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Mid‐ p confidence intervals for the poisson expectation
Author(s) -
Cohen Geoffrey R.,
Yang ShuYing
Publication year - 1994
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/sim.4780132102
Subject(s) - confidence interval , statistics , poisson distribution , poisson regression , robust confidence intervals , mathematics , econometrics , medicine , population , environmental health
Conventionally a confidence interval (CI) for the standardized mortality ratio is set using the conservative CI for a Poisson expectation, μ. 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 μ. The implications for mid‐ P confidence intervals of various proposed definitions of two‐sided tests for discrete data are discussed.