Competitive balance is a key concept in sport because it creates an uncertainty on the outcome that leads to increased interest and demand for these events. The Spanish Professional Football League (LaLiga) has been one of the top European leagues in the last decade, and it has given rise to a particular research interest regarding its characteristics and structure. Since season 1995/96, LaLiga changed the number of points given to the winning teams, by awarding three points per victory instead of two. In this paper, we assess the impact of such a change on the competitive balance of LaLiga. Our analysis focuses on teams with varying levels of performance and follows a three-step approach. First, we cluster the teams according to their historical performance using an adjusted measure based on their credible intervals of winning ratios. Second, we calculate Kendall’s tau coefficient (according to our adjusted measure) in order to obtain the overall ranking turnover of teams between consecutive seasons. Third, we assess the causal impact of the adoption of the new scoring system, based on Kendall’s tau coefficients, for each cluster of teams. Our results show that the overall competitive balance decreased after the adoption of the new scoring system. However, the impact was not the same for all teams, being more significant for top teams and less significant for bottom teams. Moreover, our predictions using adjusted ARIMA models indicate that this difference in the competitive balance will persist for future seasons.
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Abadie, A., Diamond, A., & Hainmueller, J. (2010). Synthetic control methods for comparative case studies: Estimating the effect of California’s tobacco control program. Journal of the American Statistical Association, 105(490), 493-505.
Abrevaya, J. (2004). Fit to be tied: The incentive effects of overtime rules in professional hockey. Journal of Sports Economics, 5(3), 292-306.
Banerjee, A. N., Swinnen, J. F., & Weersink, A. (2007). Skating on thin ice: rule changes and team strategies in the NHL. Canadian Journal of Economics/Revue canadienne d’économique, 40(2), 493-514.
Brocas, I., & Carrillo, J. D. (2004). Do the “three-point victory” and “golden goal” rules make soccer more exciting? Journal of Sports Economics, 5(2), 169-185.
Brodersen Kh, G. F. K. J. R. N. S. S. L. (2015). Inferring causal impact using Bayesian structural time-series models. Annals of Applied Statistics, 9(1), 247-274.
Camillo, F., & D’Attoma, I. (2010). A new data mining approach to estimate causal effects of policy interventions. Expert Systems with Applications, 37(1), 171-181.
Cardoso Marques, A. n. (2009). Estimating Quality in Home Advantage and Competitive Balance in the Portuguese Football League. Journal of Quantitative Analysis in Sports, 5(2).
Chan, D., Ge, R., Gershony, O., Hesterberg, T., & Lambert, D. (2010). Evaluating online ad campaigns in a pipeline: causal models at scale. Paper presented at the Proceedings of the 16th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining.
Criado, R., Garcia, E., Pedroche, F., & Romance, M. (2013). A new method for comparing rankings through complex networks: Model and analysis of competitiveness of major European soccer leagues. Chaos: An Interdisciplinary Journal of Nonlinear Science, 23(4), 043114-043114.
Dilger, A., & Geyer, H. (2009). Are three points for a win really better than two? A comparison of German soccer league and cup games. Journal of Sports Economics, 10(3), 305-318.
Easton, S. T., & Rockerbie, D. W. (2005). Overtime! Rules and incentives in the national hockey league. Journal of Sports Economics, 6(2), 178-202.
Forrest, D., Beaumont, J., Goddard, J., & Simmons, R. (2005). Home advantage and the debate about competitive balance in professional sports leagues. Journal of Sports Sciences, 23(4), 439-445.
Fort, R. (2007). Comments on “Measuring Parity”. Journal of Sports Economics, 8(6), 642-651.
Fort, R., & Lee, Y. H. (2007). Structural change, competitive balance, and the rest of the major leagues. Economic Inquiry, 45(3), 519-532.
Fort, R., & Maxcy, J. (2003). Competitive balance in sports leagues: An introduction. Journal of Sports Economics, 4(2), 154-160.
Groot, L. (2008). Economics, Uncertainty and European Football: Trends in Competitive Balance: Northampton: Edward Elgar Publishing Limited.
Haugen, K. K. (2008). Point score systems and competitive imbalance in professional soccer. Journal of Sports Economics, 9(2), 191-210.
Hoeting, J. A., Madigan, D., Raftery, A. E., & Volinsky, C. T. (1999). Bayesian model averaging: a tutorial. Statistical Science, 382-401.
Hon, L. Y., & Parinduri, R. A. (2016). Does the three-point rule make soccer more exciting? Evidence from a regression discontinuity design. Journal of Sports Economics, 17(4), 377-395.
Hoover, K. D. (2012). Economic theory and causal inference. Philosophy of Economics, 13, 89-113.
Humphreys, B. R. (2002). Alternative measures of competitive balance in sports leagues. Journal of Sports Economics, 3(2), 133-148.
Hyndman, R. J., & Khandakar, Y. (2008). Automatic time series forecasting: the forecast package for R. Journal of Statistical Software, 26(3), 1-22.
Jacklin, P. B. (2005). Temporal changes in home advantage in English football since the Second World War: What explains improved away performance? Journal of Sports Sciences, 23(7), 669-679.
Karanfil, F. (2017). An empirical analysis of European football rivalries based on on-field performances. Sport Management Review, 20(5), 468-482.
Kent, R. A., Caudill, S. B., & Mixon Jr, F. G. (2013). Rules changes and competitive balance in European professional soccer: Evidence from an event study approach. Applied Economics Letters, 20(11), 1109-1112.
Leeds, M. A., & von Allmen, P. (2009). The Economic of Sports: The Pearson Series in Economics.
Lewis, R. A., Rao, J. M., & Reiley, D. H. (2011). Here, there, and everywhere: correlated online behaviors can lead to overestimates of the effects of advertising. Paper presented at the Proceedings of the 20th International Conference on World Wide Web.
Littlewood, M., Mullen, C., & Richardson, D. (2011). Football labour migration: An examination of the player recruitment strategies of the ‘big five’European football leagues 2004–5 to 2008–9. Soccer & Society, 12(6), 788-805.
Lopez, M. J. (2015). Inefficiencies in the National Hockey League points system and the teams that take advantage. Journal of Sports Economics, 16(4), 410-424.
Lu, J. F., Tang, J. B., Tang, Z. M., & Yang, J. Y. (2008). Hierarchical initialization approach for K-Means clustering. Pattern Recognition Letters, 29(6), 787-795.
Manasis, V., & Ntzoufras, I. (2014). Between-seasons competitive balance in European football: review of existing and development of specially designed indices. Journal of Quantitative Analysis in Sports, 10(2), 139-152.
Montes, F., Sala-Garrido, R., & Usai, A. (2014). The lack of balance in the Spanish first division football league. European Sport Management Quarterly, 14(3), 282-298.
Moschini, G. (2010). Incentives and Outcomes in a Strategic Setting: The 3-Points-for-a-Win System in Soccer. Economic Inquiry, 48(1), 65-79.
Mourão, P. R., & Teixeira, J. S. (2015). Gini playing soccer. Applied Economics, 47(49), 5229-5246.
Owen, P. D. (2010). Limitations of the relative standard deviation of win percentages for measuring competitive balance in sports leagues. Economics Letters, 109(1), 38-41.
Owen, P. D., Ryan, M., & Weatherston, C. R. (2007). Measuring competitive balance in professional team sports using the Herfindahl-Hirschman index. Review of Industrial Organization, 31(4), 289-302.
Ramchandani, G. (2012). Competitiveness of the English Premier League (1992-2010) and ten European football leagues (2010). International Journal of Performance Analysis in Sport, 12(2), 346-360.
Rubin, D. B., & Waterman, R. P. (2006). Estimating the causal effects of marketing interventions using propensity score methodology. Statistical Science, 206-222.
Sánchez, P. A., Garcia-Calvo, T., Leo, F. M., Pollard, R., & Gómez, M. A. (2009). An analysis of home advantage in the top two Spanish professional football leagues. Perceptual and Motor Skills, 108(3), 789-797.
Schmidt, M. B., & Berri, D. J. (2001). Competitive balance and attendance: The case of Major League Baseball. Journal of Sports Economics, 2(2), 145-167.
Szymanski, S. (2001). Income inequality, competitive balance and the attractiveness of team sports: Some evidence and a natural experiment from English soccer. The Economic Journal, 111(469), F69-F84.
Szymanski, S. (2003). The economic design of sporting contests. Journal of Economic Literature, 41(4), 1137-1187.
Szymanski, S., & Késenne, S. (2004). Competitive balance and gate revenue sharing in team sports. The Journal of Industrial Economics, 52(1), 165-177.
Trandel, G. A., & Maxcy, J. G. (2011). Adjusting winning-percentage standard deviations and a measure of competitive balance for home advantage. Journal of Quantitative Analysis in Sports, 7(1).
Vales-Vázquez, A., Casal-López, C., Gómez-Rodriguez, P., & Blanco-Pita, H. (2017). A comparison of competitive profiles across the Spanish football leagues. International Journal of Computer Science in Sport, 16(3), 207-220.
Winship, C. (2007). Counterfactuals and causal inference: Methods and principles for social research: Cambridge University Press.
Zheng, J., Oh, T., Kim, S., Dickson, G., & De Bosscher, V. (2017). Competitive balance trends in elite table tennis: the Olympic Games and World Championships 1988-2016. Journal of Sports Sciences, 1-9.