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Comparing Structural Efficiency of Unbalanced Subsamples: A Resampling Adaptation of Data Envelopment Analysis

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  • Gstach, Dieter

Abstract

This paper investigates the performance of a bootstrapping enhanced DEA to measure the relative structural efficiency of unbalanced subsamples. Although this issue plays an important role in applied DEA, it is often ignored, resulting in misleading conclusions concerning relative efficiency. It is shown, that a resampling approach to DEA can cope with this problem and also allows the use of pooled samples. The distribution of a statistic to test the hypotheses of equal structural efficiency is derived from Monte Carlo simulations and compared with the corresponding statistic calculated from standard DEA results. While the resampling variant of DEA justifies the use of the normal approximation, this is not the case for standard DEA.

Suggested Citation

  • Gstach, Dieter, 1995. "Comparing Structural Efficiency of Unbalanced Subsamples: A Resampling Adaptation of Data Envelopment Analysis," Empirical Economics, Springer, vol. 20(3), pages 531-542.
    • Handle: RePEc:spr:empeco:v:20:y:1995:i:3:p:531-42
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    Cited by:

    1. Dieter Gstach, 1996. "A new approach to stochastic frontier estimation: DEA+," Department of Economics Working Papers wuwp039, Vienna University of Economics and Business, Department of Economics.
    2. Thierry Post, 2001. "Performance Evaluation in Stochastic Environments Using Mean-Variance Data Envelopment Analysis," Operations Research, INFORMS, vol. 49(2), pages 281-292, April.
    3. X. M. Gonzalez & D. Miles, 2002. "Statistical precision of DEA: a bootstrap application to Spanish public services," Applied Economics Letters, Taylor & Francis Journals, vol. 9(2), pages 127-132.
    4. Chumpitaz, Ruben & Kerstens, Kristiaan & Paparoidamis, Nicholas & Staat, Matthias, 2010. "Comparing efficiency across markets: An extension and critique of the methodology," European Journal of Operational Research, Elsevier, vol. 205(3), pages 719-728, September.
    5. Gstach, Dieter, 1996. "A new approach to stochastic frontier estimation: DEA+," Department of Economics Working Paper Series 39, WU Vienna University of Economics and Business.
    6. Staat, Matthias, 2002. "Bootstrapped efficiency estimates for a model for groups and hierarchies in DEA," European Journal of Operational Research, Elsevier, vol. 138(1), pages 1-8, April.
    7. Dieter Gstach, 1998. "Another Approach to Data Envelopment Analysis in Noisy Environments: DEA+," Journal of Productivity Analysis, Springer, vol. 9(2), pages 161-176, March.
    8. Alexandre Marinho & Simone de Souza Cardoso & Vivian Vicente de Almeida, 2009. "Brasil e OCDE: Avaliação da Eficiência em Sistemas de Saúde," Discussion Papers 1370, Instituto de Pesquisa Econômica Aplicada - IPEA.

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