On the relation between the association strength and other similarity measures

  • Authors:
  • Leo Egghe

  • Affiliations:
  • Universiteit Hasselt, Campus Diepenbeek, Agoralaan, B-3590 Diepenbeek, Belgium and Universiteit Antwerpen, Stadscampus, Venusstraat 35, B-2000 Antwerpen, Belgium

  • Venue:
  • Journal of the American Society for Information Science and Technology
  • Year:
  • 2010

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Abstract

A graph in van Eck and Waltman [JASIST, 60(8), 2009, p. 1644], representing the relation between the association strength and the cosine, is partially explained as a sheaf of parabolas, each parabola being the functional relation between these similarity measures on the trajectories $\vec {X} \cdot \vec {Y} = a$, a constant. Based on earlier obtained relations between cosine and other similarity measures (e.g., Jaccard index), we can prove new relations between the association strength and these other measures. © 2010 Wiley Periodicals, Inc.