Jo Thori Lind
With or Without U? The appropriate test for a U shaped relationship
() and Halvor Mehlum
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.
Keywords: U shape; hypothesis test; Kuznets curve; Fieller interval; (follow links to similar papers)
JEL-Codes: C12; C20; (follow links to similar papers)
14 pages, September 1, 2007
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