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

Section

Mathematical Statistics

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://ejpam.com/index.php/ejpam/article/view/1552

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