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External data borrowing in clinical trial designs has increased in recent years. This is accomplished in the Bayesian framework by specifying informative prior distributions. To mitigate the impact of potential inconsistency (bias) between…

Use of historical data in clinical trial design and analysis has shown various advantages such as reduction of within-study placebo-treated number of subjects and increase of study power. The meta-analytic-predictive (MAP) approach accounts…

Applications · Statistics 2019-12-12 Sebastian Weber , Yue Li , John Seaman , Tomoyuki Kakizume , Heinz Schmidli

Use of historical control data to augment a small internal control arm in a randomized control trial (RCT) can lead to significant improvement of the efficiency of the trial. It introduces the risk of potential bias, since the historical…

Methodology · Statistics 2022-10-05 Jixian Wang , Hongtao Zhang , Ram Tiwari

Robust Mixture Prior (RMP) is a popular Bayesian dynamic borrowing method, which combines an informative historical distribution with a less informative component (referred as robustification component) in a mixture prior to enhance the…

Methodology · Statistics 2026-03-18 Marco Ratta , Gaelle Saint-Hilary , Mauro Gasparini , Pavel Mozgunov

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

Bayesian dynamic borrowing methods incorporate historical control data into current clinical trial analyses while allowing the degree of borrowing to depend on the compatibility between historical and current data. Although many methods…

Methodology · Statistics 2026-05-27 Tomohiro Ohigashi , Wataru Murasaki , Masahiko Gosho

Extrapolating treatment effects from related studies is a promising strategy for designing and analyzing clinical trials in situations where achieving an adequate sample size is challenging. Bayesian methods are well-suited for this…

Methodology · Statistics 2025-11-25 Tristan Fauvel , Julien Tanniou , Pascal Godbillot , Marie Génin , Billy Amzal

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

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

In recent years, basket trials, which allow the evaluation of an experimental therapy across multiple tumor types within a single protocol, have gained prominence in early-phase oncology development. Unlike traditional trials, which…

Applications · Statistics 2025-07-18 Haiming Zhou , Rex Shen , Sutan Wu , Philip He

In early phase drug development of combination therapy, the primary objective is to preliminarily assess whether there is additive activity from a novel agent when combined with an established monotherapy. Due to potential feasibility…

Methodology · Statistics 2025-02-24 Zhaohua Lu , John Toso , Girma Ayele , Philip He

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

Adaptive enrichment trials aim to identify and recruit participants most likely to benefit from treatment based on evolving biomarker evidence, with the goal of informing individualized treatment recommendations. Bayesian methods are well…

Methodology · Statistics 2026-03-11 Lara Maleyeff , Shirin Golchi , Erica E. M. Moodie

The integration of external data using Bayesian mixture priors has become a powerful approach in clinical trials, offering significant potential to improve trial efficiency. Despite their strengths in analytical tractability and practical…

Methodology · Statistics 2025-10-07 Shouhao Zhou , Qiuxin Gao , Chenqi Fu , Yanxun Xu

We propose a novel Bayesian model selection technique on linear mixed-effects models to compare multiple treatments with a control. A fully Bayesian approach is implemented to estimate the marginal inclusion probabilities that provide a…

Applications · Statistics 2015-09-28 Lei Gong , James M. Flegal , Stephen R. Spindler , Patricia L. Mote

Bayesian analysis enables combining prior knowledge with measurement data to learn model parameters. Commonly, one resorts to computing the maximum a posteriori (MAP) estimate, when only a point estimate of the parameters is of interest. We…

Machine Learning · Statistics 2024-08-08 Felix Schneider , Iason Papaioannou , Bruno Sudret , Gerhard Müller

Basket trials have emerged as a new class of efficient approaches in oncology to evaluate a new treatment in several patient subgroups simultaneously. In this paper, we extend the key ideas to disease areas outside of oncology, developing a…

Methodology · Statistics 2020-06-01 Haiyan Zheng , James M. S. Wason

Many modern experiments, such as microarray gene expression and genome-wide association studies, present the problem of estimating a large number of parallel effects. Bayesian inference is a popular approach for analyzing such data by…

Methodology · Statistics 2018-10-26 J G Liao , Arthur Berg , Timothy L McMurry

In Bayesian analysis, the posterior follows from the data and a choice of a prior and a likelihood. One hopes that the posterior is robust to reasonable variation in the choice of prior and likelihood, since this choice is made by the…

Methodology · Statistics 2015-12-09 Ryan Giordano , Tamara Broderick , Michael Jordan

Bayesian clinical trials can benefit of available historical information through the elicitation of informative prior distributions. Concerns are however often raised about the potential for prior-data conflict and the impact of Bayes test…

Methodology · Statistics 2022-12-01 Silvia Calderazzo , Annette Kopp-Schneider
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