Measure of departure from marginal point-symmetry for two-way contingency tables


  • Kouji Yamamoto Osaka University Hospital
  • Kouji Tahata Science University of Tokio
  • Motoko Suzuki Science University of Tokio
  • Sadao Tomizawa Science University of Tokio



For two-way contingency tables, Tomizawa (1985) considered the point-symmetry and marginal point-symmetry models, and Tomizawa, Yamamoto and Tahata (2007) proposed a measure to represent the degree of departure from point-symmetry. The present paper proposes a measure to represent the degree of departure from marginal pointsymmetry for two-way tables. The proposed measure is expressed by using Cressie-Read power-divergence or Patil-Taillie diversity index. This measure would be useful for comparing the degrees of departure from marginal point-symmetry in several tables. The relationship between the degree of departure from marginal point-symmetry and the measure is shown when it is reasonable to assume underlying bivariate normal distribution. Examples are shown.


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How to Cite

Yamamoto, K., Tahata, K., Suzuki, M., & Tomizawa, S. (2011). Measure of departure from marginal point-symmetry for two-way contingency tables. Statistica, 71(3), 367–380.