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Comparing Firm Performance Using Transitive Productivity Index Numbers in a Meta-frontier Framework




The meta-frontier framework has been used extensively for evaluating the technical efficiency of heterogeneous production units that can be classified into different groups. This paper shows how the framework can also be used to make total factor productivity (TFP) comparisons within and across groups. The paper develops a new measure of the distance between a group frontier and the meta-frontier (the so-called ‘technology gap’). It then shows how a spatially- and temporally-transitive TFP index can be decomposed into measures of global technical change (measuring movements in the metafrontier), local technical change (measuring movements in the group frontiers) and efficiency change (measuring movements towards or around the group frontiers). To illustrate the methodology, the paper examines the productive performance of road authorities responsible for maintaining interstate highways in the US state of Virginia.

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  • C.J. O'Donnell & S. Fallah-Fini & K, Triantis, 2011. "Comparing Firm Performance Using Transitive Productivity Index Numbers in a Meta-frontier Framework," CEPA Working Papers Series WP082011, School of Economics, University of Queensland, Australia.
  • Handle: RePEc:qld:uqcepa:68

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    References listed on IDEAS

    1. Christopher J. O'Donnell, 2010. "Measuring and decomposing agricultural productivity and profitability change ," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 54(4), pages 527-560, October.
    2. Worthington, Andrew C. & Lee, Boon L., 2008. "Efficiency, technology and productivity change in Australian universities, 1998-2003," Economics of Education Review, Elsevier, vol. 27(3), pages 285-298, June.
    3. Christopher J. O'Donnell, 2012. "Nonparametric Estimates of the Components of Productivity and Profitability Change in U.S. Agriculture," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 94(4), pages 873-890.
    4. Laurenceson, James & O'Donnell, Christopher, 2014. "New estimates and a decomposition of provincial productivity change in China," China Economic Review, Elsevier, vol. 30(C), pages 86-97.
    5. Chen, Zhuo & Song, Shunfeng, 2008. "Efficiency and technology gap in China's agriculture: A regional meta-frontier analysis," China Economic Review, Elsevier, vol. 19(2), pages 287-296, June.
    6. Christopher O’Donnell & D. Rao & George Battese, 2008. "Metafrontier frameworks for the study of firm-level efficiencies and technology ratios," Empirical Economics, Springer, vol. 34(2), pages 231-255, March.
    7. C.J. O'Donnell, 2008. "An aggregate quantity-price framework for measuring and Decomposing productivity and profitability change," CEPA Working Papers Series WP072008, School of Economics, University of Queensland, Australia.
    8. George Battese & D. Rao & Christopher O'Donnell, 2004. "A Metafrontier Production Function for Estimation of Technical Efficiencies and Technology Gaps for Firms Operating Under Different Technologies," Journal of Productivity Analysis, Springer, vol. 21(1), pages 91-103, January.
    9. George E. Battese & D. S. Prasada Rao, 2002. "Technology Gap, Efficiency, and a Stochastic Metafrontier Function," International Journal of Business and Economics, College of Business and College of Finance, Feng Chia University, Taichung, Taiwan, vol. 1(2), pages 87-93, August.
    10. Melville McMillan & Wing Chan, 2006. "University Efficiency: A Comparison and Consolidation of Results from Stochastic and Non-stochastic Methods," Education Economics, Taylor & Francis Journals, vol. 14(1), pages 1-30.
    11. Kontolaimou, Alexandra & Tsekouras, Kostas, 2010. "Are cooperatives the weakest link in European banking? A non-parametric metafrontier approach," Journal of Banking & Finance, Elsevier, vol. 34(8), pages 1946-1957, August.
    12. C.J. O'Donnell, 2011. "The Sources of Productivity Change in the Manufacturing Sectors of the U.S. Economy," CEPA Working Papers Series WP072011, School of Economics, University of Queensland, Australia.
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    1. Mitropoulos, Panagiotis & Talias, Μichael A. & Mitropoulos, Ioannis, 2015. "Combining stochastic DEA with Bayesian analysis to obtain statistical properties of the efficiency scores: An application to Greek public hospitals," European Journal of Operational Research, Elsevier, vol. 243(1), pages 302-311.

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