Negative Binomial Additive Models
Article first published online: 25 MAY 2004
Volume 56, Issue 1, pages 139–144, March 2000
How to Cite
Thurston, S. W., Wand, M. P. and Wiencke, J. K. (2000), Negative Binomial Additive Models. Biometrics, 56: 139–144. doi: 10.1111/j.0006-341X.2000.00139.x
- Issue published online: 25 MAY 2004
- Article first published online: 25 MAY 2004
- Received August 1998. Revised June 1999. Accepted June 1999.
- Backfitting algorithm;
- DNA adducts;
- Generalized additive models;
- Local polynomial regression;
- Semiparametric models;
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.