On the aberrations of mixed level orthogonal arrays with removed runs
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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.
KeywordsOrthogonal arrays Generalized word-length pattern Generalized minimum aberration criterion Incomplete designs
Mathematics Subject Classification62K15
Both authors are members of GNAMPA-INdAM. This research has a financial support from Politecnico di Torino and Università del Piemonte Orientale.
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