Bootstrapping Goodness of Fit Statistics in Loglinear Poisson Models

The possible discrepancy between a hypothesized model and the observed data is measured by so called Goodness of Fit Statistics. In order to decide whether the observed discrepancy is substantial, the distributions of these statistics under the hypothesised model are needed to perform a statistical test. Because of the diiculty to compute the exact distributions, just when the sample size is small, better approximations than provided by common asymptotic theory have to be found. In the case of a loglinear Poisson model we will do that by diierent bootstrap methods.