Mixed Poisson Regression Models with Covariate Dependent Rates

This paper studies a class of Poisson mixture models that includes covariates in rates. This model contains Poisson regression and independent Poisson mixtures as special cases. Estimation methods based on the EM and quasi-Newton algorithms, properties of these estimates, a model selection procedure, residual analysis, and goodness-of-fit test are discussed. A Monte Carlo study investigates implementation and model choice issues. This methodology is used to analyze seizure frequency and Ames salmonella assay data.

Related Organizations

Nanyang Technological University
Singapore

Keywords

Models, Statistical, Mutagenicity Tests, Reproducibility of Results, Applications of statistics to biology and medical sciences; meta analysis, Time series, auto-correlation, regression, etc. in statistics (GARCH), Linear inference, regression, Seizures, Humans, Regression Analysis, Poisson Distribution, Monte Carlo Method, Algorithms

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