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Finite-sample critical values of the Augmented Dickey-Fuller statistic: a note on lag order

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  • S Cook

Abstract

The lag order dependence of finite-sample Augmented Dickey-Fuller (ADF) critical values is examined via a comparison of the response surface specifications of Cheung and Lai (1995) and MacKinnon (1991). Theoretical, Monte Carlo and empirical evidence show failure to incorporate lag order effects reduces the power of the ADF test to reject the unit root null hypothesis. ?

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  • S Cook, 2001. "Finite-sample critical values of the Augmented Dickey-Fuller statistic: a note on lag order," Economic Issues Journal Articles, Economic Issues, vol. 6(2), pages 31-46, September.
    • Handle: RePEc:eis:articl:201cook
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    References listed on IDEAS

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    1. Schwert, G William, 2002. "Tests for Unit Roots: A Monte Carlo Investigation," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 5-17, January.
    2. Harris, R. I. D., 1992. "Testing for unit roots using the augmented Dickey-Fuller test : Some issues relating to the size, power and the lag structure of the test," Economics Letters, Elsevier, vol. 38(4), pages 381-386, April.
    3. Ng, Serena, 1995. "Testing for unit roots in flow data sampled at different frequencies," Economics Letters, Elsevier, vol. 47(3-4), pages 237-242, March.
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    Cited by:

    1. Peter Sephton, 2008. "Critical values of the augmented fractional Dickey–Fuller test," Empirical Economics, Springer, vol. 35(3), pages 437-450, November.
    2. Sebastian Kripfganz & Daniel C. Schneider, 2020. "Response Surface Regressions for Critical Value Bounds and Approximate p‐values in Equilibrium Correction Models," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 82(6), pages 1456-1481, December.
    3. Peter S. Sephton, 2024. "Finite Sample Lag Adjusted Critical Values and Probability Values for the Fourier Wavelet Unit Root Test," Computational Economics, Springer;Society for Computational Economics, vol. 64(2), pages 693-705, August.
    4. Yii, Kwang-Jing & Tan, Chai-Thing & Ho, Wing-Ken & Kwan, Xiao-Hui & Nerissa, Feng-Ting Shim & Tan, Yan-Yi & Wong, Kar-Horn, 2022. "Land availability and housing price in China: Empirical evidence from nonlinear autoregressive distributed lag (NARDL)," Land Use Policy, Elsevier, vol. 113(C).
    5. Steven Cook, 2003. "The stylized approach to unit root testing: Neglected contributions and the cost of simplicity," Journal of Applied Statistics, Taylor & Francis Journals, vol. 30(3), pages 267-272.

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