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Statistical precision of DEA and Malmquist indices: A bootstrap application to Norwegian grain producers

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  • Odeck, James

Abstract

Previous applications of data envelopment analysis (DEA) and its subsequent Malmquist indices to efficiency and productivity measurements have been criticised for not providing statistical inferences regarding the significance of observed results. In this paper, DEA and a Malmquist index are combined with a bootstrap method in order to provide succinct statistical inferences that determine the performance of grain producers in Eastern Norway. The data cover the period between 1987 and 1997. Results reveal: (i) a significant degree of inefficiency (approximately 11%) and an average productivity progress of 38% over the period considered; (ii) the formidable productivity progress observed is primarily explained by technical efficiency changes that enabled producers to catch up with front runners; and (iii) environmental factors, such as weather conditions, impact both efficiency and productivity. Finally, the analysis reveals that using bootstrapping to make statistical inferences suggests that researchers should be careful in making performance comparisons based on conventional DEA methods, as any discovered differences may not be significant.

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  • Odeck, James, 2009. "Statistical precision of DEA and Malmquist indices: A bootstrap application to Norwegian grain producers," Omega, Elsevier, vol. 37(5), pages 1007-1017, October.
  • Handle: RePEc:eee:jomega:v:37:y:2009:i:5:p:1007-1017
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Rodrigo Taborda & Julieth Santamaría, 2011. "Productivity growth in electric energy retail in Colombia. A bootstrapped malmquist indices approach," DOCUMENTOS DE TRABAJO 009152, UNIVERSIDAD DEL ROSARIO.
    2. repec:blg:reveco:v:69:y:2017:i:6:p:7-17 is not listed on IDEAS
    3. Fallah-Fini, Saeideh & Triantis, Konstantinos & Rahmandad, Hazhir & de la Garza, Jesus M., 2015. "Measuring dynamic efficiency of highway maintenance operations," Omega, Elsevier, vol. 50(C), pages 18-28.
    4. Ramanathan, Ramakrishnan & Ramanathan, Usha, 2010. "A qualitative perspective to deriving weights from pairwise comparison matrices," Omega, Elsevier, vol. 38(3-4), pages 228-232, June.
    5. Alperovych, Yan & Amess, Kevin & Wright, Mike, 2013. "Private equity firm experience and buyout vendor source: What is their impact on efficiency?," European Journal of Operational Research, Elsevier, vol. 228(3), pages 601-611.
    6. Liu, John S. & Lu, Louis Y.Y. & Lu, Wen-Min & Lin, Bruce J.Y., 2013. "Data envelopment analysis 1978–2010: A citation-based literature survey," Omega, Elsevier, vol. 41(1), pages 3-15.
    7. Li, Ke & Lin, Boqiang, 2015. "Metafroniter energy efficiency with CO2 emissions and its convergence analysis for China," Energy Economics, Elsevier, vol. 48(C), pages 230-241.
    8. Assaf, A. George & Barros, Carlos & Sellers-Rubio, Ricardo, 2011. "Efficiency determinants in retail stores: a Bayesian framework," Omega, Elsevier, vol. 39(3), pages 283-292, June.
    9. Simon, Jose & Simon, Clara & Arias, Alicia, 2011. "Changes in productivity of Spanish university libraries," Omega, Elsevier, vol. 39(5), pages 578-588, October.
    10. repec:bla:ijhplm:v:31:y:2016:i:4:p:537-553 is not listed on IDEAS
    11. Simona Sanguineti & Alessio Tei, 2012. "L’efficienza delle aziende di Trasporto Pubblico Locale: confronto tra le maggiori realtà italiane," ECONOMIA E DIRITTO DEL TERZIARIO, FrancoAngeli Editore, vol. 2012(3), pages 359-377.
    12. Gharneh, Naser Shams & Nabavieh, Alireza & Gholamiangonabadi, Davoud & Alimoradi, Mohammad, 2014. "Productivity change and its determinants: Application of the Malmquist index with bootstrapping in Iranian steam power plants," Utilities Policy, Elsevier, vol. 31(C), pages 114-120.
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    14. Kang, Chao-Chung & Wu, Chin-Chia, 2013. "Statistical precision of productivity change: A bootstrap application to Taiwan’s telecommunications industry," Telecommunications Policy, Elsevier, vol. 37(11), pages 1015-1032.
    15. Yang, Jun & Zhang, Tengfei & Sheng, Pengfei & Shackman, Joshua D., 2016. "Carbon dioxide emissions and interregional economic convergence in China," Economic Modelling, Elsevier, vol. 52(PB), pages 672-680.
    16. Leme, Rafael C. & Paiva, Anderson P. & Steele Santos, Paulo E. & Balestrassi, Pedro P. & Galvão, Leandro de Lima, 2014. "Design of experiments applied to environmental variables analysis in electricity utilities efficiency: The Brazilian case," Energy Economics, Elsevier, vol. 45(C), pages 111-119.
    17. Yu, Yan & Wen, Zongguo, 2010. "Evaluating China's urban environmental sustainability with Data Envelopment Analysis," Ecological Economics, Elsevier, vol. 69(9), pages 1748-1755, July.

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