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Some New Log-Bilinear Models for the Analysis of Asymmetry in a Square Contingency Table

Author

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  • PETER G. M. van der HEIJDEN

    (Utrecht University)

  • AB MOOIJAART

    (Leiden University)

Abstract

The authors propose some new log-bilinear models for the analysis of asymmetry in square contingency tables. In these models the logarithm of the expected frequency is split up into two parts: (a) a symmetric or a quasi-symmetric part, and (b) a skew-symmetric part. The skew-symmetric part is decomposed using the so-called Gower decomposition of skew-symmetric matrices. It is shown how graphical representations of this decomposition can simplify the interpretation.

Suggested Citation

  • PETER G. M. van der HEIJDEN & AB MOOIJAART, 1995. "Some New Log-Bilinear Models for the Analysis of Asymmetry in a Square Contingency Table," Sociological Methods & Research, , vol. 24(1), pages 7-29, August.
    • Handle: RePEc:sae:somere:v:24:y:1995:i:1:p:7-29
    DOI: 10.1177/0049124195024001002
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    References listed on IDEAS

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    1. A. G. Constantine & J. C. Gower, 1978. "Graphical Representation of Asymmetric Matrices," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 27(3), pages 297-304, November.
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    Cited by:

    1. Mark de Rooij, 2008. "The analysis of change, Newton's law of gravity and association models," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 171(1), pages 137-157, January.

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