Algebraic characterization of regular fractions under level permutations
Methodology
2017-05-04 v1 Statistics Theory
Statistics Theory
Abstract
In this paper we study the behavior of the fractions of a factorial design under permutations of the factor levels. We focus on the notion of regular fraction and we introduce methods to check whether a given symmetric orthogonal array can or can not be transformed into a regular fraction by means of suitable permutations of the factor levels. The proposed techniques take advantage of the complex coding of the factor levels and of some tools from polynomial algebra. Several examples are described, mainly involving factors with five levels.
Keywords
Cite
@article{arxiv.1705.01340,
title = {Algebraic characterization of regular fractions under level permutations},
author = {Fabio Rapallo and Maria Piera Rogantin},
journal= {arXiv preprint arXiv:1705.01340},
year = {2017}
}
Comments
23 pages, including two appendices