The quantal response analysis of a series of biological assays on the same subjects

This paper deals with some problems associated with the analysis of the results of a series of separate biological assays on the same group of subjects, the reaction of the individual organism to the applied stimulus being assumed to be non-reversible. A brief description is given of the methods applied in the analysis of the results of single assays both for single poisons and for mixtures of poisons, with particular reference to the effect of errors of measurement of the observed quantal response. These methods are extended to cover a series of two or more assays, first, under conditions in which the response is measured without error, and secondly, when the response measurement is subject to error. The application of the proposed procedures is illustrated by an example from the field of research in industrial medicine.