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 reasampling 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.
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Aly YH, Grabowski R, Pasurka C, Rangan N (1990) Technical, scale and allocative efficiencies in US banking: An empirical investigation. The Review of Economics and Statistics 211–218
Banker RD (1991) Maximum likelihood, consistency and DEA: A statistical foundation. Management Science 10/39:1265–1273
Charnes A, Cooper WW, Rhodes E (1978) Measuring the efficiency of decision making units. European Journal of Operational Research (2):429–444
Charnes A, Cooper WW, Rhodes E (1981) Evaluating program and managerial efficiency: An application of DEA to program follow through. Management Science 27/6:668–697
Färe R, Grosskopf S, Lovell CAK (1985) The measurement of efficiency of production Kluwer-Nijhoff Publishing, Boston
Hall P (1992) The bootstrap and edgeworth expansion. Springer Verlag New York
Kittelsen SAC (1994) Monte Carlo simulations of DEA efficiency measures and hypothesis tests. Working paper presented at GPW
Korostelev AR, Simar L, Tsybakov AB (1993) Efficient estimation of monotone boundaries. Discussion paper presented at the Third European Workshop on Efficiency and Productivity Measurement at CORE, Belgium 21–23
Leibenstein H, Maital S (1992) Empirical estimation and partitioning of X-inefficiency: A data envelopment approach. American Economic Review, Papers and Proceedings 82/2:428–433
Lovell CAK, Pastor JT (1994) Unit invariant and translation invariant DEA models. Working paper
Simar L (1991) Estimating efficiencies from frontier models with panel data: A comparison of parametric, non-parametric and semi-parametric methods with bootstrapping. Journal of Productivity Analysis 3:171–191
Seiford LM (1990) A bibliography of data envelopment analysis (1978–1990). University of Massachusetts at Amherst, Department of Industrial Engineering and Operations Research
Tulkens H (1993) On FDH efficiency analysis: Some methodological issues and applications to retail banking courts and urban transit. Journal of Productivity Analysis
Wilson P (1994) A bootstrap methodology for nonparametric efficiency estimates. Unpublished paper, Dep of Economics UT Austin
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Comments from two anonymous referees helped substantially to improve the paper and is gratefully acknowledged. Of course I am responsible for any remaining errors.
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Gstach, D. Comparing structural efficiency of unbalanced subsamples: A resampling adaptation of data envelopment analysis. Empirical Economics 20, 531–542 (1995). https://doi.org/10.1007/BF01180681
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DOI: https://doi.org/10.1007/BF01180681