Essid, Hédi and Ouellette, Pierre and Vigeant, Stéphane (2007): Measuring efficiency of Tunisian schools in the presence of quasi-fixed inputs: A bootstrap data envelopment analysis approach.
Preview |
PDF
MPRA_paper_14415.pdf Download (151kB) | Preview |
Abstract
The objective of this paper is to measure the efficiency of high schools in Tunisia. We use a statistical Data Envelopment Analysis (DEA)-bootstrap approach with quasi-fixed inputs to estimate the precision of our measure. To do so, we developed a statistical model serving as the foundation of the Data Generation Process (DGP). The DGP is constructed such that we can implement both smooth homogeneous and heterogeneous bootstrap methods. Bootstrap simulations were used to estimate and correct the bias, and to construct confidence intervals for the efficiency measures. The simulation results show that the efficiency measures are subject to sampling variations. The adjusted measure reveals that high schools with residence services would have to give up less than 12.1 percent of their resources on average to be efficient.
Item Type: | MPRA Paper |
---|---|
Commentary on: | Essid, Hédi and Ouellette, Pierre and Vigeant, Stéphane (2007): Measuring efficiency of Tunisian schools in the presence of quasi-fixed inputs: A bootstrap data envelopment analysis approach. |
Original Title: | Measuring efficiency of Tunisian schools in the presence of quasi-fixed inputs: A bootstrap data envelopment analysis approach |
Language: | English |
Keywords: | Educational economics; Efficiency; Productivity; Data Envelopment Analysis; Bootstrap; Quasi-fixed inputs |
Subjects: | D - Microeconomics > D2 - Production and Organizations I - Health, Education, and Welfare > I2 - Education and Research Institutions |
Item ID: | 14415 |
Depositing User: | Stéphane Vigeant |
Date Deposited: | 04 Apr 2009 16:03 |
Last Modified: | 29 Sep 2019 04:23 |
References: | Banker, R.D. (1993). Maximum Likelihood, Consistency and Data Envelopment Analysis: A Statistical Foundation. Management Science, 39, 1265-1273. Banker, R.D. and Morey, R.C. (1986). Efficiency Analysis for Exogenously Fixed Inputs and Outputs. Operations Research, 34, 513-521. Campbell N.A. (1980). Robust Procedures in Multivariate Analysis I: Robust Covariance. Applied Statistics, 29, 231-237. Cohn, E. Millman, S.D. and Chew, I.K. (1975). Input-Output Analysis in Public Education. Ballinger, Cambridge, MA. Efron, B. and Tibshirani, R.J. (1993). An Introduction to the Bootstrap. London: Chapman and Hall. Essid, H., Ouellette, P. and Vigeant, S. (2007). A Note on the Convergence of Nonparametric DEA Estimators for Production Efficiency Scores with Quasi-Fixed Inputs. mimeo, Institut des HEC de Carthage. Farrell, M.J. (1957). The Measurement of Productive Efficiency. Journal of the Royal Statistical Society A 120, 253-290. Fried, H.O. and Lovell, C.A.K. (1996). Searching the Zeds, Working Paper presented at II Georgia Productivity Workshop. Hanushek, E.A. (1986). The Economics of Schooling: Production and Efficiency in Public Schools. Journal of Economic Literature, 24, 1141-1176. Johnes, J., (2006). Data Envelopment Analysis and its Application to the Measurement of Efficiency in Higher Education. Economics of Education Review, 25, 273–288. Kneip, A., Park, B.U. and Simar, L. (1998). A Note on the Convergence of Nonparametric DEA Estimators for Production Efficiency Scores. Econometric Theory, 14, 783-793. Muñiz, M.A. (2002). Separating Managerial Inefficiency and External Conditions in Data Envelopment Analysis. European Journal of Operational Research, 143, 625-643. Ouellette, P. and Vierstraete, V. (2005). Technological Change and Efficiency in the Presence of Quasi-Fixed Inputs: A DEA Application to the Hospital Sector. European Journal of Operational Research, 154 (3), 755-763. Schuster, E.F., (1985). Incorporating Support Constraints into Nonparametric Estimators of Densities. Communications in Statistics-Theory and Method, 14, 1123-1136. Silva Portela and Thanassoulis E. (2001). Decomposing School and School-type Efficiency. European Journal of Operational Research, 132, 357-373. Silverman, B.W. (1986). Density Estimation for Statistics and Data Analysis. Chapman and Hall. Simar, L. and Wilson, P.W. (2007). Estimation and Inference in Two-Stage, Semi-Parametric Models of Production Processes. Journal of Econometrics, 136, 31-64. Simar, L. and Wilson, P.W. (2000a). A General Methodology for Bootstrapping in Non-Parametric Frontier Models. Journal of Applied Statistics, 27, 779-802. Simar, L. and Wilson, P.W. (2000b). Statistical Inference in Nonparametric Frontier Models: The State of the Art. Journal of Productivity Analysis, 13, 49-78. Simar, L. and Wilson, P.W. (1998). Sensitivity Analysis of Efficiency Scores: How to Bootstrap in Nonparametric Frontier Models. Management Science, 44, 49-61. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/14415 |
Commentary/Response Threads
-
Essid, Hédi and Ouellette, Pierre and Vigeant, Stéphane
Measuring efficiency of Tunisian schools in the presence of quasi-fixed inputs: A bootstrap data envelopment analysis approach. (deposited 01 Apr 2009 04:34)
- Essid, Hédi and Ouellette, Pierre and Vigeant, Stéphane Measuring efficiency of Tunisian schools in the presence of quasi-fixed inputs: A bootstrap data envelopment analysis approach. (deposited 04 Apr 2009 16:03) [Currently Displayed]