Score Tests for Overdispersion

  • Kim, Choong-Rak (Department of Statistics, Pusan National University, Pusan 609-735) ;
  • Jeong, Mee-Seon (Department of Statistics, Pusan National University, Pusan 609-735) ;
  • Yang, Mee-Yeong (Department of Statistics, Pusan National University, Pusan 609-735)
  • Published : 1994.06.01

Abstract

Count data are often overdispersed, and an appropriate test for the existence of the overdispersion is necessary. In this paper we derive a score test based on the extended quasi-likelihood and the pseudolikelihood after adjusting to the Bartlett factor. Also, we compare it with Levene (1960)'s F-type test suggested by Ganio and Schafer (1992).

Keywords

References

  1. Journal of the American Statistical Association v.85 Tests of hypotheses in overdispersed Poisson regression and other quasi-likelihood models Breslow,N.E.
  2. The Annals of Statistics v.10 Robust estimation in heteroscedastic linear models Carroll,R.J.;Ruppert,D.
  3. Transformations and Weighting in Regression Carroll,R.J.;Ruppert,D.
  4. Biometrika v.70 Some remarks on over-dispersion Cox,D.R.
  5. Journal of the American Statistical Association v.82 Double exponential families and their use in generalized linear regression Efron,B.
  6. Biometrika v.74 On the efficiency of quasi-likelhood estimation Firth,D.
  7. Journal of the American Statistical Association v.87 Diagnostics for overdispersion Ganio,L.M.;Schafer,D.W.
  8. Applied Statistics v.37 Calculating the efficiency of maximum quasi-likelihood estimation Hill,J.R.;Tsai,C.
  9. Journal of the Korean Statistical Society v.21 Extended quasi-likelihood estimation in overdispersed models Kim,C.;Lee,K.;Chung,Y.;Choi,K.
  10. The Korean Journal of Applied Statistics Adjustments of dispersion statistics in extended quasi-likelihood models Kim,C.;Jeong,M.
  11. Contributions to Probability and Statistics Robust tests for equality of variances Levene,H.
  12. Generalized Linear Models(2nd ed.) McCullagh,P.;Nelder,J.A.
  13. Biometrika v.74 An extended quasi-likelihood function Nelder,J.A.;Pregibon,D.
  14. Applied Statistics v.31 Extra-binomial variation in logistic linear models Williams,D.A.