Dobbie, M.J. and Welsh, A.H.
Models for zero-inflated count data using the Neyman type A distribution
Statistical Modelling, 1, (11), .
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We explore the possibility of modelling zero-inflated count data using the Neyman type A distribution. We extend three parameterisations of the Neyman type A distribution to allow their parameters to depend on covariates. We develop models which relate counts of Leadbeater's possums to various habitat variables to illustrate the methodology. Half-normal plots (Vieira et al, 2000) are constructed for each model to explore the quality fo the fit. We then formally compare the Neyman type A models using the method of Cox (1961, 1962) to test nonnested hypotheses. Finally we compare each of the Neyman type A models with a model from a competing family, the conditional Poisson model
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