D-optimal weighing designs for six objects

被引：7
|
作者：
Neubauer, MG [1 ]
Watkins, W [1 ]
Zeitlin, J [1 ]
机构：
[1] Calif State Univ Northridge, Dept Math, Northridge, CA 91330 USA
来源：
METRIKA | 2000年 / 52卷 / 03期
关键词：
D-optimal design; weighing design;
D O I：
10.1007/PL00003982
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：
For all integers In greater than or equal to 6, we determine the maximum value of det (XX)-X-T, where X is an m x 6 (0, 1)-matrix, and exhibit (D-optimal) matrices X for which the maximum occurs. For D-optimal matrices X, the uniqueness of the Gram matrix (XX)-X-T is discussed.
引用
收藏
页码：185 / 211
页数：27
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