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Conditional Difference Asymmetry Model for Square Contingency Tables with Nominal Categories

Author

Listed:
  • Sadao Tomizawa
  • Nobuko Miyamoto
  • Ryo Funato

Abstract

This paper proposes a model, which is an extension-of-symmetry model, for square contingency tables with the same nominal row and column classifications. The model states that the absolute values of difference between the conditional probability that an observation will fall in cell (i, j) on condition that it falls in cell (i, j) or (j, i) and the conditional probability that it falls in cell (j, i) on the same condition, are constant for every i≠j. The model describes a structure of asymmetry (not symmetry), and it is applied to the data on a nominal scale. An example is given.

Suggested Citation

  • Sadao Tomizawa & Nobuko Miyamoto & Ryo Funato, 2004. "Conditional Difference Asymmetry Model for Square Contingency Tables with Nominal Categories," Journal of Applied Statistics, Taylor & Francis Journals, vol. 31(3), pages 271-277.
    • Handle: RePEc:taf:japsta:v:31:y:2004:i:3:p:271-277
    DOI: 10.1080/0266476042000184028
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    Citations

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    Cited by:

    1. Kouji Tahata, 2012. "Quasi-asymmetry model for square tables with nominal categories," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(4), pages 723-729, August.
    2. Kouji Tahata & Takuya Yoshimoto, 2015. "Marginal asymmetry model for square contingency tables with ordered categories," Journal of Applied Statistics, Taylor & Francis Journals, vol. 42(2), pages 371-379, February.
    3. Bayo Lawal, 2008. "On fitting the conditional difference asymmetry models to square contingency tables with nominal categories," Quality & Quantity: International Journal of Methodology, Springer, vol. 42(5), pages 605-612, October.

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