Abstract
The aim of this work is to present a method of joint factorial analysis of several contingency tables. This method that we have called Simultaneous Analysis (SA), is especially appropriate to analyze frequency tables whose row margins are different, for example when the tables are from different samples or different time points. Furthermore, SA may be applied to the joint analysis of more than two data tables in which rows refer to the same entities, but columns may be different.
SA allows us to maintain the structure of each table in the overall analysis by centering each table internally with its margins, as is done in Correspondence Analysis (CA) and provides a joint description of the different structures contained within each table. Besides jointly studying the infrastructure of the tables, SA permits an overall comparison of the similarities and differences between the tables.
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References
CAZES, P. (1980): L’ analyse de certains tableaux rectangulaires décomposés en blocs: généralisation des propriétes rencontrées dans l’ étude des correspondances multiples. I. Définitions et applications à l’ analyse canonique des variables qualitatives. Les Cahiers de l’ Analyse des Données, V, 2, 145-161.
CAZES, P. (1981): L’ analyse de certains tableaux rectangulaires décomposés en blocs: généralisation des propriétes rencontrées dans l’ étude des correspondances multiples. IV. Cas modèles. Les Cahiers de l’ Analyse des Données, VI, 2, 135-143.
CAZES, P. (1982): Note sur les éléments supplémentaires en analyse des correspondances II. Tableaux multiples. Les Cahiers de l’ Analyse des Données, VII, 133-154.
CAZES, P. (2004): Quelques methodes d’ analyse factorielle d’ une serie de tableaux de don-nées. La Revue de Modulad, 31, 1-31.
D’ AMBRA, L. and LAURO, N. (1989): Non symetrical analysis of three-way contingency tables. Multiway Data Analysis, 301-315.
ESCOFIER, B. (1983): Généralisation de l’ analyse des correspondances à la comparaison de tableaux de fréquence. INRIA, Mai, 207, 1-33.
ESCOFIER, B and PAGÈS, J. (1988 (1998, 3e édition) ): Analyses Factorielles Simples et Multiples. Objetifs, méthodes et interprétation. Dunod, París.
GOITISOLO, B. (2002): El análisis simultáneo. Propuesta y aplicación de un nuevo método de análisis factorial de tablas de contingencia. Phd Thesis. Basque Country University Press. Bilbao. Spain.
LAURO, N. and D’ AMBRA, L. (1984): L’ Analyse non symétrique des correspondances. Data Analysis and Informatics, III, 433-446.
MÉOT, A. and LECLERC, B. (1997): Voisinages a priori et analyses factorielles: Illustration dans le cas de proximités géographiques. Revue de Statistique Appliquée, XLV, 25-44.
PAGÈS, J. and BÉCUE-BERTAUT, M. (2006): Multiple Factor Analysis for Contingency Tables. In: M. Greenacre and J. Blasius (Eds.): Multiple Correspondence Analysis and Related Methods. Chapman & Hall/CRC, 299-326.
ZÁRRAGA, A. and GOITISOLO, B. (2002): Méthode factorielle pour l’analyse simultanée de tableaux de contingence. Revue de Statistique Appliquée L(2), 47-70.
ZÁRRAGA, A. and GOITISOLO, B. (2003): Étude de la structure Inter-tableaux à travers l’Analyse Simultanée. Revue de Statistique Appliquée LI(3), 39-60.
ZÁRRAGA, A. and GOITISOLO, B. (2006): Simultaneous Analysis: A Joint Study of Sev-eral Contingency Tables with Different Margins. In: M. Greenacre and J. Blasius (Eds.): Multiple Correspondence Analysis and Related Methods. Chapman & Hall/CRC, 327-350.
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Zárraga, A., Goitisolo, B. (2008). Factorial Analysis of a Set of Contingency Tables. In: Preisach, C., Burkhardt, H., Schmidt-Thieme, L., Decker, R. (eds) Data Analysis, Machine Learning and Applications. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78246-9_26
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DOI: https://doi.org/10.1007/978-3-540-78246-9_26
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