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Reconciling Gross Output TFP Growth with Value Added TFP Growth

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  • Erwin Diewert

Abstract

This article obtains relatively simple exact expressions that relate value added total factor productivity growth (TFP) in a value added framework to the corresponding measures of TFP growth in a gross output framework when Laspeyres or Paasche indexes are used to aggregate outputs and inputs. Basically, as the input base becomes smaller, the corresponding estimates of TFP growth become larger. A fairly simple approximate relationship between Fisher indexes of gross output TFP growth and the corresponding Fisher index of value added TFP growth is also derived. The methodology developed in this article has a number of applications.

Suggested Citation

  • Erwin Diewert, 2015. "Reconciling Gross Output TFP Growth with Value Added TFP Growth," International Productivity Monitor, Centre for the Study of Living Standards, vol. 29, pages 60-67, Fall.
    • Handle: RePEc:sls:ipmsls:v:29:y:2015:4
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    File URL: http://www.csls.ca/ipm/29/diewert.pdf
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    References listed on IDEAS

    as
    1. W. Erwin Diewert & Emily Yu, 2012. "New Estimates of Real Income and Multifactor Productivity Growth for the Canadian Business Sector, 1961-2011," International Productivity Monitor, Centre for the Study of Living Standards, vol. 24, pages 27-48, Fall.
    2. W. Diewert, 2014. "US TFP growth and the contribution of changes in export and import prices to real income growth," Journal of Productivity Analysis, Springer, vol. 41(1), pages 19-39, February.
    3. Denis Lawrence & W. Diewert & Kevin Fox, 2006. "The contributions of productivity, price changes and firm size to profitability," Journal of Productivity Analysis, Springer, vol. 26(1), pages 1-13, August.
    4. Balk, Bert M., 2009. "On The Relation Between Gross Output– And Value Added–Based Productivity Measures: The Importance Of The Domar Factor," Macroeconomic Dynamics, Cambridge University Press, vol. 13(S2), pages 241-267, September.
    5. Paul Schreyer, 2001. "The OECD Productivity Manual: A Guide to the Measurement of Industry-Level and Aggregate Productivity," International Productivity Monitor, Centre for the Study of Living Standards, vol. 2, pages 37-51, Spring.
    6. Matthew Calver, 2015. "On the Relationship between Gross Output-based TFP Growth and Value Added-based TFP Growth: An Illustration Using Data from Australian Industries," International Productivity Monitor, Centre for the Study of Living Standards, vol. 29, pages 68-82, Fall.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Michael Peneder & Fabian Unterlass, 2024. "Die Produktivitätsentwicklung österreichischer Unternehmen in den Jahren 2013 bis 2020. Eine Auswertung von Mikrodaten," WIFO Monatsberichte (monthly reports), WIFO, vol. 97(1), pages 43-56, February.
    2. 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.
    3. Nicholas Oulton, 2016. "The Mystery of TFP," International Productivity Monitor, Centre for the Study of Living Standards, vol. 31, pages 68-87, Fall.
    4. Matthew Calver & Fanny McKellips, 2016. "Productivity Trends in the Canadian Transport Sector: An Overview," CSLS Research Reports 2016-04, Centre for the Study of Living Standards.
    5. Bert M. Balk, 2020. "A novel decomposition of aggregate total factor productivity change," Journal of Productivity Analysis, Springer, vol. 53(1), pages 95-105, February.
    6. Alexander Murray, 2016. "Partial versus Total Factor Productivity: Assessing Resource Use in Natural Resource Industries in Canada," CSLS Research Reports 2016-20, Centre for the Study of Living Standards.
    7. Michael Peneder & Catherine Prettner, 2021. "Entwicklung der Produktivität österreichischer Unternehmen von 2008 bis 2018. Auswertung von Mikrodaten für Österreich im Rahmen von Multiprod 2.0," WIFO Studies, WIFO, number 67450, March.
    8. Diewert, W. Erwin, 2017. "Productivity Measurement in the Public Sector: Theory and Practice," Microeconomics.ca working papers erwin_diewert-2017-1, Vancouver School of Economics, revised 02 Feb 2017.
    9. Matthew Calver, 2015. "On the Relationship between Gross Output-based TFP Growth and Value Added-based TFP Growth: An Illustration Using Data from Australian Industries," International Productivity Monitor, Centre for the Study of Living Standards, vol. 29, pages 68-82, Fall.

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    More about this item

    Keywords

    Value Added Total Factor Productivity; Total Factor Productivity; Laspeyres; Paasche; Fisher; Gross Output Total Factor Productivity;
    All these keywords.

    JEL classification:

    • C00 - Mathematical and Quantitative Methods - - General - - - General
    • C69 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Other
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity

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