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Comparing the Performance of Baseball Players: A Multiple Output Approach

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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File URL: http://www.econ.ed.ac.uk/papers/id72_esedps.pdf
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Paper provided by Edinburgh School of Economics, University of Edinburgh in its series ESE Discussion Papers with number 72.

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Length: 34
Date of creation: Apr 2001
Date of revision:
Handle: RePEc:edn:esedps:72
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  1. 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.
  2. 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.
  3. 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.
  4. Scully, Gerald W, 1974. "Pay and Performance in Major League Baseball," American Economic Review, American Economic Association, vol. 64(6), pages 915-30, December.
  5. 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).
  6. Osiewalski, Jacek & Steel, Mark F.J. & Koop, Gary, 1992. "Posterior analysis of stochastic frontier models using Gibbs sampling," DES - Working Papers. Statistics and Econometrics. WS 3677, Universidad Carlos III de Madrid. Departamento de Estadística.
  7. Fernandez, Carmen & Koop, Gary & Steel, Mark, 2000. "A Bayesian analysis of multiple-output production frontiers," Journal of Econometrics, Elsevier, vol. 98(1), pages 47-79, September.
  8. 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.
  9. Fernandez, Carmen & Koop, Gary & Steel, Mark F.J., 2005. "Alternative efficiency measures for multiple-output production," Journal of Econometrics, Elsevier, vol. 126(2), pages 411-444, June.
  10. 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.
  11. 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.
  12. 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.
  13. Efthymios Tsionas, 2000. "Full Likelihood Inference in Normal-Gamma Stochastic Frontier Models," Journal of Productivity Analysis, Springer, vol. 13(3), pages 183-205, May.
  14. DepkenII, Craig A., 2000. "Wage disparity and team productivity: evidence from major league baseball," Economics Letters, Elsevier, vol. 67(1), pages 87-92, April.
  15. 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.
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