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MEASURE OF DEPARTURE FROM QUASI-SYMMETRY AND BRADLEY-TERRY MODELS FOR SQUARE CONTINGENCY TABLES WITH NOMINAL CATEGORIES  

Kouji Tahata (Department of Information Sciences, Faculty of Science and Technology, Tokyo University of Science)
Nobuko Miyamoto (Department of Information Sciences, Faculty of Science and Technology, Tokyo University of Science)
Sadao Tomizawa (Department of Information Sciences, Faculty of Science and Technology, Tokyo University of Science)
Publication Information
Journal of the Korean Statistical Society / v.33, no.1, 2004 , pp. 129-147 More about this Journal
Abstract
For square contingency tables with nominal categories, this paper proposes a measure to represent the degree of departure from the quasi-symmetry (QS) model and the Bradley-Terry (BT) model. The measure proposed is expressed by using the Cressie and Read (1984)'s power-divergence or Patil and Taillie (1982)'s diversity index. The measure lies between 0 and 1, and it is useful for comparing the degree of departure from QS or BT in several tables.
Keywords
Bradley-Terry model; diversity index; Kullback-Leibler information; power-divergence; quasi-symmetry; Shannon entropy; square contingency table;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
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