Mod\'elisation factorielle des interactions entre deux ensembles d'observations : la m\'ethode PLS-FILM (Partial Least Squares Factor Interaction Linear Modelling)
Methodology
2008-02-07 v1 Statistics Theory
Statistics Theory
Abstract
In this work, we consider a data array encoding interactions between two sets of observations respectively referred to as "subjects" and "objects". Besides, descriptions of subjects and objects are available through two variable sets. We propose a geometrically grounded exploratory technique to analyze the interactions using descriptions of subjects and objects: interactions are modelled using a hierarchy of subject-factors and object-factors built up from these descriptions. Our method bridges the gap between those of Chessel (RLQ analysis) and Martens (L-PLS), although it only has rank 1 components in common with them.
Keywords
Cite
@article{arxiv.0802.0794,
title = {Mod\'elisation factorielle des interactions entre deux ensembles d'observations : la m\'ethode PLS-FILM (Partial Least Squares Factor Interaction Linear Modelling)},
author = {Xavier Bry and Thomas Verron},
journal= {arXiv preprint arXiv:0802.0794},
year = {2008}
}