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

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

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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: , ,
Keywords: simulation: applications, production
Abstract:

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.

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