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On the Identification of Production Functions: How Heterogeneous is Productivity?

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  • Salvador Navarro

    (University of Western Ontario)

  • David Rivers

    (University of Western Ontario)

  • Amit Gandhi

    (University of Wisconsin)

Abstract

The estimation of production functions suffers from an unresolved identification problem caused by flexible inputs, such as intermediate inputs. We develop an identification strategy for production functions based on a transformation of the firm's short-run first order condition that solves the problem for both gross output and valueadded production functions. We apply our approach to plant-level data from Colombia and Chile, and find that a gross output production function implies fundamentally different patterns of productivity heterogeneity than a value-added specification. This finding is consistent with our analysis of the bias induced by the use of value-added.

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Bibliographic Info

Paper provided by Society for Economic Dynamics in its series 2012 Meeting Papers with number 105.

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Date of creation: 2012
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Handle: RePEc:red:sed012:105

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  1. Denny, Michael & May, Doug, 1977. "The existence of a real value-added function in the Canadian manufacturing sector," Journal of Econometrics, Elsevier, vol. 5(1), pages 55-69, January.
  2. Flavio Cunha & James Heckman & Susanne Schennach, 2010. "Estimating the Technology of Cognitive and Noncognitive Skill Formation," NBER Working Papers 15664, National Bureau of Economic Research, Inc.
  3. Allan Collard-Wexler & John Asker & Jan De Loecker, 2011. "Productivity Volatility and the Misallocation of Resources in Developing Economies," Working Papers 11-13, New York University, Leonard N. Stern School of Business, Department of Economics.
  4. Carlos Pombo, 1999. "Productividad industrial en Colombia: Una aplicación de números índices," REVISTA DE ECONOMÍA DEL ROSARIO, UNIVERSIDAD DEL ROSARIO.
  5. Pavcnik, Nina, 2002. "Trade Liberalization, Exit, and Productivity Improvement: Evidence from Chilean Plants," Review of Economic Studies, Wiley Blackwell, vol. 69(1), pages 245-76, January.
  6. Ackerberg, Daniel & Caves, Kevin & Frazer, Garth, 2006. "Structural identification of production functions," MPRA Paper 38349, University Library of Munich, Germany.
  7. Jan De Loecker, 2007. "Product Differentiation, Multi-product Firms and Estimating the Impact of Trade Liberalization on Productivity," NBER Working Papers 13155, National Bureau of Economic Research, Inc.
  8. Richard Blundell & Steve Bond, 1995. "Initial conditions and moment restrictions in dynamic panel data models," IFS Working Papers W95/17, Institute for Fiscal Studies.
  9. Hiroyuki Kasahara & Joel Rodrigue, 2005. "Does the Use of Imported Intermediates Increase Productivity? Plant-Level Evidence," University of Western Ontario, Economic Policy Research Institute Working Papers 20057, University of Western Ontario, Economic Policy Research Institute.
  10. Sanghamitra Das & Mark J. Roberts & James R. Tybout, 2007. "Market Entry Costs, Producer Heterogeneity, and Export Dynamics," Econometrica, Econometric Society, vol. 75(3), pages 837-873, 05.
  11. Jeremy T. Fox & Valérie Smeets, 2011. "Does Input Quality Drive Measured Differences in Firm Productivity?," NBER Working Papers 16853, National Bureau of Economic Research, Inc.
  12. Andrew B Bernard & Jonathan Eaton & J. Bradford Jensen & Samuel Kortum, 2000. "Plants and productivity in international trade," Working Papers 00-08, Center for Economic Studies, U.S. Census Bureau.
  13. Allan Collard-Wexler, 2010. "Productivity Dispersion and Plant Selection in the Ready-Mix Concrete Industry," 2010 Meeting Papers 105, Society for Economic Dynamics.
  14. Chad Syverson, 2004. "Market Structure and Productivity: A Concrete Example," Journal of Political Economy, University of Chicago Press, vol. 112(6), pages 1181-1222, December.
  15. James Levinsohn & Amil Petrin, 2003. "Estimating Production Functions Using Inputs to Control for Unobservables," Review of Economic Studies, Oxford University Press, vol. 70(2), pages 317-341.
  16. Raphael Bergoeing & Andrés Hernando & Andrea Repetto, 2003. "Idiosyncratic Productivity Shocks and Plant-Level Heterogeneity," Documentos de Trabajo 173, Centro de Economía Aplicada, Universidad de Chile.
  17. Ackerberg, Daniel & Lanier Benkard, C. & Berry, Steven & Pakes, Ariel, 2007. "Econometric Tools for Analyzing Market Outcomes," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 6, chapter 63 Elsevier.
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Cited by:
  1. Petrick, Matin & Kloss, Mathias, 2013. "Identifying Factor Productivity from Micro-data: The case of EU agriculture," Factor Markets Working Papers 144, Centre for European Policy Studies.
  2. Amoroso, S., 2013. "Heterogeneity of innovative, collaborative, and productive firm-level processes," Open Access publications from Tilburg University urn:nbn:nl:ui:12-5663713, Tilburg University.
  3. Don Drummond & Annette Ryan & Michael R. Veall, 2013. "Improving Canada's Productivity Performance: The Potential Contribution of Firm-level Productivity Research," International Productivity Monitor, Centre for the Study of Living Standards, vol. 26, pages 86-93, Fall.
  4. Zhang, Hongsong, 2013. "Biased Technology and Contribution of Technological Change to Economic Growth: Firm-Level Evidence," 2013 Annual Meeting, August 4-6, 2013, Washington, D.C. 150225, Agricultural and Applied Economics Association.
  5. Smeets, Valerie & Warzynski, Frederic, 2013. "Estimating productivity with multi-product firms, pricing heterogeneity and the role of international trade," Journal of International Economics, Elsevier, vol. 90(2), pages 237-244.
  6. Hiroyuki Kasahara & Yawen Liang & Joel Rodrigue, 2013. "Does Importing Intermediates Increase the Demand for Skilled Workers? Plant-level Evidence from Indonesia," CESifo Working Paper Series 4463, CESifo Group Munich.

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