GAUSS DISCREPANCY TYPE MEASURE OF DEGREE OF RESIDUALS FROM SYMMETRY FOR SQUARE CONTINGENCY TABLES

  • Tomizawa, Sadao (Department of Information Sciences, Faculty of Science & Technology, Science University of Tokyo) ;
  • Murata, Mariko (Department of Statistical Science, School of Mathematical and Physical Science, The Graduate University for Advanced Studies, The Institute of Statistical Mathematics)
  • Published : 1992.06.01

Abstract

A measure is proposed to represent the degree of residuals from the symmetry model for square contingency tables with nominal categories. The measure is derivedby modifying the sum of squared singular values for a skew symmetric matrix of the residuals from the symmetry model. The proposed measure would be useful for comparing the degree of residuals from the symmetry model in several tables.

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