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Employing super-efficiency analysis as an alternative to DEA: An application in outpatient substance abuse treatment

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  • Nahra, Tammie A.
  • Mendez, David
  • Alexander, Jeffrey A.

Abstract

A common technique for conducting efficiency analyses consists of a two-stage procedure that combines data envelopment analysis (DEA) with Tobit regression. As the DEA scores are censored at one, this method has the drawback of masking important information at the upper tail of the distribution of scores. In this paper, we present a DEA-based methodology for a two-stage efficiency analysis where the upper bound constraint of one for the efficiency scores is relaxed. This method, super-efficiency DEA, is contrasted with the two-stage approach that employs traditional, bounded DEA scores. We use data from the National Drug Abuse Treatment Survey to examine how the relative efficiency of the treatment units is affected by the organizational structures, operating characteristics and treatment modalities of a nationally representative sample of outpatient substance abuse treatment units. Our results show that the super-efficiency DEA approach offers advantages over the traditional methodology. It is easy to implement, and, for the same sample size provides more information.

Suggested Citation

  • Nahra, Tammie A. & Mendez, David & Alexander, Jeffrey A., 2009. "Employing super-efficiency analysis as an alternative to DEA: An application in outpatient substance abuse treatment," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1097-1106, August.
    • Handle: RePEc:eee:ejores:v:196:y:2009:i:3:p:1097-1106
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    1. Idson, Todd L & Robins, Philip K, 1991. "Determinants of Voluntary Overtime Decisions," Economic Inquiry, Western Economic Association International, vol. 29(1), pages 79-91, January.
    2. Wheeler, J.R.C. & Fadel, H. & D'Aunno, T.A., 1992. "Ownership and performance of outpatient substance abuse treatment centers," American Journal of Public Health, American Public Health Association, vol. 82(5), pages 711-718.
    3. Per Andersen & Niels Christian Petersen, 1993. "A Procedure for Ranking Efficient Units in Data Envelopment Analysis," Management Science, INFORMS, vol. 39(10), pages 1261-1264, October.
    4. Paul L. Joskow, 1980. "The Effects of Competition and Regulation on Hospital Bed Supply and the Reservation Quality of the Hospital," Bell Journal of Economics, The RAND Corporation, vol. 11(2), pages 421-447, Autumn.
    5. Liam O'Neill, 1998. "Multifactor efficiency in Data Envelopment Analysis with an application to urban hospitals," Health Care Management Science, Springer, vol. 1(1), pages 19-27, September.
    6. Bruce Hollingsworth & P.J. Dawson & N. Maniadakis, 1999. "Efficiency measurement of health care: a review of non‐parametric methods and applications," Health Care Management Science, Springer, vol. 2(3), pages 161-172, July.
    7. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    8. Jaume Puig‐Junoy, 1998. "Technical efficiency in the clinical management of critically ill patients," Health Economics, John Wiley & Sons, Ltd., vol. 7(3), pages 263-277, May.
    9. A. Charnes & W. W. Cooper & E. Rhodes, 1981. "Evaluating Program and Managerial Efficiency: An Application of Data Envelopment Analysis to Program Follow Through," Management Science, INFORMS, vol. 27(6), pages 668-697, June.
    10. C A K Lovell & A P B Rouse, 2003. "Equivalent standard DEA models to provide super-efficiency scores," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(1), pages 101-108, January.
    11. Tone, Kaoru, 2002. "A slacks-based measure of super-efficiency in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 143(1), pages 32-41, November.
    12. Zhu, Joe, 1996. "Robustness of the efficient DMUs in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 90(3), pages 451-460, May.
    13. D K Despotis, 2002. "Improving the discriminating power of DEA: focus on globally efficient units," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(3), pages 314-323, March.
    14. Mei Xue & Patrick T. Harker, 2002. "Note: Ranking DMUs with Infeasible Super-Efficiency DEA Models," Management Science, INFORMS, vol. 48(5), pages 705-710, May.
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