Mid-P confidence intervals for the Poisson expectation.
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.
Cohen
G R
GR
Department of Public Health Sciences, University of Edinburgh, Medical School, Scotland, U.K.
Yang
S Y
SY
D016001:Confidence Intervals; D015233:Models, Statistical; D009026:Mortality; D016012:Poisson Distribution; D011336:Probability