Inferring the incidence of industry inefficiency from DEA estimates
Data envelopment analysis (DEA) is among the most popular empirical tools for measuring cost and productive efficiency within an industry. Because DEA is a linear programming technique, establishing formal statistical properties for outcomes is difficult. We model the incidence of inefficiency within a population of decision making units (DMUs) as a latent variable, with DEA outcomes providing only noisy and generally inaccurate sample-based categorizations of inefficiency. We then use a Bayesian approach to infer an appropriate posterior distribution for the incidence of inefficiency within an industry based on a random sample of DEA outcomes and a prior distribution on that incidence. The approach applies to the empirically relevant case of a finite number of firms, and to sampling DMUs without replacement. It also accounts for potential mismeasurement in the DEA characterization of inefficiency within a coherent Bayesian approach to the problem. Using three different types of specialty physician practices, we provide an empirical illustration demonstrating that this approach provides appropriately adjusted inferences regarding the incidence of inefficiency within an industry.
Volume (Year): 224 (2013)
Issue (Month): 2 ()
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- Nahra, Tammie A. & Mendez, David & Alexander, Jeffrey A., 2009. "Employing super-efficiency analysis as an alternative to DEA: An application in outpatient substance abuse treatment," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1097-1106, August.
- Jürgen Antony, 2010. "A class of changing elasticity of substitution production functions," Journal of Economics, Springer, vol. 100(2), pages 165-183, June.
- Tsionas, Efthymios G. & Papadakis, Emmanuel N., 2010. "A Bayesian approach to statistical inference in stochastic DEA," Omega, Elsevier, vol. 38(5), pages 309-314, October.
- Subhash C. Ray, 1991. "Resource-Use Efficiency in Public Schools: A Study of Connecticut Data," Management Science, INFORMS, vol. 37(12), pages 1620-1628, December.
- Sahoo, Biresh K. & Acharya, Debashis, 2010. "An alternative approach to monetary aggregation in DEA," European Journal of Operational Research, Elsevier, vol. 204(3), pages 672-682, August.
- Stanton, Kenneth R., 2002. "Trends in relationship lending and factors affecting relationship lending efficiency," Journal of Banking & Finance, Elsevier, vol. 26(1), pages 127-152, January.
- Jose L. Zofio & Angel M. Prieto, 2007. "Measuring Productive Efficiency in Input-Output Models by Means of Data Envelopment Analysis," International Review of Applied Economics, Taylor & Francis Journals, vol. 21(4), pages 519-537.
- Kneip, Alois & Park, Byeong U. & Simar, L opold, 1998. "A Note On The Convergence Of Nonparametric Dea Estimators For Production Efficiency Scores," Econometric Theory, Cambridge University Press, vol. 14(06), pages 783-793, December.
- Chen, Yao & Du, Juan & David Sherman, H. & Zhu, Joe, 2010. "DEA model with shared resources and efficiency decomposition," European Journal of Operational Research, Elsevier, vol. 207(1), pages 339-349, November.
- Robert Rosenman & Daniel Friesner, 2004. "Scope and scale inefficiencies in physician practices," Health Economics, John Wiley & Sons, Ltd., vol. 13(11), pages 1091-1116.
- Jati Sengupta, 1998. "The efficiency distribution in a production cost model," Applied Economics, Taylor & Francis Journals, vol. 30(1), pages 125-132.
- Chilingerian, Jon A., 1995. "Evaluating physician efficiency in hospitals: A multivariate analysis of best practices," European Journal of Operational Research, Elsevier, vol. 80(3), pages 548-574, February.
- Carlos Arnade & Daniel Pick, 2000. "Seasonal oligopoly power: the case of the US fresh fruit market," Applied Economics, Taylor & Francis Journals, vol. 32(8), pages 969-977.
- Thanassoulis, E. & Boussofiane, A. & Dyson, R. G., 1995. "Exploring output quality targets in the provision of perinatal care in England using data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 80(3), pages 588-607, February.
- Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
- Merkert, Rico & Hensher, David A., 2011. "The impact of strategic management and fleet planning on airline efficiency - A random effects Tobit model based on DEA efficiency scores," Transportation Research Part A: Policy and Practice, Elsevier, vol. 45(7), pages 686-695, August.
- Simar, Leopold & Wilson, Paul W., 2007. "Estimation and inference in two-stage, semi-parametric models of production processes," Journal of Econometrics, Elsevier, vol. 136(1), pages 31-64, January.
- Butler, Timothy W. & Li, Ling, 2005. "The utility of returns to scale in DEA programming: An analysis of Michigan rural hospitals," European Journal of Operational Research, Elsevier, vol. 161(2), pages 469-477, March.
- Rajiv D. Banker, 1993. "Maximum Likelihood, Consistency and Data Envelopment Analysis: A Statistical Foundation," Management Science, INFORMS, vol. 39(10), pages 1265-1273, October.
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