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The randomized $p$-value, (nonrandomized) mid-$p$-value and abstract randomized $p$-value have all been recommended for testing a null hypothesis whenever the test statistic has a discrete distribution. This paper provides a unifying…

Computation · Statistics 2014-12-02 Joshua D Habiger

Classical and more recent tests for detecting distributional changes in multivariate time series often lack power against alternatives that involve changes in the cross-sectional dependence structure. To be able to detect such changes…

Statistics Theory · Mathematics 2014-09-16 Axel Bücher , Ivan Kojadinovic , Tom Rohmer , Johan Segers

Among plausible causes for replicability failure, one that has not received sufficient attention is the environment in which the research is conducted. Consisting of the population, equipment, personnel, and various conditions such as…

Methodology · Statistics 2020-09-01 James J. Higgins , Michael J. Higgins , Jinguang Lin

Statistical inferential results generally come with a measure of reliability for decision-making purposes. For a policy implementer, the value of implementing published policy research depends critically upon this reliability. For a policy…

Other Statistics · Statistics 2024-08-21 Duncan Ermini Leaf

A pair of lower and upper cumulative distribution functions, also called probability box or p-box, is among the most popular models used in imprecise probability theory. They arise naturally in expert elicitation, for instance in cases…

Probability · Mathematics 2018-08-10 Matthias C. M. Troffaes , Sebastien Destercke

Multiple testing of a single hypothesis and testing multiple hypotheses are usually done in terms of p-values. In this paper we replace p-values with their natural competitor, e-values, which are closely related to betting, Bayes factors,…

Statistics Theory · Mathematics 2021-10-26 Vladimir Vovk , Ruodu Wang

The sensitivities revealed by a sensitivity analysis of a probabilistic network typically depend on the entered evidence. For a real-life network therefore, the analysis is performed a number of times, with different evidence. Although…

Artificial Intelligence · Computer Science 2012-07-19 Silja Renooij , Linda C. van der Gaag

It is common to show the confidence intervals or $p$-values of selected features, or predictor variables in regression, but they often involve selection bias. The selective inference approach solves this bias by conditioning on the…

Methodology · Statistics 2022-06-02 Yoshikazu Terada , Hidetoshi Shimodaira

We introduce a joint posterior $p$-value, an extension of the posterior predictive $p$-value for multiple test statistics, designed to address limitations of existing Bayesian $p$-values in the setting of continuous model expansion. In…

Methodology · Statistics 2023-12-13 Collin Cademartori

In the past two decades, psychological science has experienced an unprecedented replicability crisis which uncovered several issues. Among others, statistical inference is too often viewed as an isolated procedure limited to the analysis of…

One class of statistical hypothesis testing procedures is the indisputable equivalence tests, whose main objective is to establish practical equivalence rather than the usual statistical significant difference. These hypothesis tests are…

Methodology · Statistics 2024-01-04 Daniel Ochieng

A great deal of effort has been devoted to reducing the risk of spurious scientific discoveries, from the use of sophisticated validation techniques, to deep statistical methods for controlling the false discovery rate in multiple…

Machine Learning · Computer Science 2016-03-03 Cynthia Dwork , Vitaly Feldman , Moritz Hardt , Toniann Pitassi , Omer Reingold , Aaron Roth

Most scientific disciplines use significance testing to draw conclusions about experimental or observational data. This classical approach provides a theoretical guarantee for controlling the number of false positives across a set of…

Applications · Statistics 2023-03-06 Stanley E. Lazic

In large-scale hypothesis testing, computing exact $p$-values or $e$-values is often resource-intensive, creating a need for budget-aware inferential methods. We propose a general framework for active hypothesis testing that leverages…

Methodology · Statistics 2026-04-09 Qi Kuang , Bowen Gang , Yin Xia

Several systematic studies have suggested that a large fraction of published research is not reproducible. One probable reason for low reproducibility is insufficient sample size, resulting in low power and low positive predictive value. It…

General Economics · Economics 2020-07-01 Oliver Braganza

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

A hypothesis testing and an interval estimation are studied for the common mean of several lognormal populations. Two methods are given based on the concept of generalized p-value and generalized confidence interval. These new methods are…

Statistics Theory · Mathematics 2014-05-06 Javad Behboodian , Ali Akbar Jafari

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

Scientists often use meta-analysis to characterize the impact of an intervention on some outcome of interest across a body of literature. However, threats to the utility and validity of meta-analytic estimates arise when scientists average…

Human-Computer Interaction · Computer Science 2023-02-21 Alex Kale , Sarah Lee , Terrance Goan , Elizabeth Tipton , Jessica Hullman

A key objective in conducting a Bell test is to quantify the statistical evidence against a local-hidden variable model (LHVM) given that we can collect only a finite number of trials in any experiment. The notion of statistical evidence is…

Quantum Physics · Physics 2018-04-19 David Elkouss , Stephanie Wehner
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