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Nonparametric predictive comparison of proportions

Coolen, F.P.A.; Coolen-Schrijner, P.


P. Coolen-Schrijner


We use the lower and upper predictive probabilities from Coolen [1998. Low structure imprecise predictive inference for Bayes’ problem. Statist. Probab. Lett. 36, 349–357] to compare future numbers of successes in Bernoulli trials for different groups. We consider both pairwise and multiple comparisons. These inferences are in terms of lower and upper probabilities that the number of successes in m future trials from one group exceeds the number of successes in m future trials from another group, or such numbers from all other groups. We analyse these lower and upper probabilities via application to two data sets from the literature, and discuss the imprecision in relation to m.

Journal Article Type Article
Publication Date 2007-01
Deposit Date Apr 26, 2007
Journal Journal of Statistical Planning and Inference
Print ISSN 0378-3758
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 137
Issue 1
Pages 23-33
Keywords Bernoulli trials, Lower and upper probabilities, Multiple comparisons, Nonparametric predictive inference, Pairwise comparisons.
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