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

Kouji Yamamoto, Kouji Tahata, Motoko Suzuki and Sadao Tomizawa
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Kouji Yamamoto: Center of Clinical Investigation and Researc h, Osaka University Hospital - Japan
Kouji Tahata: Department of Information Sciences, Faculty of Sciences and Technology Tokyo University of Sciences - Japan
Motoko Suzuki: Department of Information Sciences, Faculty of Sciences and Technology Tokyo University of Sciences - Japan
Sadao Tomizawa: Department of Information Sciences, Faculty of Sciences and Technology, Tokyo University of Sciences - Japan

Statistica, 2011, vol. 71, issue 3, 367-380

Abstract: For two-way contingency tables, Tomizawa (1985) considered the point-symmetry and marginal point-symmetry models, and omizawa, 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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:bot:rivsta:v:71:y:2011:i:3:p:367-380

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