Score tests for heterogeneity and overdispersion in zero‐inflated Poisson and binomial regression models

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Zero-inflated generalized Poisson models with regression effects on the mean, dispersion and zero-inflation level applied to patent outsourcing rates (2007, unknown): “As an Associate Editor pointed out, it is possible to apply a zero-inflated binomial mixed model to the patent data (see, for example, Hall and Berenhaut, 2002).”
Marginal models for zero inflated clustered data (2004, methodology): “A score test of overdispersion relative to the ZIP model was given by Ridout et al. (2001) and Hall and Berenhaut (2002) .”
On the bivariate negative binomial regression model (2010, background): “Others, including Dean [10], Lin [25], and Hall and Berenhaut [15] found that a score test performs poorly when the sample sizes are small unless a bias correction is performed.”