IDEAS home Printed from https://ideas.repec.org/a/kap/jproda/v16y2001i2p107-128.html
   My bibliography  Save this article

Measurement of Productivity Changes: Two Malmquist Index Approaches

Author

Listed:
  • Rikard Althin

Abstract

The adjacent Malmquist productivity index is compared to the more recently suggested base period Malmquist productivity index. The two index approaches are evaluated with respect to base period dependency, the circular test, and with respect to a set of additional classical index tests. In addition it is shown that the base period index is independent of base period if and only if the marginal rate of substitution of inputs is independent of time. Finally, the adjacent and the base period indexes are put through a Monte Carlo (bootstrap) test to see if they yield similar results when applied to a panel of Swedish pharmacy data. Copyright Kluwer Academic Publishers 2001

Suggested Citation

  • Rikard Althin, 2001. "Measurement of Productivity Changes: Two Malmquist Index Approaches," Journal of Productivity Analysis, Springer, vol. 16(2), pages 107-128, September.
    • Handle: RePEc:kap:jproda:v:16:y:2001:i:2:p:107-128
    DOI: 10.1023/A:1011682625976
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1023/A:1011682625976
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1023/A:1011682625976?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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. Samuelson, Paul A & Swamy, S, 1974. "Invariant Economic Index Numbers and Canonical Duality: Survey and Synthesis," American Economic Review, American Economic Association, vol. 64(4), pages 566-593, September.
    2. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Roberto Ezcurra & Belen Iraizoz & Pedro Pascual, 2009. "Total Factor Productivity, Efficiency, and Technological Change in the European Regions: A Nonparametric Approach," Environment and Planning A, , vol. 41(5), pages 1152-1170, May.
    2. Briec, Walter & Kerstens, Kristiaan, 2009. "The Luenberger productivity indicator: An economic specification leading to infeasibilities," Economic Modelling, Elsevier, vol. 26(3), pages 597-600, May.
    3. Barnabé Walheer, 2022. "Global Malmquist and cost Malmquist indexes for group comparison," Journal of Productivity Analysis, Springer, vol. 58(1), pages 75-93, August.
    4. Odeck, James, 2009. "Statistical precision of DEA and Malmquist indices: A bootstrap application to Norwegian grain producers," Omega, Elsevier, vol. 37(5), pages 1007-1017, October.
    5. 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.
    6. Apostolos G. Christopoulos & Ioannis G. Dokas & Sofia Katsimardou & Konstantinos Vlachogiannatos, 2016. "Investigation of the relative efficiency for the Greek listed firms of the construction sector based on two DEA approaches for the period 2006–2012," Operational Research, Springer, vol. 16(3), pages 423-444, October.
    7. Diego Prior, 2006. "Efficiency and total quality management in health care organizations: A dynamic frontier approach," Annals of Operations Research, Springer, vol. 145(1), pages 281-299, July.
    8. Zhou, Xun & Kuosmanen, Timo, 2020. "What drives decarbonization of new passenger cars?," European Journal of Operational Research, Elsevier, vol. 284(3), pages 1043-1057.
    9. Mette Asmild & Joseph Paradi & Vanita Aggarwall & Claire Schaffnit, 2004. "Combining DEA Window Analysis with the Malmquist Index Approach in a Study of the Canadian Banking Industry," Journal of Productivity Analysis, Springer, vol. 21(1), pages 67-89, January.
    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. 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.
    12. Aparicio, Juan & Santín, Daniel, 2024. "Global and local technical changes: A new decomposition of the Malmquist productivity index using virtual units," Economic Modelling, Elsevier, vol. 134(C).
    13. 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.
    14. Pastor, Jesus T. & Lovell, C.A. Knox, 2005. "A global Malmquist productivity index," Economics Letters, Elsevier, vol. 88(2), pages 266-271, August.
    15. 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.
    16. James Odeck, 2005. "Evaluating target achievements in the public sector: An application or a rare non-parametric DEA and Malmquist indices," Journal of Applied Economics, Universidad del CEMA, vol. 8, pages 171-190, May.
    17. Kim, Nam Hyok & He, Feng & Kwon, O Chol, 2023. "Combining common-weights DEA window with the Malmquist index: A case of China’s iron and steel industry," Socio-Economic Planning Sciences, Elsevier, vol. 87(PB).
    18. 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.

    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. W. Erwin Diewert & Kevin J. Fox, 2017. "Decomposing Value Added Growth into Explanatory Factors," Discussion Papers 2017-02, School of Economics, The University of New South Wales.
    2. David R Baqaee & Ariel Burstein, 2023. "Welfare and Output With Income Effects and Taste Shocks," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 138(2), pages 769-834.
    3. Diewert, Erwin, 2009. "Cost of Living Indexes and Exact Index Numbers," Economics working papers erwin_diewert-2009-6, Vancouver School of Economics, revised 13 Feb 2009.
    4. W. Briec & K. Kerstens, 2009. "Infeasibility and Directional Distance Functions with Application to the Determinateness of the Luenberger Productivity Indicator," Journal of Optimization Theory and Applications, Springer, vol. 141(1), pages 55-73, April.
    5. Aparicio, Juan & Zofío, José L., 2023. "Decomposing profit change: Konüs, Bennet and Luenberger indicators," Socio-Economic Planning Sciences, Elsevier, vol. 87(PB).
    6. Christopher O’Donnell, 2022. "How to Build Sustainable Productivity Indexes," CEPA Working Papers Series WP102022, School of Economics, University of Queensland, Australia.
    7. Rolf Färe & Valentin Zelenyuk, 2020. "POn Fisher Aggregation of Multi-factor Productivity Indexes," CEPA Working Papers Series WP082020, School of Economics, University of Queensland, Australia.
    8. J. Peter Neary, 2004. "Rationalizing the Penn World Table: True Multilateral Indices for International Comparisons of Real Income," American Economic Review, American Economic Association, vol. 94(5), pages 1411-1428, December.
    9. Diewert, Erwin & Fox, Kevin J., 2019. "Productivity Indexes and National Statistics: Theory, Methods and Challenges," Microeconomics.ca working papers erwin_diewert-2019-8, Vancouver School of Economics, revised 25 Apr 2019.
    10. Georganta, Zoe, 1997. "The effect of a free market price mechanism on total factor productivity: The case of the agricultural crop industry in Greece," International Journal of Production Economics, Elsevier, vol. 52(1-2), pages 55-71, October.
    11. Paul Schreyer, 2021. "Framing Measurement Beyond GDP," CEPA Working Papers Series WP172021, School of Economics, University of Queensland, Australia.
    12. Bjurek, Hans & Hjalmarsson, Lennart, 1995. "Productivity in multiple output public service: A quadratic frontier function and Malmquist index approach," Journal of Public Economics, Elsevier, vol. 56(3), pages 447-460, March.
    13. Jack E. Triplett, 1983. "Introduction: An Essay on Labor Cost," NBER Chapters, in: The Measurement of Labor Cost, pages 1-60, National Bureau of Economic Research, Inc.
    14. R. Luce & M. Raith & E. Rasmusen & S. Grosskopf & K. Velupillai & W. Pauwels & E. Furubotn & P. Schmitz & S. Napel, 2000. "Book reviews," Journal of Economics, Springer, vol. 71(3), pages 316-342, October.
    15. Esteban Lafuente & Zoltan J. Acs & Mark Sanders & László Szerb, 2020. "The global technology frontier: productivity growth and the relevance of Kirznerian and Schumpeterian entrepreneurship," Small Business Economics, Springer, vol. 55(1), pages 153-178, June.
    16. Santos, João & Domingos, Tiago & Sousa, Tânia & St. Aubyn, Miguel, 2016. "Does a small cost share reflect a negligible role for energy in economic production? Testing for aggregate production functions including capital, labor, and useful exergy through a cointegration-base," MPRA Paper 70850, University Library of Munich, Germany.
    17. Claude Hillinger, 2002. "A General Theory of Price and Quantity Aggregation and Welfare Measurement," CESifo Working Paper Series 818, CESifo.
    18. Jan Kluge & Sarah Lappöhn & Kerstin Plank, 2023. "Predictors of TFP growth in European countries," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 50(1), pages 109-140, February.
    19. Noel Uri, 2001. "Telecommunications in the United States and Changing Productive Efficiency," Journal of Industry, Competition and Trade, Springer, vol. 1(3), pages 321-335, September.
    20. Epure, Mircea & Kerstens, Kristiaan & Prior, Diego, 2011. "Technology-based total factor productivity and benchmarking: New proposals and an application," Omega, Elsevier, vol. 39(6), pages 608-619, December.

    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:kap:jproda:v:16:y:2001:i:2:p:107-128. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.