| 三阶单纯形-重心设计D-最优性的注记 |
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| 引用本文： | 何清华,关颖男.三阶单纯形-重心设计D-最优性的注记[J].东北大学学报(自然科学版),1990(5). |
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| 作者姓名： | 何清华 关颖男 |
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| 作者单位： | 东北工学院数学系
(何清华)，东北工学院数学系(关颖男) |
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| 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。
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| 关 键 词： | 混料设计 单纯形-重心设计 D-最优性 |
Note on Simplex-Centroid Design of Degree 3:D-Optimality |
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| He Qinghua,Guan Yingnan.Note on Simplex-Centroid Design of Degree 3:D-Optimality[J].Journal of Northeastern University(Natural Science),1990(5). |
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| Authors: | He Qinghua Guan Yingnan |
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| Abstract: | 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. |
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| Keywords: | mixture design simplex-centroid design D-optimality |
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