Measure of departure from marginal point-symmetry for two-way contingency tables
Measure of departure from marginal point-symmetry for two-way contingency tables
复制标题
双向列联表偏离边际点对称性的度量
DOI：
10.6092/issn.1973-2201/3620
复制
发表时间：
2011
期刊：
影响因子：
1.9
通讯作者：
S. Tomizawa
中科院分区：
文献类型：
--
作者：
Kouji Yamamoto;Kouji Tahata;Motoko Suzuki;S. Tomizawa
对于双向列联表，Tomizawa(1985)考虑了点对称和边界点对称模型，Oizawa，Yamamoto和Tahata(2007)提出了一个度量来表示偏离点对称的程度。本文提出了一种度量双向表偏离边界点对称性程度的方法。该度量用Cressie-Read功率散度或Patil-Taillie分集指数来表示。这种测量方法对于比较几个表格中偏离边界点对称性的程度是有用的。当假设基本的二元正态分布是合理的时，给出了偏离边界点对称性的程度与度量之间的关系。文中给出了实例。
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.