JSM 2004 - Toronto

Abstract #302149

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Activity Number: 90
Type: Contributed
Date/Time: Monday, August 9, 2004 : 9:00 AM to 10:50 AM
Sponsor: Section on Statistics in Sports
Abstract - #302149
Title: Visualization Techniques to Display Pairwise Rankings
Author(s): Cathleen A. Platt*+
Companies: San Francisco State University
Address: 99 Stonegate Road, Portola Valley, CA, 94028,
Keywords: pairwise rankings ; visualization ; hockey
Abstract:

There are many circumstances, ranging from sports rating systems and post-season selections to consumer preference models, that rely upon pairwise rankings and supporting statistical models. This paper develops visual displays that capture and reveal the underlying structure of pairwise rankings. The techniques are applied to college hockey rankings. There are 58 teams in U.S. Division I NCAA hockey, each playing between 20 and 35 regular-season games. Sixteen teams are selected for post-season play. Five of the selections are automatic bids to conference champions, whereas the remaining 11 bids are determined by pairwise rankings. To complicate matters, the current selection criteria now include a "bonus" to a team's ratings percentage index (RPI) for "quality wins," defined as nonconference wins against a team in the Top 15 of RPI. More bonus points are awarded for neutral-site wins than home wins, and even more for road wins. Because the number of pairwise comparisons is large and the bonus-points uncertain, visual displays that capture the essence of the comparisons and rankings, and that easily can be updated following each game, should prove helpful.

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