On comparing binomial probabilities from a bayesian viewpoint
- 1 January 1975
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics
- Vol. 4 (10) , 975-985
- https://doi.org/10.1080/03610927508827306
Abstract
A usable procedure is presented which orders binomial probabilities. An essentially Bayesian approach to the multiple comparisons problem is applied to the binomial model, and the exact nature of the orderings is given. This approach allows the utilization of prior information (in the form of beta densities) on the individual probabilities, possibly unequal sample sizes, and both constant and linear loss functions.Keywords
This publication has 3 references indexed in Scilit:
- A Bayesian Approach to the Problem of Ranking Binomial ProbabilitiesSIAM Journal on Applied Mathematics, 1968
- A Bayesian Approach to Multiple ComparisonsTechnometrics, 1965
- Bayes Rules for a Common Multiple Comparisons Problem and Related Student- $t$ ProblemsThe Annals of Mathematical Statistics, 1961