Measure of Departure from Extended Marginal Homogeneity for Square Contingency Tables with Ordered Categories

Authors

  • Kouji Yamamoto Tokyo University of Science
  • Yukari Furuya Yukari Furuya Tokyo University of Science
  • Sadao Tomizawa Tokyo University of Science

DOI:

https://doi.org/10.57805/revstat.v5i3.52

Keywords:

cumulative probability, Kullback–Leibler information, marginal homogeneity, measure, ordered category, power-divergence, Shannon entropy, square contingency table

Abstract

For the analysis of square contingency tables, Tomizawa and Makii (2001), and Tomizawa, Miyamoto and Ashihara (2003) considered the measures to represent the degree of departure from marginal homogeneity (MH). Tomizawa (1984) considered an extended marginal homogeneity (EMH) model for square tables with ordered categories. This paper proposes a measure to represent the degree of departure from EMH. The measure proposed is expressed by using the Cressie and Read’s (1984) power-divergence or Patil and Taillie’s (1982) diversity index. The measure would be useful for comparing the degree of departure from EMH in several tables. Examples are given.

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Published

2007-12-07

How to Cite

Yamamoto , K., Yukari Furuya , Y. F. ., & Tomizawa , S. (2007). Measure of Departure from Extended Marginal Homogeneity for Square Contingency Tables with Ordered Categories. REVSTAT-Statistical Journal, 5(3), 269–283. https://doi.org/10.57805/revstat.v5i3.52

Issue

Vol. 5 No. 3 (2007): REVSTAT-Statistical Journal

Section

Article

License

Copyright (c) 2007 REVSTAT-Statistical Journal

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