Models for zero-inflated count data using the Neyman type A distribution
Models for zero-inflated count data using the Neyman type A distribution
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
contagious distributions, covariate adjustment, Neyman type A distribution, non-nested hypothesis, parameterization, zero-inflated counts
65-80
Dobbie, M.J.
0c5ae8f3-1508-4098-a22e-a4d3c1f681eb
Welsh, A.H.
27640871-afff-4d45-a191-8a72abee4c1a
2001
Dobbie, M.J.
0c5ae8f3-1508-4098-a22e-a4d3c1f681eb
Welsh, A.H.
27640871-afff-4d45-a191-8a72abee4c1a
Dobbie, M.J. and Welsh, A.H.
(2001)
Models for zero-inflated count data using the Neyman type A distribution.
Statistical Modelling, 1 (11), .
Abstract
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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Published date: 2001
Keywords:
contagious distributions, covariate adjustment, Neyman type A distribution, non-nested hypothesis, parameterization, zero-inflated counts
Organisations:
Statistics
Identifiers
Local EPrints ID: 29932
URI: http://eprints.soton.ac.uk/id/eprint/29932
ISSN: 1471-082X
PURE UUID: 35df48d8-1a17-4c47-8090-dc016306dde8
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Date deposited: 11 May 2006
Last modified: 08 Jan 2022 18:56
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Contributors
Author:
M.J. Dobbie
Author:
A.H. Welsh
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