Minimax designs for estimating the slope of a third-order response surface in a hypercubic region

Abstract

The design criterion considered is minimization of the variance of the estimated slope of a response surface maximized over all points in the factor space. Optimal designs under the minimax criterion, within some classes of commonly used designs, are derived for third-order polynomial models over hypercubic regions.

Keywords:

• Hypercubic regions
• minimax designs
• optimal designs
• third-order models