Statistical Papers

, Volume 60, Issue 2, pp 129–143 | Cite as

On the aberrations of mixed level orthogonal arrays with removed runs

  • Roberto FontanaEmail author
  • Fabio Rapallo
Regular Article


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.


Orthogonal arrays Generalized word-length pattern Generalized minimum aberration criterion Incomplete designs 

Mathematics Subject Classification




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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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department DISMA, Dipartimento di eccellenza 2018-2022Politecnico di TorinoTurinItaly
  2. 2.Department DISITUniversità del Piemonte OrientaleAlessandriaItaly

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