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We discuss problems the null hypothesis significance testing (NHST) paradigm poses for replication and more broadly in the biomedical and social sciences as well as how these problems remain unresolved by proposals involving modified…

Methodology · Statistics 2021-07-21 Blakeley B. McShane , David Gal , Andrew Gelman , Christian Robert , Jennifer L. Tackett

Null hypothesis statistical significance testing (NHST) is the dominant approach for evaluating results from randomized controlled trials. Whereas NHST comes with long-run error rate guarantees, its main inferential tool -- the $p$-value --…

Methodology · Statistics 2022-06-10 František Bartoš , Samuel Pawel , Eric-Jan Wagenmakers

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

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

Hypothesis testing is an essential statistical method in psychology and the cognitive sciences. The problems of traditional null hypothesis significance testing (NHST) have been discussed widely, and among the proposed solutions to the…

Methodology · Statistics 2020-05-28 Riko Kelter

As a convention, p-value is often computed in frequentist hypothesis testing and compared with the nominal significance level of 0.05 to determine whether or not to reject the null hypothesis. The smaller the p-value, the more significant…

Methodology · Statistics 2020-02-25 Haolun Shi , Guosheng Yin

The machine learning community adopted the use of null hypothesis significance testing (NHST) in order to ensure the statistical validity of results. Many scientific fields however realized the shortcomings of frequentist reasoning and in…

Machine Learning · Statistics 2017-07-18 Alessio Benavoli , Giorgio Corani , Janez Demsar , Marco Zaffalon

Null hypothesis significance tests and p values are widely used despite very strong arguments against their use in many contexts. Confidence intervals are often recommended as an alternative, but these do not achieve the objective of…

Methodology · Statistics 2014-02-12 Michael Wood

The Full Bayesian Significance Test (FBST) for precise hypotheses was presented by Pereira and Stern [Entropy 1(4) (1999) 99-110] as a Bayesian alternative instead of the traditional significance test using p-value. The FBST is based on the…

Methodology · Statistics 2019-06-12 Alejandra Estefanía Patiño Hoyos , Victor Fossaluza

When researchers carry out a null hypothesis significance test, it is tempting to assume that a statistically significant result lowers Prob(H0), the probability of the null hypothesis being true. Technically, such a statement is…

Applications · Statistics 2022-04-19 Daniel J. Schad , Shravan Vasishth

Null Hypothesis Significance Testing (NHST) has long been of central importance to psychology as a science, guiding theory development and underlying the application of evidence-based intervention and decision-making. Recent years, however,…

Methodology · Statistics 2020-10-20 Fintan Costello , Paul Watts

It is widely acknowledged that the biomedical literature suffer from a surfeit of false positive results. Part of the reason for this is the persistence of the myth that observation of a p value less than 0.05 is sufficient justification to…

Applications · Statistics 2019-03-28 David Colquhoun

Null Hypothesis Significance Testing (NHST) has long been central to the scientific project, guiding theory development and supporting evidence-based intervention and decision-making. Recent years, however, have seen growing awareness of…

Methodology · Statistics 2020-10-16 Fintan Costello , Paul Watts

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

We emphasize that the mention of the significance level when rejecting the null hypothesis (H0) which assumes that what is observed is pure noise) can mislead one to think that the H0 hypothesis is unlikely to occur with that significance…

Instrumentation and Methods for Astrophysics · Physics 2015-05-13 T. Appourchaux , R. Samadi , M. -A. Dupret

In many fields of research null hypothesis significance tests and p values are the accepted way of assessing the degree of certainty with which research results can be extrapolated beyond the sample studied. However, there are very serious…

Methodology · Statistics 2020-01-14 Michael Wood

While Null Hypothesis Significance Testing (NHST) remains a widely used statistical tool, it suffers from several shortcomings in its common usage, such as conflating statistical and practical significance, the formulation of inappropriate…

In science, the most widespread statistical quantities are perhaps $p$-values. A typical advice is to reject the null hypothesis $H_0$ if the corresponding p-value is sufficiently small (usually smaller than 0.05). Many criticisms regarding…

Statistics Theory · Mathematics 2013-11-18 Alexandre G. Patriota

In traditional hypothesis testing one must pre-specify the significance level $\alpha$ to bound the `size' of the test: its probability to falsely reject the hypothesis. Indeed, a data-dependent selection of $\alpha$ would generally distort…

Statistics Theory · Mathematics 2025-12-03 Nick W. Koning

Much of science is (rightly or wrongly) driven by hypothesis testing. Even in situations where the hypothesis testing paradigm is correct, the common practice of basing inferences solely on p-values has been under intense criticism for over…

Methodology · Statistics 2015-12-31 M. J. Bayarri , Daniel J. Benjamin , James O. Berger , Thomas M. Sellke
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