Presenting DEA graphically
This paper introduces a methodology that permits presentation of the results of data envelopment analysis (DEA) graphically. A specialized form of multi-dimensional scaling, Co-Plot, enables presentation of the DEA results in a two-dimensional space, hence in a clear, understandable manner. When plotting ratios rather than original data, DEA efficient units can be visualized clearly, as well as their connections to specific variables and/or ratios. Furthermore, Co-Plot can be used in an exploratory data analysis to identify outliers, whose data require additional scrutiny, and potentially inconsequential variables that could be aggregated or removed from the analysis with little effect on the subsequent DEA results. The Co-Plot diagram of ratios presents super-efficient observations on an outer ring or sector of the plot and all reasonably efficient units on a slightly inner ring/sector, surrounding the remaining inefficient decision-making units. First, the well-known 35 Chinese Cities dataset is provided as an illustration. Second, a simulation study tests the applicability of Co-Plot to present the results of DEA.
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Volume (Year): 36 (2008)
Issue (Month): 5 (October)
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- 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.
- Talluri, Srinivas & Whiteside, Mary M. & Seipel, Scott J., 2000. "A nonparametric stochastic procedure for FMS evaluation," European Journal of Operational Research, Elsevier, vol. 124(3), pages 529-538, August.
- Adler, Nicole & Golany, Boaz, 2001. "Evaluation of deregulated airline networks using data envelopment analysis combined with principal component analysis with an application to Western Europe," European Journal of Operational Research, Elsevier, vol. 132(2), pages 260-273, July.
- Sueyoshi, Toshiyuki, 1992. "Measuring the industrial performance of Chinese cities by data envelopment analysis," Socio-Economic Planning Sciences, Elsevier, vol. 26(2), pages 75-88, April.
- 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.
- Weber, Charles A. & Desai, Anand, 1996. "Determination of paths to vendor market efficiency using parallel coordinates representation: A negotiation tool for buyers," European Journal of Operational Research, Elsevier, vol. 90(1), pages 142-155, April.
- Banker, Rajiv D. & Gadh, Vandana M. & Gorr, Wilpen L., 1993. "A Monte Carlo comparison of two production frontier estimation methods: Corrected ordinary least squares and data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 67(3), pages 332-343, June.
- Sinuany-Stern, Zilla & Friedman, Lea, 1998. "DEA and the discriminant analysis of ratios for ranking units," European Journal of Operational Research, Elsevier, vol. 111(3), pages 470-478, December.
- Adler, Nicole & Friedman, Lea & Sinuany-Stern, Zilla, 2002. "Review of ranking methods in the data envelopment analysis context," European Journal of Operational Research, Elsevier, vol. 140(2), pages 249-265, July.
- Charnes, Abraham & Cooper, William W. & Li, Shanling, 1989. "Using data envelopment analysis to evaluate efficiency in the economic performance of Chinese cities," Socio-Economic Planning Sciences, Elsevier, vol. 23(6), pages 325-344.
- R. D. Banker & A. Charnes & W. W. Cooper, 1984. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, INFORMS, vol. 30(9), pages 1078-1092, September.
- El-Mahgary, Sami & Lahdelma, Risto, 1995. "Data envelopment analysis: Visualizing the results," European Journal of Operational Research, Elsevier, vol. 83(3), pages 700-710, June.
- Dyson, R. G. & Allen, R. & Camanho, A. S. & Podinovski, V. V. & Sarrico, C. S. & Shale, E. A., 2001. "Pitfalls and protocols in DEA," European Journal of Operational Research, Elsevier, vol. 132(2), pages 245-259, July.
- Maital, Shlomo & Vaninsky, Alexander, 1999. "Data envelopment analysis with a single DMU: A graphic projected-gradient approach," European Journal of Operational Research, Elsevier, vol. 115(3), pages 518-528, June.
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