For a two-way contingency table with an explanatory and a response variables, Tomizawa, Seo and Ebi (1997) proposed a measure which describes the proportional reduction in variation from the marginal distribution to the conditional distributions of the response. Also, Tomizawa and Ebi (1998) extended this measure into a multi-way contingency table with only one response variable (and the multiple explanatory variables). This paper extends these measures into a multi-way contingency table with multiple L (L ≥ 2) response variables (and the multiple explanatory variables), which have nominal categories. Examples are given.
Tomizawa, S., & Machida, M. (1999). Measure of Proportional Reduction in Variation for Multi-Way contingency Tables with Multiple Response Variables. The Egyptian Statistical Journal, 43(2), 167-182. doi: 10.21608/esju.1999.314528
MLA
Sadao Tomizawa; Mitsuaki Machida. "Measure of Proportional Reduction in Variation for Multi-Way contingency Tables with Multiple Response Variables", The Egyptian Statistical Journal, 43, 2, 1999, 167-182. doi: 10.21608/esju.1999.314528
HARVARD
Tomizawa, S., Machida, M. (1999). 'Measure of Proportional Reduction in Variation for Multi-Way contingency Tables with Multiple Response Variables', The Egyptian Statistical Journal, 43(2), pp. 167-182. doi: 10.21608/esju.1999.314528
VANCOUVER
Tomizawa, S., Machida, M. Measure of Proportional Reduction in Variation for Multi-Way contingency Tables with Multiple Response Variables. The Egyptian Statistical Journal, 1999; 43(2): 167-182. doi: 10.21608/esju.1999.314528
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