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Parsimonious Bivariate T-distribution Type Symmetry Models for Square Contingency Tables

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  • Kiyotaka Iki
  • Sadao Tomizawa

Abstract

For square contingency tables with ordered categories, Iki, Ishihara and Tomizawa (2013) considered the t-distribution type symmetry model and Iki, Okada and Tomizawa (2018) extended this model. These models are appropriate for a square contingency table if it is reasonable to assume an underlying bivariate t-distribution having any degrees of freedom. This study proposes three kinds of parsimonious models for these models. Additionally, this paper provides the decompositions of the parsimonious symmetry model using the proposed model. Some simulation studies based on bivariate t-distribution show the performances of the proposed models.

Suggested Citation

  • Kiyotaka Iki & Sadao Tomizawa, 2022. "Parsimonious Bivariate T-distribution Type Symmetry Models for Square Contingency Tables," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 11(5), pages 1-44, November.
    • Handle: RePEc:ibn:ijspjl:v:11:y:2022:i:5:p:44
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    References listed on IDEAS

    as
    1. Satoru Shinoda & Kouji Tahata & Kouji Yamamoto & Sadao Tomizawa, 2021. "Marginal Continuation odds Ratio Model and Decomposition of Marginal Homogeneity Model for Multi-way Contingency Tables," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 83(2), pages 304-324, November.
    2. Ando, Shuji & Tahata, Kouji & Tomizawa, Sadao, 2021. "Extended diagonal uniform association symmetry model for square contingency tables with ordinal categories," Statistics & Probability Letters, Elsevier, vol. 169(C).
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      JEL classification:

      • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
      • Z0 - Other Special Topics - - General

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