Affiliations: French Agency for Food, Environmental, and Occupational Health Safety, Department of Epidemiology, 22440 Ploufragan, France, E-mail: [email protected] | Nantes-Atlantic National College of Veterinary Medicine, Food Science and Engineering, Department of Chemometrics and Sensometrics, Rue de la Géraudière, 44322 Nantes, France, E-mail: [email protected], [email protected] | French Research Institute for Exploitation of the Sea, Avenue de Mus de loup, 17390 La Tremblade, France, E-mail: [email protected]
Abstract: For the purpose of exploring and modelling the relationships between a dataset and several datasets, multiblock Partial Least Squares is a widely-used regression technique. It is designed as an extension of PLS which aims at linking two datasets. In the same vein, we propose an extension of Redundancy Analysis to the multiblock setting. We show that PLS and multiblock Redundancy Analysis aim at maximizing the same criterion but the constraints are different. From the solutions of both these approaches, it turns out that they are the two end points of a continuum approach that we propose to investigate.
