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Random-effects meta-analyses are used to combine evidence of treatment effects from multiple studies. Since treatment effects may vary across trials due to differences in study characteristics, heterogeneity in treatment effects between…

统计方法学 · 统计学 2017-07-10 Tim Friede , Christian Röver , Simon Wandel , Beat Neuenschwander

Meta-analysis can be formulated as combining $p$-values across studies into a joint $p$-value function, from which point estimates and confidence intervals can be derived. We extend the meta-analytic estimation framework based on combined…

统计方法学 · 统计学 2025-10-21 David Kronthaler , Leonhard Held

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

Meta-analyses are commonly used to provide solid evidence across numerous studies. Traditional moment methods, such as the DerSimonian-Laird method, remain popular in spite of the availability of more accurate alternatives. While moment…

统计方法学 · 统计学 2024-12-06 Keisuke Hanada , Tomoyuki Sugimoto

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

Systematic reviews aim to summarize all the available evidence relevant to a particular research question. If appropriate, the data from identified studies are quantitatively combined in a meta-analysis. Often only few studies regarding a…

统计方法学 · 统计学 2020-07-14 M. Henmi , S. Hattori , T. Friede

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

Random-effects meta-analysis requires an estimate of the between-study variance, $\tau^2$. We study methods of estimation of $\tau^2$ and its confidence interval in meta-analysis of odds ratio, and also the performance of related estimators…

统计方法学 · 统计学 2019-02-20 Ilyas Bakbergenuly , David C. Hoaglin , Elena Kulinskaya

Random-effects meta-analyses are widely used for evidence synthesis in medical research. However, conventional methods based on large-sample approximations often exhibit poor performance in case of very few studies (e.g., 2 to 4), which is…

统计方法学 · 统计学 2025-11-20 Ao Huang , Christian Röver , Tim Friede

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

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

Standard random-effects meta-analysis methods perform poorly when applied to few studies only. Such settings however are commonly encountered in practice. It is unclear, whether or to what extent small-sample-size behaviour can be improved…

统计方法学 · 统计学 2019-01-15 Svenja E. Seide , Christian Röver , Tim Friede

Prediction intervals are commonly used in meta-analysis with random-effects models. One widely used method, the Higgins-Thompson-Spiegelhalter prediction interval, replaces the heterogeneity parameter with its point estimate, but its…

统计方法学 · 统计学 2025-11-14 Kengo Nagashima , Hisashi Noma , Toshi A. Furukawa

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…

统计方法学 · 统计学 2024-04-23 Wei Liang , Haicheng Huang , Hongsheng Dai , Yinghui Wei

Random-effects models are central to meta-analysis, yet the between-study variance is often underestimated when the number of studies is small. In such settings, confidence intervals become unduly narrow and fail to attain the nominal…

统计方法学 · 统计学 2025-11-18 Keisuke Hanada , Tomoyuki Sugimoto

Background: Pairwise and network meta-analyses using fixed effect and random effects models are commonly applied to synthesise evidence from randomised controlled trials. The models differ in their assumptions and the interpretation of the…

统计方法学 · 统计学 2017-08-04 Shijie Ren , Jeremy E. Oakley , John W. Stevens

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…

统计方法学 · 统计学 2025-10-16 David Kronthaler , Leonhard Held

The Mantel-Haenszel (MH) risk difference estimator, commonly used in randomized clinical trials for binary outcomes, calculates a weighted average of stratum-specific risk difference estimators. Traditionally, this method requires the…

统计方法学 · 统计学 2025-05-12 Xiaoyu Qiu , Yuhan Qian , Jaehwan Yi , Jinqiu Wang , Yu Du , Yanyao Yi , Ting Ye

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 2019-07-09 Ilyas Bakbergenuly , David C. Hoaglin , Elena Kulinskaya

Meta-analyses of correlation coefficients are an important technique to integrate results from many cross-sectional and longitudinal research designs. Uncertainty in pooled estimates is typically assessed with the help of confidence…

统计方法学 · 统计学 2020-09-04 Thilo Welz , Philipp Doebler , Markus Pauly
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