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Biometrics. 2001 Sep;57(3):963-71.

On small-sample confidence intervals for parameters in discrete distributions.

Author information

1
Department of Statistics, University of Florida, Gainesville 32611-8545, USA. aa@stat.ufl.edu

Abstract

The traditional definition of a confidence interval requires the coverage probability at any value of the parameter to be at least the nominal confidence level. In constructing such intervals for parameters in discrete distributions, less conservative behavior results from inverting a single two-sided test than inverting two separate one-sided tests of half the nominal level each. We illustrate for a variety of discrete problems, including interval estimation of a binomial parameter, the difference and the ratio of two binomial parameters for independent samples, and the odds ratio.

PMID:
11550951
[Indexed for MEDLINE]

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