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Limitations of the relative standard deviation of win percentages for measuring competitive balance in sports leagues

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  • P. Dorian Owen

    ()
    (Department of Economics, University of Otago)

Abstract

The relative standard deviation of win percentages, the most widely used measure of within-season competitive balance, has an upper bound which is very sensitive to variation in the numbers of teams and games played. Taking into account this upper bound provides additional insight into comparisons of competitive balance across leagues or over time.

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File URL: http://www.business.otago.ac.nz/econ/research/discussionpapers/DP_0908.pdf
File Function: Revised version, 2010
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Bibliographic Info

Paper provided by University of Otago, Department of Economics in its series Working Papers with number 0908.

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Length: 13 pages
Date of creation: Jul 2009
Date of revision: Mar 2010
Handle: RePEc:otg:wpaper:0908

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Keywords: Competitive balance; Relative standard deviation; Idealized standard deviation;

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References

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  1. P. Owen & Michael Ryan & Clayton Weatherston, 2007. "Measuring Competitive Balance in Professional Team Sports Using the Herfindahl-Hirschman Index," Review of Industrial Organization, Springer, vol. 31(4), pages 289-302, December.
  2. Rodney Fort & James Quirk, 1995. "Cross-subsidization, Incentives, and Outcomes in Professional Team Sports Leagues," Journal of Economic Literature, American Economic Association, vol. 33(3), pages 1265-1299, September.
  3. Oscar Bajo & Rafael Salas, 2002. "Inequality foundations of concentration measures: An application to the Hannah-Kay indices," Spanish Economic Review, Springer, vol. 4(4), pages 311-316.
  4. Joshua Utt & Rodney Fort, 2002. "Pitfalls to Measuring Competitive Balance With Gini Coefficients," Journal of Sports Economics, , vol. 3(4), pages 367-373, November.
  5. Kelly Goossens, 2006. "Competitive Balance in European Football - Comparison by Adapting Measures: National Measure of Seasonal Imbalance and Top 3," IASE Conference Papers 0620, International Association of Sports Economists.
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Cited by:
  1. P. Dorian Owen & Nicholas King, 2013. "Competitive Balance Measures in Sports Leagues: The Effects of Variation in Season Length," Working Papers 1309, University of Otago, Department of Economics, revised Jul 2013.
  2. P. Dorian Owen, 2010. "Measuring Parity in Sports Leagues with Draws: Further Comments," Working Papers 1005, University of Otago, Department of Economics, revised Jul 2010.
  3. repec:qut:auncer:2013_04 is not listed on IDEAS
  4. P. Dorian Owen, 2013. "Measurement of Competitive Balance and Uncertainty of Outcome," Working Papers 1311, University of Otago, Department of Economics, revised Aug 2013.
  5. Young Hoon Lee & Rodney Fort, 2011. "Competitive Balance:Time Series Lessons from the English Premier League," Working Papers 1102, Research Institute for Market Economy, Sogang University, revised Jun 2011.

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