A Measure of Departure from Average Symmetry for Square Contingency Tables with Ordered Categories

Authors

  • Kouji Tahata Dept. of Information Sciences, Tokyo University of Science, Japan
  • Kouji Yamamoto Dept. of Information Sciences, Tokyo University of Science, Japan
  • Noriyuki Nagatani Dept. of Information Sciences, Tokyo University of Science, Japan
  • Sadao Tomizawa Dept. of Information Sciences, Tokyo University of Science, Japan

DOI:

https://doi.org/10.17713/ajs.v38i2.264

Abstract

For the analysis of square contingency tables, Tomizawa (1994), Tomizawa, Seo, and Yamamoto (1998), and Tomizawa, Miyamoto, and Hatanaka (2001) considered measures to represent the degree of departure from symmetry. However, the maximum value of these measures cannot distinguish two kinds of complete asymmetry (say, complete-upper-asymmetry and complete-lower-asymmetry). The present paper proposes a measure which can distinguish two kinds of complete asymmetry for square tables with ordered categories. Especially the proposed measure is useful for representing
the degree of departure from symmetry when the conditional symmetry model holds. Examples are given.

References

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Published

2016-04-03

How to Cite

Tahata, K., Yamamoto, K., Nagatani, N., & Tomizawa, S. (2016). A Measure of Departure from Average Symmetry for Square Contingency Tables with Ordered Categories. Austrian Journal of Statistics, 38(2), 101–108. https://doi.org/10.17713/ajs.v38i2.264

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Articles