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Dealing with the Endogeneity Problem in Data Envelopment Analysis

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  • Cordero, José Manuel
  • Santín, Daniel
  • Sicilia, Gabriela

Abstract

Endogeneity, and the distortions on the estimation of economic models that it causes, is a familiar problem in the econometrics literature. Although non-parametric methods like data envelopment analysis (DEA) are among the most used techniques for measuring technical efficiency, the effects of endogeneity on such efficiency estimates have received little attention. The aim of this paper is twofold. First, we further illustrate the endogeneity problem and its causes in production processes like the correlation between one input and the efficiency level. Second, we use synthetic data generated in a Monte Carlo experiment to analyze how different levels of positive and negative endogeneity can impair DEA estimations. We conclude that although DEA is robust to negative endogeneity, a high positive endogeneity level, i.e., a high positive correlation between one input and the true efficiency level, significantly and severely biases DEA performance.

Suggested Citation

  • Cordero, José Manuel & Santín, Daniel & Sicilia, Gabriela, 2013. "Dealing with the Endogeneity Problem in Data Envelopment Analysis," MPRA Paper 47475, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:47475
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    References listed on IDEAS

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    1. H餩 Essid & Pierre Ouellette & St鰨ane Vigeant, 2013. "Small is not that beautiful after all: measuring the scale efficiency of Tunisian high schools using a DEA-bootstrap method," Applied Economics, Taylor & Francis Journals, vol. 45(9), pages 1109-1120, March.
    2. 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.
    3. Martin Schlotter & Guido Schwerdt & Ludger Woessmann, 2011. "Econometric methods for causal evaluation of education policies and practices: a non-technical guide," Education Economics, Taylor & Francis Journals, vol. 19(2), pages 109-137.
    4. Ruggiero, John, 2003. "Comment on estimating school efficiency," Economics of Education Review, Elsevier, vol. 22(6), pages 631-634, December.
    5. Rosalind Levacic & Anna Vignoles, 2002. "Researching the Links between School Resources and Student Outcomes in the UK: A Review of Issues and Evidence," Education Economics, Taylor & Francis Journals, vol. 10(3), pages 313-331.
    6. Nataraja, Niranjan R. & Johnson, Andrew L., 2011. "Guidelines for using variable selection techniques in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 215(3), pages 662-669, December.
    7. Boris Bravo-Ureta & William Greene & Daniel Solís, 2012. "Technical efficiency analysis correcting for biases from observed and unobserved variables: an application to a natural resource management project," Empirical Economics, Springer, vol. 43(1), pages 55-72, August.
    8. Solis, Daniel & Bravo-Ureta, Boris E. & Quiroga, Ricardo E., 2007. "Soil conservation and technical efficiency among hillside farmers in Central America: a switching regression model," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 51(4), pages 1-20.
    9. Carlos D. Mayen & Joseph V. Balagtas & Corinne E. Alexander, 2010. "Technology Adoption and Technical Efficiency: Organic and Conventional Dairy Farms in the United States," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 92(1), pages 181-195.
    10. Sergio Perelman & Daniel Santin, 2011. "Measuring educational efficiency at student level with parametric stochastic distance functions: an application to Spanish PISA results," Education Economics, Taylor & Francis Journals, vol. 19(1), pages 29-49.
    11. William Greene, 2010. "A stochastic frontier model with correction for sample selection," Journal of Productivity Analysis, Springer, vol. 34(1), pages 15-24, August.
    12. D U A Galagedera & P Silvapulle, 2003. "Experimental evidence on robustness of data envelopment analysis," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(6), pages 654-660, June.
    13. Bifulco, Robert & Bretschneider, Stuart, 2001. "Estimating school efficiency: A comparison of methods using simulated data," Economics of Education Review, Elsevier, vol. 20(5), pages 417-429, October.
    14. Bifulco, Robert & Bretschneider, Stuart, 2003. "Response to comment on estimating school efficiency," Economics of Education Review, Elsevier, vol. 22(6), pages 635-638, December.
    15. R. D. Banker & A. Charnes & W. W. Cooper, 1984. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, INFORMS, vol. 30(9), pages 1078-1092, September.
    16. D J Mayston, 2003. "Measuring and managing educational performance," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(7), pages 679-691, July.
    17. Ruggiero, John, 2004. "Performance evaluation when non-discretionary factors correlate with technical efficiency," European Journal of Operational Research, Elsevier, vol. 159(1), pages 250-257, November.
    18. repec:zwi:journl:v:43:y:2012:i:1:p:55-72 is not listed on IDEAS
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    Cited by:

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    2. David J. Mayston, 2017. "Data envelopment analysis, endogeneity and the quality frontier for public services," Annals of Operations Research, Springer, vol. 250(1), pages 185-203, March.
    3. Kristof De Witte & Laura López-Torres, 2017. "Efficiency in education: a review of literature and a way forward," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(4), pages 339-363, April.
    4. Cordero, Jose M. & Polo, Cristina & Santín, Daniel & Simancas, Rosa, 2018. "Efficiency measurement and cross-country differences among schools: A robust conditional nonparametric analysis," Economic Modelling, Elsevier, vol. 74(C), pages 45-60.
    5. Ioanna G. Gkiza & Stefanos A. Nastis, 2017. "Health and Women’s Role in Agricultural Production Efficiency," Applied Economic Perspectives and Policy, Agricultural and Applied Economics Association, vol. 39(3), pages 428-440.
    6. Juan Aparicio & Jose Manuel Cordero & Carlos Díaz-Caro, 2020. "Efficiency and productivity change of regional tax offices in Spain: an empirical study using Malmquist–Luenberger and Luenberger indices," Empirical Economics, Springer, vol. 59(3), pages 1403-1434, September.
    7. Khoshnevis, Pegah & Teirlinck, Peter, 2018. "Performance evaluation of R&D active firms," Socio-Economic Planning Sciences, Elsevier, vol. 61(C), pages 16-28.
    8. Daniel Santín & Gabriela Sicilia, 2018. "Using DEA for measuring teachers’ performance and the impact on students’ outcomes: evidence for Spain," Journal of Productivity Analysis, Springer, vol. 49(1), pages 1-15, February.
    9. David J. Mayston, 2015. "Data envelopment analysis, endogeneity and the quality frontier for public services," Discussion Papers 15/05, Department of Economics, University of York.
    10. Chancellor, Will & Hughes, Neal & Zhao, Shiji & Soh, Wei Ying & Valle, Haydn & Boult, Christopher, 2021. "Controlling for the effects of climate on total factor productivity: A case study of Australian farms," Food Policy, Elsevier, vol. 102(C).
    11. Iyad Dhaoui, 2019. "Healthcare system efficiency and its determinants: A two-stage Data Envelopment Analysis (DEA) from MENA countries," Working Papers 1320, Economic Research Forum, revised 21 Aug 2019.
    12. Nirmalkumar Singh Moirangthem & Barnali Nag, 2020. "Developing a Framework of Regional Competitiveness Using Macro and Microeconomic Factors and Evaluating Sources of Change in Regional Competitiveness in India Using Malmquist Productivity Index," International Journal of Global Business and Competitiveness, Springer, vol. 15(2), pages 61-79, December.

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    More about this item

    Keywords

    Technical efficiency; DEA; Endogeneity; Monte Carlo.;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C9 - Mathematical and Quantitative Methods - - Design of Experiments

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