Category: Bayesian statistics (created 2007-05-30). In Bayesian
statistics, the researcher specifies a probability distribution prior to the
start of the experiment that represents his/her degree of belief about the
possible values of a process being studied. After data is collected, the
Bayesian analysis produces a posterior distribution that combines
information from data with information from the prior distribution.
Articles are arranged by date with the most recent entries at the top. You
can find outside resources at the bottom of
this page. Other entries about Bayesian statistics can be found in the
Bayesian statistics page at the
StATS website.
2008
- P.Mean: What does the FDA think about
Bayesian statistics (created 2008-07-08). The FDA is, in general, a
cautious agency (as it should be), but they are allowing newer approaches for
establishing efficacy and safety of new drugs. Many of these new approaches
involve Bayesian methods. A draft guidance "Guidance for the Use of Bayesian
Statistics in Medical Device Clinical Trials - Draft Guidance for Industry
and FDA Staff" is available in HTML format or PDF format.
- P.Mean: Distrust of a Bayesian
meta-analysis (created 2008-07-01). A regular correspondent on the
evidence based health email discussion group (BA) raised some questions about
the use of a Bayesian hierarchical model in a meta-analysis. He was worried
about whether this approach would be appropriate for this type of data.
Outside resources:
- Bayesian Models for Gene Expression With DNA Microarray. Joseph G.
Ibrahim, Ming-Hui Chen, Robert J. Gray. J American Statistical Association
2002: 97(457); 88-99.
[PDF].
Description: This article presents a Bayesian selection criteria for
identifying a small set of genes that can distinguish between different types
of tissue.
- Decision theoretic designs for Phase II clinical trials with multiple
outcomes. Nigel Stallard. Biometrics 1999: 55; 971-77.
[Medline]. Description: This article provides a Bayesian approach to
handling multiple comparisons in a trial where with multiple safety and
efficacy endpoints.
- Empirical-Bayes adjustments for multiple comparisons are sometimes
useful. S. Greenland, J. M. Robins. Epidemiology 1991: 2(4); 244-51.
Description: This article proposes situations where adjustments for multiple
comparisons are appropriate. The authors offer Empirical-Bayes and fully
Bayesian approaches and describe their advantages over the traditional
Bonferroni approach.
-
Overview of Computer Intensive Statistical Inference Procedures (P. Adam
Kelly). Description: This page provides a nice overview of the
permutation test, randomization test, Monte Carlo estimation, bootstrapping,
the jackknife, and Markov Chain Monte Carlo methods. This website was last
verified on 2007-08-31. www.hsrd.houston.med.va.gov/AdamKelly/resampling.html
All of the material above this paragraph is licensed under a
Creative Commons Attribution 3.0 United States License. This page was written by
Steve Simon and was last modified on
2008-11-25. The material
below this paragraph links to
my old website, StATS. Although I wrote all of the material
listed below, my ex-employer, Children's Mercy Hospital, has claimed copyright
ownership of this material. The brief excerpts shown here are included under
the fair use provisions of U.S. Copyright laws.
2008
[[Links to old material were accidentally deleted. I'll fix this soon.]]
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