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About the selection of the number of components in correspondence analysis

Gilbert Saporta 1 Narcisa Tambrea 2
1 CEDRIC - MSDMA - CEDRIC. Méthodes statistiques de data-mining et apprentissage
CEDRIC - Centre d'études et de recherche en informatique et communications
2 CEDRIC - Centre d'études et de recherche en informatique et communications
Abstract : Selecting the right number of axes in correspondence analysis is usually done by using empirical criteria such as :-detection of an inflexion in the diagram of eigenvalues-getting an arbitrary amount of the cumulated percentage of inertia We examine the application of a chi-square goodness of fit test between the data table and its reconstitution with k eigenvalues. This test which has been proposed by E.Malinvaud, then by E.Andersen and G.Saporta has a good behaviour for frequency tables but fails to apply to multiple correspondence analysis. This failure, however enlightens some properties of this test and of correspondence analysis.
Keywords : correspondence analysis eigenvalues dimensionality
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Gilbert Saporta, Narcisa Tambrea. About the selection of the number of components in correspondence analysis. ASMDA 1993: 6th International Symposium on Applied Stochastic Models and Data Analysis, May 1993, Chania, Greece. pp.846-856. ⟨hal-02514004⟩

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