Decomposition of Symmetry Model into Three Models for Cumulative Probabilities in Square Contingency Tables

Authors

  • Kouji Tahata Tokyo University of Science
  • Kouji Yamamoto Osaka University Hospital
  • Sadao Tomizawa Tokyo University of Science

Keywords:

Analysis of contingency table

Abstract

For square contingency tables with ordered categories, we decompose the symmetry model into three models for cumulative probabilities.Three models are the cumulative two ratios-parameter symmetry, the global symmetry, and the marginal means equality models.An example is given.

Author Biographies

  • Kouji Tahata, Tokyo University of Science
    Faculty of Science and Technology, Assistant Professor
  • Kouji Yamamoto, Osaka University Hospital
    Center for Clinical Investigation and Research, Research Lecturer
  • Sadao Tomizawa, Tokyo University of Science
    Faculty of Science and Technology, Professor

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Published

2017-08-06

Issue

Vol. 6 No. 3: (July 2013)

Section

Mathematical Statistics

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How to Cite

Decomposition of Symmetry Model into Three Models for Cumulative Probabilities in Square Contingency Tables. (2017). European Journal of Pure and Applied Mathematics, 6(3), 299-306. https://www.ejpam.com/index.php/ejpam/article/view/1552