Abstract
For the interpretation of a two-way contingency table cross-classification, based on two hierarchies, new indexes are developed, able at evaluating relative contribution of either hierarchy nodes to the other’s nodes or partitions. Indexes are based on groups’ inertia projection onto the orthogonal basis, associated to the explanatory hierarchy, in a vector space with χ2 metrics. An application based on Lombardy municipalities 1991 Census data is given.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Benzécri, J.P. et coli (1973–82). L’Analyse des Données. 2 voli., Paris, Dunod.
Benzécri, J.P., M.O. Lebeaux, and M. Jambu (1980). “Aides à l’interprétation en classification automatique”. Cahiers de l’Analyse des Données, 5 (1): 101–123.
Bertin, J. (1977). La graphique et le traitement graphique de Vinformation. Paris, Flammarion.
Camiz, S. (1993). “Computer Assisted Procedures for Structuring Community Data”. Coenoses, 8 (2): 97–104.
Camiz, S. (1994). “A Procedure for Structuring Vegetation Tables”. Abstracta Botanica, 18 (2): 57–70.
Camiz, S. and V. Tulli (1996). I censimenti in Lombardia: una sintesi forte dei risultati. Communication. Meeting on «Realtà locali e regionali. Metodi quantitativi di analisi». Dipartimento Metodi Quantitativi, Università di Brescia.
Cazes, P. (1984). “Les correspondances hiérarchiques”. CEREMADE, Université Paris-Dauphine, Les Cahiers de Mathématiques de Décision.
Diday, E. (1970). La méthode des nuées dynamiques et la reconnaissance des formes. Paris, IRLA.
Feoli, E. and L. Orlóci (1979). “Analysis of concentration and detection of underlying factors in structured tables”. Vegetatio, 40: pp. 49–54.
Govaert, G. (1984). Classification croisée. Université de Paris VI, Thèse d’état.
Greenacre, M. (1988). “Clustering the Rows and Columns of a Contingency Table”. Journal of Classification, 5: pp. 39–51.
Lebart, L., A. Morineau, and J.P. Fénelon (1979). Traitement des données statistiques. Paris, Dunod.
Lebart, L., A. Morineau, and K. Warwick (1984). Multivariate Descriptive Statistical Analysis. New York, John Wiley and Sons.
Orlóci, L. (1978). Multivariate Analysis in Vegetation Research. The Hague, Junk.
Ward, J.H. (1963). “Hierarchical Grouping to Optimize an Objective Function”. Journal of the American Statistical Association, 58: 236–244.
Weiss, M.C. (1978). “Décomposition hiérarchique du chi-deux associée à un tableau de contingence à plusieurs entrées”. Revue de Statistique Appliquée, 26 (1): 23–33.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer-Verlag Berlin · Heidelberg
About this paper
Cite this paper
Camiz, S., Denimal, JJ. (1998). Interpretation of a Cross-Classification: a New Method and an Application. In: Rizzi, A., Vichi, M., Bock, HH. (eds) Advances in Data Science and Classification. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-72253-0_75
Download citation
DOI: https://doi.org/10.1007/978-3-642-72253-0_75
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-64641-9
Online ISBN: 978-3-642-72253-0
eBook Packages: Springer Book Archive