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Selecting non-zero weights to evaluate effectiveness of basketball players with DEA

Author

Listed:
  • Cooper, W.W.
  • Ruiz, José L.
  • Sirvent, Inmaculada

Abstract

In this paper, we show how DEA may be used to identify component profiles as well as overall indices of performance in the context of an application to assessments of basketball players. We go beyond the usual uses of DEA to provide only overall indexes of performance. Our focus is, instead, on the multiplier values for the efficiently rated players. For this purpose we use a procedure that we recently developed that guarantees a full profile of non-zero weights, or "multipliers." We demonstrate how these values can be used to identify relative strengths and weaknesses in individual players. Here we also utilize the flexibility of DEA by introducing bounds on the allowable values to reflect the views of coaches, trainers and other experts on the basketball team for which evaluations are being conducted. Finally we show how these combinations can be extended by taking account of team as well as individual considerations.

Suggested Citation

  • Cooper, W.W. & Ruiz, José L. & Sirvent, Inmaculada, 2009. "Selecting non-zero weights to evaluate effectiveness of basketball players with DEA," European Journal of Operational Research, Elsevier, vol. 195(2), pages 563-574, June.
  • Handle: RePEc:eee:ejores:v:195:y:2009:i:2:p:563-574
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    References listed on IDEAS

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    1. Cooper, William W. & Ruiz, Jose L. & Sirvent, Inmaculada, 2007. "Choosing weights from alternative optimal solutions of dual multiplier models in DEA," European Journal of Operational Research, Elsevier, vol. 180(1), pages 443-458, July.
    2. Zak, Thomas A & Huang, Cliff J & Siegfried, John J, 1979. "Production Efficiency: The Case of Professional Basketball," The Journal of Business, University of Chicago Press, vol. 52(3), pages 379-392, July.
    3. Fried, Harold O. & Lambrinos, James & Tyner, James, 2004. "Evaluating the performance of professional golfers on the PGA, LPGA and SPGA tours," European Journal of Operational Research, Elsevier, vol. 154(2), pages 548-561, April.
    4. Angel Prieto & José ZofIo, 2001. "Evaluating Effectiveness in Public Provision of Infrastructure and Equipment: The Case of Spanish Municipalities," Journal of Productivity Analysis, Springer, vol. 15(1), pages 41-58, January.
    5. Thomas Sexton & Herbert Lewis, 2003. "Two-Stage DEA: An Application to Major League Baseball," Journal of Productivity Analysis, Springer, vol. 19(2), pages 227-249, April.
    6. Dyson, R. G. & Allen, R. & Camanho, A. S. & Podinovski, V. V. & Sarrico, C. S. & Shale, E. A., 2001. "Pitfalls and protocols in DEA," European Journal of Operational Research, Elsevier, vol. 132(2), pages 245-259, July.
    7. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    8. Sueyoshi, Toshiyuki & Ohnishi, Kenji & Kinase, Youichi, 1999. "A benchmark approach for baseball evaluation," European Journal of Operational Research, Elsevier, vol. 115(3), pages 429-448, June.
    9. R. Allen & A. Athanassopoulos & R.G. Dyson & E. Thanassoulis, 1997. "Weights restrictions and value judgements in Data Envelopment Analysis: Evolution, development and future directions," Annals of Operations Research, Springer, vol. 73(0), pages 13-34, October.
    10. Takamura, Yoshiharu & Tone, Kaoru, 2003. "A comparative site evaluation study for relocating Japanese government agencies out of Tokyo," Socio-Economic Planning Sciences, Elsevier, vol. 37(2), pages 85-102, June.
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    Citations

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    Cited by:

    1. Fusco, Elisa, 2015. "Enhancing non-compensatory composite indicators: A directional proposal," European Journal of Operational Research, Elsevier, vol. 242(2), pages 620-630.
    2. Thomas Sexton & Herbert Lewis, 2012. "Measuring efficiency in the presence of head-to-head competition," Journal of Productivity Analysis, Springer, vol. 38(2), pages 183-197, October.
    3. Torben Tiedemann & Tammo Francksen & Uwe Latacz-Lohmann, 2011. "Assessing the performance of German Bundesliga football players: a non-parametric metafrontier approach," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 19(4), pages 571-587, December.
    4. repec:pal:jorsoc:v:68:y:2017:i:11:d:10.1057_s41274-017-0180-0 is not listed on IDEAS
    5. repec:pal:jorsoc:v:60:y:2009:i:1:d:10.1057_jors.2008.170 is not listed on IDEAS
    6. Woodruff, Christopher J., 2010. "Multivariate optimisation for procurement of emergency services equipment - Teams of the best or the best of teams?," European Journal of Operational Research, Elsevier, vol. 205(1), pages 186-194, August.
    7. Lewis, Herbert F. & Lock, Kathleen A. & Sexton, Thomas R., 2009. "Organizational capability, efficiency, and effectiveness in Major League Baseball: 1901-2002," European Journal of Operational Research, Elsevier, vol. 197(2), pages 731-740, September.
    8. Zbranek, Peter, 2013. "Data Envelopment Analysis as a Tool for Evaluation of Employees’ Performance," Acta Oeconomica et Informatica, Faculty of Economics and Management, Slovak Agricultural University in Nitra (FEM SPU);Association of Agricultural Economists in Slovakia (APES), vol. 16(1).
    9. Zhang Li Li, 2011. "Group Identification Method for Features of Human Capital Inner Quality Structure," Journal of Management and Strategy, Journal of Management and Strategy, Sciedu Press, vol. 2(3), pages 102-105, September.
    10. Anthony Glass & Karligash Kenjegalieva & Jason Taylor, 2015. "Game, set and match: evaluating the efficiency of male professional tennis players," Journal of Productivity Analysis, Springer, vol. 43(2), pages 119-131, April.
    11. Ahn, Heinz & Neumann, Ludmila & Vazquez Novoa, Nadia, 2012. "Measuring the relative balance of DMUs," European Journal of Operational Research, Elsevier, vol. 221(2), pages 417-423.
    12. Villa, G. & Lozano, S., 2016. "Assessing the scoring efficiency of a football match," European Journal of Operational Research, Elsevier, vol. 255(2), pages 559-569.

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