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A Poisson-Gamma model for analysis of ecological non-negative continuous data
journal contribution
posted on 2023-05-19, 08:22 authored by Scott FosterScott Foster, Bravington, MVThe statistical analysis of continuous data that is non-negative is a common task in quantitative ecology. An example, and our motivation, is the weight of a given fish species in a fish trawl. The analysis task is complicated by the occurrence of exactly zero observations. It makes many statistical methods for continuous data inappropriate. In this paper we propose a model that extends a Tweedie generalised linear model. The proposed model exploits the fact that a Tweedie distribution is equivalent to the distribution obtained by summing a Poisson number of gamma random variables. In the proposed model, both the number of gamma variates, and their average size, are modelled separately. The model has a composite link and has a flexible mean-variance relationship that can vary with covariates. We illustrate the model, and compare it to other models, using data from a fish trawl survey in south-east Australia.
History
Publication title
Environmental and Ecological StatisticsVolume
20Issue
4Pagination
533-552ISSN
1352-8505Department/School
Institute for Marine and Antarctic StudiesPublisher
Kluwer Academic PublPlace of publication
Van Godewijckstraat 30, Dordrecht, Netherlands, 3311 GzRights statement
© Springer Science+Business Media New York 2012Repository Status
- Restricted