This paper develops a simple statistical model, the weighted hazard model, which incorporates the toxicological idea of DNA repair and its role in chemical carcinogenesis. We restrict attention to a small segment of DNA that migrates in and out of the high risk states; it is shown that random hazard functions play an important role in the distributional properties of the time to first detectable tumor. Included in the many shapes of the weighted hazard model is one that has a shape in the low dose region similar to that of the probit model, a model that many toxicologists favor. The analyses of two data sets are presented and interpreted, and suggestions for further research are given.
ASJC Scopus subject areas
- Statistics and Probability
- Modeling and Simulation
- Biochemistry, Genetics and Molecular Biology(all)
- Immunology and Microbiology(all)
- Agricultural and Biological Sciences(all)
- Applied Mathematics