Default Bayes Factors for Testing the Equality of Poisson Population Means

  • Published : 2000.08.01

Abstract

Default Bayes factors are computed to test the equality of one Poisson population mean and the equality of two independent Possion population means. As default priors are assumed Jeffreys priors, noninformative improper priors, and default Bayes factors such as three intrinsic Bayes factors of Berger and Pericchi(1996, 1998), the arithmetic, the median, and the geometric intrinsic Bayes factor, and the factional Bayes factor of O'Hagan(1995) are computed. The testing results by each default Bayes factor are compared with those by the classical method in the simulation study.

Keywords

References

  1. Journal of the American Statistical Association v.91 The Intrinsic Bayes Factor for Model Selection and Prediction Berger,J.O.;Pericchi,L.R.
  2. Sankhya, B v.60 Accurate and Stable Bayesian Model Selection: The Median Intrinsic Bayes Factor Berger,J.O.;Pericchi,L.R.
  3. Journal of the American Statistical Association v.82 Testing a Point Null Hypothesis: The Irreconcilability of P Values and Evidence Berger,J.O.;Sellke,T.
  4. Introduction to Statistical Quality Control Montgomery,D.C.
  5. Journal of Royal Statistical Society, B v.57 no.1 Fractional Bayes Factors for Model Comparsion O'Hagan,A.