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Point-symmetry models and decomposition for collapsed square contingency tables

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  • Kouji Yamamoto
  • Shota Murakami
  • Sadao Tomizawa

Abstract

For square contingency tables with ordered categories, there may be some cases that one wants to analyze them by considering collapsed tables with some adjacent categories combined in the original table. This paper proposes three kinds of new models which have the structure of point-symmetry (PS), quasi point-symmetry and marginal point-symmetry for collapsed square tables. This paper also gives a decomposition of the PS model for collapsed square tables. The father's and his daughter's occupational mobility data are analyzed using new models.

Suggested Citation

  • Kouji Yamamoto & Shota Murakami & Sadao Tomizawa, 2013. "Point-symmetry models and decomposition for collapsed square contingency tables," Journal of Applied Statistics, Taylor & Francis Journals, vol. 40(7), pages 1446-1452, July.
    • Handle: RePEc:taf:japsta:v:40:y:2013:i:7:p:1446-1452
    DOI: 10.1080/02664763.2013.786028
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    References listed on IDEAS

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    1. Kouji Tahata & Sadao Tomizawa, 2008. "Orthogonal decomposition of point-symmetry for multiway tables," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 92(3), pages 255-269, August.
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    1. Kouji Tahata & Sadao Tomizawa, 2010. "Double linear diagonals-parameter symmetry and decomposition of double symmetry for square tables," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 19(3), pages 307-318, August.

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