Anisotropic generalized Procrustes analysis

Mohammed Bennani-Dosse (1) , Henk A.L. Kiers (2) , Jos M. F. ten Berge (2)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 DPMG - Heymans Institute

Generalized Procrustes analysis is a popular method for matching several configurations by translations, rotations/reflections and scaling constants. It aims at producing a group average from these Euclidean similarity transformations followed by bi-linear approximation of this group average for graphical inspection. An extension that allows for anisotropic scaling (i.e. different scaling of different dimensions) is proposed. This method is illustrated using two real data sets from sensory analysis.

Mots clés: Matching configurations; Generalized Procrustes analysis; Anisotropic scaling

Domaines: Statistiques [math.ST]; Théorie [stat.TH]

Mohammed Bennani-Dosse, Henk A.L. Kiers, Jos M. F. ten Berge. Anisotropic generalized Procrustes analysis. Computational Statistics and Data Analysis, 2011, 55 (1), pp.1961-1968. ⟨10.1016/j.csda.2010.11.027⟩. ⟨hal-00561078⟩