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With or Without U? The Appropriate Test for a U-Shaped Relationship

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  • Jo Thori Lind
  • Halvor Mehlum

Abstract

Nonlinear relationships are common in economic theory, and such relationships are also frequently tested empirically. We argue that the usual test of nonlinear relationships is flawed and derive the appropriate test for a U-shaped relationship. Our test gives the exact necessary and sufficient conditions for the test of a U shape in finite samples in a large class of models. Copyright (c) Blackwell Publishing Ltd and the Department of Economics, University of Oxford, 2009.

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File URL: http://www.blackwell-synergy.com/doi/abs/10.1111/j.1468-0084.2009.00569.x
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Bibliographic Info

Article provided by Department of Economics, University of Oxford in its journal Oxford Bulletin of Economics and Statistics.

Volume (Year): 72 (2010)
Issue (Month): 1 (02)
Pages: 109-118

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Handle: RePEc:bla:obuest:v:72:y:2010:i:1:p:109-118

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  1. Gene M. Grossman & Alan B. Krueger, 1994. "Economic Growth and the Environment," NBER Working Papers 4634, National Bureau of Economic Research, Inc.
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  5. Philippe Aghion & Nicholas Bloom & Richard Blundell & Rachel Griffith & Peter Howitt, 2002. "Competition and Innovation: An Inverted U Relationship," NBER Working Papers 9269, National Bureau of Economic Research, Inc.
  6. Wacziarg, Romain & Imbs, Jean, 2000. "Stages of Diversification," Research Papers 1653, Stanford University, Graduate School of Business.
  7. Chambers, Dustin, 2007. "Trading places: Does past growth impact inequality?," Journal of Development Economics, Elsevier, vol. 82(1), pages 257-266, January.
  8. Selden Thomas M. & Song Daqing, 1994. "Environmental Quality and Development: Is There a Kuznets Curve for Air Pollution Emissions?," Journal of Environmental Economics and Management, Elsevier, vol. 27(2), pages 147-162, September.
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