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A canonical form for non-regular arrays based on generalized word length pattern values of delete-one-factor projections

Pieter T. Eendebak

Working Papers from University of Antwerp, Faculty of Business and Economics

Abstract: We introduce a canonical representative for the isomorphism classes of non-regular orthogonal arrays based on the generalized word length patterns (GWLP) of delete-one-factor projections. These GWLP values have been used recently to introduce a fast isomorphism test for two-level regular arrays. We show that the delete-one-factor projection GWLP method can be adopted to reduce both regular and non-regular orthogonal arrays to canonical form. The new canonical form is used in an existing framework to generate minimal complete sets of non-symmetric non-regular arrays. We show that the new method is efficient for reduction to canonical form, but not suitable for generating minimal complete sets.

Keywords: Experimental design; Orthogonal array; Delete-one-factor; Canonical form; Generalized word length pattern (search for similar items in EconPapers)
Pages: 20 pages
Date: 2014-04
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Persistent link: https://EconPapers.repec.org/RePEc:ant:wpaper:2014007

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