Perturbation method for determining the group of invariance of hierarchical models

Details Perturbation method for determining the group of invariance of hierarchical models Perturbation method for determining the group of invariance of hierarchical models

2008-08-20

arxiv.org/abs/0808.2725v2

Advances in Applied Mathematics, 43 (2009), 375-389.

Mathematics

Algebraic Geometry

17pages, no figures

Scientific paper

10.1016/j.aam.2009.02.005

We propose a perturbation method for determining the (largest) group of invariance of a toric ideal defined in Aoki and Takemura [2008a]. In the perturbation method, we investigate how a generic element in the row space of the configuration defining a toric ideal is mapped by a permutation of the indeterminates. Compared to the proof in Aoki and Takemura [2008a] which was based on stabilizers of a subset of indeterminates, the perturbation method gives a much simpler proof of the group of invariance. In particular, we determine the group of invariance for a general hierarchical model of contingency tables in statistics, under the assumption that the numbers of the levels of the factors are generic. We prove that it is a wreath product indexed by a poset related to the intersection poset of the maximal interaction effects of the model.

Affiliated with

Also associated with

No associations

Rating

Perturbation method for determining the group of invariance of hierarchical models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Perturbation method for determining the group of invariance of hierarchical models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Perturbation method for determining the group of invariance of hierarchical models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-609211