A Characterization of Saturated Designs for Factorial Experiments
Statistics Theory
2013-05-01 v1 Methodology
Statistics Theory
Abstract
In this paper we study saturated fractions of factorial designs under the perspective of Algebraic Statistics. We define a criterion to check whether a fraction is saturated or not with respect to a given model. The proposed criterion is based purely on combinatorial objects. Our technique is particularly useful when several fractions are needed. We also show how to generate random saturated fractions with given projections, by applying the theory of Markov bases for contingency tables.
Keywords
Cite
@article{arxiv.1304.7914,
title = {A Characterization of Saturated Designs for Factorial Experiments},
author = {Roberto Fontana and Fabio Rapallo and Maria-Piera Rogantin},
journal= {arXiv preprint arXiv:1304.7914},
year = {2013}
}
Comments
18 pages, 1 figure