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.
机构:
Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China
Peking Univ, Ctr Stat Sci, Beijing 100871, Peoples R ChinaPeking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China
Ai, Mingyao
Ye, Zhiqiang
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机构:
Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China
Peking Univ, Ctr Stat Sci, Beijing 100871, Peoples R ChinaPeking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China
Ye, Zhiqiang
Yu, Jun
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h-index: 0
机构:
Beijing Inst Technol, Sch Math & Stat, Beijing 100811, Peoples R ChinaPeking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China
机构:
Univ Burdwan, Dept Stat, Burdwan 713104, W Bengal, IndiaPenn State Univ, Dept Stat, University Pk, PA 16802 USA
Das, Rabindra Nath
Lin, Dennis Kj.
论文数: 0引用数: 0
h-index: 0
机构:
Penn State Univ, Dept Stat, University Pk, PA 16802 USA
Renmin Univ, Sch Stat, Beijing, Peoples R ChinaPenn State Univ, Dept Stat, University Pk, PA 16802 USA
机构:
Comenius Univ, Dept Appl Math & Stat, Fac Math Phys & Informat, Bratislava 84248, SlovakiaComenius Univ, Dept Appl Math & Stat, Fac Math Phys & Informat, Bratislava 84248, Slovakia