A zero-inflated and overdispersed marginalized model for correlated Poisson data

Abstract

Iddi and Molenberghs (2012) merged the attractive features of the so-called combined model of Molenberghs et al (2010) and the marginalized model of Heagerty (1999) for hierarchical non-Gaussian data with overdispersion. In this model, the fixed-effect parameters retain their marginal interpretation. Lee et al (2011) also developed an extension of Heagerty (1999) to handle zero-inflation from count data, using the hurdle model. To bring together all of these features, a marginalized, zero-inflated, overdispersed model for correlated count data is proposed. Using an empirical dataset, it is shown that the proposed model leads to important improvements in model fit.