Skip to main content
Log in

Metafrontier frameworks for the study of firm-level efficiencies and technology ratios

  • Original Paper
  • Published:
Empirical Economics Aims and scope Submit manuscript

Abstract

This paper uses the concept of a metafrontier to compare the technical efficiencies of firms that may be classified into different groups. The paper presents the basic analytical framework necessary for the definition of a metafrontier, shows how a metafrontier can be estimated using non-parametric and parametric methods, and presents an empirical application using cross-country agricultural sector data. The paper also explores the issues of technological change, time-varying technical inefficiency, multiple outputs, different efficiency orientations, and firm heterogeneity.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Atkinson SE, Färe R, Primont D (1998) Stochastic estimation of firm inefficiency using distance functions. Working Paper, Department of Economics, University of Georgia, Athens

  • Battese GE (1997) A note on the estimation of Cobb–Douglas production functions when some explanatory variables have zero values. J Agric Econ 48:250–252

    Article  Google Scholar 

  • Battese GE, Coelli TJ (1988) Prediction of firm-level technical efficiencies with a generalised frontier production function and panel data. J Econom 38:387–399

    Article  Google Scholar 

  • Battese GE, Coelli TJ (1995) A model for technical inefficiency effects in a stochastic frontier production function for panel data. Empir Econ 20:325–332

    Article  Google Scholar 

  • Battese GE, Rao DSP (2002) Technology potential, efficiency and a stochastic metafrontier function. Int J Bus Econ 1(2):1–7

    Google Scholar 

  • Battese GE, Rao DSP, O’Donnell CJ (2004) A metafrontier production function for estimation of technical efficiencies and technology potentials for firms operating under different technologies. J Product Anal 21:91–103

    Article  Google Scholar 

  • Chambers RG, Chung Y, Färe R (1996) Benefit and distance functions. J Econ Theory 70:407–419

    Article  Google Scholar 

  • Coelli TJ (1996a) A guide to FRONTIER version 4.1: a computer program for stochastic frontier production and cost function estimation. CEPA Working Papers, No. 7/96, Department of Econometrics, University of New England, Armidale

  • Coelli TJ (1996b) A guide to DEAP version 2.1: a data envelopment analysis (computer) program. CEPA Working Papers No. 8/96, Department of Econometrics, University of New England, Armidale

  • Coelli TJ (2000) On the econometric estimation of the distance function representation of a production technology. Discussion Paper 2000/42, Center for Operations Research and Econometrics, Universite Catholique de Louvain, Louvain-la-Neuve

  • Coelli TJ, Rao DSP, O’Donnell CJ, Battese GE (2005) Introduction to efficiency and productivity analysis, 2nd edn. Springer, Heidelberg

    Google Scholar 

  • Färe R, Primont D (1995) Multi-output production and duality: theory and applications. Kluwer, Boston

    Google Scholar 

  • Färe R, Grosskopf S, Noh D-W, Weber W (2005) Characteristics of a polluting technology: theory and practice. J Econom 126(2):469–492

    Article  Google Scholar 

  • Glass JC, McKillop DG, Hyndman N (1995) Efficiency in the provision of university teaching and research: An empirical analysis of UK universities. J Appl Econom 10(1):61–72

    Article  Google Scholar 

  • Hayami Y, Ruttan VW (1970) Agricultural productivity differences among countries. Am Econ Rev 40:895–911

    Google Scholar 

  • Hayami Y, Ruttan VW (1971) Agricultural development: an international perspective. Johns Hopkins University Press, Baltimore

    Google Scholar 

  • Luenberger DG (1992) Benefit functions and duality. J Math Econ 21(5):461–481

    Article  Google Scholar 

  • Luenberger D (1995) Microeconomic theory. McGraw-Hill, Boston

    Google Scholar 

  • Lovell CAK, Pastor JT (1997) Target setting: an application to a bank branch network. Eur J Oper Res 98:290–299

    Article  Google Scholar 

  • McMillan ML, Chan WH (2004) University efficiency: a comparison and consolidation of results from stochastic and non-stochastic methods. University of Alberta Economics Working Paper Series, No. 2005–04

  • O’Donnell CJ, Griffiths WE (2006) Estimating state-contingent production frontiers. Am J Agric Econ 88(1):249–266

    Article  Google Scholar 

  • O’Donnell CJ, van der Westhuizen G (2002) Regional comparisons of banking performance in South Africa. S Afr J Econ 70(3):485–518

    Google Scholar 

  • Orea L, Kumbhakar SC (2004) Efficiency measurement using a latent class stochastic frontier model. Empir Econ 29:169–183

    Article  Google Scholar 

  • Rao DSP (1993) Inter-country comparisons of agricultural output and productivity. Social and Economic Development Paper, No. 112, FAO of the United Nations, Rome

  • Wang H-J (2002) Heteroscedasticity and non-monotonic efficiency effects of a stochastic frontier model. J Product Anal 18:241–253

    Article  Google Scholar 

  • Worthington AC, Lee BL (2005) Efficiency, technology and productivity change in Australian universities, 1998–2003. University of Wollongong School of Accounting and Finance Working Paper Series, No. 05/01

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Christopher J. O’Donnell.

Rights and permissions

Reprints and permissions

About this article

Cite this article

O’Donnell, C.J., Rao, D.S.P. & Battese, G.E. Metafrontier frameworks for the study of firm-level efficiencies and technology ratios. Empirical Economics 34, 231–255 (2008). https://doi.org/10.1007/s00181-007-0119-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00181-007-0119-4

Keywords

Navigation