# Multi-level zero-inflated Poisson regression modelling of correlated count data with excess zeros

Lee, AH, Wang, K, Scott, JA, Yau, KKW and McLachlan, GJ (2006) Multi-level zero-inflated Poisson regression modelling of correlated count data with excess zeros. Statistical Methods In Medical Research, 15 1: 47-61. doi:10.1191/0962280206sm429oa

Author Lee, AHWang, KScott, JAYau, KKWMcLachlan, GJ Multi-level zero-inflated Poisson regression modelling of correlated count data with excess zeros Statistical Methods In Medical Research   Check publisher's open access policy 0962-2802 2006 Article (original research) 10.1191/0962280206sm429oa 15 1 47 61 15 Brian Everitt London Hodder Arnold, Hodder Headline Plc 2006 eng C1230204 Applied Statistics230203 Statistical Theory780101 Mathematical sciences0104 Statistics Count data with excess zeros relative to a Poisson distribution are common in many biomedical applications. A popular approach to the analysis of such data is to use a zero-inflated Poisson (ZIP) regression model. Often, because of the hierarchical Study design or the data collection procedure, zero-inflation and lack of independence may occur simultaneously, which tender the standard ZIP model inadequate. To account for the preponderance of zero counts and the inherent correlation of observations, a class of multi-level ZIP regression model with random effects is presented. Model fitting is facilitated using an expectation-maximization algorithm, whereas variance components are estimated via residual maximum likelihood estimating equations. A score test for zero-inflation is also presented. The multi-level ZIP model is then generalized to cope with a more complex correlation structure. Application to the analysis of correlated count data from a longitudinal infant feeding study illustrates the usefulness of the approach. Statistics & ProbabilityHealth Care Sciences & ServicesMedical InformaticsLongitudinal DataScore TestsMixed-modelAustraliaDurationMathematical & Computational Biology C1

 Document type: Journal Article Article (original research) Excellence in Research Australia (ERA) - Collection 2007 Higher Education Research Data Collection Institute for Molecular Bioscience - Publications

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