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The Use of Bootstrapped Malmquist Indices to Reassess Productivity Change Findings: An Application to a Sample of Polish Farms

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Author Info
Balcombe, Kelvin
Davidova, Sophia
Latruffe, Laure

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Abstract

The paper assesses the extent to which sampling variation affects findings about Malmquist productivity change derived using Data Envelopment Analysis (DEA), in the first stage calculating productivity indices and in the second stage 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 the paper is to account in the second stage for the information provided by the bootstrap in the first stage. The DEA standard errors 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 1996-2000. The confidence intervals’ results suggest that contrary to what was reported by previous studies, the second half of 1990s for Polish farms was characterised 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 standard errors 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 Ordinary Least Squares, in terms of significance (fewer parameters are significant in our heteroscedastic regression) and sign (of the parameter of the share of other income in total income), they are consistent with theory and previous research. Family farms concentrating on farming experienced larger productivity progress than farms with hired labour and income diversification.

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Paper provided by International Association of Agricultural Economists in its series 2006 Annual Meeting, August 12-18, 2006, Queensland, Australia with number 25793.

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Date of creation: 2006
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Handle: RePEc:ags:iaae06:25793

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Keywords: productivity; Malmquist; bootstrapping; second-stage regression; Poland; Productivity Analysis;

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References listed on IDEAS
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  1. Allen, Douglas W & Lueck, Dean, 1998. "The Nature of the Farm," Journal of Law & Economics, University of Chicago Press, vol. 41(2), pages 343-86, October.
  2. 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. [Downloadable!]
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  3. 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.
  4. 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. [Downloadable!] (restricted)
  5. 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. [Downloadable!] (restricted)
  6. 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. [Downloadable!] (restricted)
  7. Brummer, Bernhard & Glauben, Thomas & Thijssen, Geert, 2002. " Decomposition of Productivity Growth Using Distance Functions: The Case of Dairy Farms in Three European Countries," American Journal of Agricultural Economics, American Agricultural Economics Association, vol. 84(3), pages 628-44, August. [Downloadable!] (restricted)
  8. 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, American Agricultural Economics Association, vol. 85(4), pages 943-963, November. [Downloadable!] (restricted)
  9. Simar, Leopold & Wilson, Paul W., 1999. "Estimating and bootstrapping Malmquist indices," European Journal of Operational Research, Elsevier, vol. 115(3), pages 459-471, June. [Downloadable!] (restricted)
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  1. Olson, Kent & Vu, Linh, 2009. "Productivity Growth, Technical Efficiency and Technical Change on Minnesota Farms," 2009 Annual Meeting, July 26-28, 2009, Milwaukee, Wisconsin 49204, Agricultural and Applied Economics Association. [Downloadable!]
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