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Index Number Concepts, Measures and Decompositions of Productivity Growth

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  • W. Diewert

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  • Alice Nakamura

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Abstract

This paper explores the definitions and properties of total factor productivity growth (TFPG) indexes, focusing especially on the Paasche, Laspeyres, Fisher, Törnqvist, and implicit Törnqvist ones. These indexes can be evaluated from observable price and quantity data, and certain of these are shown to be measures of TFPG concepts and theoretical indexes that have been proposed in the literature. The mathematical relationships between these and quantity aggregates, financial measures, and price and quantity indexes are explored. Decompositions of the productivity growth indexes are also given. The paper concludes with a brief overview of some limitations on our analysis. Copyright Kluwer Academic Publishers 2003

Suggested Citation

  • W. Diewert & Alice Nakamura, 2003. "Index Number Concepts, Measures and Decompositions of Productivity Growth," Journal of Productivity Analysis, Springer, vol. 19(2), pages 127-159, April.
  • Handle: RePEc:kap:jproda:v:19:y:2003:i:2:p:127-159 DOI: 10.1023/A:1022897231521
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    References listed on IDEAS

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    1. Morrison, Catherine J., 1986. "Productivity measurement with non-static expectations and varying capacity utilization : An integrated approach," Journal of Econometrics, Elsevier, vol. 33(1-2), pages 51-74.
    2. Diewert, W. Erwin, 1998. "High Inflation, Seasonal Commodities, And Annual Index Numbers," Macroeconomic Dynamics, Cambridge University Press, vol. 2(04), pages 456-471, December.
    3. D. W. Jorgenson & Z. Griliches, 1967. "The Explanation of Productivity Change," Review of Economic Studies, Oxford University Press, vol. 34(3), pages 249-283.
    4. Surendra Gera & Wulong Wu & Frank C. Lee, 1999. "Information technology and productivity growth: an empirical analysis for Canada and the United States," Canadian Journal of Economics, Canadian Economics Association, vol. 32(2), pages 384-407, April.
    5. Diewert, W E & Wales, T J, 1992. "Quadratic Spline Models for Producer's Supply and Demand Functions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(3), pages 705-722, August.
    6. W. Erwin Diewert & Ann Marie Smith, 1994. "Productivity Measurement for a Distribution Firm," NBER Working Papers 4812, National Bureau of Economic Research, Inc.
    7. Jeffrey I. Bernstein, 1999. "Total factor productivity growth in the Canadian life insurance industry: 1979-1989," Canadian Journal of Economics, Canadian Economics Association, vol. 32(2), pages 500-517, April.
    8. Diewert, W Erwin, 1978. "Superlative Index Numbers and Consistency in Aggregation," Econometrica, Econometric Society, vol. 46(4), pages 883-900, July.
    9. Harberger, Arnold C, 1998. "A Vision of the Growth Process," American Economic Review, American Economic Association, pages 1-32.
    10. Jorgenson, Dale W & Nishimizu, Mieko, 1978. "U.S. and Japanese Economic Growth, 1952-1974: An International Comparison," Economic Journal, Royal Economic Society, vol. 88(352), pages 707-726, December.
    11. Michael C. Wolfson, 1999. "New goods and the mesaurement of real economic growth," Canadian Journal of Economics, Canadian Economics Association, vol. 32(2), pages 447-470, April.
    12. Jeffrey Bernstein, 1998. "Factor Intensities, Rates of Return, and International R&D Spillovers: The Case of Canadian and U.S. Industries," Annals of Economics and Statistics, GENES, issue 49-50, pages 541-564.
    13. Burgess, David F, 1974. "A Cost Minimization Approach to Import Demand Equations," The Review of Economics and Statistics, MIT Press, vol. 56(2), pages 225-234, May.
    14. Eichhorn, W, 1976. "Fisher's Tests Revisited," Econometrica, Econometric Society, vol. 44(2), pages 247-256, March.
    15. W. Erwin Diewert, 1980. "Aggregation Problems in the Measurement of Capital," NBER Chapters,in: The Measurement of Capital, pages 433-538 National Bureau of Economic Research, Inc.
    16. Kevin Fox & Ulrich Kohli, 1998. "GDP growth, terms-of-trade effects, and total factor productivity," The Journal of International Trade & Economic Development, Taylor & Francis Journals, pages 87-110.
    17. Takanobu Nakajima & Masao Nakamura & Kanji Yoshioka, 1998. "An Index Number Method for Estimating Scale Economies and Technical Processes Using Time-series of Cross-section Data: Sources of Total Factor Productivity Growth for Japanese Manufacturing, 1964–1988," The Japanese Economic Review, Japanese Economic Association, vol. 49(3), pages 310-334, September.
    18. Morrison, Catherine J, 1988. "Quasi-Fixed Inputs in U.S. and Japanese Manufacturing: A Generalized Leontief Restricted Cost Function Approach," The Review of Economics and Statistics, MIT Press, vol. 70(2), pages 275-287, May.
    19. Kevin Fox & Ulrich Kohli, 1998. "GDP growth, terms-of-trade effects, and total factor productivity," The Journal of International Trade & Economic Development, Taylor & Francis Journals, pages 87-110.
    20. repec:adr:anecst:y:1998:i:49-50:p:21 is not listed on IDEAS
    21. Diewert, W. Erwin, 1999. "Index Number Approaches To Seasonal Adjustment," Macroeconomic Dynamics, Cambridge University Press, vol. 3(01), pages 48-68, March.
    22. W. Erwin Diewert, 1998. "Index Number Issues in the Consumer Price Index," Journal of Economic Perspectives, American Economic Association, vol. 12(1), pages 47-58, Winter.
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    Cited by:

    1. Diogo Cunha Ferreira & Rui Cunha Marques, 2016. "Malmquist and Hicks–Moorsteen Productivity Indexes for Clusters Performance Evaluation," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., pages 1015-1053.
    2. Barnett, William A. & Erwin Diewert, W. & Zellner, Arnold, 2011. "Introduction to measurement with theory," Journal of Econometrics, Elsevier, vol. 161(1), pages 1-5, March.
    3. 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.
    4. Diewert, W. Erwin & Huang, Ning, 2011. "Capitalizing R&D Expenditures," Macroeconomic Dynamics, Cambridge University Press, vol. 15(04), pages 537-564, September.
    5. Burda, Michael C. & Severgnini, Battista, 2014. "Solow residuals without capital stocks," Journal of Development Economics, Elsevier, pages 154-171.
    6. W. Diewert, 2011. "Measuring productivity in the public sector: some conceptual problems," Journal of Productivity Analysis, Springer, vol. 36(2), pages 177-191, October.
    7. Diewert, Erwin & Mizobuchi, Hideyuki, 2009. "An Economic Approach to the Measurement of Productivity Growth Using Differences Instead of Ratios," Economics working papers erwin_diewert-2009-2, Vancouver School of Economics, revised 09 Jan 2009.
    8. Feng, Guohua & Serletis, Apostolos, 2010. "A primal Divisia technical change index based on the output distance function," Journal of Econometrics, Elsevier, pages 320-330.
    9. 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.
    10. Raurich, Xavier & Sala, Hector & Sorolla, Valeri, 2012. "Factor shares, the price markup, and the elasticity of substitution between capital and labor," Journal of Macroeconomics, Elsevier, pages 181-198.
    11. Cherchye, Laurens & Knox Lovell, C.A. & Moesen, Wim & Van Puyenbroeck, Tom, 2007. "One market, one number? A composite indicator assessment of EU internal market dynamics," European Economic Review, Elsevier, vol. 51(3), pages 749-779, April.
    12. Diewert, W. Erwin, 2014. "Decompositions of profitability change using cost functions," Journal of Econometrics, Elsevier, vol. 183(1), pages 58-66.
    13. Raurich, Xavier & Sala, Hector & Sorolla, Valeri, 2012. "Factor shares, the price markup, and the elasticity of substitution between capital and labor," Journal of Macroeconomics, Elsevier, pages 181-198.
    14. Yang, Fuxia & Yang, Mian & Nie, Hualin, 2013. "Productivity trends of Chinese regions: A perspective from energy saving and environmental regulations," Applied Energy, Elsevier, pages 82-89.
    15. Diewert, W. Erwin & Fox, Kevin J., 2016. "Kevin J. Fox Interview of W. Erwin Diewert," Microeconomics.ca working papers erwin_diewert-2016-6, Vancouver School of Economics, revised 02 Jun 2016.
    16. Heinz Handler & Andreas Knabe & Bertrand Koebel & Margit Schratzenstaller & Sven Wehke, 2005. "The Impact of Public Budgets on Overall Productivity Growth," WIFO Working Papers 255, WIFO.
    17. Marion Dovis, 2009. "Formulation et estimation des modèles de mesure de la productivité totale des facteurs : une étude sur un panel d'entreprises turques," Revue d'économie politique, Dalloz, vol. 119(6), pages 945-982.
    18. Diewert, Erwin, 2007. "Index Numbers," Economics working papers diewert-07-01-03-08-17-23, Vancouver School of Economics, revised 31 Jan 2007.
    19. Feng, Guohua & Serletis, Apostolos, 2008. "Productivity trends in U.S. manufacturing: Evidence from the NQ and AIM cost functions," Journal of Econometrics, Elsevier, vol. 142(1), pages 281-311, January.
    20. Thomas von Brasch, 2015. "On measuring the contribution from firm turnover to aggregate productivity growth. Selection on profitability and not productivity," Discussion Papers 819, Statistics Norway, Research Department.
    21. Ten Raa, T. & Shestalova, V., 2006. "Alternative Measures of Total Factor Productivity Growth," Discussion Paper 2006-54, Tilburg University, Center for Economic Research.

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    Keywords

    index numbers; productivity; TFP; TFPG; technical change;

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