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The Beta-Poisson Distribution in Wadley’s Problem

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  • Kerry L. Leask
  • Linda M. Haines

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.

Suggested Citation

  • Kerry L. Leask & Linda M. Haines, 2014. "The Beta-Poisson Distribution in Wadley’s Problem," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 43(23), pages 4962-4971, December.
    • Handle: RePEc:taf:lstaxx:v:43:y:2014:i:23:p:4962-4971
    DOI: 10.1080/03610926.2012.744047
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