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On a conjecture in D-optimal designs with n ≡ 0 mod 4

✍ Scribed by Chun-Hsien Li; Suh-Yuh Yang

Publisher: Elsevier Science
Year: 2005
Tongue: English
Weight: 204 KB
Volume: 400
Category: Article
ISSN: 0024-3795
DOI: 10.1016/j.laa.2004.11.020

No coin nor oath required. For personal study only.

✦ Synopsis

This paper is devoted to analyze a conjecture in D-optimal designs proposed by Bora-Senta and Moyssiadis [An algorithm for finding exact D-and A-optimal designs with n observations and k two-level factors in the presence of autocorrelated errors, J. Combin. Math. Combin. Comput. 30 (1999) 149-170] in 1999. With the aid of techniques of differential calculus, Hadamard's and Fisher's inequalities for symmetric and positive definite matrices, we prove that the conjecture is true for n autocorrelated observations and k two-level factors with n = 4ν and k = 2.

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✦ Synopsis

On a conjecture in D-optimal designs with n ≡ 0 mod 4