Recent developments in D-optimal designs

被引:2
|
作者
Ceranka, B. [1 ]
Graczyk, M. [1 ]
机构
[1] Poznan Univ Life Sci, Dept Math & Stat Methods, Wojska Polskiego 28, PL-60637 Poznan, Poland
关键词
Balanced incomplete block design; D-efficiency; D-optimality; Partially balanced incomplete block design; Spring balance weighing design; OPTIMAL WEIGHING DESIGNS; J-SIMPLICES;
D O I
10.1080/03610926.2018.1433851
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 the paper, some issues concerned with the determining spring balance weighing designs satisfying the criterion of D-optimality under the assumption measurement errors are uncorrelated and they have the same variances are discussed. In addition, highly D-efficient spring balance weighing designs are also considered. Some conditions under which any spring balance weighing design is regular D-optimal or highly D-efficient are proved. What is more, new construction methods of regular D-optimal and highly D-efficient spring balance weighing designs are presented.
引用
收藏
页码:1470 / 1480
页数:11
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