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Comparative binary outcome data are of fundamental interest in statistics and are often pooled in meta-analyses. Here we examine the simplest case where for each study there are two patient groups and a binary event of interest, giving rise…

统计方法学 · 统计学 2018-06-12 Rose Baker , Dan Jackson

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

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

Researchers increasingly use meta-analysis to synthesize the results of several studies in order to estimate a common effect. When the outcome variable is continuous, standard meta-analytic approaches assume that the primary studies report…

Multivariate meta-analysis is gaining prominence in evidence synthesis research because it enables simultaneous synthesis of multiple correlated outcome data, and random-effects models have generally been used for addressing between-studies…

统计方法学 · 统计学 2021-07-14 Hisashi Noma , Kengo Nagashima , Toshi A. Furukawa

The standardized mean difference (SMD) is a widely used measure of effect size, particularly common in psychology, clinical trials, and meta-analysis involving continuous outcomes. Traditionally, under the equal variance assumption, the SMD…

统计方法学 · 统计学 2025-06-05 Jiandong Shi , Xiaochen Zhang , Lu Lin , Hiu Yee Kwan , Tiejun Tong

Quantifying the heterogeneity is an important issue in meta-analysis, and among the existing measures, the $I^2$ statistic is most commonly used. In this paper, we first illustrate with a simple example that the $I^2$ statistic is heavily…

统计方法学 · 统计学 2025-06-10 Ke Yang , Enxuan Lin , Wangli Xu , Liping Zhu , Tiejun Tong

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

We consider the setting of an aggregate data meta-analysis of a continuous outcome of interest. When the distribution of the outcome is skewed, it is often the case that some primary studies report the sample mean and standard deviation of…

Multivariate meta-analysis can be adapted to a wide range of situations for multiple outcomes and multiple treatment groups when combining studies together. The within-study correlation between effect sizes is often assumed known in…

统计方法学 · 统计学 2020-03-12 Xiaohuan Xue

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

Meta-analysis is an important statistical technique for synthesizing the results of multiple studies regarding the same or closely related research question. So-called meta-regression extends meta-analysis models by accounting for…

统计方法学 · 统计学 2023-02-22 Thilo Welz , Eric S. Knop , Tim Friede , Markus Pauly

The restricted mean survival time (RMST) difference offers an interpretable causal contrast to estimate the treatment effect for time-to-event outcomes, yet a wide range of available estimators leaves limited guidance for practice. We…

统计方法学 · 统计学 2026-03-02 Charlotte Voinot , Clément Berenfeld , Imke Mayer , Bernard Sebastien , Julie Josse

We consider the problem of meta-analyzing two-group studies that report the median of the outcome. Often, these studies are excluded from meta-analysis because there are no well-established statistical methods to pool the difference of…

统计方法学 · 统计学 2022-06-22 Sean McGrath , Hojoon Sohn , Russell Steele , Andrea Benedetti

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

In a completely randomized experiment, the variances of treatment effect estimators in the finite population are usually not identifiable and hence not estimable. Although some estimable bounds of the variances have been established in the…

统计理论 · 数学 2022-09-20 Ruoyu Wang , Qihua Wang , Wang Miao , Xiaohua Zhou

Causal mediation analysis is a powerful tool for disentangling the total effect of a treatment into its direct effect on the outcome and its indirect effect mediated through an intermediate variable. However, in observational studies,…

计量经济学 · 经济学 2026-04-28 Yuhao Deng , Haoyu Wei , Zhongzhe Ouyang

Meta-analysis is widely used to integrate results from multiple experiments to obtain generalized insights. Since meta-analysis datasets are often heteroscedastic due to varying subgroups and temporal heterogeneity arising from experiments…

统计方法学 · 统计学 2026-01-19 Kohsuke Kubota , Shonosuke Sugasawa , Keiichi Ochiai , Takahiro Hoshino

As the most important tool to provide high-level evidence-based medicine, researchers can statistically summarize and combine data from multiple studies by conducting meta-analysis. In meta-analysis, mean differences are frequently used…

统计方法学 · 统计学 2018-01-30 Dehui Luo , Xiang Wan , Jiming Liu , Tiejun Tong

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