Which Response Surface Design is Best: A Performance Comparison of Several Types of Quadratic Response Surface Designs in Symmetric Regions

Abstract

The performance of a number of response surface designs for estimating a quadratic response surface model in symmetric experimerltal regions, k-spheres and hypercubes, is compared. The designs compared are composite designs, Box-Behnken designs, Uniform Shell designs, Hoke designs, Pesotchinsky designs, and Box-Draper designs. The performance criteria for the designs are their D-efficiency and their G-efficiency. All of the compared designs have high efficiencies. For large numbers of factors designs hnving higher efficiencies do exist; however, these designs have not yet been discovered.