摘要
对一般的q—1维正规单纯形利益区域上多重线性多项式模型,在Atwood结论的基础上,利用n阶多项式根分布的一种特性,很简单地证明了Uranishi的结论:三阶单纯形-重心设计是D-最优的。
Based on Atwood's conclusion and using one of the properties of root distribution of degree n polynomial, Uranishi's conclusion may be proved easily for the general multilinear polynomial models at simplicial regular (q-1)-dimen-sional interest regions, i.e., the simplex-centroid design of degree 3 is of D-optimality.
关键词
混料设计
单形重心设计
D-最优性
mixture design, simplex-centroid design, D-optimality.
