Journal of the Korean Statistical Society

  • 제33권1호
  • /
  • Pages.129-147
  • /
  • 2004
  • /
  • 1226-3192(pISSN)
  • /
  • 2005-2863(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

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)
  • 발행 : 2004.03.01
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초록

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.

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참고문헌

  1. Categorical Data Analysis Agresti,A.
  2. Discrete Multivariate Analysis: Theory and Practice Bishop,Y.M.M.;Fienberg,S.E.;Holland,P.W.
  3. Biometrika v.39 Rank Analysis of incomplete block designs Ⅰ. The method of paired comparisons Bradley,R.A.;Terry,M.E.
  4. Annales de la Faculte des Sciences de l'Universite de Toulouse v.29 Contribution a I'analyse statistique des tableaux de correlation Caussinus,H.
  5. Journal of the Royal Statistical Society v.B46 Multinomial goodness-of-fit tests Cressie,N.;Read,T.R.C.
  6. Gendai Nihon no Kaikyuu Kouzou (Class Structure in Modern Japan: Theory, Method and Quantitative Analysis) Hashimoto,K
  7. Journal of the American Statistical Association v.77 Diversity as a concept and its measurement Patil,G.P.;Taillie,C.
  8. Goodness-of-Fit Statistics for Discrete Multivariate Data Read,T.R.C.;Cressie,N.
  9. Statistica Sinica v.4 Two kinds of measures of departure from symmetry in square contingency tables having nominal categories Tomizawa,S.
  10. Journal of the Korean Statistical Society v.27 Generalized measure of departure from global symmetry for square contingency tables with ordered categories Tomizawa,S.;Saitoh,K.
  11. Calcutta Statistical Association Bulletin v.49 Kullback-Leibler information type measure of departure from conditional symmetry and decomposition of measure from symmetry for contingency tables Tomizawa,S.;Saitoh,K.
  12. Journal of Applied Statistics v.25 Power-divergence-type measure of departure from symmetry for square contingency tables that have nominal categories Tomizawa,S.;Seo,T.;Yamamoto,H.
  13. Australian and New Zealand Journal of Statistics v.43 Measure of asymmetry for square contingency tables having ordered categories Tomizawa,S.;Miyamoto,N.;Hatanaka,Y.