On weighted design optimality criteria and response surface parameterizations

Neil A. Butler

Statistics & Probability Letters, 2001, vol. 51, issue 1, 41-46

Abstract: This paper considers weighted design optimality criteria for polynomial responses surfaces. It is shown that there are some particularly simple parameterizations of the response surface for which weighted optimality criteria are equivalent to A-optimality or weighted A-optimality. This is useful in practice as A-optimality search algorithms are readily available.

Keywords: A-optimality; ASV-optimality; D-optimality; Hermite; polynomial; I-optimality; Legendre; polynomial; Orthogonality; V-optimality (search for similar items in EconPapers)
Date: 2001
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