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Comparing the Performance of Baseball Players: A Multiple-Output Approach

  • Koop G.

In this paper, we extend ideas from the economics literature on multiple output production and efficiency to develop methods for comparing baseball players which take into account the fact that there are many dimensions to batting performance. A key part of our approach is the estimation of an output aggregation based on the performance of the best players in baseball. An individual player can then be measured relative to the best and a number between zero and one characterizes his performance as a fraction of the best. The methods are applied using data from 1995-1999 on all regular players in baseball's major leagues.

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Article provided by American Statistical Association in its journal Journal of the American Statistical Association.

Volume (Year): 97 (2002)
Issue (Month): (September)
Pages: 710-720

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Handle: RePEc:bes:jnlasa:v:97:y:2002:m:september:p:710-720
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  1. Carmen Fernandez & Gary Koop & Mark F J Steel, 2003. "Alternative efficiency measures for multiple-output production," ESE Discussion Papers 65, Edinburgh School of Economics, University of Edinburgh.
  2. Stijn Reinhard & C.A. Knox Lovell & Geert Thijssen, 1999. "Econometric Estimation of Technical and Environmental Efficiency: An Application to Dutch Dairy Farms," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 81(1), pages 44-60.
  3. Carmen Fernandez & Mark F J Steel & Gary Koop, 2002. "Multiple-output production with undesirable output: An application to nitrogen surplus in agriculture," ESE Discussion Papers 34, Edinburgh School of Economics, University of Edinburgh.
  4. van den Broeck, Julien & Koop, Gary & Osiewalski, Jacek & Steel, Mark F. J., 1994. "Stochastic frontier models : A Bayesian perspective," Journal of Econometrics, Elsevier, vol. 61(2), pages 273-303, April.
  5. Fernandez, Carmen & Osiewalski, Jacek & Steel, Mark F. J., 1997. "On the use of panel data in stochastic frontier models with improper priors," Journal of Econometrics, Elsevier, vol. 79(1), pages 169-193, July.
  6. DepkenII, Craig A., 2000. "Wage disparity and team productivity: evidence from major league baseball," Economics Letters, Elsevier, vol. 67(1), pages 87-92, April.
  7. KOOP, Gary & STEEL, Mark F. & OSIEWALSKI, Jacek, 1994. "Posterior Analysis of Stochastic Frontier Models using Gibbs Sampling," CORE Discussion Papers 1994061, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Christopher Ferrall & Anthony A. Smith, Jr., . "A Sequential Game Model of Sports Championship Series: Theory and Estimation," GSIA Working Papers 1997-38, Carnegie Mellon University, Tepper School of Business.
  9. Carmen Fernandez & Gary Koop & Mark F J Steel, 1999. "A Bayesian analysis of multiple-output production frontier," ESE Discussion Papers 21, Edinburgh School of Economics, University of Edinburgh.
  10. Koop, G. & Osiewalski, J. & Steel, M. F. J., . "Bayesian efficiency analysis through individual effects: Hospital cost frontiers," CORE Discussion Papers RP 1245, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  11. Kahn, Lawrence M, 1993. "Free Agency, Long-Term Contracts and Compensation in Major League Baseball: Estimates from Panel Data," The Review of Economics and Statistics, MIT Press, vol. 75(1), pages 157-64, February.
  12. Scully, Gerald W, 1974. "Pay and Performance in Major League Baseball," American Economic Review, American Economic Association, vol. 64(6), pages 915-30, December.
  13. Schmidt, Peter & Sickles, Robin C, 1984. "Production Frontiers and Panel Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 367-74, October.
  14. Efthymios Tsionas, 2000. "Full Likelihood Inference in Normal-Gamma Stochastic Frontier Models," Journal of Productivity Analysis, Springer, vol. 13(3), pages 183-205, May.
  15. Chapman, Kenneth S & Southwick, Lawrence, Jr, 1991. "Testing the Matching Hypothesis: The Case of Major-League Baseball," American Economic Review, American Economic Association, vol. 81(5), pages 1352-60, December.
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