Correspondence Analysis of Two Transition Tables

Posted: 3 Sep 1998

See all articles by Michael Greenacre

Michael Greenacre

Universitat Pompeu Fabra - Faculty of Economic and Business Sciences

José G. Clavel

University of Murcia

Abstract

The case of two transition tables is considered, that is two square asymmetric matrices of frequencies where the rows and columns of the matrices are the same objects observed at three different time points. Different ways of visualizing the tables, either separately or jointly, are examined. We generalize an existing idea where a square matrix is descomposed into symmetric and skew-symmetric parts to two matrices, leading to a decomposition into four components: (1) average symmetric, (2) average skew-symmetric, (3) symmetric difference from average, and (4) skew-symmetric difference from average. The method is illustrated with an artificial example and an example using real data from a study of changing values over three generations.

JEL Classification: C19, C88

Suggested Citation

Greenacre, Michael John and García Clavel, José, Correspondence Analysis of Two Transition Tables. Available at SSRN: https://ssrn.com/abstract=108534

Michael John Greenacre (Contact Author)

Universitat Pompeu Fabra - Faculty of Economic and Business Sciences ( email )

Ramon Trias Fargas 25-27
Barcelona, 08005
Spain
34 93 542 25 51 (Phone)
34 93 542 17 46 (Fax)

José García Clavel

University of Murcia ( email )

Avda Teniente Flomesta, 5
Murcia, Murcia 30100
Spain

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