D-OPTIMAL DESIGNS OF EXPERIMENTS WITH NONINTERACTING FACTORS

被引:11
作者
SCHWABE, R [1 ]
WIERICH, W [1 ]
机构
[1] FREE UNIV BERLIN,INST MATH 1,D-14195 BERLIN,GERMANY
关键词
LINEAR MODEL; ADDITIVE EFFECTS; DISCRETE AND CONTINUOUS FACTORS; MARGINAL MODEL; PRODUCT DESIGN; D-OPTIMALITY; MARGINAL DESIGN;
D O I
10.1016/0378-3758(94)00052-W
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In this paper a general result is presented on the D-optimality of product designs for experiments with non-interacting factors. In particular, D-optimal designs can be constructed as a product of those designs which are D-optimal in the corresponding single-factor models. Results are obtained for the whole parameter vector and for the parameters associated with single factors.
引用
收藏
页码:371 / 384
页数:14
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