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Some results for almost D-optimal experimental designs

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  • Koukouvinos, Christos

Abstract

The problem of constructing first-order saturated designs that are optimal in some sense has received a great deal of attention in the literature. In experimental situations where n two-level factors are involved and n observations are taken, then the D-optimal first-order saturated design is an n x n ± 1 matrix with the maximum determinant. In this paper almost D-optimal first-order saturated designs of order n [reverse not equivalent] 1 mod 4 are constructed using Hadamard matrices with maximum excess. The D-efficiency of these designs is studied and some numerical examples are given.

Suggested Citation

  • Koukouvinos, Christos, 1996. "Some results for almost D-optimal experimental designs," Statistics & Probability Letters, Elsevier, vol. 30(3), pages 221-226, October.
  • Handle: RePEc:eee:stapro:v:30:y:1996:i:3:p:221-226
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