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The Many Decompositions of Total Factor Productivity Change

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  • Balk, B.M.
  • Zofío, J.L.

Abstract

Total factor productivity change, here defined as output quantity change di- vided by input quantity change, is the combined result of (technical) efficiency change, technological change, a scale effect, and input and output mix ef- fects. Sometimes allocative efficiency change is supposed to also play a role. Given a certain functional form for the productivity index, the problem is how to decompose such an index into factors corresponding to these five or six components. A basic insight offered in the present paper is that mean- ingful decompositions of productivity indices can only be obtained for indices which are transitive in the main variables. Using a unified approach, we ob- tain decompositions for Malmquist, Moorsteen-Bjurek, price-weighted, and share-weighted productivity indices. A unique feature of this paper is that all the decompositions are applied to the same dataset of a real-life panel of decision-making units so that the extent of the differences between the various decompositions can be judged.

Suggested Citation

  • 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.
    • Handle: RePEc:ems:eureri:104721
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    References listed on IDEAS

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    1. Agrell, Per J. & Martin West, B., 2001. "A caveat on the measurement of productive efficiency," International Journal of Production Economics, Elsevier, vol. 69(1), pages 1-14, January.
    2. 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.
    3. Antonio Peyrache, 2014. "Hicks-Moorsteen versus Malmquist: a connection by means of a radial productivity index," Journal of Productivity Analysis, Springer, vol. 41(3), pages 435-442, June.
    4. John R. Hicks, 1961. "The Measurement of Capital in Relation to the Measurement of Other Economic Aggregates," International Economic Association Series, in: D. C. Hague (ed.), The Theory of Capital, chapter 0, pages 18-31, Palgrave Macmillan.
    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. 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.
    7. Christos Pantzios & Giannis Karagiannis & Vangelis Tzouvelekas, 2011. "Parametric decomposition of the input-oriented Malmquist productivity index: with an application to Greek aquaculture," Journal of Productivity Analysis, Springer, vol. 36(1), pages 21-31, August.
    8. Maniadakis, Nikolaos & Thanassoulis, Emmanuel, 2004. "A cost Malmquist productivity index," European Journal of Operational Research, Elsevier, vol. 154(2), pages 396-409, April.
    9. Tim Coelli & Antonio Estache & Sergio Perelman & Lourdes Trujillo, 2003. "A Primer on Efficiency Measurement for Utilities and Transport Regulators," World Bank Publications - Books, The World Bank Group, number 15149.
    10. 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.
    11. Hideyuki Mizobuchi, 2017. "Productivity indexes under Hicks neutral technical change," Journal of Productivity Analysis, Springer, vol. 48(1), pages 63-68, August.
    12. 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.
    13. Gerald Granderson & Diego Prior, 2013. "Environmental externalities and regulation constrained cost productivity growth in the US electric utility industry," Journal of Productivity Analysis, Springer, vol. 39(3), pages 243-257, June.
    14. Aparicio, Juan & Pastor, Jesus T. & Zofio, Jose L., 2015. "How to properly decompose economic efficiency using technical and allocative criteria with non-homothetic DEA technologies," European Journal of Operational Research, Elsevier, vol. 240(3), pages 882-891.
    15. Juan Aparicio & C. A. Knox Lovell & Jesus T. Pastor (ed.), 2016. "Advances in Efficiency and Productivity," International Series in Operations Research and Management Science, Springer, number 978-3-319-48461-7, December.
    16. Balk, B.M. & Barbero, J. & Zofío, J.L., 2018. "A Total Factor Productivity Toolbox for MATLAB," ERIM Report Series Research in Management ERS-2018-004-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.
    17. Balk,Bert M., 2012. "Price and Quantity Index Numbers," Cambridge Books, Cambridge University Press, number 9781107404960.
    18. C. Lovell, 2003. "The Decomposition of Malmquist Productivity Indexes," Journal of Productivity Analysis, Springer, vol. 20(3), pages 437-458, November.
    19. R. Robert Russell & William Schworm, 2018. "Technological inefficiency indexes: a binary taxonomy and a generic theorem," Journal of Productivity Analysis, Springer, vol. 49(1), pages 17-23, February.
    20. F. A. Lutz, 1961. "The Theory of Capital," International Economic Association Series, Palgrave Macmillan, number 978-1-349-08452-4 edited by D. C. Hague, December.
    21. Jiro Nemoto & Mika Goto, 2005. "Productivity, Efficiency, Scale Economies and Technical Change: A New Decomposition Analysis," NBER Working Papers 11373, National Bureau of Economic Research, Inc.
    22. 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.
    23. Ku-Hsieh Chen & Hao-Yen Yang, 2011. "A cross-country comparison of productivity growth using the generalised metafrontier Malmquist productivity index: with application to banking industries in Taiwan and China," Journal of Productivity Analysis, Springer, vol. 35(3), pages 197-212, June.
    24. Karagiannis, Giannis & Knox Lovell, C.A., 2016. "Productivity measurement in radial DEA models with a single constant input," European Journal of Operational Research, Elsevier, vol. 251(1), pages 323-328.
    25. 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.
    26. Nemoto, Jiro & Goto, Mika, 2005. "Productivity, efficiency, scale economies and technical change: A new decomposition analysis of TFP applied to the Japanese prefectures," Journal of the Japanese and International Economies, Elsevier, vol. 19(4), pages 617-634, December.
    27. Sealey, Calvin W, Jr & Lindley, James T, 1977. "Inputs, Outputs, and a Theory of Production and Cost at Depository Financial Institutions," Journal of Finance, American Finance Association, vol. 32(4), pages 1251-1266, September.
    28. Fare, Rolf & Grosskopf, Shawna & Norris, Mary, 1997. "Productivity Growth, Technical Progress, and Efficiency Change in Industrialized Countries: Reply," American Economic Review, American Economic Association, vol. 87(5), pages 1040-1043, December.
    29. Ball, E. & Fare, R. & Grosskopf, S. & Zaim, O., 2005. "Accounting for externalities in the measurement of productivity growth: the Malmquist cost productivity measure," Structural Change and Economic Dynamics, Elsevier, vol. 16(3), pages 374-394, September.
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    Cited by:

    1. Christos Pantzios & Giannis Karagiannis & Vangelis Tzouvelekas, 2011. "Parametric decomposition of the input-oriented Malmquist productivity index: with an application to Greek aquaculture," Journal of Productivity Analysis, Springer, vol. 36(1), pages 21-31, August.
    2. Bannor, Frank & Dikgang, Johane & Gelo, Dambala, 2021. "Is climate variability subversive for agricultural total factor productivity growth? Long-run evidence from sub-Saharan Africa," MPRA Paper 107590, University Library of Munich, Germany.
    3. Rolf Färe & Valentin Zelenyuk, 2021. "On aggregation of multi-factor productivity indexes," Journal of Productivity Analysis, Springer, vol. 55(2), pages 107-133, April.
    4. Bert M. Balk, 2007. "Measuring Productivity Change without Neoclassical Assumptions: A Conceptual Analysis," CEPA Working Papers Series WP042007, School of Economics, University of Queensland, Australia.
    5. 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.

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    More about this item

    Keywords

    total factor productivity; index; decomposition; Malmquist; Moorsteen; Bjurek; Fisher; Törnqvist;
    All these keywords.

    JEL classification:

    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis

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