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

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Author Info
Stan Hurn
Ralf Becker (National Centre for Econometric Research)

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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.

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Paper provided by National Centre for Econometric Research in its series NCER Working Paper Series with number 8.

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Date of creation: 15 Jan 2007
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Handle: RePEc:qut:auncer:2007-2

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Keywords: nonlinearity in mean heteroskedasticity wild bootstrap empirical size and power

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  1. Ireland, Peter N., 2004. "A method for taking models to the data," Journal of Economic Dynamics and Control, Elsevier, vol. 28(6), pages 1205-1226, March. [Downloadable!] (restricted)
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  2. M. Hashem Pesaran & Yongcheol Shin, 2002. "Long-Run Structural Modelling," Econometric Reviews, Taylor and Francis Journals, vol. 21(1), pages 49-87. [Downloadable!] (restricted)
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  3. Michael R. Wickens & Roberto Motto, 2001. "Estimating shocks and impulse response functions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(3), pages 371-387. [Downloadable!]
  4. Alejandro Justiniano & Bruce Preston, 2006. "Can Structural Small Open Economy Models Account For The Influence Of Foreign Disturbances?," CAMA Working Papers 2006-12, Australian National University, Centre for Applied Macroeconomic Analysis. [Downloadable!]
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  5. Pagan, A.R. & Robertson, J.C., 1995. "Structural Models of the Liquidity Effect," Papers 283, Australian National University - Department of Economics.
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  6. Gonzalo, Jesus & Ng, Serena, 2001. "A systematic framework for analyzing the dynamic effects of permanent and transitory shocks," Journal of Economic Dynamics and Control, Elsevier, vol. 25(10), pages 1527-1546, October. [Downloadable!] (restricted)
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