Advances and Applications in Statistics
Volume 40, Issue 1, Pages 75 - 91
(May 2014)
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MARGINAL POINT-SYMMETRY MEASURE FOR MULTI-WAY CONTINGENCY TABLES
Kouji Yamamoto, Kanau Kawasaki and Sadao Tomizawa
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Abstract: For two-way contingency tables, Yamamoto et al. [10] considered a measure that represents the degree of departure from marginal point-symmetry. The present paper extends the measure to multi-way tables. The proposed measure is expressed by using the Cressie-Read power-divergence or the Patil-Taillie diversity index. The measure could be useful for comparing the degrees of departure from marginal point-symmetry in several multi-way tables. Examples are given. |
Keywords and phrases: power-divergence, Kullback-Leibler information, Shannon entropy. |
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