Visualizing Incomplete and Partially Ranked Data

  • Authors:
  • Paul Kidwell;Guy Lebanon;William Cleveland

  • Affiliations:
  • Department of Statistics, Purdue University;College of Computing, Georgia Institute of Technology;Departments of Statistics and Computer Science, Purdue University

  • Venue:
  • IEEE Transactions on Visualization and Computer Graphics
  • Year:
  • 2008

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Abstract

Ranking data, which result from m raters ranking n items, are difficult to visualize due to their discrete algebraic structure, and the computational difficulties associated with them when n is large. This problem becomes worse when raters provide tied rankings or not all items are ranked.We develop an approach for the visualization of ranking data for large n which is intuitive, easy to use, and computationally efficient. The approach overcomes the structural and computational difficulties by utilizing a natural measure of dissimilarity for rater, and projecting the raters into a low dimensional vector space where they are viewed. The visualization techniques are demonstrated using voting data, jokes, and movie preferences.