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Presenting DEA graphically

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  • Adler, Nicole
  • Raveh, Adi
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    Abstract

    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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    Bibliographic Info

    Article provided by Elsevier in its journal Omega.

    Volume (Year): 36 (2008)
    Issue (Month): 5 (October)
    Pages: 715-729

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    Handle: RePEc:eee:jomega:v:36:y:2008:i:5:p:715-729

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    Related research

    Keywords: Data envelopment analysis Multi-dimensional scaling Efficiency Co-Plot;

    References

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    13. 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.
    14. 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.
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    Cited by:
    1. Odeck, James, 2009. "Statistical precision of DEA and Malmquist indices: A bootstrap application to Norwegian grain producers," Omega, Elsevier, vol. 37(5), pages 1007-1017, October.
    2. Ma, Li-Ching, 2012. "Screening alternatives graphically by an extended case-based distance approach," Omega, Elsevier, vol. 40(1), pages 96-103, January.
    3. Avkiran, Necmi K., 2009. "Opening the black box of efficiency analysis: An illustration with UAE banks," Omega, Elsevier, vol. 37(4), pages 930-941, August.
    4. Siriopoulos, Costas & Tziogkidis, Panagiotis, 2010. "How do Greek banking institutions react after significant events?--A DEA approach," Omega, Elsevier, vol. 38(5), pages 294-308, October.
    5. Brocklesby, John, 2009. "Ethics beyond the model: How social dynamics can interfere with ethical practice in operational research/management science," Omega, Elsevier, vol. 37(6), pages 1073-1082, December.
    6. Adler, Nicole & Martini, Gianmaria & Volta, Nicola, 2013. "Measuring the environmental efficiency of the global aviation fleet," Transportation Research Part B: Methodological, Elsevier, vol. 53(C), pages 82-100.
    7. Stone, Zita & Filippaios, Fragkiskos & Stoian, Carmen, 2014. "Equity culture development in Central and Eastern Europe: The role of institutional and managerial factors," Research in International Business and Finance, Elsevier, vol. 31(C), pages 234-263.

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