Citation

Van Ryzin J, Rai K. Biometrics 1987; 43(1): 95-105.

Copyright

(Copyright © 1987, Biometric Society, Publisher John Wiley and Sons)

DOI

unavailable

PMID

3567309

Abstract

This paper introduces a dose-response model for toxic quantal response data based on hit theory applied to the dose unit as transformed by a nonlinear kinetic equation. When spontaneous background response is included in the model, the resulting dose-response model has four parameters. The maximum likelihood estimators and their large-sample properties are given. Likelihood ratio tests of interest are developed, including one for whether the model is one-hit in the transformed dose and one to check whether nonlinear kinetics is operative. The use of the model for low-dose extrapolation is presented. Finally, the procedures developed are illustrated on data from three animal carcinogenicity bioassays that show, respectively, concave, linear, and convex dose-response curves in the observed data.

Language: en