Scandinavian Working Papers in Economics

Discussion Papers on Economics,
University of Southern Denmark, Department of Economics

No 2/2010: Testing over-representation of observations in subsets of a DEA technology

Mette Asmild (), Jens Leth Hougaard and Ole B. Olesen ()
Additional contact information
Mette Asmild: ORMS Group, Postal: Warwick Business School,Coventry, CV4 7AL, UK
Jens Leth Hougaard: Department of Operations Management, Postal: Copenhagen Business School /Handelshøjskolen, Solbjerg Plads 3, section B 5. floor, DK - 2000 Frederiksberg
Ole B. Olesen: Department of Business and Economics, Postal: University of Southern Denmark, Campusvej 55, DK-5230 Odense M, Denmark

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 suggests good estimation of both facet probabilities and the assumed common inefficiency distribution in a three dimensional input space.

Keywords: Data Envelopment Analysis (DEA); Over-representation; Data density; Binomial test; Convex hull

JEL-codes: C00; C40; C60; C80

27 pages, May 1, 2010

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