Influence diagnostics for two-component Poisson mixture regression models: applications in public health

In many medical and health applications, Poisson mixture regression models are commonly used to analyse heterogeneous count data. Motivated by two data sets drawn from public health studies, influence diagnostics are proposed for assessing the sensitivity of the fitted two-component Poisson mixture...

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Bibliographic Details
Main Authors: Xiang, Liming, Lee, Andy, Yau, K., Fung, W.
Format: Journal Article
Published: John Wiley and Sons 2005
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/25537
Description
Summary:In many medical and health applications, Poisson mixture regression models are commonly used to analyse heterogeneous count data. Motivated by two data sets drawn from public health studies, influence diagnostics are proposed for assessing the sensitivity of the fitted two-component Poisson mixture regression models. Under various perturbations of the observed data or model assumptions, influence assessments based on the local influence approach are developed for detecting clusters and/or individual observations that impact on the estimation of model parameters. Results from studies on recurrent urinary tract infections and maternity length of stay illustrate the usefulness of the influence diagnostics.