IDEAS home Printed from https://ideas.repec.org/a/tsj/stataj/v9y2009i3p422-438.html
   My bibliography  Save this article

A seasonal unit-root test with Stata

Author

Listed:
  • Domenico Depalo

    (Bank of Italy)

Abstract

Many economic time series exhibit important systematic fluctuations within the year, i.e., seasonality. In contrast to usual practice, I argue that using original data should always be considered, although the process is more compli- cated than that of using seasonally adjusted data. Motivations to use unadjusted data come from the information contained in their peaks and troughs and from economic theory. One major complication is the possible unit root at seasonal frequencies. In this article, I tackle the issue of implementing a test to identify the source of seasonality. In particular, I follow Hylleberg et al. (1990, Journal of Econometrics 44: 215–238) for quarterly data. Copyright 2009 by StataCorp LP.

Suggested Citation

  • Domenico Depalo, 2009. "A seasonal unit-root test with Stata," Stata Journal, StataCorp LP, vol. 9(3), pages 422-438, September.
  • Handle: RePEc:tsj:stataj:v:9:y:2009:i:3:p:422-438
    as

    Download full text from publisher

    File URL: http://www.stata-journal.com/article.html?article=st0172
    File Function: link to article download
    Download Restriction: no

    File URL: http://www.stata-journal.com/software/sj9-3/st0172/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Lee, Lung-fei, 1995. "Semiparametric maximum likelihood estimation of polychotomous and sequential choice models," Journal of Econometrics, Elsevier, vol. 65(2), pages 381-428, February.
    2. Engle, R. F. & Granger, C. W. J. & Hylleberg, S. & Lee, H. S., 1993. "The Japanese consumption function," Journal of Econometrics, Elsevier, vol. 55(1-2), pages 275-298.
    3. Hylleberg, S. & Engle, R. F. & Granger, C. W. J. & Yoo, B. S., 1990. "Seasonal integration and cointegration," Journal of Econometrics, Elsevier, vol. 44(1-2), pages 215-238.
    4. Osborn, Denise R, 1988. "Seasonality and Habit Persistence in a Life Cycle Model of Consumptio n," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 3(4), pages 255-266, October-D.
    5. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    6. Miron, Jeffrey A, 1986. "Seasonal Fluctuations and the Life Cycle-Permanent Income Model of Consumption," Journal of Political Economy, University of Chicago Press, vol. 94(6), pages 1258-1279, December.
    7. Gianluca Cubadda, 2001. "Complex Reduced Rank Models For Seasonally Cointegrated Time Series," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 63(4), pages 497-511, September.
    8. Philip Hans Franses & Bart Hobijn, 1997. "Critical values for unit root tests in seasonal time series," Journal of Applied Statistics, Taylor & Francis Journals, vol. 24(1), pages 25-48.
    9. Ghysels, Eric & Lee, Hahn S. & Noh, Jaesum, 1994. "Testing for unit roots in seasonal time series : Some theoretical extensions and a Monte Carlo investigation," Journal of Econometrics, Elsevier, vol. 62(2), pages 415-442, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Randjelovic, Sasa, 2013. "Effects of income tax on personal savings: econometric evidence from Serbia," EUROMOD Working Papers EM1/13, EUROMOD at the Institute for Social and Economic Research.
    2. Hooi Hooi Lean & Vinod Mishra & Russell Smyth, 2016. "Conditional convergence in US disaggregated petroleum consumption at the sector level," Applied Economics, Taylor & Francis Journals, vol. 48(32), pages 3049-3061, July.
    3. Silva, Andres & Dharmasena, Senarath, 2013. "Modeling Seasonal Unit Roots as a Simple Empirical Method to Handle Autocorrelation in Demand Systems: Evidence from UK Expenditure Data," 2013 Annual Meeting, August 4-6, 2013, Washington, D.C. 149928, Agricultural and Applied Economics Association.
    4. Moayedi, Vafa, 2012. "Detecting Islamic Calendar Effects on U.S. Meat Consumption: Is the Muslim Population Larger than Widely Assumed?," MPRA Paper 41554, University Library of Munich, Germany.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Pami Dua & Lokendra Kumawat, 2005. "Modelling and Forecasting Seasonality in Indian Macroeconomic Time Series," Working papers 136, Centre for Development Economics, Delhi School of Economics.
    2. Svend Hylleberg, 2006. "Seasonal Adjustment," Economics Working Papers 2006-04, Department of Economics and Business Economics, Aarhus University.
    3. Frank Reinhardt & David Giles, 2001. "Are cigarette bans really good economic policy?," Applied Economics, Taylor & Francis Journals, vol. 33(11), pages 1365-1368.
    4. Smith, Jeremy & Otero, Jesus, 1997. "Structural breaks and seasonal integration," Economics Letters, Elsevier, vol. 56(1), pages 13-19, September.
    5. Granger, C. W. J. & Siklos, Pierre L., 1995. "Systematic sampling, temporal aggregation, seasonal adjustment, and cointegration theory and evidence," Journal of Econometrics, Elsevier, vol. 66(1-2), pages 357-369.
    6. Franses,Philip Hans & Dijk,Dick van & Opschoor,Anne, 2014. "Time Series Models for Business and Economic Forecasting," Cambridge Books, Cambridge University Press, number 9780521520911, September.
    7. John D. Levendis, 2018. "Time Series Econometrics," Springer Texts in Business and Economics, Springer, number 978-3-319-98282-3, June.
    8. Gil-Alana, L.A., 2008. "Testing of seasonal integration and cointegration with fractionally integrated techniques: An application to the Danish labour demand," Economic Modelling, Elsevier, vol. 25(2), pages 326-339, March.
    9. Franses, Philip Hans & Paap, Richard, 1995. "Moving average filters and periodic integration," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 39(3), pages 245-249.
    10. Beenstock, Michael & Reingewertz, Yaniv & Paldor, Nathan, 2016. "Testing the historic tracking of climate models," International Journal of Forecasting, Elsevier, vol. 32(4), pages 1234-1246.
    11. Younes Ben Zaied & Marie Estelle Binet, 2015. "Modelling seasonality in residential water demand: the case of Tunisia," Applied Economics, Taylor & Francis Journals, vol. 47(19), pages 1983-1996, April.
    12. Hernán Rincón, 1999. "Testing the Short-Long-Run Exchange Rate Effects on Trade Balance: The Case of Colombia," Borradores de Economia 120, Banco de la Republica de Colombia.
    13. Lof, Marten & Hans Franses, Philip, 2001. "On forecasting cointegrated seasonal time series," International Journal of Forecasting, Elsevier, vol. 17(4), pages 607-621.
    14. Philip Hans Franses & Robert M. Kunst, 1999. "On the Role of Seasonal Intercepts in Seasonal Cointegration," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(3), pages 409-433, August.
    15. Luis A. Gil-Alana & Juncal Cunado & Fernando Perez de Gracia, 2008. "Tourism in the Canary Islands: forecasting using several seasonal time series models," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 27(7), pages 621-636.
    16. Gianluca Cubadda, 2001. "Common Features In Time Series With Both Deterministic And Stochastic Seasonality," Econometric Reviews, Taylor & Francis Journals, vol. 20(2), pages 201-216.
    17. Smith, Richard J. & Taylor, A.M. Robert & del Barrio Castro, Tomas, 2009. "Regression-Based Seasonal Unit Root Tests," Econometric Theory, Cambridge University Press, vol. 25(2), pages 527-560, April.
    18. Mårten Löf & Johan Lyhagen, 2003. "On seasonal error correction when the processes include different numbers of unit roots," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 22(5), pages 377-389.
    19. Wang, Zijun & Bessler, David A, 2002. "The Homogeneity Restriction and Forecasting Performance of VAR-Type Demand Systems: An Empirical Examination of US Meat Consumption," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 21(3), pages 193-206, April.
    20. Rotger, Gabriel Pons, "undated". "Testing for Seasonal Unit Roots with Temporally Aggregated Time Series," Economics Working Papers 2003-16, Department of Economics and Business Economics, Aarhus University.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:tsj:stataj:v:9:y:2009:i:3:p:422-438. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Christopher F. Baum or Lisa Gilmore (email available below). General contact details of provider: http://www.stata-journal.com/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.