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Olympic rankings based on objective weighting schemes.

Tomson Ogwang1, Danny I Cho2

  • 1Department of Economics, Brock University, St. Catharines, Canada.

Journal of Applied Statistics
|June 16, 2022
PubMed
Summary
This summary is machine-generated.

This study proposes a new weighting scheme for Winter Olympic medals based on medal counts. Results indicate equal weighting or using total medal counts is effective for rankings.

Keywords:
C18C38C43Olympic rankingsmedal countsobjective weighting schemeprincipal components analysisvariable reduction strategy

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Area of Science:

  • Sports Science
  • Data Analysis
  • Olympic Studies

Background:

  • Ranking Olympic medal counts involves subjective weighting schemes.
  • Objective methods are needed for consistent Winter Olympic performance evaluation.

Purpose of the Study:

  • To develop an objective principal components weighting scheme for Winter Olympic medals.
  • To evaluate the effectiveness of this scheme against existing methods.
  • To identify the most parsimonious medal count for rankings.

Main Methods:

  • Utilized principal components analysis (PCA) for objective weighting.
  • Applied the scheme to all-time Winter Olympic medal data.
  • Compared rankings generated by the proposed method with five alternative schemes using 2010 Vancouver Winter Olympics data.

Main Results:

  • The proposed scheme suggests assigning approximately equal weights to gold, silver, and bronze medals.
  • Alternatively, using total medal counts regardless of color is also effective for ranking.
  • Significant agreement was found between the proposed methodology and existing ranking schemes.
  • PCA identified the silver medal count as the best single representative for parsimonious rankings.

Conclusions:

  • Objective weighting schemes, particularly those based on total medal counts or equal weights, provide reliable Winter Olympic rankings.
  • Principal components analysis offers a robust method for determining medal importance and simplifying ranking variables.
  • Silver medals may serve as a sufficient proxy for overall Winter Olympic performance in simplified ranking models.