IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i21p2688-d662724.html
   My bibliography  Save this article

Measuring Efficiency in the Summer Olympic Games Disciplines: The Case of the Spanish Athletes

Author

Listed:
  • Emilio Gómez-Déniz

    (Department of Quantitative Methods in Economics, TiDES Institute, University of Las Palmas de Gran Canaria, 35017 Las Palmas de Gran Canaria, Spain)

  • Nancy Dávila-Cárdenes

    (Department of Quantitative Methods in Economics, TiDES Institute, University of Las Palmas de Gran Canaria, 35017 Las Palmas de Gran Canaria, Spain)

  • Alejandro Leiva-Arcas

    (Faculty of Sport, Catholic University of Murcia, Guadalupe, 30107 Murcia, Spain)

  • María J. Martínez-Patiño

    (Olympic Studies Center, Faculty of Education and Sport, Campus A Xunqueira s/n, University of Vigo, 36005 Pontevedra, Spain)

Abstract

This paper estimates the technical efficiency of Olympic disciplines in which Spanish athletes participate, taking into account the results obtained in the last three Olympic Games. A stochastic production frontier model (normal-exponential), using two control variables linked to economic factors such as budget and sports scholarships, is estimated in order to obtain different Olympic sports’ efficiencies distinguished by gender, using data from 2005 to 2016. The results detect some differences among the considered disciplines. In all the cases, athletics, canoeing, cycling, swimming, and tennis, depending on the gender, reach better values. This paper’s novelty lies in the efficiency analysis carried out on the Olympic disciplines and athletes of a country and not on the country’s efficiency, which allows managers and stakeholders to decide about investments concerning disciplines and athletes.

Suggested Citation

  • Emilio Gómez-Déniz & Nancy Dávila-Cárdenes & Alejandro Leiva-Arcas & María J. Martínez-Patiño, 2021. "Measuring Efficiency in the Summer Olympic Games Disciplines: The Case of the Spanish Athletes," Mathematics, MDPI, vol. 9(21), pages 1-15, October.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:21:p:2688-:d:662724
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/21/2688/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/21/2688/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. William Greene, 2003. "Simulated Likelihood Estimation of the Normal-Gamma Stochastic Frontier Function," Journal of Productivity Analysis, Springer, vol. 19(2), pages 179-190, April.
    2. Meeusen, Wim & van den Broeck, Julien, 1977. "Efficiency Estimation from Cobb-Douglas Production Functions with Composed Error," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(2), pages 435-444, June.
    3. Battese, George E. & Corra, Greg S., 1977. "Estimation Of A Production Frontier Model: With Application To The Pastoral Zone Of Eastern Australia," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 21(3), pages 1-11, December.
    4. Nicolas Scelles & Wladimir Andreff & Liliane Bonnal & Madeleine Andreff & Pascal Favard, 2020. "Forecasting National Medal Totals at the Summer Olympic Games Reconsidered," Social Science Quarterly, Southwestern Social Science Association, vol. 101(2), pages 697-711, March.
    5. El Mehdi, Rachida & Hafner, Christian M., 2014. "Inference in stochastic frontier analysis with dependent error terms," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 102(C), pages 104-116.
    6. Vagenas, George & Vlachokyriakou, Eleni, 2012. "Olympic medals and demo-economic factors: Novel predictors, the ex-host effect, the exact role of team size, and the “population-GDP” model revisited," Sport Management Review, Elsevier, vol. 15(2), pages 211-217.
    7. Greene, William H., 1980. "Maximum likelihood estimation of econometric frontier functions," Journal of Econometrics, Elsevier, vol. 13(1), pages 27-56, May.
    8. Murray D. Smith, 2008. "Stochastic frontier models with dependent error components," Econometrics Journal, Royal Economic Society, vol. 11(1), pages 172-192, March.
    9. Greene, William H., 1980. "On the estimation of a flexible frontier production model," Journal of Econometrics, Elsevier, vol. 13(1), pages 101-115, May.
    10. Alejandro Leiva-Arcas & Raquel Vaquero-Cristóbal & Lucía Abenza-Cano & Antonio Sánchez-Pato, 2021. "Performance of high-level Spanish athletes in the Olympic Games according to gender," PLOS ONE, Public Library of Science, vol. 16(5), pages 1-11, May.
    11. Alexander Rathke & Ulrich Woitek, 2008. "Economics and the Summer Olympics," Journal of Sports Economics, , vol. 9(5), pages 520-537, October.
    12. Stevenson, Rodney E., 1980. "Likelihood functions for generalized stochastic frontier estimation," Journal of Econometrics, Elsevier, vol. 13(1), pages 57-66, May.
    13. Battese, George E. & Coelli, Tim J., 1988. "Prediction of firm-level technical efficiencies with a generalized frontier production function and panel data," Journal of Econometrics, Elsevier, vol. 38(3), pages 387-399, July.
    14. Emilio Gómez-Déniz & Jorge Pérez-Rodríguez, 2015. "Closed-form solution for a bivariate distribution in stochastic frontier models with dependent errors," Journal of Productivity Analysis, Springer, vol. 43(2), pages 215-223, April.
    15. Greene, William H., 1990. "A Gamma-distributed stochastic frontier model," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 141-163.
    16. George E. Battese & Greg S. Corra, 1977. "Estimation Of A Production Frontier Model: With Application To The Pastoral Zone Of Eastern Australia," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 21(3), pages 169-179, December.
    17. Leo Kahane, 2005. "Production Efficiency and Discriminatory Hiring Practices in the National Hockey League: A Stochastic Frontier Approach," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 27(1), pages 47-71, August.
    18. Bernd Frick & Young Lee, 2011. "Temporal variations in technical efficiency: evidence from German soccer," Journal of Productivity Analysis, Springer, vol. 35(1), pages 15-24, February.
    19. Trevor Collier & Andrew L. Johnson & John Ruggiero, 2011. "Measuring Technical Efficiency in Sports," Journal of Sports Economics, , vol. 12(6), pages 579-598, December.
    20. Andrew B. Bernard & Meghan R. Busse, 2004. "Who Wins the Olympic Games: Economic Resources and Medal Totals," The Review of Economics and Statistics, MIT Press, vol. 86(1), pages 413-417, February.
    21. Aigner, Dennis & Lovell, C. A. Knox & Schmidt, Peter, 1977. "Formulation and estimation of stochastic frontier production function models," Journal of Econometrics, Elsevier, vol. 6(1), pages 21-37, July.
    22. Hofler, Richard A. & Payne, James E., 1997. "Measuring efficiency in the National Basketball Association1," Economics Letters, Elsevier, vol. 55(2), pages 293-299, August.
    23. Carlos Pestana Barros & Stephanie Leach, 2007. "Technical efficiency in the English Football Association Premier League with a stochastic cost frontier," Applied Economics Letters, Taylor & Francis Journals, vol. 14(10), pages 731-741.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Juan Carlos Guevara-Pérez & Jorge Rojo-Ramos & Rudemarlyn Urdaneta-Camacho & Emilio Martín Vallespín, 2022. "Raiders of the Olympic Values: Perception of the Development of Women’s Canoeing in Spain for Tokyo 2021," IJERPH, MDPI, vol. 19(11), pages 1-10, June.

    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. Emilio Gómez-Déniz & Jorge Pérez-Rodríguez, 2015. "Closed-form solution for a bivariate distribution in stochastic frontier models with dependent errors," Journal of Productivity Analysis, Springer, vol. 43(2), pages 215-223, April.
    2. Tim J. Coelli, 1995. "Recent Developments In Frontier Modelling And Efficiency Measurement," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 39(3), pages 219-245, December.
    3. Luis R. Murillo‐Zamorano, 2004. "Economic Efficiency and Frontier Techniques," Journal of Economic Surveys, Wiley Blackwell, vol. 18(1), pages 33-77, February.
    4. Massimo Del Gatto & Adriana Di Liberto & Carmelo Petraglia, 2011. "Measuring Productivity," Journal of Economic Surveys, Wiley Blackwell, vol. 25(5), pages 952-1008, December.
    5. Reddy, Mahendra, 2002. "Implication of Tenancy Status on Productivity and Efficiency: Evidence from Fiji," Sri Lankan Journal of Agricultural Economics, Sri Lanka Agricultural Economics Association (SAEA), vol. 4, pages 1-20.
    6. Adwoa Asantewaa & Tooraj Jamasb & Manuel Llorca, 2022. "Electricity Sector Reform Performance in Sub-Saharan Africa: A Parametric Distance Function Approach," Energies, MDPI, vol. 15(6), pages 1-29, March.
    7. Maira Caño- Guiral, 1995. "Competitividad y eficiencia técnica. Un modelo de datos panel para la industria láctea uruguaya," Documentos de Trabajo (working papers) 0795, Department of Economics - dECON.
    8. Graziella Bonanno & Domenico De Giovanni & Filippo Domma, 2017. "The ‘wrong skewness’ problem: a re-specification of stochastic frontiers," Journal of Productivity Analysis, Springer, vol. 47(1), pages 49-64, February.
    9. Carlos Pestana Barros & Julio del Corral & Pedro Garcia-del-Barrio, 2008. "Identification of Segments of Soccer Clubs in the Spanish League First Division With a Latent Class Model," Journal of Sports Economics, , vol. 9(5), pages 451-469, October.
    10. Massimiliano Piacenza, 2002. "Regulatory Constraints and Cost Efficiency of the Italian Public Transit Systems: An Exploratory Stochastic Frontier Model," CERIS Working Paper 200202, CNR-IRCrES Research Institute on Sustainable Economic Growth - Torino (TO) ITALY - former Institute for Economic Research on Firms and Growth - Moncalieri (TO) ITALY.
    11. Das, Arabinda, 2013. "Estimation of Inefficiency using a Firm-specific Frontier Model," MPRA Paper 46168, University Library of Munich, Germany.
    12. Wang, Wei Siang & Schmidt, Peter, 2009. "On the distribution of estimated technical efficiency in stochastic frontier models," Journal of Econometrics, Elsevier, vol. 148(1), pages 36-45, January.
    13. Wen-Jhan Jane & Wei-Hsin Kong & Yi-Hsiue Wang, 2010. "Individual efficiency and club performance: a panel analysis of professional baseball," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 31(5), pages 363-372.
    14. Asefa, Shumet, 2011. "Analysis of technical efficiency of crop producing smallholder farmers in Tigray,Ethiopia," MPRA Paper 40461, University Library of Munich, Germany, revised 19 Sep 2012.
    15. Arabinda Das, 2015. "Copula-based Stochastic Frontier Model with Autocorrelated Inefficiency," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 7(2), pages 111-126, June.
    16. Edward Ebo ONUMAH & Bernhard BRÜMMER & Gabriele HÖRSTGEN-SCHWARK, 2010. "Productivity of the hired and family labour and determinants of technical inefficiency in Ghana's fish farms," Agricultural Economics, Czech Academy of Agricultural Sciences, vol. 56(2), pages 79-88.
    17. Mustafa U. Karakaplan & Levent Kutlu, 2019. "School district consolidation policies: endogenous cost inefficiency and saving reversals," Empirical Economics, Springer, vol. 56(5), pages 1729-1768, May.
    18. Schalk Hans Joachim & Untiedt Gerhard & Lüschow Jörg, 1995. "Technische Effizienz, Wachstum und Konvergenz in den Arbeitsmarktregionen der Bundesrepublik Deutschland (West). Eine ökonometrische Analyse für die Verarbeitende Industrie mit einem „Frontier Product," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 214(1), pages 25-49, February.
    19. Martin, Sheila Ann, 1992. "The effectiveness of state technology incentives: evidence from the machine tool industry," ISU General Staff Papers 1992010108000011381, Iowa State University, Department of Economics.
    20. Mulwa, Richard & Kabubo-Mariara, Jane, 2017. "Productive Efficiency and Its Determinants in a Changing Climate: A Monotonic Translog Stochastic Frontier Analysis," EfD Discussion Paper 17-6, Environment for Development, University of Gothenburg.

    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:gam:jmathe:v:9:y:2021:i:21:p:2688-:d:662724. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.