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Verifying that a statistically significant result is scientifically meaningful is not only good scientific practice, it is a natural way to control the Type I error rate. Here we introduce a novel extension of the p-value - a…

Methodology · Statistics 2018-07-04 Jeffrey D. Blume , Lucy DAgostino McGowan , William D. Dupont , Robert A. Greevy

Diagnostic test accuracy studies observe the result of a gold standard procedure that defines the presence or absence of a disease and the result of a diagnostic test. They typically report the number of true positives, false positives,…

Methodology · Statistics 2020-08-19 Aristidis K. Nikoloulopoulos

Methods of merging several p-values into a single p-value are important in their own right and widely used in multiple hypothesis testing. This paper is the first to systematically study the admissibility (in Wald's sense) of p-merging…

Statistics Theory · Mathematics 2021-03-30 Vladimir Vovk , Bin Wang , Ruodu Wang

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

Testing effect size homogeneity is an essential part when conducting a meta-analysis. Comparative studies of effect size homogeneity tests in case of binary outcomes are found in the literature, but no test has come out as an absolute…

Methodology · Statistics 2022-03-11 Osama Almalik

Given observations from a stationary time series, permutation tests allow one to construct exactly level $\alpha$ tests under the null hypothesis of an i.i.d. (or, more generally, exchangeable) distribution. On the other hand, when the null…

Statistics Theory · Mathematics 2020-09-09 Joseph P. Romano , Marius A. Tirlea

Statistical inference about the average effect in random-effects meta-analysis has been considered insufficient in the presence of substantial between-study heterogeneity. Predictive distributions are well-suited for quantifying…

Methodology · Statistics 2025-10-16 David Kronthaler , Leonhard Held

Mixed-effects models have emerged as the gold standard of statistical analysis in different sub-fields of linguistics (Baayen, Davidson & Bates, 2008; Johnson, 2009; Barr, et al, 2013; Gries, 2015). One problematic feature of these models…

Applications · Statistics 2017-01-19 Christopher Eager , Joseph Roy

Regulation is an important feature characterising many dynamical phenomena and can be tested within the threshold autoregressive setting, with the null hypothesis being a global non-stationary process. Nonetheless, this setting is debatable…

Methodology · Statistics 2021-11-18 Kung-Sik Chan , Simone Giannerini , Greta Goracci , Howell Tong

In this paper, we investigate hypothesis testing for the linear combination of mean vectors across multiple populations through the method of random integration. We have established the asymptotic distributions of the test statistics under…

Applications · Statistics 2024-03-13 Jianghao Li , Shizhe Hong , Zhenzhen Niu , Zhidong Bai

Traditional meta-analysis assumes that the effect sizes estimated in individual studies follow a Gaussian distribution. However, this distributional assumption is not always satisfied in practice, leading to potentially biased results. In…

Methodology · Statistics 2024-04-23 Wei Liang , Haicheng Huang , Hongsheng Dai , Yinghui Wei

Suppose that a data analyst wishes to report the results of a least squares linear regression only if the overall null hypothesis, $H_0^{1:p}: \beta_1= \beta_2 = \ldots = \beta_p=0$, is rejected. This practice, which we refer to as…

Methodology · Statistics 2026-05-12 Olivia McGough , Daniela Witten , Daniel Kessler

This paper proposes novel tests for the absence of jumps in a univariate semimartingale and for the absence of common jumps in a bivariate semimartingale. Our methods rely on ratio statistics of power variations based on irregular…

Statistics Theory · Mathematics 2017-12-21 Ole Martin , Mathias Vetter

Thanks to its favorable properties, the multivariate normal distribution is still largely employed for modeling phenomena in various scientific fields. However, when the number of components $p$ is of the same asymptotic order as the sample…

Statistics Theory · Mathematics 2022-11-17 Caizhu Huang , Claudia Di Caterina , Nicola Sartori

The paper shows that matching without replacement on propensity scores produces estimators that generally are inconsistent for the average treatment effect of the treated. To achieve consistency, practitioners must either assume that no…

Econometrics · Economics 2021-06-21 Fredrik Sävje

Two common concerns raised in analyses of randomized experiments are (i) appropriately handling issues of non-compliance, and (ii) appropriately adjusting for multiple tests (e.g., on multiple outcomes or subgroups). Although simple…

Methodology · Statistics 2016-05-25 Joseph J. Lee , Laura Forastiere , Luke Miratrix , Natesh S. Pillai

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

The present study investigates the performance of several statistical tests to detect publication bias in diagnostic meta-analysis by means of simulation. While bivariate models should be used to pool data from primary studies in diagnostic…

Methodology · Statistics 2022-11-24 Paul-Christian Bürkner , Philipp Doebler

In this paper, we study the hypothesis testing problem of, among $n$ random variables, determining $k$ random variables which have different probability distributions from the rest $(n-k)$ random variables. Instead of using separate…

Information Theory · Computer Science 2013-05-28 Weiyu Xu , Lifeng Lai

We develop non-asymptotically justified methods for hypothesis testing about the $p-$dimensional coefficients $\theta^{*}$ in (possibly nonlinear) regression models. Given a function $h:\,\mathbb{R}^{p}\mapsto\mathbb{R}^{m}$, we consider…

Statistics Theory · Mathematics 2019-07-01 Ying Zhu
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