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Null Hypothesis Significance Testing is the \textit{de facto} tool for assessing effectiveness differences between Information Retrieval systems. Researchers use statistical tests to check whether those differences will generalise to online…

Information Retrieval · Computer Science 2025-07-23 David Otero , Javier Parapar , Álvaro Barreiro

It is now widely accepted that the standard inferential toolkit used by the scientific research community -- null-hypothesis significance testing (NHST) -- is not fit for purpose. Yet despite the threat posed to the scientific enterprise,…

Methodology · Statistics 2023-11-10 Leonhard Held , Robert Matthews , Manuela Ott , Samuel Pawel

Statistical inference has undergone a profound transformation over the past decade, evolving from a significance-testing paradigm toward a comprehensive, transparency-driven framework embedded within the broader open science ecosystem.…

Methodology · Statistics 2026-04-07 Aswini Kumar Patra

RECAST is an analysis reinterpretation framework; since analyses are often sensitive to a range of models, RECAST can be used to constrain the plethora of theoretical models without the significant investment required for a new analysis.…

Data Analysis, Statistics and Probability · Physics 2019-10-24 Alex Schuy , Lukas Heinrich , Kyle Cranmer , Shih-Chieh Hsu

The Full Bayesian Significance Test (FBST) for precise hypotheses was presented by Pereira and Stern (1999) as a Bayesian alternative instead of the traditional significance test based on p-value. The FBST uses the evidence in favor of the…

Methodology · Statistics 2018-08-31 Alejandra Estefanía Patiño Hoyos , Victor Fossaluza

A/B testing is one of the most successful applications of statistical theory in modern Internet age. One problem of Null Hypothesis Statistical Testing (NHST), the backbone of A/B testing methodology, is that experimenters are not allowed…

Applications · Statistics 2016-02-18 Alex Deng , Jiannan Lu , Shouyuan Chen

A popular approach to significance testing proposes to decide whether the given hypothesized statistical model is likely to be true (or false). Statistical decision theory provides a basis for this approach by requiring every significance…

Methodology · Statistics 2013-01-08 William Perkins , Mark Tygert , Rachel Ward

Null Hypothesis Statistical Testing is a dominant framework for conducting statistical analysis across the sciences. There remains considerable debate as to whether, and under what circumstances, evidence can be said to be confirmatory of a…

Statistics Theory · Mathematics 2024-05-28 Reid Dale

Heteroskedasticity poses several methodological challenges in designing valid and powerful procedures for simultaneous testing of composite null hypotheses. In particular, the conventional practice of standardizing or re-scaling…

Methodology · Statistics 2025-09-04 Bowen Gang , Trambak Banerjee

The logical and practical difficulties associated with research interpretation using P values and null hypothesis significance testing have been extensively documented. This paper describes an alternative, likelihood-based approach to…

Methodology · Statistics 2021-09-21 Nicholas Adams , Gerard O'Reilly

This paper places conformal testing in a general framework of statistical hypothesis testing. A standard approach to testing a composite null hypothesis $H$ is to test each of its elements and to reject $H$ when each of its elements is…

Statistics Theory · Mathematics 2024-02-13 Vladimir Vovk

The controversy about statistical significance vs. scientific relevance is more than 100 years old. But still nowadays null hypothesis significance testing is considered as gold standard in many empirical fields from economics and social…

Applications · Statistics 2022-11-23 Uwe Hassler

What can be considered an appropriate statistical method for the primary analysis of a randomized clinical trial (RCT) with a time-to-event endpoint when we anticipate non-proportional hazards owing to a delayed effect? This question has…

Methodology · Statistics 2023-04-18 José L. Jiménez , Isobel Barrott , Francesca Gasperoni , Dominic Magirr

Accurate heterogeneous treatment effect (HTE) estimation is essential for personalized recommendations, making it important to evaluate and compare HTE estimators. Traditional assessment methods are inapplicable due to missing…

Methodology · Statistics 2024-12-30 Zijun Gao

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

Researchers often misinterpret and misrepresent statistical outputs. This abuse has led to a large literature on modification or replacement of testing thresholds and $P$-values with confidence intervals, Bayes factors, and other devices.…

Methodology · Statistics 2020-10-02 Zad Rafi , Sander Greenland

A simple test is proposed for examining the correctness of a given completely specified response function against unspecified general alternatives in the context of univariate regression. The usual diagnostic tools based on residuals plots…

Methodology · Statistics 2010-04-27 Jean-Baptiste Aubin , Samuela Leoni-Aubin

In a recent opinion article, Muff et al. recapitulate well-known objections to the Neyman-Pearson Null-Hypothesis Significance Testing (NHST) framework and call for reforming our practices in statistical reporting. We agree with them on…

Quantitative Methods · Quantitative Biology 2022-05-30 Florian Hartig , Frédéric Barraquand

Most of the literature on change-point analysis by means of hypothesis testing considers hypotheses of the form H0 : \theta_1 = \theta_2 vs. H1 : \theta_1 != \theta_2, where \theta_1 and \theta_2 denote parameters of the process before and…

Methodology · Statistics 2016-11-26 Holger Dette , Dominik Wied

In cell biology, statistical analysis means testing the hypothesis that there was no effect. This weak form of hypothesis testing neglects effect size, is universally misinterpreted, and is disastrously prone to error when combined with…

Other Quantitative Biology · Quantitative Biology 2025-05-13 Josh L. Morgan