Evaluating the adequacy of parametric functional forms in estimating monotone and concave production functions

Journal of Productivity Analysis

Volumn 17, Issue 1-2, 2002, Pages 111-132

  Banker, Rajiv D ^a   Janakiraman, Surya ^a   Natarajan, Ram ^a  

^a UNIVERSITY OF TEXAS AT DALLAS   (United States)

Author keywords

Data envelopment analysis; Evaluating parametric functional forms; Production function estimation; Texas school districts

Indexed keywords

EID: 0036108358     PISSN: 0895562X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1013540521576     Document Type: Article

References (30)

1. Ahn, T., A. Charnes and W. W. Cooper. (1988). "Some Statistical and DEA Evaluations of Relative Efficiencies of Public and Private Institutions of Higher Learning." Socio-Economic Planning Science, 259-269.
2. Aigner, D., C. A. K. Lovell and P. Schmidt. (1977). "Formulation and Estimation of Stochastic Frontier Production Function Models." Journal of Econometrics 6, 211-237.
3. Banker, R. D. (1993). "Maximum Likelihood, Consistency and Data Envelopment Analysis." Management Science 39, 1265-1273.
4. Banker, R. D. (1996). "Hypothesis Tests Using Data Envelopment Analysis." Journal of Productivity Analysis 7, 139-159.
5. Banker, R. D., A. Charnes and W. W. Cooper. (1984). Models for the Estimation of Technical and Scale Efficiencies in Data Envelopment Analysis." Management Science 30, 1078-1092.
6. Banker, R. D. and A. Maindiratta. (1992). "Maximum Likelihood Estimation of Monotone and Concave Production Frontiers." Journal of Productivity Analysis 3, 401-415.
7. Banker, R. D. and R. Natarajan. (2000). "Evaluating Contextual Variables Affecting Productivity using Data Envelopment Analysis." Working paper, The University of Texas at Dallas.
8. Bessent, A., W. Bessent, J. Kennington and B. Reagan. (1982). "An Application of Mathematical Programming to Assets Productivity in the Houston Independent School District." Management Science 28, 1255-1367.
9. Butler, R. and D. Monk. (1985). "The Cost of Public Schooling in New York State: The Role of Scale and Efficiency in 1978-79." Journal of Human Resources 20, 361-381.
10. Callan, S. and R. Santerre. (1990). "The Production Characteristics of Local Public Education: A Multiple Product and Input Analysis." Southern Economic Journal 57(2), 68-480.
11. Chizmar, J. F. and T. A. Zak. (1983). "Modeling Multiple Outputs in Educational Production Functions." American Economic Review 73, 18-28.
12. Cooper, W. W., R. G. Thompson and R. M. Thrall. (1996). "Introduction: Extensions and New Developments in DEA." Annals of Operations Research 66, 3-45.
13. Davidson, R. and J. G. MacKinnon. (1981). "Several Model Specification Tests in the Presence of Alternative Hypotheses." Econometrica 49, 781-793.
14. Farrell, M. J. (1957). "The Measurement of Production Efficiency." Journal of the Royal Statistical Society Series A 120, 254-290.
15. Greene, W. H. (1980). "Maximum Likelihood Estimation of Econometric Frontier Production Functions." Journal of Econometrics 13, 27-56.
16. Grosskopf, S., K. Hayes, L. Taylor and W. Weber. (1999). "On the Determinants of School District Efficiency: Competition and Monitoring." Working paper, Oregon State University.
17. Gstach, D. (1998). "Another Approach to Data Envelopment Analysis in Noisy Environments: DEA+." Journal of Productivity Analysis 9, 161-176.
18. Gyimah-Brempong, K. and A. Gyapong. (1992). "Elasticities of Factor Substitution in the Production of Education." Economics of Education Review, 205-217.
19. Iman, R. L. and W. J. Conover. (1979). "The Use of Rank Transform in Regression." Technometrics 499-509.
20. Jimenez, E. (1986). "The Structure of Education Costs: Multiple Cost Functions for Primary and Secondary Schools in Latin America." Economics of Education Review 15, 25-39.
21. Meeusen, W. and J. van den Broeck. (1977). "Efficiency Estimation for Cobb-Douglas Production Function with Composed Error." International Economic Review 18, 435-455.
22. Ohlson, J. A., P. Schmidt and D. A. Waldman. (1980). "A Monte Carlo Study of Estimators of Stochastic Frontier Production Functions." Journal of Econometrics 13, 67-82.
23. Ray, S. (1991). "Resource-use Efficiency in Public Schools: A study of Connecticut Data." Management Science 37, 1620-1628.
24. Richmond, J. (1974). "Estimating the Efficiency of Production. " International Economic Review 15, 515-521.
25. Sarath, B. and A. Maindiratta. (1997). "On the Consistency of Maximum Likelihood Estimation of Monotone and Concave Production Frontiers." Journal of Productivity Analysis 8, 239-246.
26. Schmidt, P. (1976). "On the Statistical Estimation of Parametric Frontier Production Functions." Review of Economics and Statistics 58(1), 238-239.
27. Sengupa, J. and R. Sfeir. (1986). "Production Frontier Estimates of Scale in Public Schools in California." Economics of Education Review, 297-307.
28. Smet, M. and W. Nonneman. (1988). "Economies of Scale and Scope in Flemish Secondary Schools." Applied Economics 30, 1251-1258.
29. Theil, H. (1950). "A Rank-invariant Method of Linear and Polynomial Regression Analysis." I. Proc. Kon. Ned. Akad. V. Wetensch. A 53, 386-392.
30. Wooldridge, J. M. (1992). "A Test for Functional Form Against Nonparametric Alternatives." Econometric Theory 8, 452-475.