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Understanding causal mechanisms is crucial for explaining and generalizing empirical phenomena. Causal mediation analysis offers statistical techniques to quantify the mediation effects. Although numerous methods have been developed for…

Methodology · Statistics 2026-05-12 Jiawei Fu

Meta-analysis is a statistical method to combine results from multiple clinical or genomic studies with the same or similar research problems. It has been widely use to increase statistical power in finding clinical or genomic differences…

Statistics Theory · Mathematics 2019-08-05 Yusi Fang , Shaowu Tang , Zhiguang Huo , George C. Tseng , Yongseok Park

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…

Methodology · Statistics 2025-11-20 Ao Huang , Christian Röver , Tim Friede

Genetic association analyses often involve data from multiple potentially-heterogeneous subgroups. The expected amount of heterogeneity can vary from modest (e.g., a typical meta-analysis) to large (e.g., a strong gene--environment…

Methodology · Statistics 2014-04-15 Xiaoquan Wen , Matthew Stephens

In evidence synthesis, effect modifiers are typically described as variables that induce treatment effect heterogeneity at the individual level, through treatment-covariate interactions in an outcome model parametrized at such level. As…

Methodology · Statistics 2026-05-07 Antonio Remiro-Azócar

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…

Methodology · Statistics 2019-01-15 Svenja E. Seide , Christian Röver , Tim Friede

Researchers are increasingly turning to machine learning (ML) algorithms to investigate causal heterogeneity in randomized experiments. Despite their promise, ML algorithms may fail to accurately ascertain heterogeneous treatment effects…

Methodology · Statistics 2024-04-23 Kosuke Imai , Michael Lingzhi Li

Meta-analysis can be a critical part of the research process, often serving as the primary analysis on which the practitioners, policymakers, and individuals base their decisions. However, current literature synthesis approaches to…

Methodology · Statistics 2023-08-28 Lily H. Zhang , Menelaos Konstantinidis , Marie-Abèle Bind , Donald B. Rubin

Network meta-analysis (NMA) is widely used to compare multiple interventions simultaneously by synthesizing direct and indirect evidence. The general fixed or random effects contrast-based NMA model can be applied to different outcomes and…

Methodology · Statistics 2026-03-03 Harlan Campbell , Jeroen P. Jansen

Meta-analysis combines pertinent information from existing studies to provide an overall estimate of population parameters/effect sizes, as well as to quantify and explain the differences between studies. However, testing the between-study…

Methodology · Statistics 2020-11-13 Han Du , Ge Jiang , Zijun Ke

A fundamental limitation of causal inference in observational studies is that perceived evidence for an effect might instead be explained by factors not accounted for in the primary analysis. Methods for assessing the sensitivity of a…

Methodology · Statistics 2018-09-14 Colin B. Fogarty

An aggregate data meta-analysis is a statistical method that pools the summary statistics of several selected studies to estimate the outcome of interest. When considering a continuous outcome, typically each study must report the same…

Methodology · Statistics 2022-06-22 Sean McGrath , XiaoFei Zhao , Zhi Zhen Qin , Russell Steele , Andrea Benedetti

The median statistic has recently been discussed by Gott \textit{et al.} as a more reliable alternative to the standard $\chi^2$ likelihood analysis, in the sense of requiring fewer assumptions about the data and being almost as…

Astrophysics · Physics 2009-11-07 P. P. Avelino , C. J. A. P. Martins , P. Pinto

A number of popular estimators of the between-study variance, $\tau^2$, are based on the Cochran's $Q$ statistic for testing heterogeneity in meta analysis. We introduce new point and interval estimators of $\tau^2$ for log-odds-ratio.…

Methodology · Statistics 2022-08-02 Elena Kulinskaya , David C. Hoaglin

Background: Subgroup analyses and meta-regression are commonly used to investigate heterogeneity in diagnostic test accuracy (DTA) meta-analyses (MA), but adherence to methodological guidance is unclear. This methodological review…

One size fits all approaches to medicine have become a thing of the past as the understanding of individual differences grows. The paper introduces a test for the presence of heterogeneity in treatment effects in a clinical trial.…

We consider the problem of testing for treatment effect heterogeneity in observational studies, and propose a nonparametric test based on multisample U-statistics. To account for potential confounders, we use reweighted data where the…

Methodology · Statistics 2021-03-30 Maozhu Dai , Weining Shen , Hal S. Stern

In the random-effects model of meta-analysis a canonical representation of the restricted likelihood function is obtained. This representation relates the mean effect and the heterogeneity variance estimation problems. An explicit form of…

Statistics Theory · Mathematics 2014-10-28 Andrew L. Rukhin

The empirical literature on the relationship between income inequality and economic growth has produced highly heterogeneous and often conflicting results. This paper investigates the sources of this heterogeneity using a meta-analytic…

Econometrics · Economics 2026-02-23 Lisa Capretti , Lorenzo Tonni

An important task in drug development is to identify patients, which respond better or worse to an experimental treatment. Identifying predictive covariates, which influence the treatment effect and can be used to define subgroups of…

Methodology · Statistics 2018-11-27 Marius Thomas , Björn Bornkamp , Katja Ickstadt