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Correspondence Analysis of Two Transition Tables

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Author Info
Michael Greenacre ()
José G. Clavel

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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.

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File URL: http://www.econ.upf.edu/docs/papers/downloads/298.pdf
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Publisher Info
Paper provided by Department of Economics and Business, Universitat Pompeu Fabra in its series Economics Working Papers with number 298.

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Date of creation: Jun 1998
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Handle: RePEc:upf:upfgen:298

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Web page: http://www.econ.upf.edu/

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Related research
Keywords: Correspondence analysis; matrix decomposition; skew-symmetry; transition matrices;

Find related papers by JEL classification:
C19 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Other
C88 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Other Computer Software

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References listed on IDEAS
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  1. Michael Greenacre, 1996. "An Adaptation of Correspondence Analysis for Square Tables," Economics Working Papers 189, Department of Economics and Business, Universitat Pompeu Fabra. [Downloadable!]
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Michael Greenacre, 2003. "Singular value decomposition of matched matrices," Journal of Applied Statistics, Taylor and Francis Journals, vol. 30(10), pages 1101-1113, December. [Downloadable!] (restricted)
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