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The Beta-Poisson Distribution in Wadley’s Problem

Kerry L. Leask and Linda M. Haines

Communications in Statistics - Theory and Methods, 2014, vol. 43, issue 23, 4962-4971

Abstract: In dose-response studies, Wadley’s problem occurs when the number of organisms that survive exposure to varying doses of a treatment is observed but the number initially present is unknown. The unknown number of organisms initially treated has traditionally been modelled by a Poisson distribution, resulting in a Poisson distribution for the number of survivors with parameter proportional to the probability of survival. Data in this setting are often overdispersed. This study revisits the beta-Poisson distribution and considers its effectiveness in modelling overdispersed data from a Wadley’s problem setting.

Date: 2014
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DOI: 10.1080/03610926.2012.744047

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