D-optimal two-level orthogonal arrays for estimating main effects and some specified two-factor interactions

Boxin Tang () and Julie Zhou ()

Metrika: International Journal for Theoretical and Applied Statistics, 2013, vol. 76, issue 3, 325-337

Abstract: Theoretical results are derived for finding D-optimal two-level orthogonal arrays for estimating main effects and some specified two-factor interactions. The upper bounds of the determinant of the related matrix for D-optimality are obtained. For run sizes 12 and 20, D-optimal orthogonal arrays are found for all requirement sets with three or less two-factor interactions, and all the D-optimal orthogonal arrays except one can be constructed by sequentially collecting columns. Examples are also given for run sizes 36 and 52 to discuss the guidelines to construct D-optimal orthogonal arrays. Copyright Springer-Verlag 2013

Keywords: D-optimal design; Factorial design; Hadamard matrix; Non-regular design (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s00184-012-0389-5

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