Optimum designs for estimating EDp based on raw optical density data

Abstract

For raw optical density (ROD) data, such as those generated in biological assays employing an ELISA plate reader, ED p -optimal designs are identified for a family of homogeneous non-linear models with two parameters. In every case, the theoretical ED p -optimal design is a design with one or two support points. These theoretical optimal designs might not be suitable for many practical applications. To overcome this shortcoming, we have specified ED p -optimal designs within the class of k-point equally spaced and uniform designs. The efficiency robustness of these designs with respect to initial nominal values of the parameters have been investigated.