IDEAS home Printed from https://ideas.repec.org/a/sae/jospec/v26y2025i8p953-975.html

Skills vs. Luck: Decomposing Deviations from Expected Performance in European Football Leagues

Author

Listed:
  • Felix Holzmeister
  • Magnus Johannesson

Abstract

Statistics on expected goals and expected points in football provide insights into teams’ expected performance based on data about shots. Some teams exceed expectations, while others fall short of this benchmark. In this preregistered study, we employ random-effects meta-analysis to decompose the deviation from expected performance into luck and skills, using data from the top seven European football leagues for men over three seasons. Our results indicate that approximately 40% of the variation in over-/underperformance during a league season is attributable to skills, while the remaining 60% is due to luck. Over a season of 38 matches, these estimates imply that the standard deviations in points attributed to skills and luck are roughly 6 points and 7 points, respectively. We demonstrate the significance of luck through simulations, indicating that, on average, it affects league rankings by 1.8 positions and showing that luck plays a decisive role in determining end-of-season outcomes.

Suggested Citation

  • Felix Holzmeister & Magnus Johannesson, 2025. "Skills vs. Luck: Decomposing Deviations from Expected Performance in European Football Leagues," Journal of Sports Economics, , vol. 26(8), pages 953-975, December.
  • Handle: RePEc:sae:jospec:v:26:y:2025:i:8:p:953-975
    DOI: 10.1177/15270025251374620
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1177/15270025251374620
    Download Restriction: no

    File URL: https://libkey.io/10.1177/15270025251374620?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Stefan Szymanski, 2010. "A Market Test for Discrimination in the English Professional Soccer Leagues," Palgrave Macmillan Books, in: Football Economics and Policy, chapter 6, pages 136-150, Palgrave Macmillan.
    2. Jacek P Dmochowski, 2023. "A statistical theory of optimal decision-making in sports betting," PLOS ONE, Public Library of Science, vol. 18(6), pages 1-22, June.
    3. Romain Gauriot & Lionel Page, 2019. "Fooled by Performance Randomness: Overrewarding Luck," The Review of Economics and Statistics, MIT Press, vol. 101(4), pages 658-666, October.
    4. Sumit Sarkar & Sooraj Kamath, 2023. "Does luck play a role in the determination of the rank positions in football leagues? A study of Europe’s ‘big five’," Annals of Operations Research, Springer, vol. 325(1), pages 245-260, June.
    5. Walter C. Neale, 1964. "The Peculiar Economics of Professional Sports," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 78(1), pages 1-14.
    6. Björn Bartling & Leif Brandes & Daniel Schunk, 2015. "Expectations as Reference Points: Field Evidence from Professional Soccer," Management Science, INFORMS, vol. 61(11), pages 2646-2661, November.
    7. Joseph Price & Justin Wolfers, 2010. "Racial Discrimination Among NBA Referees," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 125(4), pages 1859-1887.
    8. Julian P. T. Higgins & Simon G. Thompson & David J. Spiegelhalter, 2009. "A re‐evaluation of random‐effects meta‐analysis," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 172(1), pages 137-159, January.
    9. Martin Spann & Bernd Skiera, 2009. "Sports forecasting: a comparison of the forecast accuracy of prediction markets, betting odds and tipsters," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 28(1), pages 55-72.
    10. Fabian Wunderlich & Daniel Memmert, 2018. "The Betting Odds Rating System: Using soccer forecasts to forecast soccer," PLOS ONE, Public Library of Science, vol. 13(6), pages 1-18, June.
    11. Ben-Naim Eli & Vazquez Federico & Redner Sidney, 2006. "Parity and Predictability of Competitions," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 2(4), pages 1-14, October.
    12. Andreas Heuer & Oliver Rubner, 2012. "How Does the Past of a Soccer Match Influence Its Future? Concepts and Statistical Analysis," PLOS ONE, Public Library of Science, vol. 7(11), pages 1-7, November.
    13. repec:osf:osfxxx:sv9x2_v1 is not listed on IDEAS
    14. Christopher A. Parsons & Johan Sulaeman & Michael C. Yates & Daniel S. Hamermesh, 2011. "Strike Three: Discrimination, Incentives, and Evaluation," American Economic Review, American Economic Association, vol. 101(4), pages 1410-1435, June.
    15. P.-A. Chiappori, 2002. "Testing Mixed-Strategy Equilibria When Players Are Heterogeneous: The Case of Penalty Kicks in Soccer," American Economic Review, American Economic Association, vol. 92(4), pages 1138-1151, September.
    16. Daniel J. Benjamin & James O. Berger & Magnus Johannesson & Brian A. Nosek & E.-J. Wagenmakers & Richard Berk & Kenneth A. Bollen & Björn Brembs & Lawrence Brown & Colin Camerer & David Cesarini & Chr, 2018. "Redefine statistical significance," Nature Human Behaviour, Nature, vol. 2(1), pages 6-10, January.
      • Daniel Benjamin & James Berger & Magnus Johannesson & Brian Nosek & E. Wagenmakers & Richard Berk & Kenneth Bollen & Bjorn Brembs & Lawrence Brown & Colin Camerer & David Cesarini & Christopher Chambe, 2017. "Redefine Statistical Significance," Artefactual Field Experiments 00612, The Field Experiments Website.
    17. A. Heuer & O. Rubner, 2009. "Fitness, chance, and myths: an objective view on soccer results," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 67(3), pages 445-458, February.
    18. Simon Rottenberg, 1956. "The Baseball Players' Labor Market," Journal of Political Economy, University of Chicago Press, vol. 64(3), pages 242-242.
    19. Miller, Joshua Benjamin & Sanjurjo, Adam, 2018. "Surprised by the Hot Hand Fallacy? A Truth in the Law of Small Numbers," OSF Preprints sv9x2, Center for Open Science.
    20. Steven D. Levitt & Thomas J. Miles, 2014. "The Role of Skill Versus Luck in Poker Evidence From the World Series of Poker," Journal of Sports Economics, , vol. 15(1), pages 31-44, February.
    21. Joshua B. Miller & Adam Sanjurjo, 2018. "Surprised by the Hot Hand Fallacy? A Truth in the Law of Small Numbers," Econometrica, Econometric Society, vol. 86(6), pages 2019-2047, November.
    22. Anna Sandberg, 2018. "Competing Identities: A Field Study of In‐group Bias Among Professional Evaluators," Economic Journal, Royal Economic Society, vol. 128(613), pages 2131-2159, August.
    23. Marc Brechot & Raphael Flepp, 2020. "Dealing With Randomness in Match Outcomes: How to Rethink Performance Evaluation in European Club Football Using Expected Goals," Journal of Sports Economics, , vol. 21(4), pages 335-362, May.
    24. Emerson, John W. & Seltzer, Miki & Lin, David, 2009. "Assessing Judging Bias: An Example From the 2000 Olympic Games," The American Statistician, American Statistical Association, vol. 63(2), pages 124-131.
    25. Viechtbauer, Wolfgang, 2010. "Conducting Meta-Analyses in R with the metafor Package," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 36(i03).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Bar-Eli, Michael & Krumer, Alex & Morgulev, Elia, 2020. "Ask not what economics can do for sports - Ask what sports can do for economics," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 89(C).
    2. Cueva, Carlos, 2020. "Animal Spirits in the Beautiful Game. Testing social pressure in professional football during the COVID-19 lockdown," OSF Preprints hczkj, Center for Open Science.
    3. repec:osf:osfxxx:hczkj_v1 is not listed on IDEAS
    4. Raphael Flepp & Tim Pawlowski & Travis Richardson, 2025. "Suspense and Surprise in European Football," Papers 2506.21253, arXiv.org.
    5. Sandra Schneemann & Hendrik Scholten & Christian Deutscher, 2018. "The Impact of Age on Nationality Bias: Evidence from Ski Jumping," Papers 1808.03804, arXiv.org.
    6. Barry Reilly & Robert Witt, 2021. "The Effect of League Design on Spectator Attendance: A Regression Discontinuity Design Approach," Journal of Sports Economics, , vol. 22(5), pages 514-545, June.
    7. Thrane, Christer, 2025. "Nationalistic bias in experts’ player ratings in football," Economics Letters, Elsevier, vol. 247(C).
    8. Brandes, Leif & Brechot, Marc & Franck, Egon, 2015. "Managers’ external social ties at work: Blessing or curse for the firm?," Journal of Economic Behavior & Organization, Elsevier, vol. 109(C), pages 203-216.
    9. Sumit Sarkar & Sooraj Kamath, 2023. "Does luck play a role in the determination of the rank positions in football leagues? A study of Europe’s ‘big five’," Annals of Operations Research, Springer, vol. 325(1), pages 245-260, June.
    10. Paul Bose & Eberhard Feess & Helge Mueller, 2022. "Favoritism towards High-Status Clubs: Evidence from German Soccer," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 38(2), pages 422-478.
    11. António Osório, 2020. "Performance Evaluation: Subjectivity, Bias and Judgment Style in Sport," Group Decision and Negotiation, Springer, vol. 29(4), pages 655-678, August.
    12. Kerry L. Papps, 2020. "Sports at the vanguard of labor market policy," World of Labour, LISER, pages 481-481, October.
    13. Pedro Garcia‐del‐Barrio & Francesc Pujol, 2009. "The Rationality of Under‐employing the Best‐performing Soccer Players," LABOUR, CEIS, vol. 23(3), pages 397-419, September.
    14. Besters, Lucas, 2018. "Economics of professional football," Other publications TiSEM d9e6b9b7-a17b-4665-9cca-1, Tilburg University, School of Economics and Management.
    15. Jeffrey Chu & Saralees Nadarajah & Emmanuel Afuecheta & Stephen Chan & Ying Xu, 2014. "A statistical study of racism in English football," Quality & Quantity: International Journal of Methodology, Springer, vol. 48(5), pages 2915-2937, September.
    16. Alperen Kocsoy, 2025. "Meritocracy or Bias? The Determinants of Leadership Selection in Professional Football," World Journal of Applied Economics, WERI-World Economic Research Institute, vol. 11(2), pages 63-77, December.
    17. Hillary N. Morgan & Kurt W. Rotthoff, 2014. "The Harder The Task, The Higher The Score: Findings Of A Difficulty Bias," Economic Inquiry, Western Economic Association International, vol. 52(3), pages 1014-1026, July.
    18. Mario Lackner, 2024. "The Napoleon complex revisited," Economics working papers 2024-06, Department of Economics, Johannes Kepler University Linz, Austria.
    19. Robertson, Matthew J., 2018. "Contests with Ex-Ante Target Setting," CRETA Online Discussion Paper Series 47, Centre for Research in Economic Theory and its Applications CRETA.
    20. Chen, Shuoyu & Collins, Clay & Collins, Ivy, 2025. "Discrimination and subjective player ratings: Evidence from China," The Quarterly Review of Economics and Finance, Elsevier, vol. 103(C).
    21. Ryan Rodenberg, 2013. "Employee Discipline And Basketball Referees: A Prediction Market Approach," Journal of Prediction Markets, University of Buckingham Press, vol. 7(2), pages 43-54.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:sae:jospec:v:26:y:2025:i:8:p:953-975. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: SAGE Publications (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.