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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

Many statistical problems involve data from thousands of parallel cases. Each case has some associated effect size, and most cases will have no effect. It is often important to estimate the effect size and the local or tail-area false…

应用统计 · 统计学 2010-10-08 Omkar Muralidharan

Multiple hypothesis testing has been widely applied to problems dealing with high-dimensional data, e.g., selecting significant variables and controlling the selection error rate. The most prevailing measure of error rate used in the…

统计方法学 · 统计学 2022-06-07 Xiaoya Sun , Yan Fu

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

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

Analyzing large-scale, multi-experiment studies requires scientists to test each experimental outcome for statistical significance and then assess the results as a whole. We present Black Box FDR (BB-FDR), an empirical-Bayes method for…

机器学习 · 统计学 2018-06-11 Wesley Tansey , Yixin Wang , David M. Blei , Raul Rabadan

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

Controlling the false discovery rate (FDR) is a critical challenge in large-scale data analysis, particularly in the presence of outliers. A common practice involves imposing a Student-$t$ distribution to eliminate the influence of…

统计方法学 · 统计学 2026-04-01 Yoshiko Hayashi

A new online multiple testing procedure is described in the context of anomaly detection, which controls the False Discovery Rate (FDR). An accurate anomaly detector must control the false positive rate at a prescribed level while keeping…

统计方法学 · 统计学 2024-12-17 Etienne Krönert , Alain Célisse , Dalila Hattab

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

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

Out of the participants in a randomized experiment with anticipated heterogeneous treatment effects, is it possible to identify which subjects have a positive treatment effect? While subgroup analysis has received attention, claims about…

统计方法学 · 统计学 2024-05-14 Boyan Duan , Larry Wasserman , Aaditya Ramdas

The traditional approaches to false discovery rate (FDR) control in multiple hypothesis testing are usually based on the null distribution of a test statistic. However, all types of null distributions, including the theoretical,…

统计方法学 · 统计学 2021-04-13 Kun He , Mengjie Li , Yan Fu , Fuzhou Gong , Xiaoming Sun

Motivated by the genomic application of expression quantitative trait loci (eQTL) mapping, we propose a new procedure to perform simultaneous testing of multiple hypotheses using Bayes factors as input test statistics. One of the most…

统计方法学 · 统计学 2016-06-09 Xiaoquan Wen

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

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

Algorithms that ensure reproducible findings from large-scale, high-dimensional data are pivotal in numerous signal processing applications. In recent years, multivariate false discovery rate (FDR) controlling methods have emerged,…

统计方法学 · 统计学 2024-01-31 Jasin Machkour , Michael Muma , Daniel P. Palomar

False discovery rates (FDR) are an essential component of statistical inference, representing the propensity for an observed result to be mistaken. FDR estimates should accompany observed results to help the user contextualize the relevance…

统计方法学 · 统计学 2020-10-12 Megan Hollister Murray , Jeffrey D. Blume

We present false discovery rate smoothing, an empirical-Bayes method for exploiting spatial structure in large multiple-testing problems. FDR smoothing automatically finds spatially localized regions of significant test statistics. It then…

统计方法学 · 统计学 2016-11-15 Wesley Tansey , Oluwasanmi Koyejo , Russell A. Poldrack , James G. Scott

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