Efficiency Lost by Analyzing Counts Rather than Event Times in Poisson and Overdispersed Poisson Regression Models

References

• 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 .
   Web of Science ®Google Scholar
• Andrews , D. F. and Herzberg , A. M. 1985 . Data , New York : Springer-Verlag .
   Google Scholar
• Bain , L. 1978 . Statistical Analysis of Reliability and Life-Testing Models: Theory and Methods , New York : Marcel Dekker .
   Google Scholar
• Barndorff-Nielsen , O. and Cox , D. R. 1979 . “Edgeworth and Saddle-Point Approximations With Statistical Applications,” . Journal of the Royal Statistical Society , 41 : 279 – 299 . Ser. B
   Google Scholar
• Breslow , N. 1984 . “Extra-Poisson Variation in Log-Linear Models,” . Applied Statistics , 33 : 38 – 44 .
   Web of Science ®Google Scholar
• Byar , D. P. and 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 .
   PubMedGoogle Scholar
• Crowder , M. 1987 . “On Linear and Quadratic Estimating Functions,” . Biometrika , 74 : 591 – 597 .
   Web of Science ®Google Scholar
• Davidian , M. and Carroll , R. J. 1987 . “Variance Function Estimation,” . Journal of the American Statistical Association , 82 : 1079 – 81 .
   Web of Science ®Google Scholar
• Dean , C. , Lawless , J. F. and Willmot , G. E. 1989 . “A Mixed Poisson-Inverse Gaussian Regression Model,” . Canadian Journal of Statistics , 17 : 171 – 182 .
   Web of Science ®Google Scholar
• Godambe , V. P. and Thompson , M. E. 1989 . “An Extension of Quasi-Likelihood Estimation,” . Journal of Statistical Planning and Inference , 22 : 137 – 152 .
   Web of Science ®Google Scholar
• Hinde , J. “Compound Poisson Regression Models,” . GLIM 82: Proceedings of the International Conference on Generalized Linear Models . Edited by: Gilchrist , R. pp. 109 – 121 . Berlin : Springer-Verlag .
   Google Scholar
• Inagaki , N. 1973 . “Asymptotic Relations Between the Likelihood Estimating Function and the Maximum Likelihood,” . Annals of the Institute of Statistical Mathematics , 25 : 1 – 26 .
   Web of Science ®Google Scholar
• Lawless , J. F. 1987a . “Regression Methods for Point Process Data,” . Journal of the American Statistical Association , 82 : 808 – 815 .
   Web of Science ®Google Scholar
• Lawless , J. F. 1987b . “Negative Binomial Regression Models,” . Canadian Journal of Statistics , 15 : 209 – 225 .
   Web of Science ®Google Scholar
• Liang , K. Y. and Zeger , S. L. 1986 . “Longitudinal Data Analysis Using Generalized Linear Models,” . Biometrika , 73 : 13 – 22 .
   Web of Science ®Google Scholar
• Liang , K. Y. , Zeger , S. L. and Qaqish , B. 1992 . “Multivariate Regression Analyses for Categorical Data” (with discussion) . Journal of the Royal Statistical Society , 54 : 3 – 40 . Ser. B
   Google Scholar
• McCullagh , P. and Nelder , J. A. 1989 . Generalized Linear Models, , 2nd ed. , Cambridge , , U.K. : Chapman and Hall .
   Google Scholar
• Moore , D. F. 1986 . “Asymptotic Properties of Moment Estimators for Overdispersed Counts and Proportions,” . Biometrika , 73 : 583 – 588 .
   Web of Science ®Google Scholar
• Nelder , J. A. and Lee , Y. 1992 . “Likelihood, Quasi-Likelihood and Pseudolikelihood: Some Comparisons,” . Journal of the Royal Statistical Society , 54 : 273 – 284 . Ser. B
   Google Scholar
• Nelder , J. A. and Pregibon , D. 1987 . “An Extended Quasi-Likelihood Function,” . Biometrika , 74 : 221 – 232 .
   Web of Science ®Google Scholar
• Seeber , G. U. H. 1989 . “On the Regression Analysis of Tumour Recurrence Rates,” . Statistics in Medicine , 8 : 1363 – 1369 .
   PubMedGoogle Scholar
• Stukel , T. A. 1993 . “Comparison of Methods for the Analysis of Longitudinal Interval Count Data,” . Statistics in Medicine , 12 : 1339 – 1351 .
   PubMed Web of Science ®Google Scholar
• Wedderburn , R. W. M. 1974 . “Quasi-Likelihood Functions, Generalized Linear Models and the Gauss-Newton Method,” . Biometrika , 61 : 439 – 447 .
   Web of Science ®Google Scholar
• White , H. 1982 . “Maximum Likelihood Estimation of Misspecified Models,” . Econometrica , 50 : 1 – 25 .
   Web of Science ®Google Scholar
• Williams , D. A. 1982 . “Extra-Binomial Variation in Logistic Linear Models,” . Applied Statistics , 31 : 144 – 148 .
   Web of Science ®Google Scholar