On the (Mis)Specification of Seasonality and Its Consequences: An Empirical Investigation With U.S. Data
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.
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"The Seasonal Cycle and the Business Cycle,"
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- Nelson, Charles R & Kang, Heejoon, 1981.
"Spurious Periodicity in Inappropriately Detrended Time Series,"
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- Canova, F. & Ghysels, E., 1992.
"Changes in Seasonal Patters: Are They Cyclical,"
Cahiers de recherche
9216, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
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- 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.
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- 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.
- 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.
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