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Analysis of Rates Using a Generalized Poisson Regression Model
Author(s) -
Singh Karan P.,
Famoye Felix
Publication year - 1993
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710350804
Subject(s) - mathematics , statistics , poisson regression , poisson distribution , goodness of fit , regression analysis , overdispersion , generalization , count data , population , mathematical analysis , demography , sociology
In this paper a generalization of the Poisson regression model indexed by a shape parameter is proposed for the analysis of life table and follow‐up data with concomitant variables. The model is suitable for analysis of extra‐Poisson variation data. The model is used to fit the survival data given in Holford (1980). The model parameters, the hazard and survival functions are estimated by the method of maximum likelihood. The results obtained from this study seem to be comparable to those obtained by Chen (1988). Approximate tests of the dispersion and goodness‐of‐fit of the data to the model are also discussed.