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

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  • Lind, Jo Thori
  • Mehlum, Halvor

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.

Suggested Citation

  • Lind, Jo Thori & Mehlum, Halvor, 2007. "With or Without U? - The appropriate test for a U shaped relationship," MPRA Paper 4823, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:4823
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    References listed on IDEAS

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    1. Philippe Aghion & Nick Bloom & Richard Blundell & Rachel Griffith & Peter Howitt, 2005. "Competition and Innovation: an Inverted-U Relationship," The Quarterly Journal of Economics, Oxford University Press, vol. 120(2), pages 701-728.
    2. 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.
    3. Jean Imbs & Romain Wacziarg, 2003. "Stages of Diversification," American Economic Review, American Economic Association, vol. 93(1), pages 63-86, March.
    4. Valentino Dardanoni & Antonio Forcina, 1999. "Inference for Lorenz curve orderings," Econometrics Journal, Royal Economic Society, vol. 2(1), pages 49-75.
    5. 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.
    6. Gene M. Grossman & Alan B. Krueger, 1995. "Economic Growth and the Environment," The Quarterly Journal of Economics, Oxford University Press, vol. 110(2), pages 353-377.
    7. Sebnem Kalemli-Ozcan & Bent E. Sørensen & Oved Yosha, 2003. "Risk Sharing and Industrial Specialization: Regional and International Evidence," American Economic Review, American Economic Association, vol. 93(3), pages 903-918, June.
    8. Hilary Sigman, 2002. "International Spillovers and Water Quality in Rivers: Do Countries Free Ride?," American Economic Review, American Economic Association, vol. 92(4), pages 1152-1159, September.
    9. Terra G. Mckinnish, 2004. "Occupation, Sex-Integration, and Divorce," American Economic Review, American Economic Association, vol. 94(2), pages 322-325, May.
    10. Joseph G. Hirschberg & Jenny N. Lye, 2004. "Inferences for the Extremum of Quadratic Regression Models," Department of Economics - Working Papers Series 906, The University of Melbourne.
    11. Chambers, Dustin, 2007. "Trading places: Does past growth impact inequality?," Journal of Development Economics, Elsevier, vol. 82(1), pages 257-266, January.
    12. Philippe Aghion & Rachel Griffith & Peter Howitt, 2006. "Vertical Integration and Competition," American Economic Review, American Economic Association, vol. 96(2), pages 97-102, May.
    13. repec:hrv:faseco:34330170 is not listed on IDEAS
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    More about this item

    Keywords

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

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C20 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - General

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