The analysis of symmetry and asymmetry : orthogonality of decomposition of symmetry into quasi-symmetry and marginal symmetry for multi-way tables
作者： Kouji Tahata , Sadao Tomizawa
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摘要: Pour l'analyse des tableaux carres, Caussinus (1965) a propose le modele de quasi-symetrie et montre qu'un tableau est symetrique si seulement s'il satisfait la fois egalite distributions marginales. Bishop, Fienberg Holland (1975, p. 307) ont note theoreme semblable valait pour les trois dimensions, tandis que Bhapkar Darroch l'ont donne dimension quelconque. Le but cet article (1) passer en revue questions symetrie, modeles eux-memes, leur decomposition mesures d'ecart au divers concepts symetrie asymetrie, (2) montrer que, multiples, statistique du rapport vraisemblance tester asymptotiquement equivalente somme statistiques analogues testant respectivement d'un certain ordre l'egalite marges l'ordre correspondant.
unirioja.es参考文章(86)
Ralph Allan Bradley, Milton E. Terry, Rank Analysis of Incomplete Block Designs: I. The Method of Paired Comparisons Biometrika. ,vol. 39, pp. 324- ,(1952) , 10.2307/2334029
A. G. Constantine, J. C. Gower, Graphical Representation of Asymmetric Matrices Applied Statistics. ,vol. 27, pp. 297- 304 ,(1978) , 10.2307/2347165
Shelby J. Haberman, Analysis of qualitative data ,(1978)
Caussinus, Thélot, Note complémentaire sur l'analyse statistique des migrations Annales de l'inséé. pp. 135- ,(1976) , 10.2307/20075215
John Aitchison, Large-Sample Restricted Parametric Tests Journal of the Royal Statistical Society: Series B (Methodological). ,vol. 24, pp. 234- 250 ,(1962) , 10.1111/J.2517-6161.1962.TB00456.X
H. A. David, The method of paired comparisons ,(1963)
Mark P. Becker, Quasisymmetric Models for the Analysis of Square Contingency Tables Journal of the royal statistical society series b-methodological. ,vol. 52, pp. 369- 378 ,(1990) , 10.1111/J.2517-6161.1990.TB01793.X
Sadao Tomizawa, THREE KINDS OF DECOMPOSITIONS FOR THE CONDITIONAL SYMMETRY MODEL IN A SQUARE CONTINGENCY TABLE Journal of the Japan Statistical Society. Japanese issue. ,vol. 14, pp. 35- 42 ,(1984) , 10.11329/JJSS1970.14.35
Sadao Tomizawa, Nobuko Miyamoto, Kouji Yamamoto, Decomposition for polynomial cumulative symmetry model in square contingency tables with ordered categories Metron-International Journal of Statistics. ,vol. 64, pp. 303- 314 ,(2006)
Noel Cressie, Timothy R.C. Read, Multinomial goodness-of-fit tests Journal of the royal statistical society series b-methodological. ,vol. 46, pp. 440- 464 ,(1984) , 10.1111/J.2517-6161.1984.TB01318.X