Nonparametric predictive comparison of proportions

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

doi:10.1016/j.jspi.2005.11.008

Nonparametric predictive comparison of proportions

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

Authors

Professor Frank Coolen frank.coolen@durham.ac.uk
Professor

P. Coolen-Schrijner

Abstract

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.

Citation

Coolen, F., & Coolen-Schrijner, P. (2007). Nonparametric predictive comparison of proportions. Journal of Statistical Planning and Inference, 137(1), 23-33. https://doi.org/10.1016/j.jspi.2005.11.008

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
DOI	https://doi.org/10.1016/j.jspi.2005.11.008
Keywords	Bernoulli trials, Lower and upper probabilities, Multiple comparisons, Nonparametric predictive inference, Pairwise comparisons.