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When testing multiple hypotheses, a suitable error rate should be controlled even in exploratory trials. Conventional methods to control the False Discovery Rate (FDR) assume that all p-values are available at the time point of test…

统计方法学 · 统计学 2021-12-21 Sonja Zehetmayer , Martin Posch , Franz Koenig

We consider the problem of asynchronous online testing, aimed at providing control of the false discovery rate (FDR) during a continual stream of data collection and testing, where each test may be a sequential test that can start and stop…

统计方法学 · 统计学 2020-08-25 Tijana Zrnic , Aaditya Ramdas , Michael I. Jordan

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

Multiple testing literature contains ample research on controlling false discoveries for hypotheses classified according to one criterion, which we refer to as one-way classified hypotheses. Although simultaneous classification of…

统计方法学 · 统计学 2019-03-12 Shinjini Nandi , Sanat K. Sarkar

A scientist tests a continuous stream of hypotheses over time in the course of her investigation -- she does not test a predetermined, fixed number of hypotheses. The scientist wishes to make as many discoveries as possible while ensuring…

统计方法学 · 统计学 2023-11-14 Ziyu Xu , Aaditya Ramdas

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

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

Controlling the false discovery rate (FDR) in high-dimensional variable selection requires balancing rigorous error control with statistical power. Existing methods with provable guarantees are often overly conservative, creating a…

统计方法学 · 统计学 2026-02-06 Arnau Vilella , Jasin Machkour , Michael Muma , Daniel P. Palomar

False discovery rate (FDR) is a cornerstone of modern multiple testing. However, it often fails to guarantee the reliability of "marginal" discoveries that lie at the boundary of the rejection set, which are often crucial in high-precision…

统计方法学 · 统计学 2026-05-12 Yifan Zhang , Wentao Zhang , Changliang Zou , Haojie Ren

We develop a new class of distribution--free multiple testing rules for false discovery rate (FDR) control under general dependence. A key element in our proposal is a symmetrized data aggregation (SDA) approach to incorporating the…

统计方法学 · 统计学 2021-05-27 Lilun Du , Xu Guo , Wenguang Sun , Changliang Zou

In multiple hypothesis testing, it is well known that adaptive procedures can enhance power via incorporating information about the number of true nulls present. Under independence, we establish that two adaptive false discovery rate (FDR)…

统计方法学 · 统计学 2024-01-25 Dennis Leung , Ninh Tran

We derive new algorithms for online multiple testing that provably control false discovery exceedance (FDX) while achieving orders of magnitude more power than previous methods. This statistical advance is enabled by the development of new…

统计方法学 · 统计学 2021-06-03 Ziyu Xu , Aaditya Ramdas

This article proposes novel rules for false discovery rate control (FDRC) geared towards online anomaly detection in time series. Online FDRC rules allow to control the properties of a sequence of statistical tests. In the context of…

机器学习 · 统计学 2021-12-07 Quentin Rebjock , Barış Kurt , Tim Januschowski , Laurent Callot

Controlling the false discovery rate (FDR) is a powerful approach to multiple testing. In many applications, the tested hypotheses have an inherent hierarchical structure. In this paper, we focus on the fixed sequence structure where the…

统计方法学 · 统计学 2016-11-11 Gavin Lynch , Wenge Guo , Sanat K. Sarkar , Helmut Finner

We propose a unified framework to enhance the power of online multiple hypothesis testing procedures based on $e$-values. While $e$-value-based methods offer robust online False Discovery Rate (FDR) control under minimal assumptions, they…

统计方法学 · 统计学 2026-01-29 Qi Kuang , Bowen Gang , Yin Xia

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

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…

统计方法学 · 统计学 2026-03-27 Ziyu Xu , Lasse Fischer , Aaditya Ramdas

Motivation: While the analysis of a single RNA sequencing (RNAseq) dataset has been well described in the literature, modern research workflows often have additional complexity in that related RNAseq experiments are performed sequentially…

定量方法 · 定量生物学 2022-06-07 Lathan Liou , Milena Hornburg , David S. Robertson

The false discovery rate (FDR)---the expected fraction of spurious discoveries among all the discoveries---provides a popular statistical assessment of the reproducibility of scientific studies in various disciplines. In this work, we…

机器学习 · 统计学 2015-11-10 Weijie Su , Junyang Qian , Linxi Liu

In multiple testing problems, where a large number of hypotheses are tested simultaneously, false discovery rate (FDR) control can be achieved with the well-known Benjamini-Hochberg procedure, which adapts to the amount of signal present in…

统计方法学 · 统计学 2017-09-14 Ang Li , Rina Foygel Barber