Two alternative approaches for selecting performance measures in data envelopment analysis

Mehdi Toloo*, Tomáš Tichý

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

42 Citations (Scopus)

Abstract

Data envelopment analysis seeks a frontier to envelop all data with data acting in a critical role in the process and in such a way measures the relative efficiency of each decision making unit in comparison with other units. There is a statistical and empirical rule that if the number of performance measures is high in comparison with the number of units, then a large percentage of the units will be determined as efficient, which is obviously a questionable result. It also implies that the selection of performance measures is very crucial for successful applications. In this paper, we extend both multiplier and envelopment forms of data envelopment analysis models and propose two alternative approaches for selecting performance measures under variable returns to scale. The multiplier form of selecting model leads to the maximum efficiency scores and the maximum discrimination between efficient units is achieved by applying the envelopment form. Also individual unit and aggregate models are formulated separately to develop the idea of selective measures. Finally, in order to illustrate the potential of the proposed approaches a case study using a data from a banking industry in the Czech Republic is utilized.

Original languageEnglish
Pages (from-to)29-40
Number of pages12
JournalMeasurement: Journal of the International Measurement Confederation
Volume65
DOIs
Publication statusPublished - Apr 2015
Externally publishedYes

Keywords

  • Banking industry
  • Data envelopment analysis
  • Decision making
  • Multiplier and envelopment forms
  • Selective measures
  • The rule of thumb

ASJC Scopus subject areas

  • Instrumentation
  • Electrical and Electronic Engineering

Cite this