TY - JOUR
T1 - Introduction to Bayesian methods II
T2 - Fundamental concepts
AU - Louis, Thomas A.
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2005
Y1 - 2005
N2 - The use of Bayesian design and analysis is burgeoning. In this introduction to Bayesian methods, we provide basic examples of Bayesian thinking and formalism on which more complicated and comprehensive approaches are built. These include adjusting estimates using related information, the use of Bayes theorem in diagnostic testing, the relationship of the prior and posterior distributions for situations where both the data and prior distribution are Gaussian, and the key steps in a Bayesian analysis. If Bayesian methods are carefully developed and applied, they have excellent objective (i.e., frequentist) properties, providing marvelous tools to help improve the FDA regulatory process.
AB - The use of Bayesian design and analysis is burgeoning. In this introduction to Bayesian methods, we provide basic examples of Bayesian thinking and formalism on which more complicated and comprehensive approaches are built. These include adjusting estimates using related information, the use of Bayes theorem in diagnostic testing, the relationship of the prior and posterior distributions for situations where both the data and prior distribution are Gaussian, and the key steps in a Bayesian analysis. If Bayesian methods are carefully developed and applied, they have excellent objective (i.e., frequentist) properties, providing marvelous tools to help improve the FDA regulatory process.
UR - http://www.scopus.com/inward/record.url?scp=24944556710&partnerID=8YFLogxK
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U2 - 10.1191/1740774505cn099oa
DO - 10.1191/1740774505cn099oa
M3 - Article
C2 - 16281427
AN - SCOPUS:24944556710
SN - 1740-7745
VL - 2
SP - 291
EP - 294
JO - Clinical Trials
JF - Clinical Trials
IS - 4
ER -