Goodness-of-Fit and Sufficiency: Exact and Approximate Tests

@article{Stephens2012GoodnessofFitAS,
  title={Goodness-of-Fit and Sufficiency: Exact and Approximate Tests},
  author={M. A. Stephens},
  journal={Methodology and Computing in Applied Probability},
  year={2012},
  volume={14},
  pages={785-791}
}
A procedure to test fit to a distribution where a minimal sufficient statistic is available, is discussed for testing the Poisson distribution. The test is exact, and is compared with a simpler approximate test. A remarkable correlation between the p-values given by the exact and the approximate procedures is found, and shows the power of the computer over and above what is usually acknowledged.