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Confidence intervals for the comparison of two poisson distributions
Authors:Lisa A. Weissfeld  R. I. St. Laurent  L. H. Moulton$sup:$esup
Affiliation:1. Department of Biostatistics , University of Pittsburgh , Pittsburgh, PA 15261;2. Department of Biostatistics , University of Michigan , Ann Arbor, Ml 48109
Abstract:
Confidence interval construction the difference in mean event rates for two Index independent , Poisson samples is discussed. Intervals are derived by considering Bayes estimates of the mean event rates using a family of noninformative priors. The coverage probabilities of the proposed are compared to those of the standard Wald interval for of observed events. A compromise method of constructing interval based on the data is suggested and its properties are evaluated. The method is illustrated in several examples.
Keywords:confidence interval  noninformative prior  Poisson mean
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