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Orthogonal decomposition of symmetry model using the ordinal quasi-symmetry model based on f-divergence for square contingency tables

Author

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  • Saigusa, Yusuke
  • Tahata, Kouji
  • Tomizawa, Sadao

Abstract

For square contingency tables, Caussinus (1965) considered the quasi-symmetry (QS) model. Kateri and Agresti (2007) considered the ordinal quasi-symmetry (OQS[f]) model based on f-divergence. The present paper gives a decomposition of the symmetry (S) model into the OQS[f] and marginal mean equality models. It also shows that the test statistic for goodness-of-fit of the S model is asymptotically equivalent to the sum of those for the decomposed models.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:101:y:2015:i:c:p:33-37
    DOI: 10.1016/j.spl.2015.02.023
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    References listed on IDEAS

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    1. 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.
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