Measure of Departure From Local Symmetry for Square Contingency Tables


  •  Yusuke Saigusa    
  •  Mitsuhiro Takami    
  •  Aki Ishii    
  •  Sadao Tomizawa    

Abstract

For square contingency tables, this paper considers the local symmetry model which indicates that there is a symmetric structure of probabilities for only one of pairs of symmetric cells. Also it proposes the measure to express the degree of departure from the local symmetry model. The measure is expressed as the weighted harmonic mean of the diversity index including the Shannon entropy. Examples are given.



This work is licensed under a Creative Commons Attribution 4.0 License.
  • Issn(Print): 1927-7032
  • Issn(Onlne): 1927-7040
  • Started: 2012
  • Frequency: bimonthly

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