On the aberrations of mixed level orthogonal arrays with removed runs

Roberto Fontana () and Fabio Rapallo
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Roberto Fontana: Politecnico di Torino
Fabio Rapallo: Università del Piemonte Orientale

Statistical Papers, 2019, vol. 60, issue 2, No 9, 479-493

Abstract: Abstract Given an orthogonal array we analyze the aberrations of the sub-fractions which are obtained by the deletion of some of its points. We provide formulae to compute the Generalized Word-Length Pattern of any sub-fraction. In the case of the deletion of one single point, we provide a simple methodology to find which the best sub-fractions are according to the Generalized Minimum Aberration criterion. We also study the effect of the deletion of 1, 2 or 3 points on some examples. The methodology does not put any restriction on the number of levels of each factor. It follows that any mixed level orthogonal array can be considered.

Keywords: Orthogonal arrays; Generalized word-length pattern; Generalized minimum aberration criterion; Incomplete designs; 62K15 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s00362-018-01069-5

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