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Measuring and relating aggregate and subaggregate total factor productivity change without neoclassical assumptions

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  • Bert M. Balk

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type="main"> This article considers the relation between total factor productivity measures for individual production units and those for aggregates such as industries, sectors or economies. This topic has been treated in a number of influential publications, such as Hulten (1978), Gollop (1979) and Jorgenson et al. (1987). What distinguishes this article from other publications in this area is that I deliberately avoid the making of all kinds of (neoclassical) structural and behavioural assumptions, such as the existence of production frontiers with certain properties, or optimizing behaviour of the production units. In addition, I also treat dynamic ensembles of production units, characterized by entry and exit. Thus, a greater level of generality is achieved from which the earlier results follow as special cases.

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  • Bert M. Balk, 2015. "Measuring and relating aggregate and subaggregate total factor productivity change without neoclassical assumptions," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 69(1), pages 21-48, February.
    • Handle: RePEc:bla:stanee:v:69:y:2015:i:1:p:21-48
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    File URL: http://hdl.handle.net/10.1111/stan.12045
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    1. Pirkko Aulin-Ahmavaara & Perttu Pakarinen, 2007. "Integrated Industry and Economy-wide TFP-Measures with Different Prices in Different Uses," Economic Systems Research, Taylor & Francis Journals, vol. 19(3), pages 253-276.
    2. Charles R. Hulten, 1978. "Growth Accounting with Intermediate Inputs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(3), pages 511-518.
    3. Thijs ten Raa & Victoria Shestalova, 2021. "The Solow Residual, Domar Aggregation, and Inefficiency: A Synthesis of TFP Measures," World Scientific Book Chapters, in: Efficiency and Input-Output Analyses Theory and Applications, chapter 2, pages 23-38, World Scientific Publishing Co. Pte. Ltd..
    4. Marcela Eslava & John Haltiwanger & Adriana Kugler & Maurice Kugler, 2013. "Trade and Market Selection: Evidence from Manufacturing Plants in Colombia," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 16(1), pages 135-158, January.
    5. Bert Balk, 2003. "The Residual: On Monitoring and Benchmarking Firms, Industries, and Economies with Respect to Productivity," Journal of Productivity Analysis, Springer, vol. 20(1), pages 5-47, July.
    6. Bert M. Balk, 2010. "An Assumption‐Free Framework For Measuring Productivity Change," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 56(s1), pages 224-256, June.
    7. Chad Syverson, 2011. "What Determines Productivity?," Journal of Economic Literature, American Economic Association, vol. 49(2), pages 326-365, June.
    8. Balk,Bert M., 2012. "Price and Quantity Index Numbers," Cambridge Books, Cambridge University Press, number 9781107404960.
    9. Lucia Foster & John Haltiwanger & Chad Syverson, 2008. "Reallocation, Firm Turnover, and Efficiency: Selection on Productivity or Profitability?," American Economic Review, American Economic Association, vol. 98(1), pages 394-425, March.
    10. Dale W. Jorgenson & Paul Schreyer, 2013. "Industry-Level Productivity Measurement And The 2008 System Of National Accounts," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 59(2), pages 185-211, June.
    11. 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.
    12. Xavier Gabaix, 2011. "The Granular Origins of Aggregate Fluctuations," Econometrica, Econometric Society, vol. 79(3), pages 733-772, May.
    13. Diewert, W Erwin, 1978. "Superlative Index Numbers and Consistency in Aggregation," Econometrica, Econometric Society, vol. 46(4), pages 883-900, July.
    14. Wolff, Edward N., 1994. "Productivity measurement within an input-output framework," Regional Science and Urban Economics, Elsevier, vol. 24(1), pages 75-92, February.
    15. Bert Balk, 2014. "Dissecting aggregate output and labour productivity change," Journal of Productivity Analysis, Springer, vol. 42(1), pages 35-43, August.
    16. Thijs Raa, 2011. "Benchmarking and industry performance," Journal of Productivity Analysis, Springer, vol. 36(3), pages 285-292, December.
    17. Dale W. Jorgenson & Mun S. Ho & Kevin J. Stiroh, 2005. "Productivity, Volume 3: Information Technology and the American Growth Resurgence," MIT Press Books, The MIT Press, edition 1, volume 3, number 0262101114, December.
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    1. Bert M. Balk, 2010. "An Assumption‐Free Framework For Measuring Productivity Change," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 56(s1), pages 224-256, June.
    2. Bert M. Balk, 2016. "Various Approaches to the Aggregation of Economic Productivity Indices," Pacific Economic Review, Wiley Blackwell, vol. 21(4), pages 445-463, October.
    3. 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.
    4. 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.
    5. 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.

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