IDEAS home Printed from https://ideas.repec.org/a/eee/soceps/v45y2011i1p10-15.html
   My bibliography  Save this article

The biennial Malmquist productivity change index

Author

Listed:
  • Pastor, Jesús T.
  • Asmild, Mette
  • Lovell, C.A. Knox

Abstract

In this paper we introduce a new Malmquist productivity index that has three attractive features: it avoids linear programming infeasibilities under variable returns to scale, it allows for technical regress, and it does not need to be recomputed when a new time period is added to the data set. The proposed index is compared to both the adjacent Malmquist index and the global Malmquist index in an empirical example, which highlights the drawbacks of the existing indexes compared to the proposed biennial Malmquist index. Our results show that 13% of the observations in the data set may have to be ignored due to infeasibilities when decomposing the adjacent Malmquist index. Using only this reduced data set does at times lead to quite different results than those generated by applying the proposed biennial Malmquist index to the entire data set. The empirical example also shows that productivity change estimated between two time periods using the global Malmquist index change substantially when a third time period is added to the data set, whereas the proposed biennial Malmquist index is immune to this problem.

Suggested Citation

  • Pastor, Jesús T. & Asmild, Mette & Lovell, C.A. Knox, 2011. "The biennial Malmquist productivity change index," Socio-Economic Planning Sciences, Elsevier, vol. 45(1), pages 10-15, March.
    • Handle: RePEc:eee:soceps:v:45:y:2011:i:1:p:10-15
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0038-0121(10)00044-3
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Victoria Shestalova, 2003. "Sequential Malmquist Indices of Productivity Growth: An Application to OECD Industrial Activities," Journal of Productivity Analysis, Springer, vol. 19(2), pages 211-226, April.
    2. Pastor, Jesus T. & Lovell, C.A. Knox, 2005. "A global Malmquist productivity index," Economics Letters, Elsevier, vol. 88(2), pages 266-271, August.
    3. 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.
    4. Bert Balk, 2001. "Scale Efficiency and Productivity Change," Journal of Productivity Analysis, Springer, vol. 15(3), pages 159-183, May.
    5. Chambers Robert G. & Fare Rolf, 1994. "Hicks' Neutrality and Trade Biased Growth: A Taxonomy," Journal of Economic Theory, Elsevier, vol. 64(2), pages 554-567, December.
    6. Fare, Rolf & Shawna Grosskopf & Mary Norris & Zhongyang Zhang, 1994. "Productivity Growth, Technical Progress, and Efficiency Change in Industrialized Countries," American Economic Review, American Economic Association, vol. 84(1), pages 66-83, March.
    7. Jesús Pastor & C. Lovell, 2007. "Circularity of the Malmquist productivity index," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(3), pages 591-599, December.
    8. Mei Xue & Patrick T. Harker, 2002. "Note: Ranking DMUs with Infeasible Super-Efficiency DEA Models," Management Science, INFORMS, vol. 48(5), pages 705-710, May.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Barnabé Walheer, 2022. "Global Malmquist and cost Malmquist indexes for group comparison," Journal of Productivity Analysis, Springer, vol. 58(1), pages 75-93, August.
    2. Valentin Zelenyuk, 2023. "Productivity analysis: roots, foundations, trends and perspectives," Journal of Productivity Analysis, Springer, vol. 60(3), pages 229-247, December.
    3. 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.
    4. Mohsen Afsharian & Heinz Ahn, 2015. "The overall Malmquist index: a new approach for measuring productivity changes over time," Annals of Operations Research, Springer, vol. 226(1), pages 1-27, March.
    5. Portela, Maria C.A.S. & Thanassoulis, Emmanuel, 2010. "Malmquist-type indices in the presence of negative data: An application to bank branches," Journal of Banking & Finance, Elsevier, vol. 34(7), pages 1472-1483, July.
    6. Zabala-Iturriagagoitia, Jon Mikel & Aparicio, Juan & Ortiz, Lidia & Carayannis, Elias G. & Grigoroudis, Evangelos, 2021. "The productivity of national innovation systems in Europe: Catching up or falling behind?," Technovation, Elsevier, vol. 102(C).
    7. M C A S Portela & E Thanassoulis & A Horncastle & T Maugg, 2011. "Productivity change in the water industry in England and Wales: application of the meta-Malmquist index," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(12), pages 2173-2188, December.
    8. Aparicio, Juan & Santín, Daniel, 2022. "A New Malmquist Index Based on a Standard Technology for Measuring Total Factor Productivity Changes," MPRA Paper 114467, University Library of Munich, Germany.
    9. Yu, Ming-Miin & Chen, Li-Hsueh, 2023. "Productivity change of airlines: A global total factor productivity index with network structure," Journal of Air Transport Management, Elsevier, vol. 109(C).
    10. Jens J. Krüger, 2020. "Long‐run productivity trends: A global update with a global index," Review of Development Economics, Wiley Blackwell, vol. 24(4), pages 1393-1412, November.
    11. Pontus Mattsson & Jonas Månsson & Christian Andersson & Fredrik Bonander, 2018. "A bootstrapped Malmquist index applied to Swedish district courts," European Journal of Law and Economics, Springer, vol. 46(1), pages 109-139, August.
    12. Aparicio, Juan & Santin, Daniel, 2018. "A note on measuring group performance over time with pseudo-panels," European Journal of Operational Research, Elsevier, vol. 267(1), pages 227-235.
    13. 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.
    14. Jradi, Samah & Bouzdine Chameeva, Tatiana & Aparicio, Juan, 2019. "The measurement of revenue inefficiency over time: An additive perspective," Omega, Elsevier, vol. 83(C), pages 167-180.
    15. 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.
    16. Andreas Eder & Bernhard Mahlberg & Bernhard Stürmer, 2021. "Measuring and explaining productivity growth of renewable energy producers: An empirical study of Austrian biogas plants," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 48(1), pages 37-63, February.
    17. Dong-hyun Oh, 2010. "A global Malmquist-Luenberger productivity index," Journal of Productivity Analysis, Springer, vol. 34(3), pages 183-197, December.
    18. Aparicio, Juan & Ortiz, Lidia & Santín, Daniel, 2021. "Comparing group performance over time through the Luenberger productivity indicator: An application to school ownership in European countries," European Journal of Operational Research, Elsevier, vol. 294(2), pages 651-672.
    19. Varun Mahajan & D. K. Nauriyal & S. P. Singh, 2020. "Domestic market competitiveness of Indian drug and pharmaceutical industry," Review of Managerial Science, Springer, vol. 14(3), pages 519-559, June.
    20. Sergey Anokhin & Joakim Wincent & Erkko Autio, 2011. "Operationalizing opportunities in entrepreneurship research: use of data envelopment analysis," Small Business Economics, Springer, vol. 37(1), pages 39-57, July.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:soceps:v:45:y:2011:i:1:p:10-15. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/seps .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.