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On the (Mis)Specification of Seasonality and Its Consequences: An Empirical Investigation with U.S. Data

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  • Ghysels, Eric
  • Lee, Hahn S
  • Siklos, Pierre L

Abstract

It is well known that mis-specification of a trend leads to spurious cycles in detrended data (see, e.g., Nelson and Kang (1981). Seasonal-adjustment procedures make assumptions, either implicitly or explicitly, about roots on the unit circle both at the zero and seasonal frequencies. Consequently, seasonal-adjustment procedures may produce spurious seasonal variation and other statistically undesirable effects. In this paper we document, for a large class of widely used U.S. quarterly macroeconomic series, the effects of competing seasonal-adjustment procedures on the univariate time-series properties of the adjusted series. We also investigate which procedures are most appropriate given the properties of the data. Overall, we find very significant differences and evidence that several U.S. macroeconomic time series contain a mixture of deterministic and stochastic seasonal components.

Suggested Citation

  • Ghysels, Eric & Lee, Hahn S & Siklos, Pierre L, 1993. "On the (Mis)Specification of Seasonality and Its Consequences: An Empirical Investigation with U.S. Data," Empirical Economics, Springer, vol. 18(4), pages 747-760.
  • Handle: RePEc:spr:empeco:v:18:y:1993:i:4:p:747-60
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    References listed on IDEAS

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    1. Nelson, Charles R & Kang, Heejoon, 1981. "Spurious Periodicity in Inappropriately Detrended Time Series," Econometrica, Econometric Society, vol. 49(3), pages 741-751, May.
    2. Sims, Cristopher A, 1985. "Comment on "Issues Involved with the Seasonal Adjustment of Economic Time Series."," Journal of Business & Economic Statistics, American Statistical Association, vol. 3(1), pages 92-94, January.
    3. Barsky, Robert B & Miron, Jeffrey A, 1989. "The Seasonal Cycle and the Business Cycle," Journal of Political Economy, University of Chicago Press, vol. 97(3), pages 503-534, June.
    4. Nerlove, Marc & Grether, David M. & Carvalho, José L., 1979. "Analysis of Economic Time Series," Elsevier Monographs, Elsevier, edition 1, number 9780125157506 edited by Shell, Karl.
    5. Ramey, Valerie A, 1989. "Inventories as Factors of Production and Economic Fluctuations," American Economic Review, American Economic Association, vol. 79(3), pages 338-354, June.
    6. Canova, Fabio & Ghysels, Eric, 1994. "Changes in seasonal patterns : Are they cyclical?," Journal of Economic Dynamics and Control, Elsevier, vol. 18(6), pages 1143-1171, November.
    7. 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.
    8. Osborn, Denise R., 1990. "A survey of seasonality in UK macroeconomic variables," International Journal of Forecasting, Elsevier, vol. 6(3), pages 327-336, October.
    9. Bell, William R & Hillmer, Steven C, 1984. "Issues Involved with the Seasonal Adjustment of Economic Time Series," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 291-320, October.
    10. 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.
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    Cited by:

    1. Ghysels, E. & Harvey, A. & Renault, E., 1995. "Stochastic Volatility," Papers 95.400, Toulouse - GREMAQ.
    2. Shen Chung-Hua & Huang Tai-Hsin, 1999. "Money Demand and Seasonal Cointegration," International Economic Journal, Taylor & Francis Journals, vol. 13(3), pages 97-123.
    3. 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.
    4. Braun, R. Anton & Evans, Charles L., 1995. "Seasonality and equilibrium business cycle theories," Journal of Economic Dynamics and Control, Elsevier, vol. 19(3), pages 503-531, April.
    5. Chen, Nan-Kuang & Chen, Shiu-Sheng & Chou, Yu-Hsi, 2010. "House prices, collateral constraint, and the asymmetric effect on consumption," Journal of Housing Economics, Elsevier, vol. 19(1), pages 26-37, March.
    6. Hylleberg, Svend, 1995. "Tests for seasonal unit roots general to specific or specific to general?," Journal of Econometrics, Elsevier, vol. 69(1), pages 5-25, September.
    7. Hecq, Alain, 1998. "Does seasonal adjustment induce common cycles?," Economics Letters, Elsevier, vol. 59(3), pages 289-297, June.
    8. Eric Ghysels & Denise R. Osborn & Paulo M. M. Rodrigues, 1999. "Seasonal Nonstationarity and Near-Nonstationarity," CIRANO Working Papers 99s-05, CIRANO.
    9. Smith, Jeremy & Otero, Jesus, 1997. "Structural breaks and seasonal integration," Economics Letters, Elsevier, vol. 56(1), pages 13-19, September.
    10. Huang, Tai-Hsin & Shen, Chung-Hua, 1999. "Applying the seasonal error correction model to the demand for international reserves in Taiwan," Journal of International Money and Finance, Elsevier, vol. 18(1), pages 107-131, January.
    11. Eric Ghysels, 1993. "A time series model with periodic stochastic regime switching," Discussion Paper / Institute for Empirical Macroeconomics 84, Federal Reserve Bank of Minneapolis.
    12. repec:gam:jecnmx:v:5:y:2017:i:4:p:48-:d:117025 is not listed on IDEAS
    13. Albertson, Kevin & Aylen, Jonathan, 1999. "Forecasting using a periodic transfer function: with an application to the UK price of ferrous scrap," International Journal of Forecasting, Elsevier, vol. 15(4), pages 409-419, October.
    14. Alain Hecq & Sean Telg & Lenard Lieb, 2017. "Do Seasonal Adjustments Induce Noncausal Dynamics in Inflation Rates?," Econometrics, MDPI, Open Access Journal, vol. 5(4), pages 1-22, October.

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