Decomposition of Measure for Marginal Homogeneity in Square Contingency Tables with Ordered Categories

Authors

  • Kouji Yamamoto Tokyo University of Science, Japan
  • Sadao Tomizawa Tokyo University of Science, Japan

DOI:

https://doi.org/10.17713/ajs.v36i2.325

Abstract

For the analysis of square contingency tables with ordered categories, Tomizawa et al. (2003) considered a measure to represent the degree of departure from marginal homogeneity (MH). Tomizawa (1993) considered an extended marginal homogeneity (EMH) model. This paper (i) proposes a measure to represent the degree of departure from EMH, (ii) proposes a measure from equality of marginal means (E), and (iii) gives a theorem that the value of measure for MH is equal to the sum of the value of measure for EMH and that for E.

References

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Published

2016-04-03

How to Cite

Yamamoto, K., & Tomizawa, S. (2016). Decomposition of Measure for Marginal Homogeneity in Square Contingency Tables with Ordered Categories. Austrian Journal of Statistics, 36(2), 105–114. https://doi.org/10.17713/ajs.v36i2.325

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Articles