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Estimating school efficiency: A comparison of methods using simulated data
ARTICLE

## Robert Bifulco, Stuart Bretschneider

Economics of Education Review Volume 20, Number 5 ISSN 0272-7757 Publisher: Elsevier Ltd

## Abstract

Developing measures of school performance is crucial for performance-based school reform efforts. One approach to developing such measures is to apply econometric and linear programming techniques that have been developed to measure productive efficiency. This study uses simulated data to assess the adequacy of two such methods, Data Envelopment Analysis (DEA) and Corrected Ordinary Least Squares (COLS), for the purposes of performance-based school reform. Our results suggest that in complex data sets typical of education contexts simple versions of DEA and COLS do not provide adequate measures of efficiency. In data sets simulated to contain both measurement error and endogeneity, rank correlations between efficiency estimates and true efficiency values range from 0.104 to 0.240. In none of these data sets were either DEA and COLS able to place more than 31% of schools in their true performance quintile.

## Citation

Bifulco, R. & Bretschneider, S. Estimating school efficiency: A comparison of methods using simulated data. Economics of Education Review, 20(5), 417-429. Elsevier Ltd. Retrieved December 5, 2020 from https://www.learntechlib.org/p/206867/.

This record was imported from Economics of Education Review on March 1, 2019. Economics of Education Review is a publication of Elsevier.

Full text is availabe on Science Direct: http://dx.doi.org/10.1016/S0272-7757(00)00025-X### Keywords

## References

View References & Citations Map- Aigner, D., Lovell, C.A.K., & Schmidt, P. (1977). Formulation and estimation of stochastic frontier production function models . Journal of Econometrics, 6, pp. 21-37.
- Banker, R.D., Charnes, A., & Cooper, W.W. (1984). Some models for estimating technical and scale inefficiencies in data envelopment analysis . Management Science, 30, pp. 1078-1092.
- Banker, R.D., Conrad, R.F., & Strauss, R.P. (1985). A comparative application of DEA and translog methods: An illustrative study of hospital production . Management Science, 32, pp. 30-44.
- Banker, R.D., Gadh, V.M., & Gorr, W.L. (1993). A monte-carlo comparison of two production frontier estimation methods: corrected ordinary least squares and data envelopment analysis . European Journal of Operational Research, 67, pp. 332-343.
- Barrow, M.M. (1991). Measuring local education authority performance: a frontier approach . Economics of Education Review, 10, pp. 19-27.
- Bessent, A., & Bessent, E. (1980). Determining the comparative efficiency of schools through data envelopment analysis . Educational Administration Quarterly, 16, pp. 57-75.
- Bessent, A., Bessent, E., Charnes, A., Cooper, W., & Thorogood, N.C. (1983). Evaluation of educational program proposals by means of DEA . Education Administration Quarterly, 19, pp. 82-107.
- Bessent, A., Bessent, W., Kennington, J., & Reagan, B. (1982). An application of mathematical programming to assess productivity in the Houston Independent School District . Management Science, 28, pp. 1335-1366.
- Bifulco, R., & Duncombe, W. (1998). The identification and evaluation of low-performance schools: the case of New York City. Presented at the 1998 American Education Finance Association Annual Conference, Mobile, Alabama.
- Bridge, G., Judd, C., & Moock, P. (1979). The determinants of educational outcomes: the impact of families, peers, teachers and schools. Cambridge, MA: Ballinger Publishing Company.
- Charnes, A., Cooper, W.W., & Rhodes, E. (1978). Measuring the efficiency of decision making units . European Journal of Operational Research, 2, pp. 429-444.
- Cooper, S.T., & Cohn, E. (1997). Estimation of a frontier production function for the South Carolina educational process . Economics of Education Review, 16, pp. 313-327.
- Darling-Hammond, L. (1991). Accountability mechanisms in big city school systems. ERIC/CUE Digest, 17.
- Deller, S., & Rudnicki, E. (1993). Production efficiency in elementary education: the case of Maine public schools . Economics of Education Review, 12, pp. 45-57.
- Elmore, R., Abelmann, C., & Fuhrman, S. (1996). The new accountability in state education reform: from process to performance . Holding schools accountable: performance-based reform in education, pp. 65-98. Washington, DC: The Brookings Institution.
- Färe, R., Grosskopf, S., & Weber, W. (1989). Measuring school district performance . Public Finance Quarterly, 17, pp. 409-428.
- Farell, M.J. (1957). The measurement of productive efficiency . Journal of the Royal Statistical Society Series A, 120, pp. 253-281.
- Goldstein, H. (1997). Value added tables: the less-than-Holy Grail . Managing Schools Today, 6, pp. 18-19.
- Goldstein, H., & Thomas, S. (1996). Using examination results as indicators of school and college performance . Journal of the Royal Statistical Society A, 159, pp. 149-163.
- Gong, B., & Sickles, R.C. (1992). Finite sample evidence on the performance of stochastic frontiers and data envelopment analysis using panel data . Journal of Econometrics, 51, pp. 259-284.
- Hanushek, E. (1994). Making schools work: improving performance and controlling costs. Washington, DC: The Brookings Institution.
- Johnes, J., & Johnes, G. (1995). Research funding and performance in U.K. university departments of economics: a frontier analysis . Economics of Education Review, 14, pp. 301-314.
- Jondrow, J., Lovell, C.A.K., Materov, I.S., & Schmidt, P. (1982). On the estimation of technical inefficiency in the stochastic frontier production function model . Journal of Econometrics, 19, pp. 233-238.
- King, R., & Mathers, J. (1997). Improving schools through performance-based accountability and financial rewards . Journal of Education Finance, 23, pp. 147-176.
- Kirjavainen, T., & Loikkanen, H.A. (1998). Efficiency differences of finnish senior secondary schools: an application of DEA and Tobit analysis . Economics of Education Review, 17, pp. 377-394.
- Levin, H.M. (1997). Raising school productivity: an x-efficiency approach . Economics of Education Review, 16, pp. 303-311.
- Lovell, C.A., & Schmidt, P. (1988). A comparison of alternative approaches to the measurement of productive efficiency . Applications of modern production theory: efficiency and productivity, pp. 3-31. Boston: Kluwer.
- McCarty, T., & Yaisawarng, S. (1993). Technical efficiency in New Jersey school districts . The measurement of productive efficiency, pp. 271-287. Oxford: Oxford University Press.
- Monk, D. (1990). Educational finance: an economic approach. New York: McGraw-Hill Publishing Company.
- Nelson, R.A., & Waldman, D.M. (1986). Measuring technical efficiency: index numbers vs. parametric production frontiers. Unpublished Manuscript.
- Olsen, J.A., Schmidt, P., & Waldman, D.A. (1980). A monte-carlo study of estimators of stochastic frontier production functions . Journal of Econometrics, 13, pp. 67-82.
- Ondrich, J., & Ruggiero, J. (1997). Efficiency measurement in the stochastic frontier model. Mimeo, Syracuse University.
- Orme, C., & Smith, P. (1996). The potential for endogeneity bias in data envelopment analysis . Journal of the Operational Research Society, 47, pp. 73-83.
- Ray, S.C. (1991). Resource use in public schools: a study of Connecticut . Management Science, 37, pp. 1520-1628.
- Richards, C., & Sheu, T. (1992). The South Carolina School Incentive Reward Program: a policy analysis . Economics of Education Review, 11, pp. 71-86.
- Ruggiero, J. (1996a). Efficiency estimation and error decomposition in the stochastic frontier model: a monte-carlo analysis. Working paper, Center for Economics and Business Research.
- Ruggiero, J. (1996). On the measurement of technical efficiency in the public sector . European Journal of Operational Research, 90, pp. 553-565.
- Ruggiero, J., & Bretschneider, S. (1998). The weighted Russell measure of technical efficiency . European Journal of Operations Research, 108, pp. 438-451.
- Ruggiero, J., Duncombe, W., & Miner, J. (1995). On the measurement and causes of technical inefficiency in local public services: with an application to public education . Journal of Public Administration Research and Theory, 5, pp. 403-428.
- Stiefel, L., Schwartz, A., & Rubenstein, R. (1999). Measuring school-level efficiency . School-based financing Thousand Oaks, CA: Corwin Press.

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