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With or Without U? The appropriate test for a U shaped relationship

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Author Info

  • Lind , Jo Thori

    ()
    (Dept. of Economics, University of Oslo)

  • Mehlum , Halvor

    ()
    (Dept. of Economics, University of Oslo)

Abstract

Non-linear relationships are common in economic theory, and such relationships are also frequently tested empirically. We argue that the usual test of non-linear 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 both finite samples and for a large class of models.

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File URL: http://www.sv.uio.no/econ/english/research/unpublished-works/working-papers/pdf-files/2007/Memo-21-2007.pdf
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Bibliographic Info

Paper provided by Oslo University, Department of Economics in its series Memorandum with number 21/2007.

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Length: 14 pages
Date of creation: 01 Sep 2007
Date of revision:
Handle: RePEc:hhs:osloec:2007_021

Contact details of provider:
Postal: Department of Economics, University of Oslo, P.O Box 1095 Blindern, N-0317 Oslo, Norway
Phone: 22 85 51 27
Fax: 22 85 50 35
Email:
Web page: http://www.oekonomi.uio.no/indexe.html
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Related research

Keywords: U shape; hypothesis test; Kuznets curve; Fieller interval;

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  1. David L. Carr & James R. Markusen & Keith E. Maskus, 2001. "Estimating the Knowledge-Capital Model of the Multinational Enterprise," American Economic Review, American Economic Association, vol. 91(3), pages 693-708, June.
  2. Chambers, Dustin, 2007. "Trading places: Does past growth impact inequality?," Journal of Development Economics, Elsevier, vol. 82(1), pages 257-266, January.
  3. Gene M. Grossman & Alan B. Krueger, 1994. "Economic Growth and the Environment," NBER Working Papers 4634, National Bureau of Economic Research, Inc.
  4. Sebnem Kalemli-Ozcan & Bent E. Sorensen & Oved Yosha, 1999. "Risk Sharing and Industrial Specialization: Regional and International Evidence," JCPR Working Papers 86, Northwestern University/University of Chicago Joint Center for Poverty Research.
  5. Jean Imbs & Romain Wacziarg, 2003. "Stages of Diversification," American Economic Review, American Economic Association, vol. 93(1), pages 63-86, March.
  6. Terra G. Mckinnish, 2004. "Occupation, Sex-Integration, and Divorce," American Economic Review, American Economic Association, vol. 94(2), pages 322-325, May.
  7. Howitt, Peter & Griffith, Rachel & Aghion, Philippe & Blundell, Richard & Bloom, Nick, 2005. "Competition and Innovation: An Inverted-U Relationship," Scholarly Articles 4481507, Harvard University Department of Economics.
  8. Philippe Aghion & Rachel Griffith & Peter Howitt, 2006. "Vertical Integration and Competition," American Economic Review, American Economic Association, vol. 96(2), pages 97-102, May.
  9. 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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