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A Monte Carlo Simulation comparing DEA, SFA and two simple approaches to combine efficiency estimates

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  • Mark Andor
  • Frederik Hesse

Abstract

In certain circumstances, both researchers and policy makers are faced with the challenge of determining individual eciency scores for each decision making unit (DMU) under consideration. In this study, we use a Monte Carlo experimentation to analyze the optimal approach to determining individual eciency scores. Our rst research objective is a systematic comparison of the two most popular estimation methods, data envelopment (DEA) and stochastic frontier analysis (SFA). Accordingly we extend the existing comparisons in several ways. We are thus able to identify the factors which in uence the performance of the methods and give additional information about the reasons for performance variation. Furthermore, we indicate speci c situations in which an estimation technique proves superior. As none of the methods is in all respects superior, in real word applications, such as energy incentive regulation systems, it is regarded as \best-practice" to combine the estimates obtained from DEA and SFA. Hence in a second step, we compare the approaches to transforming the estimates into eciency scores, with the elementary estimates of the two methods. Our results demonstrate that combination approaches can actually constitute \best-practice" for estimating precise e- ciency scores.

Suggested Citation

  • Mark Andor & Frederik Hesse, "undated". "A Monte Carlo Simulation comparing DEA, SFA and two simple approaches to combine efficiency estimates," Working Papers 201177, Institute of Spatial and Housing Economics, Munster Universitary.
  • Handle: RePEc:muc:wpaper:201177
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    Cited by:

    1. Pavala Malar Kannan & Govindan Marthandan & Rathimala Kannan, 2021. "Modelling Efficiency of Electric Utilities Using Three Stage Virtual Frontier Data Envelopment Analysis with Variable Selection by Loads Method," Energies, MDPI, vol. 14(12), pages 1-21, June.
    2. Mark Andor & Frederik Hesse, 2014. "The StoNED age: the departure into a new era of efficiency analysis? A monte carlo comparison of StoNED and the “oldies” (SFA and DEA)," Journal of Productivity Analysis, Springer, vol. 41(1), pages 85-109, February.
    3. Mark Andor & Frederik Hesse, "undated". "The StoNED age: The Departure Into a New Era of Efficiency Analysis? An MC study Comparing StoNED and the "Oldies" (SFA and DEA)," Working Papers 201285, Institute of Spatial and Housing Economics, Munster Universitary.
    4. Andor, Mark A. & Parmeter, Christopher & Sommer, Stephan, 2019. "Combining uncertainty with uncertainty to get certainty? Efficiency analysis for regulation purposes," European Journal of Operational Research, Elsevier, vol. 274(1), pages 240-252.
    5. Madau, Fabio A., 2015. "Technical and Scale Efficiency in the Italian Citrus Farming: Comparison between SFA and DEA Approaches," Agricultural Economics Review, Greek Association of Agricultural Economists, vol. 16(2), pages 1-13.
    6. Ahn, Heinz & Clermont, Marcel & Langner, Julia, 2023. "Comparative performance analysis of frontier-based efficiency measurement methods – A Monte Carlo simulation," European Journal of Operational Research, Elsevier, vol. 307(1), pages 294-312.
    7. Laura Di Giorgio & Abraham D Flaxman & Mark W Moses & Nancy Fullman & Michael Hanlon & Ruben O Conner & Alexandra Wollum & Christopher J L Murray, 2016. "Efficiency of Health Care Production in Low-Resource Settings: A Monte-Carlo Simulation to Compare the Performance of Data Envelopment Analysis, Stochastic Distance Functions, and an Ensemble Model," PLOS ONE, Public Library of Science, vol. 11(1), pages 1-20, January.
    8. Thembi Xaba & Nyankomo Marwa & Babita Mathur-Helm, 2018. "Efficiency and Profitability Analysis of Agricultural Cooperatives in Mpumalanga, South Africa," Journal of Economics and Behavioral Studies, AMH International, vol. 10(6), pages 1-10.
    9. Adeleye, Oluwakemi Rachael & Kovács, Krisztián, 2022. "Technical Efficiency Of Dairy Farms In Rural Nigeria," APSTRACT: Applied Studies in Agribusiness and Commerce, AGRIMBA, vol. 16(2), December.
    10. Janda, Karel & Krska, Stepan, 2014. "Benchmarking Methods in the Regulation of Electricity Distribution System Operators," MPRA Paper 59442, University Library of Munich, Germany.
    11. Sakouvogui Kekoura & Shaik Saleem & Doetkott Curt & Magel Rhonda, 2021. "Sensitivity analysis of stochastic frontier analysis models," Monte Carlo Methods and Applications, De Gruyter, vol. 27(1), pages 71-90, March.
    12. Dupeux, Bérénice & Buysse, Jeroen, 2014. "Parametric versus non-parametric simulation," 2014 International Congress, August 26-29, 2014, Ljubljana, Slovenia 182768, European Association of Agricultural Economists.
    13. De la Cruz, Marco & Mergoni, Anna, 2024. "Assessing the performance of Peruvian education system from a governance perspective," Socio-Economic Planning Sciences, Elsevier, vol. 93(C).
    14. Paltasingh, Kirtti Ranjan & Basantaray, Amit Kumar & Jena, Pabitra Kumar, 2022. "Land tenure security and farm efficiency in Indian agriculture: Revisiting an old debate," Land Use Policy, Elsevier, vol. 114(C).

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    More about this item

    Keywords

    eciency; data envelopment analysis; stochastic frontier analysis; simulation; regulation;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling
    • D2 - Microeconomics - - Production and Organizations
    • L5 - Industrial Organization - - Regulation and Industrial Policy
    • Q4 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy

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