Power-divergence-type measure of departure from symmetry for square contingency tables that have nominal categories
Power-divergence-type measure of departure from symmetry for square contingency tables that have nominal categories
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DOI：
10.1080/02664769823115
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发表时间：
1998-06-01
影响因子：
1.5
通讯作者：
Yamamoto, H
中科院分区：
文献类型：
--
作者：
Tomizawa, S;Seo, T;Yamamoto, H
对于具有名义范畴的平方列联表，Tomizawa认为用两种测度来表示偏离对称性的程度。本文提出了这些措施的推广。建议的措施表示通过使用Cressie和Read的功率发散的平均值，或Patil和Taillie的多样性指数的平均值。拟议措施的特殊情况包括富泽的措施。拟议的衡量标准将有助于比较几个表格偏离对称的程度。
For square contingency tables that have nominal categories, Tomizawa considered two Kinds of measure to represent the degree of departure from symmetry. This paper proposes a generalization of those measures. The proposed measure is expressed by using the average of the power divergence of Cressie and Read, or the average of the diversity index of Patil and Taillie. Special cases of the proposed measure include Tomizawa's measures. The proposed measure would be useful for comparing the degree of departure from symmetry in several tables.