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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…

In diagnostic test accuracy meta-analysis (DTA-MA), standard inference methods using bivariate random-effects models for jointly synthesizing sensitivity and specificity can be sensitive to outlying studies and may yield misleading…

Methodology · Statistics 2026-05-01 Kotaro Sasaki , Hisashi Noma , Theodoros Evrenoglou

In meta-analysis, the random-effects models are standard tools to address between-study heterogeneity in evidence synthesis analyses. For the random-effects distribution models, the normal distribution model has been adopted in most…

Applications · Statistics 2021-07-28 Hisashi Noma , Kengo Nagashima , Shogo Kato , Satoshi Teramukai , Toshi A. Furukawa

This study introduces an outlier-robust model for analyzing hierarchically structured bounded count data within a Bayesian framework, utilizing a logistic regression approach implemented in JAGS. Our model incorporates a t-distributed…

Methodology · Statistics 2026-02-17 Divan A. Burger , Sean van der Merwe , Emmanuel Lesaffre

Network meta-analysis has been gaining prominence as an evidence synthesis method that enables the comprehensive synthesis and simultaneous comparison of multiple treatments. In many network meta-analyses, some of the constituent studies…

Methodology · Statistics 2021-07-14 Hisashi Noma , Masahiko Gosho , Ryota Ishii , Koji Oba , Toshi A. Furukawa

In a network meta-analysis, some of the collected studies may deviate markedly from the others, for example having very unusual effect sizes. These deviating studies can be regarded as outlying with respect to the rest of the network and…

Methodology · Statistics 2023-01-11 Silvia Metelli , Dimitris Mavridis , Perrine Créquit , Anna Chaimani

The adaptive asymmetric trimmed mean is a known way of estimating central location, usually in conjunction with the bootstrap. It is here modified and applied to meta-analysis, as a way of dealing with outlying results by down-weighting the…

Applications · Statistics 2019-07-17 Rose Baker

Meta-analyses are regarded as the highest level in the hierarchy of evidence, yet standard models traditionally concentrated on estimating the mean effect size, often under restrictive assumptions about the underlying distribution, such as…

Other Statistics · Statistics 2026-04-02 Yefeng Yang , Shinichi Nakagawa

The random-effects or normal-normal hierarchical model is commonly utilized in a wide range of meta-analysis applications. A Bayesian approach to inference is very attractive in this context, especially when a meta-analysis is based only on…

Computation · Statistics 2020-04-29 Christian Röver

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…

Methodology · Statistics 2018-02-16 Ioannis Kosmidis , Annamaria Guolo , Cristiano Varin

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…

Methodology · Statistics 2024-04-23 Wei Liang , Haicheng Huang , Hongsheng Dai , Yinghui Wei

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

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…

Applications · Statistics 2018-05-25 Sophia Kyriakou , Ioannis Kosmidis , Nicola Sartori

Model mis-specification (e.g. the presence of outliers) is commonly encountered in astronomical analyses, often requiring the use of ad hoc algorithms which are sensitive to arbitrary thresholds (e.g. sigma-clipping). For any given dataset,…

Instrumentation and Methods for Astrophysics · Physics 2025-09-03 William Martin , Daniel J. Mortlock

Automated machine learning has been widely researched and adopted in the field of supervised classification and regression, but progress in unsupervised settings has been limited. We propose a novel approach to automate outlier detection…

Machine Learning · Computer Science 2024-09-10 Prabhant Singh , Joaquin Vanschoren

As in other estimation scenarios, likelihood based estimation in the normal mixture set-up is highly non-robust against model misspecification and presence of outliers (apart from being an ill-posed optimization problem). A robust…

Methodology · Statistics 2023-12-20 Soumya Chakraborty , Ayanendranath Basu , Abhik Ghosh

In a meta-analysis, it is important to specify a model that adequately describes the effect-size distribution of the underlying population of studies. The conventional normal fixed-effect and normal random-effects models assume a normal…

Methodology · Statistics 2013-10-21 George Karabatsos , Elizabeth Talbott , Stephen G. Walker

Linear regression estimators are known to be sensitive to outliers, and one alternative to obtain a robust and efficient estimator of the regression parameter is to model the error with Student's $t$ distribution. In this article, we…

Methodology · Statistics 2026-03-19 Amanda Ng , Shangkai Zhu , Archer Gong Zhang , Nancy Reid

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…

Applications · Statistics 2026-01-28 Peter Matrai , Tamas Koi , Zoltan Sipos , Nelli Farkas

Nonlinear mixed effects models have received a great deal of attention in the statistical literature in recent years because of their flexibility in handling longitudinal studies, including human immunodeficiency virus viral dynamics,…

Methodology · Statistics 2021-09-28 Fernanda L. Schumacher , Dipak K. Dey , Victor H. Lachos
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