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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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    More about this item

    Keywords

    U shape; hypothesis test; Kuznets curve; Fieller interval;
    All these keywords.

    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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