Minimax second- and third-order designs to estimate the slope of a response surface
估计响应面斜率的二阶与三阶极小极大设计
Designs for estimating the slope of a response surface are considered. Minimization of the variance of the estimated slope maximized over all points in the factor space is taken as the optimality criterion. Optimal designs under the minimax criterion are derived for second- and third-order polynomial regression over spherical regions.