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A UNIVERSAL SOLUTION FOR UNITS - INVARIANCE IN DATA ENVELOPMENT ANALYSIS

Jin Xu (), Panagiotis Zervopoulos, Zhenhua Qian () and Gang Cheng ()
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Jin Xu: China Center for Health Development Studies Peking University, Beijing, China, Postal: CN
Zhenhua Qian: School of Social Science University of Science and Technology Beijing, China, Postal: CN
Gang Cheng: China Center for Health Development Studies Peking University, Beijing, China, Postal: CN

Theoretical and Practical Research in the Economic Fields, 2012, vol. 3, issue 2, 121-128

Abstract: The directional distance function model is a generalization of the radial model in data envelopment analysis (DEA). The directional distance function model is appropriate for dealing with cases where undesirable outputs exist. However, it is not a units-invariant measure of efficiency, which limits its accuracy. In this paper, we develop a data normalization method for DEA, which is a universal solution for the problem of units-invariance in DEA. The efficiency scores remain unchanged when the original data are replaced with the normalized data in the existing units-invariant DEA models, including the radial and slack-based measure models, i.e., the data normalization method is compatible with the radial and slack-based measure models. Based on normalized data, a units-invariant efficiency measure for the directional distance function model is defined.

Date: 2012
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Working Paper: A universal solution for units-invariance in data envelopment analysis (2012) Downloads
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