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DEA non-parametric ranking test and index measurement: slack-adjusted DEA and an application to Japanese agriculture cooperatives

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  • Sueyoshi, Toshiyuki

Abstract

This article describes a new DEA (data envelopment analysis) ranking approach that combines efficiency analysis (by DEA) with index measurement (by DEA sensitivity analysis). The sensitivity analysis, incorporated into the index measurement, omits an efficient DMU (decision making unit) to obtain the index numbers of all the DMUs. The proposed DEA ranking approach is theoretically linked to a non-parametric rank sum test. Using the rank sum test, this article statistically examines whether two groups of DMUs have different distribution functions of efficiency. As an illustrative case study, this article applies the proposed approach to Japanese Agriculture Cooperatives.

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  • Sueyoshi, Toshiyuki, 1999. "DEA non-parametric ranking test and index measurement: slack-adjusted DEA and an application to Japanese agriculture cooperatives," Omega, Elsevier, vol. 27(3), pages 315-326, June.
    • Handle: RePEc:eee:jomega:v:27:y:1999:i:3:p:315-326
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    2. Adler, Nicole & Friedman, Lea & Sinuany-Stern, Zilla, 2002. "Review of ranking methods in the data envelopment analysis context," European Journal of Operational Research, Elsevier, vol. 140(2), pages 249-265, July.
    3. Kozo Harimaya & Koichi Kagitani, 2022. "Efficiency, and economies of scale and scope in Japanese agricultural cooperatives," Journal of Economic Structures, Springer;Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 11(1), pages 1-19, December.
    4. Cervelló, Roberto & García, Fernando & Guijarro, Francisco, 2010. "Ranking multicriterio de viviendas: una adaptación del modelo de precio único/Housing Multicriteria Ranking: A Single Price Model Adaptation," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 28, pages 693(22á.)-6, Diciembre.
    5. Podinovski, V. V., 2004. "Suitability and redundancy of non-homogeneous weight restrictions for measuring the relative efficiency in DEA," European Journal of Operational Research, Elsevier, vol. 154(2), pages 380-395, April.
    6. Jitsuzumi, Toshiya & Nakamura, Akihiro, 2003. "Measuring DEA efficiency in cable television network facilities: what are appropriate criteria for determining the amounts of governmental subsidies?," Socio-Economic Planning Sciences, Elsevier, vol. 37(1), pages 29-43, March.
    7. Jie Wu & Junfei Chu & Qingyuan Zhu & Pengzhen Yin & Liang Liang, 2016. "DEA cross-efficiency evaluation based on satisfaction degree: an application to technology selection," International Journal of Production Research, Taylor & Francis Journals, vol. 54(20), pages 5990-6007, October.
    8. Kang, Hee Jay & Kim, Changhee & Choi, Kanghwa, 2024. "Combining bootstrap data envelopment analysis with social networks for rank discrimination and suitable potential benchmarks," European Journal of Operational Research, Elsevier, vol. 312(1), pages 283-297.
    9. Roberto Cervelló Royo & Fernando García García & Francisco Guijarro-Martínez & Ismael Moya-Clemente, 2011. "Housing Ranking: a model of equilibrium between buyers and sellers expectations," ERSA conference papers ersa11p314, European Regional Science Association.
    10. Volkan Soner Özsoy & Mediha Örkcü & H. Hasan Örkcü, 2021. "A minimax approach for selecting the overall and stage-level most efficient unit in two stage production processes," Annals of Operations Research, Springer, vol. 300(1), pages 137-169, May.
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    12. Isidoro GUZMÁN & Narciso ARCAS, 2008. "The Usefulness Of Accounting Information In The Measurement Of Technical Efficiency In Agricultural Cooperatives," Annals of Public and Cooperative Economics, Wiley Blackwell, vol. 79(1), pages 107-131, March.
    13. Sharon Hadad & Yossi Hadad & Miki Malul & Mosi Rosenboim, 2012. "The Economic Efficiency of the Tourism Industry: A Global Comparison," Tourism Economics, , vol. 18(5), pages 931-940, October.
    14. Theodoros Skevas & Jasper Grashuis, 2020. "Technical efficiency and spatial spillovers: Evidence from grain marketing cooperatives in the US Midwest," Agribusiness, John Wiley & Sons, Ltd., vol. 36(1), pages 111-126, January.
    15. Constantino J. Garcia Martin & Amparo Medal-Bartual & Marta Peris-Ortiz, 2014. "Analysis of efficiency and profitability of franchise services," The Service Industries Journal, Taylor & Francis Journals, vol. 34(9-10), pages 796-810, July.
    16. V V Podinovski, 2005. "The explicit role of weight bounds in models of data envelopment analysis," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(12), pages 1408-1418, December.
    17. Mehdi Soltanifar & Hamid Sharafi, 2022. "A modified DEA cross efficiency method with negative data and its application in supplier selection," Journal of Combinatorial Optimization, Springer, vol. 43(1), pages 265-296, January.
    18. Guan Jiancheng & Wang Junxia, 2004. "Evaluation and interpretation of knowledge production efficiency," Scientometrics, Springer;Akadémiai Kiadó, vol. 59(1), pages 131-155, January.
    19. Sueyoshi, Toshiyuki & Goto, Mika, 2001. "Slack-adjusted DEA for time series analysis: Performance measurement of Japanese electric power generation industry in 1984-1993," European Journal of Operational Research, Elsevier, vol. 133(2), pages 232-259, January.
    20. Khodadadipour, M. & Hadi-Vencheh, A. & Behzadi, M.H. & Rostamy-malkhalifeh, M., 2021. "Undesirable factors in stochastic DEA cross-efficiency evaluation: An application to thermal power plant energy efficiency," Economic Analysis and Policy, Elsevier, vol. 69(C), pages 613-628.
    21. Soltanifar, Mehdi & Shahghobadi, Saeid, 2013. "Selecting a benevolent secondary goal model in data envelopment analysis cross-efficiency evaluation by a voting model," Socio-Economic Planning Sciences, Elsevier, vol. 47(1), pages 65-74.
    22. Mohammad Jamshidi & Masoud Sanei & Ali Mahmoodirad & Farhad Hoseinzadeh Lotfi & Ghasem Tohidi, 2021. "Uncertain SBM data envelopment analysis model: A case study in Iranian banks," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 26(2), pages 2674-2689, April.
    23. Juan Martín & Concepción Román, 2006. "A Benchmarking Analysis of Spanish Commercial Airports. A Comparison Between SMOP and DEA Ranking Methods," Networks and Spatial Economics, Springer, vol. 6(2), pages 111-134, June.

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