Some results for almost D-optimal experimental designs

Christos Koukouvinos

Statistics & Probability Letters, 1996, vol. 30, issue 3, 221-226

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.

Keywords: Linear; models; Hadamard; matrix; Excess; Construction (search for similar items in EconPapers)
Date: 1996
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