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We theoretically analyze the problem of testing for $p$-hacking based on distributions of $p$-values across multiple studies. We provide general results for when such distributions have testable restrictions (are non-increasing) under the…

Econometrics · Economics 2022-05-13 Graham Elliott , Nikolay Kudrin , Kaspar Wuthrich

In a multiple testing framework, we propose a method that identifies the interval with the highest estimated false discovery rate of P-values and rejects the corresponding null hypotheses. Unlike the Benjamini-Hochberg method, which does…

Statistics Theory · Mathematics 2018-08-03 Shiyun Chen , Andrew Ying , Ery Arias-Castro

Simultaneous statistical inference has been a cornerstone in the statistics methodology literature because of its fundamental theory and paramount applications. The mainstream multiple testing literature has traditionally considered two…

Statistics Theory · Mathematics 2025-03-21 Monitirtha Dey , Subir Kumar Bhandari

In many statistical problems the hypotheses are naturally divided into groups, and the investigators are interested to perform group-level inference, possibly along with inference on individual hypotheses. We consider the goal of…

Statistics Theory · Mathematics 2021-05-20 Marina Bogomolov

Consider two random variables contaminated by two unknown transformations. The aim of this paper is to test the equality of those transformations. Two cases are distinguished: first, the two random variables have known distributions.…

Methodology · Statistics 2011-11-01 Mohamed Boutahar , Denys Pommeret

We consider multiple testing means of many dependent Normal random variables that do not necessarily follow a joint Normal distribution. Under weak dependence, we show the uniform consistency of proportion estimators that are constructed as…

Methodology · Statistics 2022-05-09 Xiongzhi Chen

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…

Statistics Theory · Mathematics 2015-11-24 Julia Benditkis , Philipp Heesen , Arnold Janssen

Replicability analysis aims to identify the findings that replicated across independent studies that examine the same features. We provide powerful novel replicability analysis procedures for two studies for FWER and for FDR control on the…

Methodology · Statistics 2019-03-01 Marina Bogomolov , Ruth Heller

We study the problem of multiple hypothesis testing for multidimensional data when inter-correlations are present. The problem of multiple comparisons is common in many applications. When the data is multivariate and correlated, existing…

Statistics Theory · Mathematics 2015-06-02 Mahdis Azadbakhsh , Xin Gao , Hanna Jankowski

The problem of multiple hypothesis testing arises when there are more than one hypothesis to be tested simultaneously for statistical significance. This is a very common situation in many data mining applications. For instance, assessing…

Machine Learning · Statistics 2009-06-30 Sami Hanhijärvi , Kai Puolamäki , Gemma C. Garriga

We propose a novel finite-sample procedure for testing composite null hypotheses. Traditional likelihood ratio tests based on asymptotic $\chi^2$ approximations often exhibit substantial bias in small samples. Our procedure rejects the…

Methodology · Statistics 2026-01-07 Joonha Park , Ming Wang

Starting from the characterization of extreme-value copulas based on max-stability, large-sample tests of extreme-value dependence for multivariate copulas are studied. The two key ingredients of the proposed tests are the empirical copula…

Methodology · Statistics 2011-05-12 Ivan Kojadinovic , Johan Segers , Jun Yan

Statistical hypothesis tests typically use prespecified sample sizes, yet data often arrive sequentially. Interim analyses invalidate classical error guarantees, while existing sequential methods require rigid testing preschedules or incur…

Methodology · Statistics 2026-02-17 Chris Holmes , Stephen Walker

Empirical economic studies often involve multiple propositions or hypotheses, with researchers aiming to assess both the collective and individual evidence against these propositions or hypotheses. To rigorously assess this evidence,…

Econometrics · Economics 2024-08-26 Zeng-Hua Lu

Despite its common practice, statistical hypothesis testing presents challenges in interpretation. For instance, in the standard frequentist framework there is no control of the type II error. As a result, the non-rejection of the null…

Statistics Theory · Mathematics 2018-05-15 Victor Coscrato , Rafael Izbicki , Rafael Bassi Stern

In a recent simulation study, Goodman et al. (2019) compare several methods with regard to their type I and type II error rates in case of a thick null hypothesis that includes all values that are practically equivalent to the point null…

Methodology · Statistics 2022-06-07 Robin Tim Dreher , Leona Hoffmann , Arne Kramer-Sunderbrink , Peter Pütz , Robin Werner

In this paper we explore the behaviour of dependent test statistics for testing of multiple hypothesis . To keep simplicity, we have considered a mixture normal model with equicorrelated correlation set up. With a simple linear…

Statistics Theory · Mathematics 2020-01-09 Rahul Roy , Subir Kumar Bhandari

We are concerned with a situation in which we would like to test multiple hypotheses with tests whose p-values cannot be computed explicitly but can be approximated using Monte Carlo simulation. This scenario occurs widely in practice. We…

Methodology · Statistics 2018-10-17 Axel Gandy , Georg Hahn

Consider the multiple testing problem of testing k null hypotheses, where the unknown family of distributions is assumed to satisfy a certain monotonicity assumption. Attention is restricted to procedures that control the familywise error…

Statistics Theory · Mathematics 2007-06-13 E. L. Lehmann , Joseph P. Romano , Juliet Popper Shaffer

We consider statistical procedures for hypothesis testing of real valued functionals of matched pairs with missing values. In order to improve the accuracy of existing methods, we propose a novel multiplication combination procedure.…

Statistics Theory · Mathematics 2018-01-29 Lubna Amro , Frank Konietschke , Markus Pauly
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