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Many multiple testing procedures make use of the p-values from the individual pairs of hypothesis tests, and are valid if the p-value statistics are independent and uniformly distributed under the null hypotheses. However, it has recently…

Methodology · Statistics 2011-08-25 Joshua D. Habiger , Edsel A. Pena

P-hacking poses challenges to traditional hypothesis testing. In this paper, we propose a robust method for the one-sample significance test that can protect against p-hacking from sample manipulation. Precisely, assuming a sequential…

Statistics Theory · Mathematics 2025-02-18 Xifeng Li , Shuzhen Yang , Jianfeng Yao

In order to determine whether or not an effect is absent based on a statistical test, the recommended frequentist tool is the equivalence test. Typically, it is expected that an appropriate equivalence margin has been specified before any…

Methodology · Statistics 2021-02-24 Harlan Campbell , Paul Gustafson

This paper proposes a new class of nonparametric tests for the correct specification of models based on conditional moment restrictions, paying particular attention to generalized propensity score models. The test procedure is based on two…

Econometrics · Economics 2023-04-18 Pedro H. C. Sant'Anna , Xiaojun Song

Data analysis in science, e.g., high-energy particle physics, is often subject to an intractable likelihood if the observables and observations span a high-dimensional input space. Typically the problem is solved by reducing the…

Data Analysis, Statistics and Probability · Physics 2021-01-14 Stefan Wunsch , Simon Jörger , Roger Wolf , Günter Quast

We are concerned with testing replicability hypotheses for many endpoints simultaneously. This constitutes a multiple test problem with composite null hypotheses. Traditional $p$-values, which are computed under least favourable parameter…

Methodology · Statistics 2020-02-26 Anh-Tuan Hoang , Thorsten Dickhaus

Parametric hypothesis testing associated with two independent samples arises frequently in several applications in biology, medical sciences, epidemiology, reliability and many more. In this paper, we propose robust Wald-type tests for…

Methodology · Statistics 2019-05-09 Abhik Ghosh , Nirian Martin , Ayanendranath Basu , Leandro Pardo

We aim to create the highest possible quality of treatment-control matches for categorical data in the potential outcomes framework. Matching methods are heavily used in the social sciences due to their interpretability, but most matching…

Machine Learning · Statistics 2019-06-11 Yameng Liu , Aw Dieng , Sudeepa Roy , Cynthia Rudin , Alexander Volfovsky

Consider a binary statistical hypothesis testing problem, where $n$ independent and identically distributed random variables $Z^n$ are either distributed according to the null hypothesis $P$ or the alternative hypothesis $Q$, and only $P$…

Information Theory · Computer Science 2024-04-15 K. V. Harsha , Jithin Ravi , Tobias Koch

Algorithms for computing equilibria, optima, and fixed points in nonconvex problems often depend sensitively on practitioner-chosen initial conditions. When uniqueness of a solution is of interest, a common heuristic is to run such…

Econometrics · Economics 2026-02-17 Moeen Nehzati , Diego Cussen

Asymptotic methods for hypothesis testing in high-dimensional data usually require the dimension of the observations to increase to infinity, often with an additional relationship between the dimension (say, $p$) and the sample size (say,…

Methodology · Statistics 2025-12-11 Ritabrata Karmakar , Joydeep Chowdhury , Subhajit Dutta , Marc G. Genton

The partial conjunction null hypothesis is tested in order to discover a signal that is present in multiple studies. The standard approach of carrying out a multiple test procedure on the partial conjunction (PC) $p$-values can be extremely…

Methodology · Statistics 2024-06-14 Thorsten Dickhaus , Ruth Heller , Anh-Tuan Hoang , Yosef Rinott

We study a large-scale one-sided multiple testing problem in which test statistics follow normal distributions with unit variance, and the goal is to identify signals with positive mean effects. A conventional approach is to compute…

Methodology · Statistics 2026-05-15 Kwangok Seo , Johan Lim , Hyungwon Choi , Jaesik Jeong

The problem of detecting anomalies in multiple processes is considered. We consider a composite hypothesis case, in which the measurements drawn when observing a process follow a common distribution with an unknown parameter (vector), whose…

Information Theory · Computer Science 2020-04-22 Bar Hemo , Tomer Gafni , Kobi Cohen , Qing Zhao

This paper develops a two-stage method for inference on partially identified parameters in moment inequality models with separable nuisance parameters. In the first stage, the nuisance parameters are estimated separately, and in the second…

Econometrics · Economics 2025-08-28 Xunkang Tian

We derive inferential procedures for large sample sizes that remain valid under data-dependent significance levels (so-called "post-hoc valid inference"). Classical statistical tools require that the significance level -- the "type-I error"…

Statistics Theory · Mathematics 2026-03-10 Ben Chugg , Etienne Gauthier , Michael I. Jordan , Aaditya Ramdas , Ian Waudby-Smith

In hypothesis testing with quantum states, given a black box containing one of the two possible states, measurement is performed to detect in favor of one of the hypotheses. In postselected hypothesis testing, a third outcome is added,…

Quantum Physics · Physics 2026-01-16 Saurabh Kumar Gupta , Abhishek K. Gupta

Hypothesis testing in the linear regression model is a fundamental statistical problem. We consider linear regression in the high-dimensional regime where the number of parameters exceeds the number of samples ($p> n$). In order to make…

Statistics Theory · Mathematics 2019-09-24 Adel Javanmard , Jason D. Lee

In this work, we revisit the one- and two-sample testing problems: binary hypothesis testing in which one or both distributions are unknown. For the one-sample test, we provide a more streamlined proof of the asymptotic optimality of…

Information Theory · Computer Science 2026-04-21 Arick Grootveld , Biao Chen , Venkata Gandikota

This paper proposes a new test for inequalities that are linear in possibly partially identified nuisance parameters. This type of hypothesis arises in a broad set of problems, including subvector inference for linear unconditional moment…

Methodology · Statistics 2025-11-06 Gregory Fletcher Cox , Xiaoxia Shi , Yuya Shimizu