Goodness of Fit Testing for Poisson Regression Models                                                 Supervisor: Tom Loughin

The real relationship from which data are drawn may not adhere to a proposed model for this structure.  Goodness-of-fit (GOF) tests help to identify when a model is a poor fit for a given dataset.  A special GOF test for logistic regression models, the Hosmer-Lemeshow test, has been extensively studied.  A parallel test for Poisson regression models has been proposed, but its performance features are not well known.  We will research the literature for past studies of a GOF test for Poisson regression test, and perform a simulation study to explore the ability of this test to identify poor-fitting models.