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Mid-P confidence intervals for the Poisson expectation.

Authors
  • Cohen, G R
  • Yang, S Y
Type
Published Article
Journal
Statistics in medicine
Publication Date
Nov 15, 1994
Volume
13
Issue
21
Pages
2189–2203
Identifiers
PMID: 7846419
Source
Medline
License
Unknown

Abstract

Conventionally a confidence interval (CI) for the standardized mortality ratio is set using the conservative CI for a Poisson expectation, mu. Employing the mid-P argument we present alternative CIs that are shorter than the conventional ones. The mid-P intervals do not guarantee the nominal confidence level, but the true coverage probability is only lower than the nominal level for a few short ranges of mu. The implications for mid-P confidence intervals of various proposed definitions of two-sided tests for discrete data are discussed.

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