Efficiency lost by analyzing counts rather than event times in poisson and overdispersed poisson regression models

Journal of the American Statistical Association

Volumn 92, Issue 440, 1997, Pages 1387-1398

  Dean, C B ^a   Balshaw, R ^a  

^a SIMON FRASER UNIVERSITY   (Canada)

Author keywords

Clinical trial; Estimating equation; Negative binomial regression; Quasi likelihood; Random effect; Recurrent event; Unobserved heterogeneity

Indexed keywords

EID: 0031313272     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1997.10473659     Document Type: Article

References (25)

1. Andersen, P. K., and Gill, R. D.(1982), "Cox's Regression Model for Counting Processes: A Large Sample Study,"The Annals of Statistics,10, 1100-1120.
2. Andrews, D. F., and Herzberg, A. M.(1985), Data, New York: SpringerVerlag.
3. Bain, L.(1978), Statistical Analysis of Reliability and Life-Testing Models: Theory and Methods, Vol. 24, New York: Marcel Dekker.
4. Bamdorff-Nielsen, O., and Cox, D.R. (1979), "Edgeworth and SaddlePoint Approximations With Statistical Applications," Journal of the Royal Statistical Society, Ser. B, 41, 279-299.
5. Breslow, N. (1984), "Extra-Poisson Variation in Log-Linear Models," Applied Statistics, 33, 38.
6. Byar, D. P., Blackard, C; and the Veterans Administration Co-operative Urological Research Group(1977), "Comparisons of Placebo, Pyridoxine and Topical Thiotepa in Preventing Recurrence of Stage I Bladder Cancer,"Urology, 10, 556-561.
7. Crowder, M.(1987), "On Linear and Quadratic Estimating Functions,"Biometrika, 74, 591-597.
8. Davidian, M., and Carroll, R. J.(1987), "Variance Function Estimation,"Journal of the American Statistical Association, 82, 1079-81.
9. Dean, c., Lawless, J. F., and Willmot, G. E.(1989), "A Mixed PoissonInverse Gaussian Regression Model,"Canadian Journal of Statistics, 17,171-182.
10. Godambe, V. P., and Thompson, M. E.(1989), "An Extension of QuasiLikelihood Estimation,"Journal of Statistical Planning and Inference,22, 137-152.
11. Hinde, J.(1982), "Compound Poisson Regression Models," in GUM 82: Proceedings of the International Conference on Generalized Linear Models, ed. R. Gilchrist, Berlin: Springer-Verlag, pp. 109-121.
12. Inagaki, N.(1973), "Asymptotic Relations Between the Likelihood Esti- mating Function and the Maximum Likelihood,"Annals of the Institute of Statistical Mathematics, 25, 1-26.
13. Lawless, J. F. (1987a), "Regression Methods for Point Process Data,"Journal of the American Statistical Association, 82, 808-815.
14. Lawless, J. F. (1987b), "Negative Binomial Regression Models,"Canadian Journal of Statistics, 15, 209-225.
15. Liang, K. Y., and Zeger, S. L.(1986), "Longitudinal Data Analysis Using Generalized Linear Models,"Biometrika, 73, 13-22.
16. Liang, K. Y., Zeger, S. L., and Qaqish, B.(1992), "Multivariate Regression Analyses for Categorical Data"(with discussion), Journal of the Royal Statistical Society, SeT. B, 54, 3-40.
17. McCullagh, P., and Neider, J. A.(1989), Generalized Linear Models (2nd ed.), Cambridge, U.K.: Chapman and Hall.
18. Moore, D. F.(1986), "Asymptotic Properties of Moment Estimators for Overdispersed Counts and Proportions,"Biometrika, 73, 583-588.
19. Neider, J. A., and Lee, Y.(1992), "Likelihood, Quasi-Likelihood and Pseudolikelihood: Some Comparisons,"Journal of the Royal Statistical Society, Ser. B, 54, 273-284.
20. Neider, J. A., and Pregibon, D.(1987), "An Extended Quasi-Likelihood Function,"Biometrika, 74, 221-232.
21. Seeber, G. U. H.(1989), "On the Regression Analysis of Tumour Recurrence Rates,"Statistics in Medicine, 8, 1363-1369.
22. Stukel, T. A.(1993), "Comparison of Methods for the Analysis of Longitudinal Interval Count Data,"Statistics in Medicine, 12, 1339-1351.
23. Wedderburn, R. W. M.(1974), "Quasi-Likelihood Functions, Generalized Linear Models and the Gauss-Newton Method,"Biometrika, 61, 439-447.
24. White, H.(1982), "Maximum Likelihood Estimation of Misspecified Models,"Econometrica, 50, 1-25.
25. Williams, D. A.(1982), "Extra-Binomial Variation in Logistic Linear Models,"Applied Statistics, 31, 144-148.