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Bootstrapping the data envelopment analysis Malmquist productivity index

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  • Mickael Lothgren
  • Magnus Tambour

Abstract

This paper presents a bootstrap approach to calculate confidence intervals for firm-specific Malmquist productivity indices obtained from data envelopment analysis (DEA) models. The bootstrap is easily implemented and allows identification of production units that have significant productivity changes. An application using data from Swedish eye-care departments is included. We find that 40% of departments have significant progress in productivity whereas only 10% of the departments have a significant regress in productivity. This differs from the original results where about half the sample have estimates of progress and the other half have estimates of regress in productivity.

Suggested Citation

  • Mickael Lothgren & Magnus Tambour, 1999. "Bootstrapping the data envelopment analysis Malmquist productivity index," Applied Economics, Taylor & Francis Journals, vol. 31(4), pages 417-425.
  • Handle: RePEc:taf:applec:v:31:y:1999:i:4:p:417-425
    DOI: 10.1080/000368499324129
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    References listed on IDEAS

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    1. WILSON, Paul & SIMAR, Leopold, 1995. "Bootstrap Estimation for Nonparametric Efficiency Estimates," CORE Discussion Papers 1995071, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Cited by:

    1. Kanybek Nur-tegin, 2007. "Do Transition Economies and Developing Countries Have Similar Destinies?," Atlantic Economic Journal, Springer;International Atlantic Economic Society, vol. 35(3), pages 327-342, September.
    2. Lamb, John D. & Tee, Kai-Hong, 2012. "Resampling DEA estimates of investment fund performance," European Journal of Operational Research, Elsevier, vol. 223(3), pages 834-841.
    3. Joseph G. Hirschberg & Jenny N. Lye, 2001. "Clustering in a Data Envelopment Analysis Using Bootstrapped Efficiency Scores," Department of Economics - Working Papers Series 800, The University of Melbourne.
    4. Matthews, Kent & Zhang, Nina (Xu), 2010. "Bank productivity in China 1997-2007: Measurement and convergence," China Economic Review, Elsevier, vol. 21(4), pages 617-628, December.
    5. Kent Matthews & Nina Zhang, 2009. "Bank Productivity in China 1997-2007: An Exercise in Measurement," Working Papers 252009, Hong Kong Institute for Monetary Research.
    6. Jose Zofio, 2007. "Malmquist productivity index decompositions: a unifying framework," Applied Economics, Taylor & Francis Journals, vol. 39(18), pages 2371-2387.
    7. Hans J. Czap & Kanybek D. Nur-tegin, 2011. "Big Bang vs. Gradualism – A Productivity Analysis," EuroEconomica, Danubius University of Galati, issue 29, pages 38-56, August.
    8. André Leclerc & Mario Fortin, 2003. "Mesure De La Production Bancaire, Rationalisation Et Efficacité Des Caisses Populaires Desjardins," Cahiers de recherche 03-07, Departement d'Economique de l'École de gestion à l'Université de Sherbrooke.
    9. Theodoridis, A.M. & Psychoudakis, A. & Christofi, A., 2006. "Data Envelopment Analysis as a Complement to Marginal Analysis," Agricultural Economics Review, Greek Association of Agricultural Economists, vol. 7(2), August.

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