The super-efficiency procedure for outlier identification,not for ranking efficient units |
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| Institution: | 1. School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Minden, Penang, Malaysia;2. Department of Industrial Engineering, Sabzevar University of New Technology, 9615131113 Bardaskan Road, Sabzevar, Iran;3. College of Mathematics and Information Science, Hebei University, Baoding 071002, China;4. Aston Business School, Aston University, Brimingham, UK;5. Louvain School of Management, Centre of Operations Research and Econometrics, Universite Catholique de Louvain, 34 Voie du Roman Pays, B-1348 Louvain-la-Neuve, Belgium;1. INRA, UMRH, F-63122 Saint Genès-Champanelle, France;2. UMR Métafort, F-63178 Aubière, France;3. VetAgro Sup, UMR Métafort, F-63370 Lempdes, France;4. INRA, UMR SMART, F-35000 Rennes, France;1. School of Management, University of Science and Technology of China, 96 Jinzhai Road, Hefei, Anhui 230026, PR China;2. Dongwu Business School, Soochow University, 50 Donghuan road, Suzhou, Jiangsu 215021, PR China |
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| Abstract: | In this paper, we conduct simulation experiments to evaluate the performance of two alternative uses of the super-efficiency procedure in Data Envelopment Analysis (DEA). The first is for outlier identification and the second is for ranking efficient units. We find that the ranking procedure does not perform satisfactorily. In fact, the correlations between the true efficiency and the estimated super-efficiency are negative for the subset of efficient observations, and the conventional DEA model performs as well as the super-efficiency DEA model when all observations are considered. However, when data are contaminated with outliers, the use of the super-efficiency model to identify and remove outliers results in more accurate efficiency estimates than those obtained from the conventional DEA estimation model. |
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