Collapsed Double Symmetry Model and Its Decomposition for Square Contingency Tables


  •  Kouji Yamamoto    
  •  Yuya Matsuda    
  •  Sadao Tomizawa    

Abstract

For a square contingency table with ordinal categories, there may be a case that one wants to analyze several collapsed tables obtained by combining some adjacent categories of the original table. This paper proposes some new models which indicate double symmetry, quasi double symmetry and marginal double symmetry for the collapsed square tables. It also gives a decomposition of the double symmetry model for collapsed tables. Two kinds of occupational mobility data are analyzed using new models.


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