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Methods for random-effects meta-analysis require an estimate of the between-study variance, $\tau^2$. The performance of estimators of $\tau^2$ (measured by bias and coverage) affects their usefulness in assessing heterogeneity of…

统计方法学 · 统计学 2019-04-04 Ilyas Bakbergenuly , David C. Hoaglin , Elena Kulinskaya

Modern statistics provides an ever-expanding toolkit for estimating unknown parameters. Consequently, applied statisticians frequently face a difficult decision: retain a parameter estimate from a familiar method or replace it with an…

统计方法学 · 统计学 2022-12-20 Brian L. Trippe , Sameer K. Deshpande , Tamara Broderick

Significant treatment effects are often emphasized when interpreting and summarizing empirical findings in studies that estimate multiple, possibly many, treatment effects. Under this kind of selective reporting, conventional treatment…

计量经济学 · 经济学 2025-12-11 Andreas Dzemski , Ryo Okui , Wenjie Wang

The concepts of variability and uncertainty, both epistemic and alleatory, came from experience and coexist with different connotations. Therefore this article attempts to express their relation by analytic means firstly setting sights on…

其他统计学 · 统计学 2013-01-15 Kalman Ziha

The coefficient of variation is a useful indicator for comparing the spread of values between dataset with different units or widely different means. In this paper we address the problem of investigating the equality of the coefficients of…

统计方法学 · 统计学 2023-06-06 Francesco Bertolino , Silvia Columbu , Mara Manca , Monica Musio

Methods for random-effects meta-analysis require an estimate of the between-study variance, $\tau^2$. The performance of estimators of $\tau^2$ (measured by bias and coverage) affects their usefulness in assessing heterogeneity of…

统计方法学 · 统计学 2019-03-05 Ilyas Bakbergenuly , David C. Hoaglin , Elena Kulinskaya

Random-effects models are frequently used to synthesise information from different studies in meta-analysis. While likelihood-based inference is attractive both in terms of limiting properties and of implementation, its application in…

应用统计 · 统计学 2018-05-25 Sophia Kyriakou , Ioannis Kosmidis , Nicola Sartori

Equivalence testing compares the hypothesis that an effect $\mu$ is large against the alternative that it is negligible. Here, `large' is classically expressed as being larger than some `equivalence margin' $\Delta$. A longstanding problem…

统计理论 · 数学 2026-03-18 Stan Koobs , Nick W. Koning

Random-effects models are frequently used to synthesise information from different studies in meta-analysis. While likelihood-based inference is attractive both in terms of limiting properties and of implementation, its application in…

统计方法学 · 统计学 2018-02-16 Ioannis Kosmidis , Annamaria Guolo , Cristiano Varin

This paper considers the problem of estimating the variance of a sum of a triangular array of random vectors with heterogeneous means. When random vectors exhibit two-way cluster dependence or weak dependence, standard variance estimators…

计量经济学 · 经济学 2026-03-13 Luther Yap

Stratifying factors, like age and gender, can modify the effect of treatments and exposures on risk of a studied outcome. Several effect measures, including the relative risk, hazard ratio, odds ratio, and risk difference, can be used to…

统计方法学 · 统计学 2021-11-05 Jake Shannin , Babette A. Brumback

We distinguish two questions (i) how much information does the prior contain? and (ii) what is the effect of the prior? Several measures have been proposed for quantifying effective prior sample size, for example Clarke [1996] and Morita et…

统计方法学 · 统计学 2020-01-30 David E Jones , Robert N Trangucci , Yang Chen

Interpreting experimental data in high school experiments can be a difficult task for students, especially when there is large variation in the data. At the same time, calculating the standard deviation poses a challenge for students. In…

物理教育 · 物理学 2022-10-18 Karel Kok , Burkhard Priemer

If an effect measure is more homogeneous than others, then its value is more likely to be stable across different subgroups or subpopulations. Therefore, it is of great importance to find a more homogeneous effect measure that allows for…

统计理论 · 数学 2015-11-10 Peng Ding , Tyler J. VanderWeele

Random effects meta-analysis is a widely applied methodology to synthetize research findings of studies in a specific scientific question. Besides estimating the mean effect, an important aim of the meta-analysis is to summarize the…

应用统计 · 统计学 2026-01-28 Peter Matrai , Tamas Koi , Zoltan Sipos , Nelli Farkas

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…

统计方法学 · 统计学 2021-02-24 Harlan Campbell , Paul Gustafson

A variety of problems in random-effects meta-analysis arise from the conventional $Q$ statistic, which uses estimated inverse-variance (IV) weights. In previous work on standardized mean difference and log-odds-ratio, we found superior…

统计方法学 · 统计学 2020-10-22 Elena Kulinskaya , David C. Hoaglin , Joseph Newman , Ilyas Bakbergenuly

We propose a new statistical hypothesis testing framework which decides visually, using confidence intervals, whether the means of two samples are equal or if one is larger than the other. With our method, the user can at the same time…

统计理论 · 数学 2025-03-06 Timothée Mathieu

Random-effects meta-analyses of observational studies can produce biased estimates if the synthesized studies are subject to unmeasured confounding. We propose sensitivity analyses quantifying the extent to which unmeasured confounding of…

统计方法学 · 统计学 2017-10-10 Maya B. Mathur , Tyler J. VanderWeele

Scientific experiments study interventions that show evidence of an effect size that is meaningfully large, negligibly small, or inconclusively broad. Previously, we proposed contra-analysis as a decision-making process to help determine…

统计方法学 · 统计学 2023-03-17 Bruce A. Corliss , Yaotian Wang , Heman Shakeri , Philip E. Bourne