Testing for nonlinearity in mean in the presence of heteroskedasticity. Working paper #8

Stan Hurn and Ralf Becker
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Ralf Becker: National Centre for Econometric Research

No 8, NCER Working Paper Series from National Centre for Econometric Research

Abstract: This paper considers an important practical problem in testing time-series data for nonlinearity in mean. Most popular tests reject the null hypothesis of linearity too frequently if the the data are heteroskedastic. Two approaches to redressing this size distortion are considered, both of which have been proposed previously in the literature although not in relation to this particular problem. These are the heteroskedasticity-robust-auxiliary-regression approach and the wild bootstrap. Simulation results indicate that both approaches are effective in reducing the size distortion and that the wild bootstrap others better performance in smaller samples. Two practical examples are then used to illustrate the procedures and demonstrate the potential pitfalls encountered when using non-robust tests.

Keywords: nonlinearity in mean; heteroskedasticity; wild bootstrap; empirical size and power (search for similar items in EconPapers)
Date: 2007-01-15
New Economics Papers: this item is included in nep-ecm and nep-ets
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Persistent link: https://EconPapers.repec.org/RePEc:qut:auncer:2007-2

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