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Clinicians and scientists have traditionally focussed on whether their findings will be replicated and are very familiar with the concept. The probability that a replication study yields an effect with the same sign, or the same statistical…

应用统计 · 统计学 2025-12-17 Huw Llewelyn

Multiple tests are designed to test a whole collection of null hypotheses simultaneously. Their quality is often judged by the false discovery rate (FDR), i.e. the expectation of the quotient of the number of false rejections divided by the…

统计理论 · 数学 2015-11-24 Julia Benditkis , Philipp Heesen , Arnold Janssen

This paper is a review of the popular Benjamini Hochberg Method and other related useful methods of Multiple Hypothesis testing. This is written with the purpose of serving a short but complete easy to understand review of the main article…

统计方法学 · 统计学 2014-06-30 Anish Acharya

In clinical studies upon which decisions are based there are two types of errors that can be made: a type I error arises when the decision is taken to declare a positive outcome when the truth is in fact negative, and a type II error arises…

统计方法学 · 统计学 2024-09-19 Andrew P Grieve

Ascertaining the feasibility of independent falsification or repetition of published results is vital to the scientific process, and replication or reproduction experiments are routinely performed in many disciplines. Unfortunately, such…

数据库 · 计算机科学 2020-09-11 Dimitri Braininger , Wolfgang Mauerer , Stefanie Scherzinger

Public data repositories have enabled researchers to compare results across multiple genomic studies in order to replicate findings. A common approach is to first rank genes according to an hypothesis of interest within each study. Then,…

应用统计 · 统计学 2012-06-29 Loki Natarajan , Minya Pu , Karen Messer

Replicability is central to scientific progress, and the partial conjunction (PC) hypothesis testing framework provides an objective tool to quantify it across disciplines. Existing PC methods assume independent studies. Yet many modern…

统计方法学 · 统计学 2025-12-30 Monitirtha Dey , Trambak Banerjee , Prajamitra Bhuyan , Arunabha Majumdar

In many large multiple testing problems the hypotheses are divided into families. Given the data, families with evidence for true discoveries are selected, and hypotheses within them are tested. Neither controlling the error-rate in each…

统计理论 · 数学 2011-06-21 Yoav Benjamini , Marina Bogomolov

Replication studies are increasingly conducted to assess the credibility of scientific findings. Most of these replication attempts target studies with a superiority design, but there is a lack of methodology regarding the analysis of…

统计方法学 · 统计学 2024-12-13 Charlotte Micheloud , Leonhard Held

We introduce a multiple testing procedure that controls the median of the proportion of false discoveries (FDP) in a flexible way. The procedure only requires a vector of p-values as input and is comparable to the Benjamini-Hochberg method,…

统计方法学 · 统计学 2024-03-14 Jesse Hemerik , Aldo Solari , Jelle J Goeman

CONTEXT: There is growing interest in establishing software engineering as an evidence-based discipline. To that end, replication is often used to gain confidence in empirical findings, as opposed to reproduction where the goal is showing…

软件工程 · 计算机科学 2018-02-14 Martin Shepperd

We study a statistical framework for replicability based on a recently proposed quantitative measure of replication success, the sceptical $p$-value. A recalibration is proposed to obtain exact overall Type-I error control if the effect is…

统计方法学 · 统计学 2023-11-10 Charlotte Micheloud , Fadoua Balabdaoui , Leonhard Held

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

We analyze different types of simulations that applied researchers can use to assess whether their inference methods reliably control false-positive rates. We show that different assessments involve trade-offs, varying in the types of…

计量经济学 · 经济学 2025-10-03 Bruno Ferman

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…

统计方法学 · 统计学 2026-02-23 Seohwa Hwang , Mark Louie Ramos , DoHwan Park , Junyong Park , Johan Lim , Erin Green

An ongoing "reproducibility crisis" calls into question scientific discoveries across a variety of disciplines ranging from life to social sciences. Replication studies aim to investigate the validity of findings in published research, and…

应用统计 · 统计学 2023-05-09 Konstantinos Bourazas , Guido Consonni , Laura Deldossi

Large-scale multiple testing is a fundamental problem in high dimensional statistical inference. It is increasingly common that various types of auxiliary information, reflecting the structural relationship among the hypotheses, are…

统计方法学 · 统计学 2021-10-07 Hongyuan Cao , Jun Chen , Xianyang Zhang

Multi-parameter one-sided hypothesis test problems arise naturally in many applications. We are particularly interested in effective tests for monitoring multiple quality indices in forestry products. Our search reveals that there are many…

统计理论 · 数学 2017-03-16 Guangyu Zhu , Jiahua Chen

We propose a general and flexible procedure for testing multiple hypotheses about sequential (or streaming) data that simultaneously controls both the false discovery rate (FDR) and false nondiscovery rate (FNR) under minimal assumptions…

统计方法学 · 统计学 2019-01-14 Jay Bartroff , Jinlin Song

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…

统计方法学 · 统计学 2010-12-21 Xu Han , Weijie Gu , Jianqing Fan