Template-Type: ReDIF-Paper 1.0 Author-Name: Mette Asmild Author-Name-First: Mette Author-Name-Last: Asmild Author-Email: meas@foi.ku.dk Author-Workplace-Name: Institute of Food and Resource Economics, University of Copenhagen Author-Name: Jens Leth Hougaard Author-Name-First: Jens Leth Author-Name-Last: Hougaard Author-Email: jlh@foi.ku.dk Author-Workplace-Name: Institute of Food and Resource Economics, University of Copenhagen Author-Name: Ole B. Olesen Author-Name-First: Ole B. Author-Name-Last: Olesen Author-Workplace-Name: Department of Business and Economics, University of Southern Denmark Title: Testing over-representation of observations in subsets of a DEA technology 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. Length: 31 pages Creation-Date: 2011-12 File-URL: http://okonomi.foi.dk/workingpapers/MSAPpdf/MSAP2011/MSAP_WP04_2011.pdf File-Format: Application/pdf Number: 04_2011 Classification-JEL: Keywords: Data Envelopment Analysis (DEA), Over-representation, Data density, Binomial test, Convex hull Handle: RePEc:foi:msapwp:04_2011