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Negative Binomial Additive Models
Author(s) -
Thurston Sally W.,
Wand M. P.,
Wiencke John K.
Publication year - 2000
Publication title -
biometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.298
H-Index - 130
eISSN - 1541-0420
pISSN - 0006-341X
DOI - 10.1111/j.0006-341x.2000.00139.x
Subject(s) - negative binomial distribution , covariate , exponential family , mathematics , binomial (polynomial) , multinomial distribution , count data , statistics , extension (predicate logic) , parametric statistics , exponential function , econometrics , computer science , poisson distribution , programming language , mathematical analysis
Summary. The generalized additive model is extended to handle negative binomial responses. The extension is complicated by the fact that the negative binomial distribution has two parameters and is not in the exponential family. The methodology is applied to data involving DNA adduct counts and smoking variables among ex‐smokers with lung cancer. A more detailed investigation is made of the parametric relationship between the number of adducts and years since quitting while retaining a smooth relationship between adducts and the other covariates.