ABSTRACT
This chapter discusses the classical area of dose-response analysis, which owes much to the seminal work by D. J. Finney as well as later contributions by B. J. T. Morgan among others. The total number of binary responses per concentration or dose is decided upon as part of the experimental design and, it is known in advance, prior to observing the responses. A plot of the original data and the fitted dose-response curve can give a visual impression of how well the model fits the data, and with such a small dataset it is possibly the only reasonable means of assessing the model. In the past, re-scaling of the response, which is referred to as applying Abbott’s correction or formula, has been a convenient, but an inappropriate way to deal with natural mortality. The main interest lies in comparing treatments in terms of some features of the dose-response curves, which may be captured by model parameters such as LD50 values.
