Abstract
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.
Original language | English |
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Pages (from-to) | 279-290 |
Number of pages | 12 |
Journal | Linear Algebra and Its Applications |
Volume | 400 |
Issue number | 1-3 |
DOIs | |
State | Published - 1 May 2005 |
Keywords
- D-optimal designs
- Fisher's inequality
- Hadamard's inequality