Tests for the response distribution in a poisson regression model

Journal of Statistical Planning and Inference

Volumn 108, Issue 1-2, 2002, Pages 137-154

  Spinelli, John J ^a   Lockhart, Richard A ^b   Stephens, Michael A ^b  

^a BRITISH COLUMBIA CANCER AGENCY   (Canada)

^b SIMON FRASER UNIVERSITY   (Canada)

Author keywords

Cram r von Mises statistics; Discrete data; Generalized linear model; Goodness of fit; Poisson regression

Indexed keywords

EID: 0036840298     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-3758(02)00275-6     Document Type: Article

References (13)

1. Bishop, Y.M., Fienberg, S.E., Holland, P.W., 1975. Discrete Multivariate Analysis. MIT Press, Cambridge.
2. Collings, B.J., Margolin, B.H., 1985. Testing goodness-of-fit for the Poisson assumption when observations are not identically distributed. J. Amer. Statist. Assoc. 80 (390), 411-418.
3. Dean, C., 1992. Testing for overdispersion in Poisson and binomial regression models. J. Amer. Statist. Assoc. 87 (418), 451-457.
4. Dean, C., Lawless, J.F., 1989. Tests for detecting overdispersion in Poisson regression models. J. Amer. Statist. Assoc. 84 (406), 467-472.
5. Durbin, J., 1973. Distribution Theory for Tests based on the Sample Distribution Function. SIAM, Philadelphia.
6. Imhof, J.P., 1961. Computing the distribution of quadratic forms in normal variables. Biometrika 48, 419-426.
7. Loynes, R.M., 1980. The empirical distribution function of residuals from generalized regression. Ann. Statist. 8, 285-298.
8. McCullagh, P., Nelder, J., 1989. Generalized Linear Models, 2nd Edition. Chapman & Hall, London.
9. Shorack, G.R., Wellner, J.A., 1986. Empirical Processes with Applications to Statistics. Wiley, New York.
10. Spinelli, J.J., 1994. Cramér-von Mises statistics for discrete distributions. Ph.D. Thesis, Department of Mathematics and Statistics, Simon Fraser University, Burnaby, British Columbia.
11. Spinelli, J.J., Stephens, M.A., 1997. Cramér-von Mises tests of fit for the Poisson distribution. Canadian J. Statist. 25, 257-268.
12. Spinelli, J.J., Band, P.R., Svirchev, L.M., Gallagher, R.P., 1991. Mortality and cancer incidence in aluminum reduction plant workers. J. Occup. Med. 33, 1150-1155.
13. Stephens, M.A., 1986. Tests based on EDF statistics. In: d'Agostino, R.B., Stephens, M.A. (Eds.), Goodness of Fit Techniques. Marcel Dekker, New York. (Chapter 4)