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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

We propose sequential multiple testing procedures which control the false discover rate (FDR) or the positive false discovery rate (pFDR) under arbitrary dependence between the data streams. This is accomplished by "optimizing" an upper…

统计方法学 · 统计学 2024-11-27 Michael Hankin , Jay Bartroff

Controlling false discovery rate (FDR) while leveraging the side information of multiple hypothesis testing is an emerging research topic in modern data science. Existing methods rely on the test-level covariates while ignoring possible…

机器学习 · 统计学 2021-01-26 Lin Qiu , Nils Murrugarra-Llerena , Vítor Silva , Lin Lin , Vernon M. Chinchilli

The probability of false discovery proportion (FDP) exceeding $\gamma\in[0,1)$, defined as $\gamma$-FDP, has received much attention as a measure of false discoveries in multiple testing. Although this measure has received acceptance due to…

统计理论 · 数学 2014-06-03 Wenge Guo , Li He , Sanat K. Sarkar

While data-driven confounder selection requires careful consideration, it is frequently employed in observational studies. Widely recognized criteria for confounder selection include the minimal-set approach, which involves selecting…

统计方法学 · 统计学 2025-08-21 Kazuharu Harada , Masataka Taguri

Multiple hypothesis testing is a central topic in statistics, but despite abundant work on the false discovery rate (FDR) and the corresponding Type-II error concept known as the false non-discovery rate (FNR), a fine-grained understanding…

统计理论 · 数学 2017-05-17 Maxim Rabinovich , Aaditya Ramdas , Michael I. Jordan , Martin J. Wainwright

In many applications of multiple hypothesis testing where more than one false rejection can be tolerated, procedures controlling error rates measuring at least $k$ false rejections, instead of at least one, for some fixed $k\ge 1$ can…

统计理论 · 数学 2008-12-18 Sanat K. Sarkar

For a weighted false discovery rate (FDR) procedure for multiple testing the means of equicorrelated normal random variables, we provide an analytic, non-asymptotic, uniform FDR upper bound for its FDR. Two additional and related results…

统计理论 · 数学 2021-12-07 Faith Zhang , Xiongzhi Chen

Stability and reproducibility are essential considerations in various applications of statistical methods. False Discovery Rate (FDR) control methods are able to control false signals in scientific discoveries. However, many FDR control…

统计方法学 · 统计学 2025-12-22 Jiajun Sun , Zhanrui Cai , Wei Zhong

Multiple testing adjustments, such as the Benjamini and Hochberg (1995) step-up procedure for controlling the false discovery rate (FDR), are typically applied to families of tests that control significance level in the classical sense: for…

统计方法学 · 统计学 2025-05-19 Timothy B. Armstrong

False discovery rate (FDR) is a common way to control the number of false discoveries in multiple testing. There are a number of approaches available for controlling FDR. However, for functional test statistics, which are discretized into…

统计方法学 · 统计学 2024-12-03 Tomáš Mrkvička , Mari Myllymäki

Benjamini and Hochberg (1995) proposed the false discovery rate (FDR) as an alternative to the family-wise error rate in multiple testing problems, and proposed a procedure to control the FDR. For discrete data this procedure may be highly…

统计方法学 · 统计学 2014-01-28 Ruth Heller , Hadas Gur

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

As the volume and complexity of data continue to expand across various scientific disciplines, the need for robust methods to account for the multiplicity of comparisons has grown widespread. A popular measure of type 1 error rate in…

统计方法学 · 统计学 2024-11-19 Jianliang He , Bowen Gang , Luella Fu

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

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…

统计理论 · 数学 2008-05-21 Zhiyi Chi

We propose the use of a new false discovery rate (FDR) controlling procedure as a model selection penalized method, and compare its performance to that of other penalized methods over a wide range of realistic settings: nonorthogonal design…

应用统计 · 统计学 2009-05-19 Yoav Benjamini , Yulia Gavrilov

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

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

In this work we study an adaptive step-down procedure for testing $m$ hypotheses. It stems from the repeated use of the false discovery rate controlling the linear step-up procedure (sometimes called BH), and makes use of the critical…

统计理论 · 数学 2009-04-01 Yulia Gavrilov , Yoav Benjamini , Sanat K. Sarkar