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arXiv · 1503.03910

The LP Relaxation Orthogonal Array Polytope and its Permutation Symmetries

Andrew J. Geyer·Dursun A. Bulutoglu·Steven J. Rosenberg
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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.

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Andrew J. Geyer, Dursun A. Bulutoglu, Steven J. Rosenberg. 2015-03-12. The LP Relaxation Orthogonal Array Polytope and its Permutation Symmetries. https://arxiv.org/abs/1503.03910

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