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  • 标题:Measure of Departure from Collapsed Symmetry for Multi-way Contingency Tables with Ordered Categories
  • 本地全文:下载
  • 作者:Kouji Yamamoto ; Kouji Tahata ; Asuka Hatori
  • 期刊名称:JOURNAL OF THE JAPAN STATISTICAL SOCIETY
  • 印刷版ISSN:1882-2754
  • 电子版ISSN:1348-6365
  • 出版年度:2010
  • 卷号:40
  • 期号:1
  • 页码:097-109
  • DOI:10.14490/jjss.40.097
  • 出版社:JAPAN STATISTICAL SOCIETY
  • 摘要:For multi-way tables with ordered categories, Tahata et al. \ (2008) considered the collapsed symmetry model, which indicates the symmetry for the tables collapsed the original table by choosing the cut point in the categories. The present paper proposes a measure to represent the degree of departure from collapsed symmetry for multi-way tables. The measure proposed is expressed by using the Cressie-Read power-divergence or the Patil-Taillie diversity index. The measure would be useful for comparing the degrees of departure from collapsed symmetry in several multi-way tables. Examples are given.
  • 关键词:Collapsed symmetry;Kullback-Leibler information;measure;power-divergence;Shannon entropy
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