On the aberrations of mixed level Orthogonal Arrays with removed runs

Roberto Fontana; Fabio Rapallo

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arXiv · 1809.03759

On the aberrations of mixed level Orthogonal Arrays with removed runs

Roberto Fontana·Fabio Rapallo

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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.

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Roberto Fontana, Fabio Rapallo. 2018-09-11. On the aberrations of mixed level Orthogonal Arrays with removed runs. https://arxiv.org/abs/1809.03759

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