文章基本信息

标题：Measure of departure from marginal point-symmetry for two-way contingency tables
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作者：Kouji Yamamoto ; Kouji Tahata ; Motoko Suzuki 等
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.