Optimal designs for the power logistic model

We investigate non-sequential designs for estimating model parameters in a power logistic model when the power is assumed to be approximately known and only the ranges for the other two parameters are available. The sensitivity of these designs to nominal values of all the three parameters are studied and our proposed optimal designs are shown to be reasonably robust under moderate deviation from the assumed model. An application to a toxicity experiment involving adult beetles is discussed, including the benefits of using an optimal design.