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A cost Malmquist productivity index capturing group performance

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  • Thanassoulis, Emmanuel
  • Shiraz, Rashed Khanjani
  • Maniadakis, Nikolaos

Abstract

This paper develops an index for comparing the productivity of groups of operating units in cost terms when input prices are available. In that sense it represents an extension of a similar index available in the literature for comparing groups of units in terms of technical productivity in the absence of input prices. The index is decomposed to reveal the origins of differences in performance of the groups of units both in terms of technical and cost productivity. The index and its decomposition are of value in contexts where the need arises to compare units which perform the same function but they can be grouped by virtue of the fact that they operate in different contexts as might for example arise in comparisons of water or gas transmission companies operating in different countries.

Suggested Citation

  • Thanassoulis, Emmanuel & Shiraz, Rashed Khanjani & Maniadakis, Nikolaos, 2015. "A cost Malmquist productivity index capturing group performance," European Journal of Operational Research, Elsevier, vol. 241(3), pages 796-805.
    • Handle: RePEc:eee:ejores:v:241:y:2015:i:3:p:796-805
    DOI: 10.1016/j.ejor.2014.09.002
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    1. Rolf Färe & Emili Grifell‐Tatjé & Shawna Grosskopf & C. A. Knox Lovell, 1997. "Biased Technical Change and the Malmquist Productivity Index," Scandinavian Journal of Economics, Wiley Blackwell, vol. 99(1), pages 119-127, March.
    2. Ray, Subhash C & Desli, Evangelia, 1997. "Productivity Growth, Technical Progress, and Efficiency Change in Industrialized Countries: Comment," American Economic Review, American Economic Association, vol. 87(5), pages 1033-1039, December.
    3. Emmanuel Thanassoulis & Maria Da Conceicao & A. Silva Portela, 2002. "School Outcomes: Sharing the Responsibility Between Pupil and School1," Education Economics, Taylor & Francis Journals, vol. 10(2), pages 183-207.
    4. Maniadakis, Nikolaos & Thanassoulis, Emmanuel, 2004. "A cost Malmquist productivity index," European Journal of Operational Research, Elsevier, vol. 154(2), pages 396-409, April.
    5. Nikolaos Maniadakis & Emmanuel Thanassoulis, 2000. "Assessing productivity changes in UK hospitals reflecting technology and input prices," Applied Economics, Taylor & Francis Journals, vol. 32(12), pages 1575-1589.
    6. Fried, Harold O. & Lovell, C. A. Knox & Schmidt, Shelton S. (ed.), 1993. "The Measurement of Productive Efficiency: Techniques and Applications," OUP Catalogue, Oxford University Press, number 9780195072181, Decembrie.
    7. K Tone, 2002. "A strange case of the cost and allocative efficiencies in DEA," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(11), pages 1225-1231, November.
    8. A. Camanho & R. Dyson, 2006. "Data envelopment analysis and Malmquist indices for measuring group performance," Journal of Productivity Analysis, Springer, vol. 26(1), pages 35-49, August.
    9. Tone, Kaoru & Tsutsui, Miki, 2007. "Decomposition of cost efficiency and its application to Japanese-US electric utility comparisons," Socio-Economic Planning Sciences, Elsevier, vol. 41(2), pages 91-106, June.
    10. Christopher O’Donnell & D. Rao & George Battese, 2008. "Metafrontier frameworks for the study of firm-level efficiencies and technology ratios," Empirical Economics, Springer, vol. 34(2), pages 231-255, March.
    11. Silva Portela, Maria Conceicao A. & Thanassoulis, Emmanuel, 2001. "Decomposing school and school-type efficiency," European Journal of Operational Research, Elsevier, vol. 132(2), pages 357-373, July.
    12. N/A, 2004. "Index for 2004," European Union Politics, , vol. 5(4), pages 511-512, December.
    13. Maria Portela & Emmanuel Thanassoulis, 2006. "Malmquist Indexes Using a Geometric Distance Function (GDF). Application to a Sample of Portuguese Bank Branches," Journal of Productivity Analysis, Springer, vol. 25(1), pages 25-41, April.
    14. Portela, Maria Conceição A. Silva & Thanassoulis, Emmanuel, 2014. "Economic efficiency when prices are not fixed: disentangling quantity and price efficiency," Omega, Elsevier, vol. 47(C), pages 36-44.
    15. George Battese & D. Rao & Christopher O'Donnell, 2004. "A Metafrontier Production Function for Estimation of Technical Efficiencies and Technology Gaps for Firms Operating Under Different Technologies," Journal of Productivity Analysis, Springer, vol. 21(1), pages 91-103, January.
    16. Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982. "The Economic Theory of Index Numbers and the Measurement of Input, Output, and Productivity," Econometrica, Econometric Society, vol. 50(6), pages 1393-1414, November.
    17. Johnes, Jill, 2006. "Data envelopment analysis and its application to the measurement of efficiency in higher education," Economics of Education Review, Elsevier, vol. 25(3), pages 273-288, June.
    18. Haney, A.B. & Pollitt, M.G., 2012. "International benchmarking of Electricity Transmission by Regulators: Theory and Practice," Cambridge Working Papers in Economics 1254, Faculty of Economics, University of Cambridge.
    19. Fare, Rolf & Grosskopf, Shawna, 1992. "Malmquist Productivity Indexes and Fisher Ideal Indexes," Economic Journal, Royal Economic Society, vol. 102(410), pages 158-160, January.
    20. Johnes, Jill, 2006. "Measuring teaching efficiency in higher education: An application of data envelopment analysis to economics graduates from UK Universities 1993," European Journal of Operational Research, Elsevier, vol. 174(1), pages 443-456, October.
    21. Camanho, A.S. & Dyson, R.G., 2008. "A generalisation of the Farrell cost efficiency measure applicable to non-fully competitive settings," Omega, Elsevier, vol. 36(1), pages 147-162, February.
    22. Brennan, Shae & Haelermans, Carla & Ruggiero, John, 2014. "Nonparametric estimation of education productivity incorporating nondiscretionary inputs with an application to Dutch schools," European Journal of Operational Research, Elsevier, vol. 234(3), pages 809-818.
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    Cited by:

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    3. Matthias Klumpp, 2018. "How to Achieve Supply Chain Sustainability Efficiently? Taming the Triple Bottom Line Split Business Cycle," Sustainability, MDPI, vol. 10(2), pages 1-23, February.
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    6. Juan Aparicio & Sergio Perelman & Daniel Santín, 2022. "Comparing the evolution of productivity and performance gaps in education systems through DEA: an application to Latin American countries," Operational Research, Springer, vol. 22(2), pages 1443-1477, April.
    7. Aparicio, Juan & Crespo-Cebada, Eva & Pedraja-Chaparro, Francisco & Santín, Daniel, 2017. "Comparing school ownership performance using a pseudo-panel database: A Malmquist-type index approach," European Journal of Operational Research, Elsevier, vol. 256(2), pages 533-542.
    8. Barnabé Walheer, 2018. "Cost Malmquist productivity index: an output-specific approach for group comparison," Journal of Productivity Analysis, Springer, vol. 49(1), pages 79-94, February.
    9. Chen, Xiang & Grifell-Tatjé, Emili & Fu, Tsu-Tan, 2023. "A profit difference decomposition model for measuring group performance: an application to Chinese and Taiwanese commercial banks," Omega, Elsevier, vol. 120(C).
    10. Reza Fallahnejad & Mohammad Reza Mozaffari & Peter Fernandes Wanke & Yong Tan, 2024. "Nash Bargaining Game Enhanced Global Malmquist Productivity Index for Cross-Productivity Index," Games, MDPI, vol. 15(1), pages 1-21, January.
    11. Afsharian, Mohsen & Ahn, Heinz & Harms, Sören Guntram, 2019. "Performance comparison of management groups under centralised management," European Journal of Operational Research, Elsevier, vol. 278(3), pages 845-854.
    12. Balk, B.M. & Zofío, J.L., 2018. "The Many Decompositions of Total Factor Productivity Change," ERIM Report Series Research in Management ERS-2018-003-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    13. Delimiro Visbal-Cadavid & Mónica Martínez-Gómez & Francisco Guijarro, 2017. "Assessing the Efficiency of Public Universities through DEA. A Case Study," Sustainability, MDPI, vol. 9(8), pages 1-19, August.
    14. Kwaku Ohene-Asare & Jones Kofi Anyimadu Asare & Charles Turkson, 2019. "Dynamic cost productivity and economies of scale of Ghanaian insurers," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 44(1), pages 148-177, January.
    15. Matthias Klumpp, 2017. "Do Forwarders Improve Sustainability Efficiency? Evidence from a European DEA Malmquist Index Calculation," Sustainability, MDPI, vol. 9(5), pages 1-33, May.
    16. Barnabé Walheer, 2022. "Global Malmquist and cost Malmquist indexes for group comparison," Journal of Productivity Analysis, Springer, vol. 58(1), pages 75-93, August.
    17. Ali Homayoni & Reza Fallahnejad & Farhad Hosseinzadeh Lotfi, 2022. "Cross Malmquist Productivity Index in Data Envelopment Analysis," 4OR, Springer, vol. 20(4), pages 567-602, December.
    18. Martin Boďa & Mariana Považanová, 2020. "Productivity patterns in Europe: adaptation of the Malmquist index to measuring group performance and productivity change over time," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 47(4), pages 949-989, November.
    19. Michael L. Polemis & Mike G. Tsionas, 2022. "Endogenous productivity: a new Bayesian perspective," Annals of Operations Research, Springer, vol. 318(1), pages 425-451, November.
    20. Hatami-Marbini, Adel & Arabmaldar, Aliasghar, 2021. "Robustness of Farrell cost efficiency measurement under data perturbations: Evidence from a US manufacturing application," European Journal of Operational Research, Elsevier, vol. 295(2), pages 604-620.
    21. Adel Hatami-Marbini & Aliasghar Arabmaldar & John Otu Asu, 2022. "Robust productivity growth and efficiency measurement with undesirable outputs: evidence from the oil industry," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(4), pages 1213-1254, December.
    22. Polcyn, Jan, 2017. "Edukacja jako dobro publiczne - próba kwantyfikacji [Education as a public good – an attempt at quantification]," MPRA Paper 76606, University Library of Munich, Germany, revised 2017.

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