A Bayesian analysis of the slope ratio bioassay

The analysis of biological assays has received the attention of statisticians for many years. However, when an indirect assay is considered and a continuous response variable is measured, the standard models lead to the problem of estimating a ratio, which has proved to be rather controversial if the statistical analysis is conducted under the classical approach. In this paper, within the Bayesian framework, the reference posterior distribution of slope ratio is obtained. This is the parameter of interest in a large class of biological assays. The results obtained are provided to avoid the drawbacks of the classical methods and generalize previous Bayesian analysis of the ratio of normal means.