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Notes on D-optimal designs
被引:14
|作者:
Neubauer, MG
[1
]
Watkins, W
[1
]
Zeitlin, J
[1
]
机构:
[1] Calif State Univ Northridge, Dept Math, Northridge, CA 91330 USA
关键词:
D-optimal design;
weighing design;
simplex;
D O I:
10.1016/S0024-3795(98)10015-0
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
The purpose of this paper is to exhibit new infinite families of D-optimal (0, 1)-matrices. We show that Hadamard designs lead to D-optimal matrices of size (j, mj) and (j - 1, mj), for certain integers j = 3 (mod 4) and all positive integers in. For j a power of a prime and j = 1 (mod 4), supplementary difference sets lead to D-optimal matrices of size (j, 2mj) and (j - 1,2mj), for all positive integers m. We also show that for a given j and d sufficiently large, about half of the entries in each column of a D-optimal matrix are ones. This leads to a new relationship between D-optimality for (0, 1)-matrices and for (+/-1)-matrices. Known results about D-optimal (+/-1)-matrices are then used to obtain new D-optimal (0, 1)-matrices. (C) 1998 Elsevier Science Inc. All rights reserved.
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页码:109 / 127
页数:19
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