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Estimating Total Factor Productivity Change When No Price or Value-Share Data are Available

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Abstract

Total factor productivity (TFP) is a measure of total output divided by a measure of total input. A TFP index is a measure of total output change divided by a measure of total input change (i.e., an output index divided by an input index). It is common to compute output and input index numbers using formulas that combine quantity data with either price or value-share data. Examples include the well-known Fisher and To ̈rnqvist indices. This paper explains how output and input index numbers (and there- fore TFP index numbers) can be computed using quantity data only. It draws heavily on O’Donnell (2012, 2014, 2016).

Suggested Citation

  • C.J. O’Donnell, 2017. "Estimating Total Factor Productivity Change When No Price or Value-Share Data are Available," CEPA Working Papers Series WP012017, School of Economics, University of Queensland, Australia.
  • Handle: RePEc:qld:uqcepa:118
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    File URL: https://economics.uq.edu.au/files/5037/WP012017.pdf
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    1. Greene, William H., 1980. "Maximum likelihood estimation of econometric frontier functions," Journal of Econometrics, Elsevier, vol. 13(1), pages 27-56, May.
    2. Sai Ding & Alessandra Guariglia & Richard Harris, 2016. "The determinants of productivity in Chinese large and medium-sized industrial firms, 1998–2007," Journal of Productivity Analysis, Springer, vol. 45(2), pages 131-155, April.
    3. Richard Harris & John Moffat, 2015. "Plant-level determinants of total factor productivity in Great Britain, 1997–2008," Journal of Productivity Analysis, Springer, vol. 44(1), pages 1-20, August.
    4. Balk,Bert M., 2012. "Price and Quantity Index Numbers," Cambridge Books, Cambridge University Press, number 9781107404960, January.
    5. Fried, Harold O. & Lovell, C. A. Knox & Schmidt, Shelton S. (ed.), 2008. "The Measurement of Productive Efficiency and Productivity Growth," OUP Catalogue, Oxford University Press, number 9780195183528, Decembrie.
    6. Aczel, J. & Eichhorn, W., 1974. "A note on additive indices," Journal of Economic Theory, Elsevier, vol. 8(4), pages 525-529, August.
    7. Bjurek, Hans, 1996. " The Malmquist Total Factor Productivity Index," Scandinavian Journal of Economics, Wiley Blackwell, vol. 98(2), pages 303-313, June.
    8. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    9. Meeusen, Wim & van den Broeck, Julien, 1977. "Efficiency Estimation from Cobb-Douglas Production Functions with Composed Error," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(2), pages 435-444, June.
    10. Olley, G Steven & Pakes, Ariel, 1996. "The Dynamics of Productivity in the Telecommunications Equipment Industry," Econometrica, Econometric Society, vol. 64(6), pages 1263-1297, November.
    11. Geweke, John, 1986. "Exact Inference in the Inequality Constrained Normal Linear Regression Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 1(2), pages 127-141, April.
    12. 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.
    13. Stevenson, Rodney E., 1980. "Likelihood functions for generalized stochastic frontier estimation," Journal of Econometrics, Elsevier, vol. 13(1), pages 57-66, May.
    14. Schmidt, Peter, 1976. "On the Statistical Estimation of Parametric Frontier Production Functions," The Review of Economics and Statistics, MIT Press, vol. 58(2), pages 238-239, May.
    15. Beavis,Brian & Dobbs,Ian, 1990. "Optimisation and Stability Theory for Economic Analysis," Cambridge Books, Cambridge University Press, number 9780521336055.
    16. Richard H. Moorsteen, 1961. "On Measuring Productive Potential and Relative Efficiency," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 75(3), pages 451-467.
    17. R. D. Banker & A. Charnes & W. W. Cooper, 1984. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, INFORMS, vol. 30(9), pages 1078-1092, September.
    18. Aigner, Dennis & Lovell, C. A. Knox & Schmidt, Peter, 1977. "Formulation and estimation of stochastic frontier production function models," Journal of Econometrics, Elsevier, vol. 6(1), pages 21-37, July.
    19. Richmond, J, 1974. "Estimating the Efficiency of Production," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 15(2), pages 515-521, June.
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