Testing over-representation of observations in subsets of a DEA technology

Mette Asmild, Jens Leth Hougaard, Ole Bent Olesen

Research output: Contribution to journalJournal articleResearchpeer-review


This paper proposes a test for whether data are over-represented in a given production zone, i.e. a subset of a production possibility set which has been estimated using the non-parametric Data Envelopment Analysis (DEA) approach. A binomial test is used that relates the number of observations inside such a zone to a discrete probability weighted relative volume of that zone. A Monte Carlo simulation illustrates the performance of the proposed test statistic and provides good estimation of both facet probabilities and the assumed common inefficiency distribution in a three dimensional input space. Potential applications include tests for whether benchmark units dominate more (or less) observations than expected.

Original languageEnglish
JournalEuropean Journal of Operational Research
Issue number1
Pages (from-to)88-96
Publication statusPublished - 1. Oct 2013


  • Benchmarks
  • Binomial test
  • Data Envelopment Analysis (DEA)
  • Data density
  • Over-representation


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