Document Type

Article

Publication Date

3-12-2015

Abstract

Symmetry plays a fundamental role in design of experiments. In particular, symmetries of factorial designs that preserve their statistical properties are exploited to find designs with the best statistical properties. By using a result proved by Rosenberg [6], the concept of the LP relaxation orthogonal array polytope is developed and studied. A complete characterization of the permutation symmetry group of this polytope is made. Also, this characterization is verified computationally for many cases. Finally, a proof is provided.

Comments

arXiv:1503.03910 ; https://arxiv.org/abs/1503.03910
Date of publication refers to arXiv e-print version.

Source Publication

Journal of Combinatorial Mathematics and Combinatorial Computing : JCMCC

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