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

Chun Hsien Li, Suh Yuh Yang

Research output: Contribution to journalArticlepeer-review

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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 languageEnglish
Pages (from-to)279-290
Number of pages12
JournalLinear Algebra and Its Applications
Volume400
Issue number1-3
DOIs
StatePublished - 1 May 2005

Keywords

  • D-optimal designs
  • Fisher's inequality
  • Hadamard's inequality

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