Régression et analyse géométrique des données : réflexions et suggestions

Multivariate data are often treated with regression methods on one hand, Geometric Data Analyse methods (PCA, AC…) on the other hand. We intend to show, thanks to the mathematical structures common to the two methods, illustrated by examples, how one can integrate regression methods in geometric ana...

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Detalhes bibliográficos
Publicado no:URI:https://journals.openedition.org/msh,
Auteurs principaux: Rouanet, Henry, Lebaron, Frédéric, Le Hay, Viviane, Ackermann, Werner, Le Roux, Brigitte
Formato: Article ou chapitre numérique
Idioma:Français
Publicado em: Mathématiques et sciences humaines 2006
Assuntos:
Acesso em linha:Accès Université d'Orléans et IFPM
Accès Université d'Orléans et IFPM
Descrição
Resumo:Multivariate data are often treated with regression methods on one hand, Geometric Data Analyse methods (PCA, AC…) on the other hand. We intend to show, thanks to the mathematical structures common to the two methods, illustrated by examples, how one can integrate regression methods in geometric analysis. Geometric analysis allows a visualization of structural effects. There is no ground to oppose “explanatory” and “descriptive” statistical methods.