Dose Response Curves for Dichotomous Data: A Bayesian View

Abstract

An application of the dose-response curve in the case of dicothomous responses according to a Bayesian point of view is presented in this paper. A dose response curve in cases of dichotomous data describes the relationship between the probability of observing an occurence and a dose level. A researcher may sometimes have some ideas of the shape of such a curve. This curve may be regarded as an “initial dose response curve.” Having observed (m_i, n_i, x_i) i = 1 … k, that is, m, events out of n, proofs at dose xi, a new curve can be obtained. This curve depends on the initial curve stated by the researcher and the data observed. This curve may be regarded as a final dose response curve. It can be obtained from the initial curve via the Bayes formula. The application will be carried out considering a logistic dose response curve.