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Model based on skew normal distribution for square contingency tables with ordinal categories

Author

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  • Yamamoto, Kouji
  • Murakami, Hidetoshi

Abstract

For the analysis of square contingency tables with ordinal categories, Tahata, Yamamoto and Tomizawa (2009) considered the normal distribution type symmetry model, which may be appropriate if it is reasonable to assume an underlying bivariate normal distribution with equal marginal variances. The present paper proposes a new model which may be appropriate for a square ordinal table if it is reasonable to assume an underlying bivariate skew normal distribution with equal marginal variances. Simulations are used to investigate the fitting of new model for bivariate skew normal distribution. The decayed teeth data are analyzed by using the new model.

Suggested Citation

  • Yamamoto, Kouji & Murakami, Hidetoshi, 2014. "Model based on skew normal distribution for square contingency tables with ordinal categories," Computational Statistics & Data Analysis, Elsevier, vol. 78(C), pages 135-140.
    • Handle: RePEc:eee:csdana:v:78:y:2014:i:c:p:135-140
    DOI: 10.1016/j.csda.2014.04.007
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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. 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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