Une extension de l'Analyse Factorielle Multiple pour des groupes de variables mixtes

Abstract : Multiple Factor Analysis (MFA) originally proposed by Esco er and Pag es in 1982 is a method dedicated to the study of a set of n individuals described by groups of quantitative variables. Later, this method was extended to take into account groups of qualitative variables (Pag es, 1983) then simultaneously quantitative groups and qualitative groups (Pag es, 2002). However, this method does not currently take into account mixed groups, that is to say containing both quantitative and qualitative variables. The aim of our study is to propose sustainable development indicators by integrating the aspect of quality of life. For that, we are confronted with the analysis of groups of variables with quantitative and qualitative variables. In this work, we propose an extension of the MFA method, called MFAMIX, for the multiple factor analysis of mixed groups of variables. This approach relies on a combination of AFM and PCAMIX method that allows the analysis of mixed data. MFAMIX method will be presented using a singular value decomposition and will be illustrated on socio-economic data about the quality of life.
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Submitted on : Thursday, January 9, 2014 - 12:05:37 PM
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Amaury Labenne, Marie Chavent, Vanessa Kuentz-Simonet, Tina Rambonilaza, Jerôme Saracco. Une extension de l'Analyse Factorielle Multiple pour des groupes de variables mixtes. 45èmes Journées de Statistique, Jun 2013, France. pp.1-4, 2013. 〈hal-00926254〉

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