Statistique bivariée avec R

Ce manuel présente les principales méthodes statistiques permettant d'étudier la liaison entre deux variables. Son organisation est déclinée selon la nature qualitative, quantitative ou ordinale des variables. Les développements de chaque chapitre s'appuient sur un exemple concret qui permet au néophyte de bien comprendre les notions introduites. La présence de commandes avec le logiciel libre R, d'exercices corrigés et d'un chapitre consacré à deux études de cas aident le lecteur dans la mise en pratique et l'assimilation des concepts

Analyzing multiset data by the Power STATIS-ACT method

International audienceThe STATIS-ACT method is a generalization of principal component analysis used to study simultaneously several data tables measured on the same observation units or variables. The goal of this method is to analyze the relationship between these data tables and to combine them into a compromise matrix corresponding to an optimal agreement between the data. In this paper, we propose a new approach to this method, referred to as the Power STATIS-ACT method, where the compromise matrix is derived from a general s-power based criterion (s >= 1) and investigate some of its theoretical and practical properties. Special attention is devoted to the 1-power case which makes the introduction of low rank versions of the compromise possible. We also examine the effect of varying the power parameter s on the compromise solutions. All results are illustrated with a number of real data tables

On a General Transformation Making a Dissimilarity Matrix Euclidean

Erratum dans Journal of Claasification, 2007, vol. 24 n° 2 pp. 303-304International audienc

The Carroll and Chang conjecture of equal Indscal components when Candecomp/Parafac gives perfect fit

International audienc

Anisotropic generalized Procrustes analysis

International audienceGeneralized 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

Anisotropic generalized Procrustes analysis

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.Matching configurations Generalized Procrustes analysis Anisotropic scaling

The Assumption of Proportional Components when Candecomp is Applied to Symmetric Matrices in the Context of Indscal

Candecomp, Parafac, Indscal,