Selecting non-zero weights to evaluate effectiveness of basketball players with DEA |
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Authors: | WW Cooper José L Ruiz Inmaculada Sirvent |
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Institution: | 1. The Red McCombs School of Business, The University of Texas at Austin, 1 University Station B6500, Austin, TX 78712-0212, USA;2. Centro de Investigación Operativa, Universidad Miguel Hernández, Avd. de la Universidad, s/n, 03202 Elche (Alicante), Spain |
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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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Keywords: | Data envelopment analysis (DEA) Indexes of performance Efficiency Effectiveness Weights |
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