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Biases in approximating log production

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Author Info

  • Kai Sun
  • Daniel J. Henderson
  • Subal C. Kumbhakar

Abstract

Most empirical work in economic growth assumes either a Cobb-Douglas production function expressed in logs or a log-approximated constant elasticity of substitution specification. Estimates from each are likely biased due to logging the model and the latter can also suffer from approximation bias. We illustrate this with a successful replication of Masanjala and Papagerogiou (2004) and then estimate both models in levels to avoid these biases. Our estimation in levels gives results in line with conventional wisdom.

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Bibliographic Info

Article provided by John Wiley & Sons, Ltd. in its journal Journal of Applied Econometrics.

Volume (Year): 26 (2011)
Issue (Month): 4 (06)
Pages: 708-714

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Handle: RePEc:wly:japmet:v:26:y:2011:i:4:p:708-714

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References

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  1. Joao Santos Silva & Silvana Tenreyro, 2005. "The Log of Gravity," CEP Discussion Papers dp0701, Centre for Economic Performance, LSE.
  2. David Backus & Espen Henriksen & Kjetil Storesletten, 2007. "Taxes and the Global Allocation of Capital," NBER Working Papers 13624, National Bureau of Economic Research, Inc.
  3. Chris Papageorgiou & Fidel Pérez Sebastián & John Duffy, 2002. "Capital-Skill Complementarity? Evidence From A Panel Of Countries," Working Papers. Serie AD 2002-09, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  4. Manning, Willard G. & Mullahy, John, 2001. "Estimating log models: to transform or not to transform?," Journal of Health Economics, Elsevier, vol. 20(4), pages 461-494, July.
  5. Winford H. Masanjala & Chris Papageorgiou, 2004. "The Solow model with CES technology: nonlinearities and parameter heterogeneity," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 19(2), pages 171-201.
  6. Papke, Leslie E & Wooldridge, Jeffrey M, 1996. "Econometric Methods for Fractional Response Variables with an Application to 401(K) Plan Participation Rates," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(6), pages 619-32, Nov.-Dec..
  7. Gourieroux Christian & Monfort Alain & Trognon A, 1982. "Pseudo maximum lilelihood methods : applications to poisson models," CEPREMAP Working Papers (Couverture Orange) 8203, CEPREMAP.
  8. Temple, Jonathan R. W., 2001. "Generalizations that aren't? Evidence on education and growth," European Economic Review, Elsevier, vol. 45(4-6), pages 905-918, May.
  9. Mankiw, N Gregory & Romer, David & Weil, David N, 1992. "A Contribution to the Empirics of Economic Growth," The Quarterly Journal of Economics, MIT Press, vol. 107(2), pages 407-37, May.
  10. Rainer Klump & Peter McAdam & Alpo Willman, 2007. "Factor Substitution and Factor-Augmenting Technical Progress in the United States: A Normalized Supply-Side System Approach," The Review of Economics and Statistics, MIT Press, vol. 89(1), pages 183-192, February.
  11. Duffy, John & Papageorgiou, Chris, 2000. " A Cross-Country Empirical Investigation of the Aggregate Production Function Specification," Journal of Economic Growth, Springer, vol. 5(1), pages 87-120, March.
  12. Thursby, Jerry G & Lovell, C A Knox, 1978. "An Investigation of the Kmenta Approximation to the CES Function," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 19(2), pages 363-77, June.
  13. Byron, Ray P & Bera, Anil K, 1983. "Least Squares Approximations to Unknown Regression Functions: A Comment," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(1), pages 255-60, February.
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Cited by:
  1. T.V.S.Ramamohan Rao, 2011. "Contemporary Relevance and Ongoing Controversies Related to the CES Production Function," Journal of Quantitative Economics, The Indian Econometric Society, vol. 9(2), pages 36-57, July.
  2. Henningsen, Arne & Henningsen, Géraldine, 2012. "On estimation of the CES production function—Revisited," Economics Letters, Elsevier, vol. 115(1), pages 67-69.
  3. María Pía Olivero & Yoto V. Yotov, 2012. "Dynamic gravity: endogenous country size and asset accumulation," Canadian Journal of Economics, Canadian Economics Association, vol. 45(1), pages 64-92, February.
  4. Prehn, Sören & Brümmer, Bernhard, 2011. "Estimation issues in disaggregate gravity trade models," DARE Discussion Papers 1107, Georg-August University of Göttingen, Department of Agricultural Economics and Rural Development (DARE).

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