A Low-Dimension Collinearity-Robust Test for Non-linearity

Jennifer L. Castle () and David F. Hendry ()

No 326, Economics Series Working Papers from University of Oxford, Department of Economics

Abstract: A new test for non-linearity is developed using weighted combinations of regressor powers based on the eigenvectors of the variance-covariance matrix. The test extends the ingenious test for heteroskedasticity proposed by White (1980), but both circumvents problems of high dimensionality and collinearity, and allows inclusion of cubic functions to ensure power against asymmetry or skewness. A Monte Carlo analysis compares the performance of the test to the optimal infeasible test and to a variant of White`s test. The relative performance of the test is encouraging: the test has the appropriate size and has high power in many situations. Furthermore, collinearity between regressors can increase the power of the test.

Keywords: Functional Form Test; Non-linearity; Collinearity (search for similar items in EconPapers)
JEL-codes: C51 C52 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-ecm
Date: 2007
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Persistent link: http://EconPapers.repec.org/RePEc:oxf:wpaper:326

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