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Deterministic Seasonality in Dickey-Fuller Tests: Should We Care?

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Author Info
Artur C. B. da Silva Lopes (ISEG-UTL & CEMAPRE)

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Abstract

This paper investigates the properties of Dickey-Fuller tests for seasonally unadjusted quarterly data when deterministic seasonality is present but it is neglected in the test regression. While for the random walk case the answer is straightforward, an extensive Monte Carlo study has to be performed for more realistic processes and testing strategies. The most important conclusion is that the common perception that deterministic seasonality has nothing to do with the long-run properties of the data is incorrect. Further numerical evidence on the shortcomings of the general-to-specific t-sig lag selection method is also presented.

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Paper provided by EconWPA in its series Econometrics with number 0402007.

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Length: 22 pages
Date of creation: 14 Feb 2004
Date of revision: 18 Mar 2004
Handle: RePEc:wpa:wuwpem:0402007

Note: Type of Document - pdf; prepared on Win98; pages: 22. version 2.0
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Related research
Keywords: unit root; Dickey-Fuller tests; similar tests; seasonality; Monte Carlo;

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Find related papers by JEL classification:
C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions
C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation and Testing

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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    Other versions:
  2. Rodrigues, Paulo M. M., 2000. "A note on the application of the DF test to seasonal data," Statistics & Probability Letters, Elsevier, vol. 47(2), pages 171-175, April. [Downloadable!] (restricted)
  3. John Y. Campbell & Pierre Perron, 1991. "Pitfalls and Opportunities: What Macroeconomists Should Know About Unit Roots," NBER Chapters, in: NBER Macroeconomics Annual 1991, Volume 6, pages 141-220 National Bureau of Economic Research, Inc. [Downloadable!]
    Other versions:
  4. Ng, S. & Perron, P., 1994. "Unit Root Tests ARMA Models with Data Dependent Methods for the Selection of the Truncation Lag," Cahiers de recherche 9423, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    Other versions:
  5. Jeffrey A. Miron, 1990. "The Economics of Seasonal Cycles," NBER Working Papers 3522, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  6. James MacKinnon, 1990. "Critical Values for Cointegration Tests," University of California at San Diego, Economics Working Paper Series 90-4, Department of Economics, UC San Diego. [Downloadable!]
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    Other versions:
  9. Kiviet, Jan F & Phillips, Garry D A, 1992. "Exact Similar Tests for Unit Roots and Cointegration," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 349-67, August.
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    Other versions:
  11. Francisco J. MartÎn-âlvarez & Victor J. Cano-FernÂndez & JosÊ J. CÂceres-HernÂndez, 1999. "The introduction of seasonal unit roots and cointegration to test index aggregation optimality: An application to a Spanish farm price index," Empirical Economics, Springer, vol. 24(3), pages 403-414. [Downloadable!] (restricted)
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    Other versions:
  13. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-36, July. [Downloadable!] (restricted)
    Other versions:
  14. 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. [Downloadable!] (restricted)
    Other versions:
  15. Franses, Philip Hans & Haldrup, Niels, 1994. "The Effects of Additive Outliers on Tests for Unit Roots and Cointegration," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(4), pages 471-78, October.
    Other versions:
  16. Pantula, Sastry G, 1991. "Asymptotic Distributions of Unit-Root Tests When the Process Is Nearly Stationary," Journal of Business & Economic Statistics, American Statistical Association, vol. 9(1), pages 63-71, January.
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    Other versions:
  18. Lim, Christine & McAleer, Michael, 2000. "A Seasonal Analysis of Asian Tourist Arrivals to Australia," Applied Economics, Taylor and Francis Journals, vol. 32(4), pages 499-509, March. [Downloadable!] (restricted)
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  20. Artur C. B. da Silva Lopes, 1999. "Spurious deterministic seasonality and autocorrelation corrections with quarterly data: Further Monte Carlo results," Empirical Economics, Springer, vol. 24(2), pages 341-359. [Downloadable!] (restricted)
  21. Paulo M. M. Rodrigues, Denise R. Osborn, 1999. "Performance of seasonal unit root tests for monthly data," Journal of Applied Statistics, Taylor and Francis Journals, vol. 26(8), pages 985-1004, December. [Downloadable!] (restricted)
  22. Franses, Philip Hans & Hylleberg, Svend & Lee, Hahn S., 1995. "Spurious deterministic seasonality," Economics Letters, Elsevier, vol. 48(3-4), pages 249-256, June. [Downloadable!] (restricted)
  23. Ghysels, Eric & Perron, Pierre, 1993. "The effect of seasonal adjustment filters on tests for a unit root," Journal of Econometrics, Elsevier, vol. 55(1-2), pages 57-98. [Downloadable!] (restricted)
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  24. Ghysels, Eric, 1990. "Unit-Root Tests and the Statistical Pitfalls of Seasonal Adjustment: The Case of U.S. Postwar Real Gross National Product," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(2), pages 145-52, April.
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    Other versions:
  26. 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 461-70, October.
Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. B. da Silva Lopes, Artur C., 2005. "Finite sample effects of pure seasonal mean shifts on Dickey-Fuller tests," MPRA Paper 125, University Library of Munich, Germany, revised May 2006. [Downloadable!]
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