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The use of bootstrapped Malmquist indices to reassess productivity change findings: an application to a sample of Polish farms

  • Kelvin Balcombe
  • Sophia Davidova
  • Laure Latruffe

This article assesses the extent to which sampling variation affects findings about Malmquist productivity change derived using data envelopment analysis (DEA), in the first stage by calculating productivity indices and in the second stage by investigating the farm-specific change in productivity. Confidence intervals for Malmquist indices are constructed using Simar and Wilson's (1999) bootstrapping procedure. The main contribution of this article is to account in the second stage for the information in the second stage provided by the first-stage bootstrap. The DEA SEs of the Malmquist indices given by bootstrapping are employed in an innovative heteroscedastic panel regression, using a maximum likelihood procedure. The application is to a sample of 250 Polish farms over the period 1996 to 2000. The confidence intervals' results suggest that the second half of 1990s for Polish farms was characterized not so much by productivity regress but rather by stagnation. As for the determinants of farm productivity change, we find that the integration of the DEA SEs in the second-stage regression is significant in explaining a proportion of the variance in the error term. Although our heteroscedastic regression results differ with those from the standard OLS, in terms of significance and sign, they are consistent with theory and previous research.

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Article provided by Taylor & Francis Journals in its journal Applied Economics.

Volume (Year): 40 (2008)
Issue (Month): 16 ()
Pages: 2055-2061

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Handle: RePEc:taf:applec:v:40:y:2008:i:16:p:2055-2061
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  1. Simar, Leopold & Wilson, Paul W., 1999. "Estimating and bootstrapping Malmquist indices," European Journal of Operational Research, Elsevier, vol. 115(3), pages 459-471, June.
  2. SIMAR, Léopold & WILSON, Paul, 1995. "Sensitivity Analysis to Efficiency Scores : How to Bootstrap in Nonparametric Frontier Models," CORE Discussion Papers 1995043, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. Chaplin, Hannah & Davidova, Sophia & Gorton, Matthew, 2002. "Non-Agricultural Diversification of Farm Households and Corporate Farms in Central Europe," Workshop on the Farm Household-Firm Unit: Its Importance in Agriculture and Implications for Statistics, April 12-13, 2002, Wye Campus,Imperial College 15728, International Agricultural Policy Reform and Adjustment Project (IAPRAP).
  4. Simar, L. & Wilson, P.W., 1999. "Statistical Inference in Nonparametric Frontier Models: the State of the Art," Papers 9904, Catholique de Louvain - Institut de statistique.
  5. Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982. "The Economic Theory of Index Numbers and the Measurement of Input, Output, and Productivity," Econometrica, Econometric Society, vol. 50(6), pages 1393-1414, November.
  6. Tim J. Coelli & D.S. Prasada Rao, 2003. "Total Factor Productivity Growth in Agriculture: A Malmquist Index Analysis of 93 Countries,1980-2000," CEPA Working Papers Series WP022003, School of Economics, University of Queensland, Australia.
  7. 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.
  8. Tortosa-Ausina, Emili & Grifell-Tatje, Emili & Armero, Carmen & Conesa, David, 2008. "Sensitivity analysis of efficiency and Malmquist productivity indices: An application to Spanish savings banks," European Journal of Operational Research, Elsevier, vol. 184(3), pages 1062-1084, February.
  9. Simar, Leopold & Wilson, Paul W., 2007. "Estimation and inference in two-stage, semi-parametric models of production processes," Journal of Econometrics, Elsevier, vol. 136(1), pages 31-64, January.
  10. Bernhard Br�mmer & Thomas Glauben & Geert Thijssen, 2002. "Decomposition of Productivity Growth Using Distance Functions: The Case of Dairy Farms in Three European Countries," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 84(3), pages 628-644.
  11. Bernhard Brümmer, 2001. "Estimating confidence intervals for technical efficiency: the case of private farms in slovenia," European Review of Agricultural Economics, Foundation for the European Review of Agricultural Economics, vol. 28(3), pages 285-306, October.
  12. Chieko Umetsu & Thamana Lekprichakul & Ujjayant Chakravorty, 2003. "Efficiency and Technical Change in the Philippine Rice Sector: A Malmquist Total Factor Productivity Analysis," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 85(4), pages 943-963.
  13. Allen, Douglas W & Lueck, Dean, 1998. "The Nature of the Farm," Journal of Law and Economics, University of Chicago Press, vol. 41(2), pages 343-86, October.
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