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  • 标题:Measure of departure from marginal point-symmetry for two-way contingency tables
  • 本地全文:下载
  • 作者:Kouji Yamamoto ; Kouji Tahata ; Motoko Suzuki
  • 期刊名称:Statistica
  • 印刷版ISSN:1973-2201
  • 出版年度:2011
  • 卷号:71
  • 期号:3
  • 页码:367-380
  • DOI:10.6092/issn.1973-2201/3620
  • 语种:English
  • 出版社:Dep. of Statistical Sciences "Paolo Fortunati", Università di Bologna
  • 摘要: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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