Generalized logistic models for low—dose response data
Abstract
We discuss a generalization of the logistic response function of the form Pr(y = 1|x) = {1 + exp( − θ − β'x)}−α, where α > 0. This function coincides with the usual logistic response when the shape parameter α is equal to one. We describe the use of this model for analysing cancer rates in mice for low‐dose exposure to a known carcinogen. When estimating the low‐dose responses, the errors associated with extrapolation are reduced when a priori knowledge about the rates among unexposed individuals is incorporated into the fitting procedures. Copyright © 1993 John Wiley & Sons, Ltd.
Publication Title
Statistics in Medicine
Recommended Citation
Devidas, M., George, E., & Zelterman, D. (1993). Generalized logistic models for low—dose response data. Statistics in Medicine, 12 (9), 881-892. https://doi.org/10.1002/sim.4780120907
