English

On the aberrations of mixed level Orthogonal Arrays with removed runs

Statistics Theory 2018-09-12 v1 Methodology Statistics Theory

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

Cite

@article{arxiv.1809.03759,
  title  = {On the aberrations of mixed level Orthogonal Arrays with removed runs},
  author = {Roberto Fontana and Fabio Rapallo},
  journal= {arXiv preprint arXiv:1809.03759},
  year   = {2018}
}

Comments

13 pages, 5 tables