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Efficiency analysis to incorporate interval-scale data

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  • Dehnokhalaji, Akram
  • Korhonen, Pekka J.
  • Köksalan, Murat
  • Nasrabadi, Nasim
  • Wallenius, Jyrki

Abstract

We develop an approach to efficiency analysis to enable us to incorporate interval-scale data in addition to ratio-scale data. Our approach introduces a measure of inefficiency and identifies efficient units as is done in Data Envelopment Analysis. The basic idea in our approach is to find the "best" hyperplane separating the units that are better and worse than each unit. "Best" is defined in such a way that the number of not-better units is maximal. The efficiency measure is defined as a proportion of not-better units to all units. The results are invariant under a strictly increasing linear re-scaling of any input- or output-variables. Thus zeroes or negative values do not cause problems for the analysis. The approach is used to analyze the data of the research evaluation exercise recently carried out at the University of Joensuu, Finland.

Suggested Citation

  • Dehnokhalaji, Akram & Korhonen, Pekka J. & Köksalan, Murat & Nasrabadi, Nasim & Wallenius, Jyrki, 2010. "Efficiency analysis to incorporate interval-scale data," European Journal of Operational Research, Elsevier, vol. 207(2), pages 1116-1121, December.
    • Handle: RePEc:eee:ejores:v:207:y:2010:i:2:p:1116-1121
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    References listed on IDEAS

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    1. Köksalan, Murat & Büyükbasaran, Tayyar & Özpeynirci, Özgür & Wallenius, Jyrki, 2010. "A flexible approach to ranking with an application to MBA Programs," European Journal of Operational Research, Elsevier, vol. 201(2), pages 470-476, March.
    2. Tarja Joro & Pekka Korhonen & Jyrki Wallenius, 1998. "Structural Comparison of Data Envelopment Analysis and Multiple Objective Linear Programming," Management Science, INFORMS, vol. 44(7), pages 962-970, July.
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    Cited by:

    1. Nasrabadi, Nasim & Dehnokhalaji, Akram & Korhonen, Pekka & Lokman, Banu & Wallenius, Jyrki, 2022. "Robustness of efficiency scores in data envelopment analysis with interval scale data," European Journal of Operational Research, Elsevier, vol. 297(3), pages 1151-1161.
    2. Kristof De Witte & Laura López-Torres, 2017. "Efficiency in education: a review of literature and a way forward," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(4), pages 339-363, April.
    3. Johnes, Jill, 2015. "Operational Research in education," European Journal of Operational Research, Elsevier, vol. 243(3), pages 683-696.

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