The power prior: theory and applications

JG Ibrahim, MH Chen, Y Gwon, F Chen - Statistics in medicine, 2015 - Wiley Online Library
The power prior has been widely used in many applications covering a large number of
disciplines. The power prior is intended to be an informative prior constructed from historical …

[图书][B] Bayesian biostatistics

E Lesaffre, AB Lawson - 2012 - books.google.com
The growth of biostatistics has been phenomenal in recent years and has been marked by
considerable technical innovation in both methodology and computational practicality. One …

Hierarchical commensurate and power prior models for adaptive incorporation of historical information in clinical trials

BP Hobbs, BP Carlin, SJ Mandrekar, DJ Sargent - Biometrics, 2011 - academic.oup.com
Bayesian clinical trial designs offer the possibility of a substantially reduced sample size,
increased statistical power, and reductions in cost and ethical hazard. However when prior …

Evaluating water quality using power priors to incorporate historical information

Y Duan, K Ye, EP Smith - Environmetrics: The Official Journal of …, 2006 - Wiley Online Library
To assess water quality standards, measurements of water quality under the Clean Water
Act are collected on a regular basis over a period of time. The data are analyzed to evaluate …

Adaptive power priors with empirical Bayes for clinical trials

I Gravestock, L Held… - Pharmaceutical …, 2017 - Wiley Online Library
Incorporating historical information into the design and analysis of a new clinical trial has
been the subject of much discussion as a way to increase the feasibility of trials in situations …

Information measures in perspective

N Ebrahimi, ES Soofi, R Soyer - International Statistical Review, 2010 - Wiley Online Library
Information‐theoretic methodologies are increasingly being used in various disciplines.
Frequently an information measure is adapted for a problem, yet the perspective of …

Elastic priors to dynamically borrow information from historical data in clinical trials

L Jiang, L Nie, Y Yuan - Biometrics, 2023 - Wiley Online Library
Use of historical data and real‐world evidence holds great potential to improve the efficiency
of clinical trials. One major challenge is to effectively borrow information from historical data …

SAM: Self-adapting mixture prior to dynamically borrow information from historical data in clinical trials

P Yang, Y Zhao, L Nie, J Vallejo, Y Yuan - Biometrics, 2023 - academic.oup.com
Mixture priors provide an intuitive way to incorporate historical data while accounting for
potential prior-data conflict by combining an informative prior with a noninformative prior …

The relationship between the power prior and hierarchical models

MH Chen, JG Ibrahim - 2006 - projecteuclid.org
The power prior has emerged as a useful informative prior for the incorporation of historical
data in a Bayesian analysis. Viewing hierarchical modeling as the" gold standard" for …

A calibrated power prior approach to borrow information from historical data with application to biosimilar clinical trials

H Pan, Y Yuan, J Xia - Journal of the Royal Statistical Society …, 2017 - academic.oup.com
A biosimilar product refers to a follow-on biologic that is intended to be approved for
marketing on the basis of biosimilarity to an existing patented biological product (ie the …