- Title
- Were Clopper & Pearson (1934) too careful?
- Creator
- Tuyl, Frank
- Relation
- 4th Applied Statistics Education and Research Collaboration (ASEARC) Conference. Proceedings of the 4th Applied Statistics Education and Research Collaboration (ASEARC) Conference (Parramatta, NSW 17-18 February, 2011) p. 35-38
- Relation
- http://eis.uow.edu.au/asearc/4thAnnResCon/index.html
- Publisher
- University of Wollongong
- Resource Type
- conference paper
- Date
- 2011
- Description
- The ‘exact’ interval due to Clopper & Pearson (1934) is often considered to be the gold standard for estimating the binomial parameter. However, for practical purposes it is also often considered to be too conservative, when mean rather than minimum coverage close to nominal could be more appropriate. It is argued that (1) Clopper & Pearson themselves changed between these two criteria, (2) ‘approximate’ intervals are preferable to ‘exact’ intervals, and (3) approximate intervals are well represented by Bayesian intervals based on a uniform prior.
- Subject
- exact inference; confidence interval; binomial distribution; Jeffreys prior; Bayes-Laplace prior
- Identifier
- http://hdl.handle.net/1959.13/1051671
- Identifier
- uon:15306
- Identifier
- ISBN:9781741281958
- Language
- eng
- Full Text
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