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Quasi-asymmetry model for square tables with nominal categories

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  • Kouji Tahata

Abstract

For an R × R square contingency table with nominal categories, the present paper proposes a model which indicates that the absolute values of log odds of the odds ratio for rows i and j and columns j and R to the corresponding symmetric odds ratio for rows j and R and columns i and j are constant for every i > j > R . The model is an extension of the quasi-symmetry model and states a structure of asymmetry of odds ratios. An example is given.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:japsta:v:39:y:2012:i:4:p:723-729
    DOI: 10.1080/02664763.2011.610447
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    References listed on IDEAS

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    1. Agresti, Alan, 1983. "A simple diagonals-parameter symmetry and quasi-symmetry model," Statistics & Probability Letters, Elsevier, vol. 1(6), pages 313-316, October.
    2. Kateri, Maria & Agresti, Alan, 2007. "A class of ordinal quasi-symmetry models for square contingency tables," Statistics & Probability Letters, Elsevier, vol. 77(6), pages 598-603, March.
    3. 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.
    4. Nobuko Miyamoto & Kouji Tahata & Hirokazu Ebie & Sadao Tomizawa, 2006. "Marginal inhomogeneity models for square contingency tables with nominal categories," Journal of Applied Statistics, Taylor & Francis Journals, vol. 33(2), pages 203-215.
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    Cited by:

    1. 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.

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