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Random effects meta-analysis is widely used for synthesizing studies under the assumption that underlying effects come from a normal distribution. However, under certain conditions the use of alternative distributions might be more…

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…

Methodology · Statistics 2025-10-21 David Kronthaler , Leonhard Held

When studying the causal effect of $x$ on $y$, researchers may conduct regression and report a confidence interval for the slope coefficient $\beta_{x}$. This common confidence interval provides an assessment of uncertainty from sampling…

Methodology · Statistics 2019-08-26 Brian Knaeble , Braxton Osting , Mark Abramson

Subgroup-specific meta-analysis synthesizes treatment effects for patient subgroups across randomized trials. Methods include joint or separate modeling of subgroup effects and treatment-by-subgroup interactions, but inconsistencies arise…

Methodology · Statistics 2025-08-22 Renato Panaro , Christian Röver , Tim Friede

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

Including pairwise interactions between the predictors of a regression model can produce better predicting models. However, to fit such interaction models on typical data sets in biology and other fields can often require solving enormous…

Methodology · Statistics 2023-02-14 Guo Yu , Jacob Bien , Ryan Tibshirani

Studies often estimate associations between an outcome and multiple variates. For example, studies of diagnostic test accuracy estimate sensitivity and specificity, and studies of predictive and prognostic factors typically estimate…

Commonly, clinical trials report effects not only for the full study population but also for patient subgroups. Meta-analyses of subgroup-specific effects and treatment-by-subgroup interactions may be inconsistent, especially when trials…

Methodology · Statistics 2025-12-23 Renato Panaro , Christian Röver , Tim Friede

Hierarchical data with multiple observations per group is ubiquitous in empirical sciences and is often analyzed using mixed-effects regression. In such models, Bayesian inference gives an estimate of uncertainty but is analytically…

Machine Learning · Computer Science 2026-02-05 Alex Kipnis , Marcel Binz , Eric Schulz

P values or risk ratios from multiple, independent studies, observational or randomized, can be computationally combined to provide an overall assessment of a research question in meta-analysis. There is a need to examine the reliability of…

Methodology · Statistics 2021-10-28 S. Stanley Young , Warren B. Kindzierski

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

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…

Methodology · Statistics 2024-12-06 Keisuke Hanada , Tomoyuki Sugimoto

Conjoint experiments have become central to survey research in political science and related fields because they allow researchers to study preferences across multiple attributes simultaneously. Beyond estimating main effects, scholars…

Methodology · Statistics 2025-10-03 Steven Wang , Isys Johnson , Jessica Grogan , Lalit Jain , Atri Rudra , Kyle Hunt , Kenneth Joseph

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…

Methodology · Statistics 2017-08-04 Shijie Ren , Jeremy E. Oakley , John W. Stevens

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…

Methodology · Statistics 2020-09-04 Thilo Welz , Philipp Doebler , Markus Pauly

In epidemiological research, it is common to investigate the interaction between risk factors for an outcome such as a disease and hence to estimate the risk associated with being exposed for either or both of two risk factors under…

Methodology · Statistics 2020-08-05 Jesse Huang , Ingrid Kockum , Pernilla Stridh

According to Davey et al. (2011) with a total of 22,453 meta-analyses from the January 2008 Issue of the Cochrane Database of Systematic Reviews, the median number of studies included in each meta-analysis is only three. In other words,…

Methodology · Statistics 2020-02-12 Enxuan Lin , Tiejun Tong , Yong Chen , Yuedong Wang

Meta-analysis, by synthesizing effect estimates from multiple studies conducted in diverse settings, stands at the top of the evidence hierarchy in clinical research. Yet, conventional approaches based on fixed- or random-effects models…

Individual-specific, time-constant, random effects are often used to model dependence and/or to account for omitted covariates in regression models for longitudinal responses. Longitudinal studies have known a huge and widespread use in the…

Methodology · Statistics 2026-01-14 Marco Alfo' , Roberto Rocci

Beta regression models are a suitable choice for continuous response variables on the unity interval. Random effects add further flexibility to the models and accommodate data structures such as hierarchical, repeated measures and…

Applications · Statistics 2017-04-25 Wagner H. Bonat , Paulo J. Ribeiro , Walmes Marque Zeviani