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Bayesian dynamic borrowing has become an increasingly important tool for evaluating the consistency of regional treatment effects which is a key requirement for local regulatory approval of a new drug. It helps increase the precision of…

Methodology · Statistics 2026-01-06 Xin Zhang , Hui Zhang , Satrajit Roychoudhury

Background Hybrid clinical trial design integrates randomized controlled trials (RCTs) with real-world data (RWD) to enhance efficiency through dynamic incorporation of external data. Existing methods like the Meta-Analytic Predictive Prior…

Methodology · Statistics 2025-05-20 Keer Chen , Zengyue Zheng , Pengfei Zhu , Shuping Jiang , Nan Li , Jumin Deng , Pingyan Chen , Zhenyu Wu , Ying Wu

BACKGROUND: Random-effects meta-analysis within a hierarchical normal modeling framework is commonly implemented in a wide range of evidence synthesis applications. More general problems may even be tackled when considering meta-regression…

Computation · Statistics 2022-12-27 Christian Röver , Tim Friede

We propose a novel empirical Bayes robust MAP (EB-rMAP) prior to adaptively leverage external/historical data. Built on Box's prior predictive p-value, the EB-rMAP prior framework balances between model parsimony and flexibility through a…

Methodology · Statistics 2021-12-09 Hongtao Zhang , Yueqi Shen , Alan Y Chiang , Judy Li

Integrating multiple observational studies for meta-analysis has sparked much interest. The presented R package WMAP (Weighted Meta-Analysis with Pseudo-Population) addresses a critical gap in the implementation of integrative weighting…

Methodology · Statistics 2025-07-01 Subharup Guha , Mengqi Xu , Kashish Priyam , Yi Li

In current clinical trial development, historical information is receiving more attention as it provides utility beyond sample size calculation. Meta-analytic-predictive (MAP) priors and robust MAP priors have been proposed for…

Methodology · Statistics 2022-08-03 Tianyu Zhan , Yiwang Zhou , Ziqian Geng , Yihua Gu , Jian Kang , Li Wang , Xiaohong Huang , Elizabeth H. Slate

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

Meta-analytic-predictive (MAP) priors have been proposed as a generic approach to deriving informative prior distributions, where external empirical data are processed to learn about certain parameter distributions. The use of MAP priors is…

Methodology · Statistics 2025-11-11 Christian Röver , Tim Friede

Meta-analysis methods are used to combine evidence from multiple studies. Meta-regression as well as model-based meta-analysis are extensions of standard pairwise meta-analysis in which information about study-level covariates and…

Methodology · Statistics 2022-02-02 Burak Kürsad Günhan , Christian Röver , Tim Friede

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

In Bayesian meta-analysis, the specification of prior probabilities for the between-study heterogeneity is commonly required, and is of particular benefit in situations where only few studies are included. Among the considerations in the…

Methodology · Statistics 2023-06-02 Christian Röver , Sibylle Sturtz , Jona Lilienthal , Ralf Bender , Tim Friede

Bayesian model-averaged meta-analysis allows quantification of evidence for both treatment effectiveness $\mu$ and across-study heterogeneity $\tau$. We use the Cochrane Database of Systematic Reviews to develop discipline-wide empirical…

Recent advances in big data and analytics research have provided a wealth of large data sets that are too big to be analyzed in their entirety, due to restrictions on computer memory or storage size. New Bayesian methods have been developed…

Applications · Statistics 2014-09-30 Alexey Miroshnikov , Erin Conlon

In a bivariate meta-analysis the number of diagnostic studies involved is often very low so that frequentist methods may result in problems. Bayesian inference is attractive as informative priors that add small amount of information can…

Methodology · Statistics 2015-12-22 Jingyi Guo , Håvard Rue , Andrea Riebler

There has been increased interest in the use of historical data to formulate informative priors in regression models. While many such priors for incorporating historical data have been proposed, adoption is limited due to access to…

Methodology · Statistics 2025-06-26 Ethan M. Alt , Xinxin Chen , Luiz M. Carvalho , Joseph G. Ibrahim

Prior information is often incorporated informally when planning a clinical trial. Here, we present an approach on how to incorporate prior information, such as data from historical clinical trials, into the nuisance parameter based sample…

Applications · Statistics 2019-03-08 Tobias Mütze , Heinz Schmidli , Tim Friede

In variety testing, multi-environment trials (MET) are essential for evaluating the genotypic performance of crop plants. A persistent challenge in the statistical analysis of MET data is the estimation of variance components, which are…

Methodology · Statistics 2026-04-20 Stephan Bark , Waqas Ahmed Malik , Maryna Prus , Hans-Peter Piepho , Volker Schmid

The prediction interval is gaining prominence in meta-analysis as it enables the assessment of uncertainties in treatment effects and heterogeneity between studies. However, coverage probabilities of the current standard method for…

Methodology · Statistics 2021-10-18 Kengo Nagashima , Hisashi Noma , Toshi A. Furukawa

In network meta-analysis (NMA), we synthesize all relevant evidence about health outcomes with competing treatments. The evidence may come from randomized controlled trials (RCT) or non-randomized studies (NRS) as individual participant…

Meta-analyses of clinical trials targeting rare events face particular challenges when the data lack adequate numbers of events for all treatment arms. Especially when the number of studies is low, standard meta-analysis methods can lead to…

Applications · Statistics 2020-01-20 Burak Kürsad Günhan , Christian Röver , Tim Friede
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