Comparison of Prediction Capabilities of Partially Replicated Central Composite Designs in Cuboidal Region

Abstract

Three variations of partially replicated central composite designs have been compared. Their prediction capabilities with respect to their prediction variances are assessed using variance dispersion graphs in cuboidal region when the axial distance is α = 1. The results show that for n0 = 1, 2, and 3 center points, the replicated star designs have better prediction potentials than the replicated cube designs when interest is in predicting responses in the face-centered cube. The face-centered cube is the second-order central composite design with axial distance, α = 1.