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DEA Presented Graphically Using Multi-Dimensional Scaling

In: Modeling Data Irregularities and Structural Complexities in Data Envelopment Analysis

Author

Listed:
  • Nicole Adler

    (Hebrew University of Jerusalem)

  • Adi Raveh

    (Hebrew University of Jerusalem)

  • Ekaterina Yazhemsky

    (Hebrew University of Jerusalem)

Abstract

The purpose of this chapter is to present data envelopment analysis (DEA) as a two-dimensional plot that permits an easy, graphical explanation of the results. Due to the multiple dimensions of the problem, graphical presentation of DEA results has proven somewhat elusive up to now. Co-Plot, a variant of multidimensional scaling, places each decision-making unit in a two-dimensional space in which the location of each observation is determined by all variables simultaneously. The graphical display technique exhibits observations as points and variables (ratios) as arrows, relative to the same center-of-gravity. Observations are mapped such that similar decision-making units are closely located on the plot, signifying that they belong to a group possessing comparable characteristics and behavior. In this chapter, we will analyze 19 Finnish Forestry Boards using Co-Plot to examine the original data and then to present the results of various weight-constrained DEA models, including that of PCA-DEA.

Suggested Citation

  • Nicole Adler & Adi Raveh & Ekaterina Yazhemsky, 2007. "DEA Presented Graphically Using Multi-Dimensional Scaling," Springer Books, in: Joe Zhu & Wade D. Cook (ed.), Modeling Data Irregularities and Structural Complexities in Data Envelopment Analysis, chapter 0, pages 171-187, Springer.
  • Handle: RePEc:spr:sprchp:978-0-387-71607-7_10
    DOI: 10.1007/978-0-387-71607-7_10
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    Cited by:

    1. Adler, Nicole & Liebert, Vanessa & Yazhemsky, Ekaterina, 2013. "Benchmarking airports from a managerial perspective," Omega, Elsevier, vol. 41(2), pages 442-458.

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