Advances and Applications in Statistics
Volume 17, Issue 2, Pages 143 - 159
(August 2010)
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HARMONIC, GEOMETRIC AND ARITHMETIC MEANS TYPE UNCERTAINTY MEASURES FOR TWO-WAY CONTINGENCY TABLES WITH NOMINAL CATEGORIES
Kouji Yamamoto, Nobuko Miyamoto and Sadao Tomizawa
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Abstract: For two-way contingency tables with nominal categories in which the explanatory and response variables are not defined clearly, the present paper proposes a generalized measure which describes the proportional reduction in variation from the marginal distribution of one variable to the conditional distributions of the variable given the value of the other variable. The measure proposed includes measures of forms of harmonic, geometric and arithmetic means. Examples are also given. |
Keywords and phrases: arithmetic mean, diversity index, geometric mean, harmonic mean, Shannon entropy. |
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