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arXiv · 1302.2882

Markov chain Monte Carlo methods for the regular two-level fractional factorial designs and cut ideals

Satoshi Aoki·Takayuki Hibi·Hidefumi Ohsugi
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Abstract

It is known that a Markov basis of the binary graph model of a graph $G$ corresponds to a set of binomial generators of cut ideals $I_{\widehat{G}}$ of the suspension $\widehat{G}$ of $G$. In this paper, we give another application of cut ideals to statistics. We show that a set of binomial generators of cut ideals is a Markov basis of some regular two-level fractional factorial design. As application, we give a Markov basis of degree 2 for designs defined by at most two relations.

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Satoshi Aoki, Takayuki Hibi, Hidefumi Ohsugi. 2013-02-12. Markov chain Monte Carlo methods for the regular two-level fractional factorial designs and cut ideals. https://arxiv.org/abs/1302.2882

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