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A Comparison of Alternative Approaches to Determinants of DEA Efficiency Scores  

Kim, Seong-Ho (인하대학교 경영학부)
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Abstract
Many papers have used a two-stage approach of first calculating DEA efficiency scores and then seeking to correlate these scores with various environmental variables. Most of the studies have not checked whether such a two-stage approach is statistically valid for identifying significant environmental variables. Recently Simar and Wilson (2007) (SW) introduce a sensible data generating process and bootstrap procedure based on truncated regression for the two-stage approach. Banker and Natarajan (2008) (BN) provide a statistical foundation for the two-stage approach comprising a DEA followed by an ordinary least squares or maximum likelihood estimation. Researchers have to identify an approach suitable for their research circumstances in terms of properties, merits, demerits, and robustness to plausible departures from its chosen data generating process. We summarize the foundations and properties of the two-stage procedures suggested by SW and BN. And we discuss merits and demerits of those procedures. Also using Monte Carlo simulation we assess their relative performance under several misspecified settings.
Keywords
Data Envelopment Analysis; Truncated Regression; Stochastic Frontier; Bootstrap Procedure;
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1 Glass, J.C., D.G. McKillop, and S. Rasaratnam, "Irish Credit Unions : Investigating Performance Determinants and the Opportunity Cost of Regulatory Compliance," Journal of Banking and Finance, Vol.34(2010), pp.67-76.   DOI   ScienceOn
2 Sexton, T.R., S. Sleeper, and R.E. Taggart, Jr., "Improving Pupil Transportation in North Carolina," Interfaces, Vol.24, No.1(1994), pp.87-103.   DOI   ScienceOn
3 Shephard, R.W., Cost and Production Functions, Princeton, NJ : Princeton University Press, 1953.
4 Simar, L. and P.W. Wilson, "Estimation and Inference in Two-Stage, Semi-Parametric Models of Production Processes," Journal of Econometrics, Vol.136, No.1(2007), pp.31-64.   DOI   ScienceOn
5 Chilingerian, J.A., "Evaluating Physician Efficiency in Hospitals : A Multivariate Analysis of Best Practices," European Journal of Operational Research, Vol.80, No.3(1995), pp.548-574.   DOI   ScienceOn
6 Coelli, T.J., D.S.P. Rao, C.J. O'Donnell, and G. E. Battese, An Introduction to Efficiency and Productivity Analysis, 2nd ed., New York : Springer Science, 2005.
7 Farrell, M.J., "The Measurement of Productive Efficiency," Journal of the Royal Statistical Society, Series A, General, Vol.120, No.3(1957), pp.253-281.   DOI   ScienceOn
8 Greene, W.H., "Maximum Likelihood Estimation of Econometric Frontier Functions," Journal of Econometrics, Vol.13, No.1(1980), pp.27-56.   DOI   ScienceOn
9 Greene, W.H., LIMDEP Version 9/0 : Econometric Modeling Guide Vol.2, New York : Econometric Software, Inc., 2007.
10 Greene, W.H., Econometric Analysis 6th Edition, NJ : Prentice Hall., 2008
11 Grosche, P., "Measuring Residential Energy Efficiency Improvements with DEA," Journal of Productivity Analysis, Vol.31, No.2(2009), pp.87-94.   DOI   ScienceOn
12 Grosskopf, S., "Statistical Inference and Nonparametric Efficiency : A Selective Survey," Journal of Productivity Analysis, Vol.7, No.2/3 (1996), pp.161-176.   DOI
13 Aly, H.Y., R. Grabowski, C. Pasurka, and N. Rangan, "Technical, Scale, and Allocative Efficiencies in U.S. Banking : An Empirical Investigation," The Review of Economics and Statistics, Vol.72, No.2(1990), pp.211-218.   DOI   ScienceOn
14 Caudill, S.B., M.F. Jon, and D.M. Gropper, "Frontier Estimation and Firm-Specific Inefficiency Measures in the Presence of Heteroscedasticity," Journal of Business and Economic Statistics, Vol.13, No.1(1995), pp.105-111.   DOI   ScienceOn
15 Charnes, A., W.W. Cooper, and E.L. Rhodes, "Measuring the Efficiency of Decision Making Units," European Journal of Operational Research, Vol.2, No.6(1978), pp.429-444.   DOI   ScienceOn
16 Aigner, D., C.A.K. Lovell, and P. Schmidt, "Formulation and Estimation of Stochastic Frontier Production Function Models," Journal of Econometrics, Vol.6, No.1(1977), pp.21-37.   DOI   ScienceOn
17 Venables, W.N., D.M. Smith and the R Development Core Team, An Introduction to R-Notes on R : A Programming Environment for Data Analysis and Graphics(Version 2.9.0), 2009, http://cran.r-project.org/.
18 Simar, L. and P.W. Wilson, "Statistical Inference in Nonparametric Frontier Models : Recent Developments and Perspectives," in H.O. Fried, C.A.K. Lovell, and S.S. Schmidt, eds., The Measurement of Productive Efficiency and Productivity Growth, New York : Oxford University Press, 2008, pp.421-521.
19 StatsCorp., Stata Statistical Software : Release 10.0 College Station, TX : Stata Corpration, 2007.
20 Syrjanen, M.J., "Non-discretionary and Discretionary Factors and Scale in Data Envelopment Analysis," European Journal of Operational Research, Vol.158, No.1(2004), pp.20-33.   DOI   ScienceOn
21 Wang, H.-J., and P. Schmidt, "One-Step and Two-Step Estimation of the Effects of Exogenous Variables on Technical Efficiency Levels," Journal of Productivity Analysis, Vol.18, No.2 (2002), pp.29-144.
22 McDonald, J., "Using Least Squares and Tobit in Second Stage DEA Efficiency Analyses," European Journal of Operational Research, Vol.197, No.2(2009), pp.792-798.   DOI   ScienceOn
23 Kumbhakar, S.C., S. Ghosh, and J.T. McGuckin, "A Generalized Production Frontier Approach for Estimating Determinants of Inefficiency in U.S. Dairy Farms," Journal of Business and Economic Statistics, Vol.9, No.3(1991), pp.279-286.   DOI   ScienceOn
24 Latruffe, L., S. Davidova, and K. Balcombe, "Application of a Double Bootstrap to Investigation of Determinants of Technical Efficiency of Farms in Central Europe," Journal of Productivity Analysis, Vol.29, No.2(2008), pp.183-191.   DOI   ScienceOn
25 Makhorin, A., GNU Linear Programming Kit : Reference Mannual (Version 4.39), Boston : Free Software Foundation, Inc., 2008.
26 Muñiz, M., J. Paradi, J. Ruggiero, and Z. Yang, "Evaluating Alternative DEA Models used to Control for Non-discretionary Inputs," Computers and Operations Research, Vol.33, No.5 (2006), pp.1173-1183.   DOI   ScienceOn
27 Nyman, J.A. and D.L. Bricker, "Profit Incentives and Technical Efficiency in the Production of Nursing Home Care," Review of Economics and Statistics, Vol.71, No.4(1989), pp.586-594.   DOI   ScienceOn
28 Picazo-Tadeo, A.J., and A. Garcia-Reche, "What Makes Environmental Performance Differ Between Firms? Empirical Evidence from the Spanish Tile Industry," Environment and Planning A, Vol.39, No.9(2007), pp.2232- 2247.   DOI   ScienceOn
29 Ray, S.C., "Resource-Use Efficiency in Public Schools : A Study of Connecticut Data," Management Science, Vol.37, No.12(1991), pp.1620-1628.   DOI   ScienceOn
30 Gstach, D., "Another Approach to Data Envelopment Analysis in Noisy Environments : DEA+," Journal of Productivity Analysis, Vol.9, No.2(1998), pp.161-76.   DOI   ScienceOn
31 Kneip, A., B.U. Park, and L. Simar, "A Note on the Convergence of Nonparametric DEA Estimators for Production Efficiency Scores," Econometric Theory, Vol.14, No.6(1998), pp.783- 793.
32 Kravtsova, V., "Foreign Presence and Efficiency in Transition Economies," Journal of Productivity Analysis, Vol.29, No.2(2008), pp. 91-102.   DOI   ScienceOn
33 Barros, C.P. and P.U.C. Dieke, "Measuring the Economic Efficiency of Airports : A Simar- Wilson Methodology Analysis," Transportation Research Part E : Logistics and Transportation Review, Vol.44, No.6(2008), pp.1039-1051.   DOI   ScienceOn
34 Bierens, H.J., Topics in Advanced Econometrics, Cambridge University Press, Cambridge, UK., 1994.
35 Bjurek, H., U. Kjulin, B. Gustafsson, and D.L. Bosworth, "Efficiency, Productivity and Determinants of Inefficiency at Public Day Care Centers in Sweden : Comment," Scandinavian Journal of Economics, Vol.94, No. Supplement (1992), pp.S173-S191.   DOI
36 Byrnes, P., R. Fare, S. Grosskopf, and C.A.K. Lovell, "The Effect of Unions on Productivity: U.S. Surface Mining of Coal," Management Science, Vol.34, No.9(1988), pp.1037-1053.
37 Camanho, A.S., M.C. Portela, and C.B. Vaz, "Efficiency Analysis Accounting for Internal and External Non-discretionary Factors," Computers and Operations Research, Vol.36, No.5 (2009), pp.1591-1601.   DOI   ScienceOn
38 Carrington, R., N. Puthucheary, D. Rose, and S. Yaisawarng, "Performance Measurement in Government Service Provision : The Case of Police Services in New South Wales," Journal of Productivity Analysis, Vol.8, No.4(1997), pp.415-430.   DOI   ScienceOn
39 Banker, R.D., "Maximum Likelihood, Consistency and Data Envelopment Analysis : A Statistical Foundation," Management Science, Vol.39, No.10(1993), pp.1265-1273.   DOI   ScienceOn
40 Alvarez, A., C. Amsler, L. Orea, and P. Schmidt, "Interpreting and Testing the Scaling Property in Models where Inefficiency Depends on Firm Characteristics," Journal of Productivity Analysis, Vol.25, No.3(2006), pp.201-212.   DOI   ScienceOn
41 Banker, R.D., A. Charnes, and W.W. Cooper, "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, Vol.30, No.9 (1984), pp.1078-1092.   DOI   ScienceOn
42 Banker, R.D. and R. Natarajan, "Evaluating Contextual Variables Affecting Productivity Using Data Envelopment Analysis," Operations Research, Vol.56, No.1(2008), pp.48-58.   DOI   ScienceOn