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.
Wang
P
P
Nanyang Business School, Nanyang Technical University, Singapore 2264.
Puterman
M L
ML
Cockburn
I
I
Le
N
N
D000465:Algorithms; D006801:Humans; D015233:Models, Statistical; D009010:Monte Carlo Method; D009152:Mutagenicity Tests / Q000379:methods; D016012:Poisson Distribution; D012044:Regression Analysis; D015203:Reproducibility of Results; D012640:Seizures / Q000453:epidemiology / Q000628:therapy