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A class of ordinal quasi-symmetry models for square contingency tables

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  • Kateri, Maria
  • Agresti, Alan

Abstract

Kateri and Papaioannou [1997. Asymmetry models for contingency tables. J. Amer. Statist. Assoc. 92, 1124-1131] proved that, under certain conditions, quasi-symmetry is the closest model to symmetry. A simpler ordinal quasi-symmetry model is the closest to symmetry, under a weaker condition of unequal marginal mean scores. It is a special case of a class of ordinal models based on f-divergence.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:77:y:2007:i:6:p:598-603
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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.
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    Cited by:

    1. Kateri, Maria & Nikolov, Nikolay I., 2022. "A generalized Mallows model based on ϕ-divergence measures," Journal of Multivariate Analysis, Elsevier, vol. 190(C).
    2. Saigusa, Yusuke & Tahata, Kouji & Tomizawa, Sadao, 2015. "Orthogonal decomposition of symmetry model using the ordinal quasi-symmetry model based on f-divergence for square contingency tables," Statistics & Probability Letters, Elsevier, vol. 101(C), pages 33-37.
    3. 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.
    4. Kateri, Maria & Agresti, Alan, 2010. "A generalized regression model for a binary response," Statistics & Probability Letters, Elsevier, vol. 80(2), pages 89-95, January.

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