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

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

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    Bibliographic Info

    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 195 (2009)
    Issue (Month): 2 (June)
    Pages: 563-574

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    Handle: RePEc:eee:ejores:v:195:y:2009:i:2:p:563-574

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    Web page: http://www.elsevier.com/locate/eor

    Related research

    Keywords: Data envelopment analysis (DEA) Indexes of performance Efficiency Effectiveness Weights;

    References

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    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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 379-92, July.
    9. 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.
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    Cited by:
    1. 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).
    2. 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.

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