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This paper discusses several p-value-free multiple hypothesis testing methods proposed in recent years and organizes them by introducing a unified framework termed competition test. Although existing competition tests are effective in…

Methodology · Statistics 2025-12-02 Mingzhou Deng , Yan Fu

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)…

Methodology · Statistics 2024-01-25 Dennis Leung , Ninh Tran

Adaptive multiple testing with covariates is an important research direction that has gained major attention in recent years. It has been widely recognized that leveraging side information provided by auxiliary covariates can improve the…

Methodology · Statistics 2022-10-04 Dennis Leung , Wenguang Sun

Understanding effect modification -- how treatment effects vary across subpopulations -- is practically important in observational studies, as it helps identify which subgroups are likely to benefit from a given treatment. In this paper, we…

Methodology · Statistics 2026-05-12 Yu Gui , Dylan S Small , Zhimei Ren

The mitigation of false positives is an important issue when conducting multiple hypothesis testing. The most popular paradigm for false positives mitigation in high-dimensional applications is via the control of the false discovery rate…

Methodology · Statistics 2018-07-17 Hien D. Nguyen , Yohan Yee , Geoffrey J. McLachlan , Jason P. Lerch

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…

Statistics Theory · Mathematics 2025-06-16 Yu-Chien Bo Ning

Controlling the False Discovery Rate (FDR) in a variable selection procedure is critical for reproducible discoveries, and it has been extensively studied in sparse linear models. However, it remains largely open in scenarios where the…

Methodology · Statistics 2023-11-16 Yang Cao , Xinwei Sun , Yuan Yao

In modern scientific experiments, we frequently encounter data that have large dimensions, and in some experiments, such high dimensional data arrive sequentially rather than full data being available all at a time. We develop multiple…

Methodology · Statistics 2023-06-09 Rahul Roy , Shyamal K. De , Subir Kumar Bhandari

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…

Methodology · Statistics 2023-10-26 Ariane Marandon , Lihua Lei , David Mary , Etienne Roquain

False discovery rate (FDR) controlling procedures provide important statistical guarantees for the replicability in signal identification based on multiple hypotheses testing. In many fields of study, FDR controlling procedures are used in…

Methodology · Statistics 2022-10-04 Ran Dai , Cheng Zheng

False discovery rate (FDR) control is a popular approach for maintaining the integrity of statistical analyses, especially in high-dimensional data settings, where multiple comparisons increase the risk of false positives. FDR control has…

Signal Processing · Electrical Eng. & Systems 2026-03-03 Fabian Scheidt , Jasin Machkour , Michael Muma

The estimation of functional networks through functional covariance and graphical models have recently attracted increasing attention in settings with high dimensional functional data, where the number of functional variables p is…

Statistics Theory · Mathematics 2024-09-05 Qin Fang , Qing Jiang , Xinghao Qiao

We consider the problem of multiple hypothesis testing with generic side information: for each hypothesis $H_i$ we observe both a p-value $p_i$ and some predictor $x_i$ encoding contextual information about the hypothesis. For large-scale…

Methodology · Statistics 2018-07-26 Lihua Lei , William Fithian

Multiple testing is a fundamental problem in high-dimensional statistical inference. Although many methods have been proposed to control false discoveries, it is still a challenging task when the tests are correlated to each other. To…

Statistics Theory · Mathematics 2022-07-06 Meng Mei , Yuan Jiang

In this paper, we present novel methodologies that incorporate auxiliary variables for multiple hypotheses testing related to the main point of interest while effectively controlling the false discovery rate. When dealing with multiple…

Methodology · Statistics 2026-02-23 Seohwa Hwang , Mark Louie Ramos , DoHwan Park , Junyong Park , Johan Lim , Erin Green

In many large scale multiple testing applications, the hypotheses often have a known graphical structure, such as gene ontology in gene expression data. Exploiting this graphical structure in multiple testing procedures can improve power as…

Methodology · Statistics 2018-12-04 Wenge Guo , Gavin Lynch , Joseph P. Romano

Replicability is a fundamental quality of scientific discoveries: we are interested in those signals that are detectable in different laboratories, study populations, across time etc. Unlike meta-analysis which accounts for experimental…

Methodology · Statistics 2021-11-19 Jingshu Wang , Lin Gui , Weijie J. Su , Chiara Sabatti , Art B. Owen

Multiple hypothesis testing is a fundamental problem in high dimensional inference, with wide applications in many scientific fields. In genome-wide association studies, tens of thousands of tests are performed simultaneously to find if any…

Methodology · Statistics 2010-12-21 Xu Han , Weijie Gu , Jianqing Fan

In this article, we propose a generalized weighted version of the well-known Benjamini-Hochberg (BH) procedure. The rigorous weighting scheme used by our method enables it to encode structural information from simultaneous multi-way…

Methodology · Statistics 2021-05-25 Shinjini Nandi , Sanat K. Sarkar

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,…

Methodology · Statistics 2024-01-31 Jasin Machkour , Michael Muma , Daniel P. Palomar