The LP Relaxation Orthogonal Array Polytope and its Permutation Symmetries
Combinatorics
2021-04-23 v3
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.
Keywords
Cite
@article{arxiv.1503.03910,
title = {The LP Relaxation Orthogonal Array Polytope and its Permutation Symmetries},
author = {Andrew J. Geyer and Dursun A. Bulutoglu and Steven J. Rosenberg},
journal= {arXiv preprint arXiv:1503.03910},
year = {2021}
}
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12 pages