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Finite-sample distribution of the augmented Dickey--Fuller test with lag optimization

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  • Pui Sun Tam

Abstract

This article presents a response surface analysis for the distribution of the augmented Dickey--Fuller (ADF) test with optimized lag order in the autoregression using frequently applied data-dependent methods. Simulation results demonstrate that finite-sample distribution of the test depends critically on the lag-order determination rule. The univariate test and its panel counterparts exhibit size distortion when the lag order in the autoregression is optimized but inappropriate distribution is employed in test implementation. Response surface coefficients reported for the finite-sample distribution of the test with lag optimization are therefore useful tools for practitioners in applied research. The simulation evidence and practical use of the response surface coefficients are substantiated with empirical illustrations.

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  • Pui Sun Tam, 2013. "Finite-sample distribution of the augmented Dickey--Fuller test with lag optimization," Applied Economics, Taylor & Francis Journals, vol. 45(24), pages 3495-3511, August.
    • Handle: RePEc:taf:applec:v:45:y:2013:i:24:p:3495-3511
    DOI: 10.1080/00036846.2012.724159
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    1. Pedroni, Peter & Yao, James Yudong, 2006. "Regional income divergence in China," Journal of Asian Economics, Elsevier, vol. 17(2), pages 294-315, April.
    2. Adda, Jerome & Gonzalo, Jesus, 1996. "P-Values for non-standard distributions with an application to the DF test," Economics Letters, Elsevier, vol. 50(2), pages 155-160, February.
    3. Harvey, David I. & van Dijk, Dick, 2006. "Sample size, lag order and critical values of seasonal unit root tests," Computational Statistics & Data Analysis, Elsevier, vol. 50(10), pages 2734-2751, June.
    4. Cheung, Yin-Wong & Lai, Kon S, 1995. "Lag Order and Critical Values of the Augmented Dickey-Fuller Test," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(3), pages 277-280, July.
    5. Im, Kyung So & Pesaran, M. Hashem & Shin, Yongcheol, 2003. "Testing for unit roots in heterogeneous panels," Journal of Econometrics, Elsevier, vol. 115(1), pages 53-74, July.
    6. repec:bla:obuest:v:61:y:1999:i:0:p:631-52 is not listed on IDEAS
    7. Leon-Ledesma, Miguel A, 2002. "Unemployment Hysteresis in the US States and the EU: A Panel Approach," Bulletin of Economic Research, Wiley Blackwell, vol. 54(2), pages 95-103, April.
    8. Vogelsang, Timothy J & Perron, Pierre, 1998. "Additional Tests for a Unit Root Allowing for a Break in the Trend Function at an Unknown Time," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 1073-1100, November.
    9. Evan Lau & Ahmad Zubaidi Baharumshah, 2009. "Assessing the mean reversion behaviour of fiscal policy: the perspective of Asian countries," Applied Economics, Taylor & Francis Journals, vol. 41(15), pages 1939-1949.
    10. Lothian, James R. & Taylor, Mark P., 1997. "Real exchange rate behavior," Journal of International Money and Finance, Elsevier, vol. 16(6), pages 945-954, December.
    11. MacKinnon, James G, 1996. "Numerical Distribution Functions for Unit Root and Cointegration Tests," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(6), pages 601-618, Nov.-Dec..
    12. Hall, Alastair R, 1994. "Testing for a Unit Root in Time Series with Pretest Data-Based Model Selection," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(4), pages 461-470, October.
    13. MacKinnon, James G, 1994. "Approximate Asymptotic Distribution Functions for Unit-Root and Cointegration Tests," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(2), pages 167-176, April.
    14. Perron, Pierre, 1997. "Further evidence on breaking trend functions in macroeconomic variables," Journal of Econometrics, Elsevier, vol. 80(2), pages 355-385, October.
    15. Dickey, David A & Fuller, Wayne A, 1981. "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root," Econometrica, Econometric Society, vol. 49(4), pages 1057-1072, June.
    16. DeJong, David N. & Nankervis, John C. & Savin, N. E. & Whiteman, Charles H., 1992. "The power problems of unit root test in time series with autoregressive errors," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 323-343.
    17. Banerjee, Anindya & Carrion-i-Silvestre, Josep Lluís, 2006. "Cointegration in panel data with breaks and cross-section dependence," Working Paper Series 591, European Central Bank.
    18. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November.
    19. G. MacDonald & D. Allen & S. Cruickshank, 2002. "Purchasing Power Parity-evidence from a new panel test," Applied Economics, Taylor & Francis Journals, vol. 34(11), pages 1319-1324.
    20. MacKinnon, James G. & White, Halbert, 1985. "Some heteroskedasticity-consistent covariance matrix estimators with improved finite sample properties," Journal of Econometrics, Elsevier, vol. 29(3), pages 305-325, September.
    21. Cook, Steven & Manning, Neil, 2004. "Lag optimisation and finite-sample size distortion of unit root tests," Economics Letters, Elsevier, vol. 84(2), pages 267-274, August.
    22. Mita Bhattacharya & Paresh Kumar Narayan, 2005. "Testing for the random walk hypothesis in the case of visitor arrivals: evidence from Indian tourism," Applied Economics, Taylor & Francis Journals, vol. 37(13), pages 1485-1490.
    23. G. S. Maddala & Shaowen Wu, 1999. "A Comparative Study of Unit Root Tests with Panel Data and a New Simple Test," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(S1), pages 631-652, November.
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    1. Gu, Xinhua & Tam, Pui Sun & Li, Guoqiang & Zhao, Qingbin, 2020. "An alternative explanation for high saving in China: Rising inequality," International Review of Economics & Finance, Elsevier, vol. 69(C), pages 1082-1094.

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