R. L. J. Coetzer and W. W. Focke
In the mixing of fluids, a mixture may be viewed conceptually as a hypothetical collection of fluid clusters. A particular flexible form is obtained from using generalized weighted-power-means with the weighting based on global mole fractions. In this paper, we present optimal designs for estimating the parameters in the generalized weighted-power-mean mixture models, which may be nonlinear in the pure and binary interaction parameters. We illustrate the practical value of applying optimal designs for mixture variables through design efficiencies.