Article ID: | iaor20133617 |
Volume: | 230 |
Issue: | 1 |
Start Page Number: | 88 |
End Page Number: | 96 |
Publication Date: | Oct 2013 |
Journal: | European Journal of Operational Research |
Authors: | Hougaard Jens Leth, Asmild Mette, Olesen Ole B |
Keywords: | simulation: applications, production |
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.