. Wasserman

We consider problems where many, somewhat redundant, hypotheses are tested and we are interested in reporting the most precise rejections, with false discovery rate (FDR) control. This is the case, for example, when researchers are…

Methodology · Statistics 2024-04-23 Paula Gablenz , Chiara Sabatti

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…

Statistics Theory · Mathematics 2008-05-21 Zhiyi Chi

The popularity of penalized regression in high-dimensional data analysis has led to a demand for new inferential tools for these models. False discovery rate control is widely used in high-dimensional hypothesis testing, but has only…

Methodology · Statistics 2019-01-24 Ryan Miller , Patrick Breheny

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…

Methodology · Statistics 2020-12-17 Chenguang Dai , Buyu Lin , Xin Xing , Jun S. Liu

We propose new methods to obtain simultaneous false discovery proportion bounds for knockoff-based approaches. We first investigate an approach based on Janson and Su's $k$-familywise error rate control method and interpolation. We then…

Methodology · Statistics 2024-02-27 Jinzhou Li , Marloes H. Maathuis , Jelle J. Goeman

Although there is a huge literature on feature selection for the Cox model, none of the existing approaches can control the false discovery rate (FDR) unless the sample size tends to infinity. In addition, there is no formal power analysis…

Methodology · Statistics 2023-08-02 Daoji Li , Jinzhao Yu , Hui Zhao

In many scientific applications, hypotheses are generated and tested continuously in a stream. We develop a framework for improving online multiple testing procedures with false discovery rate (FDR) control under arbitrary dependence. Our…

Methodology · Statistics 2026-03-27 Ziyu Xu , Lasse Fischer , Aaditya Ramdas

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…

Methodology · Statistics 2026-01-22 Luke Hagar , Nathaniel T. Stevens

When simultaneously testing multiple hypotheses, the usual approach in the context of confirmatory clinical trials is to control the familywise error rate (FWER), which bounds the probability of making at least one false rejection. In many…

Methodology · Statistics 2021-05-20 David S. Robertson , James M. S. Wason , Frank Bretz

The problem of selecting a handful of truly relevant variables in supervised machine learning algorithms is a challenging problem in terms of untestable assumptions that must hold and unavailability of theoretical assurances that selection…

Methodology · Statistics 2023-11-10 Mehdi Rostami , Olli Saarela