Minimax Second- and Third-Order Designs to Estimate the Slope of a Response Surface
研究了在因子空间所有点上最大化估计斜率方差的最小化问题，为球形区域上的二阶和三阶多项式回归导出了极小化极大准则下的最优设计。
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.