Is Seasonal Adjustment a Linear or Nonlinear Data-Filtering Process?

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Is Seasonal Adjustment a Linear or Nonlinear Data-Filtering Process?

Author Info

Ghysels, Eric
Granger, Clive W J
Siklos, Pierre L

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Abstract

The authors investigate whether seasonal adjustment procedures are linear data transformations. This question was addressed by A. H. Young (1968) and is important for the estimation of regression models with seasonally adjustment data. The authors focus on the X-11 program and rely on simulation evidence, involving linear unobserved component autorgressive integrated moving average models. They define and test a set of properties for the adequacy of a linear approximation to a seasonal adjustment filter. Next, the authors study the effect of X-11 on regression statistics assessing the statistical significance between economic variables. Several empirical results involving economic data are also reported.

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Publisher Info
Article provided by American Statistical Association in its journal Journal of Business and Economic Statistics.

Volume (Year): 14 (1996)
Issue (Month): 3 (July)
Pages: 374-86
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Handle: RePEc:bes:jnlbes:v:14:y:1996:i:3:p:374-86

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Paper
- Ghysels, E. & Granger, C.W.J. & Siklos, P.L., 1995. "Is Seasonal Adjustment a Linear or Nonlinear Data Filtring Process," Cahiers de recherche 9517, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
- Eric Ghysels & Clive W.J. Granger & Pierre L. Siklos, 1995. "Is Seasonal Adjustment a Linear or Nonlinear Data Filtering Process?," CIRANO Working Papers 95s-19, CIRANO. [Downloadable!]
- Ghysels, E. & Granger, C.W.J. & Siklos, P.L., 1995. "Is Seasonal Adjustment a Linear or Nonlinear Data Filtring Process," Cahiers de recherche 9517, Centre interuniversitaire de recherche en économie quantitative, CIREQ.

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.:

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.
Other versions:
- Vogelsang, T.J. & Perron, P., 1994. "Additional Tests for a Unit Root Allowing for a Break in the Trend Function at an Unknown Time," Cahiers de recherche 9422, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
- Vogelsang, T.J. & Perron, P., 1994. "Additional Tests for a Unit Root Allowing for a Break in the Trend Function at an Unknown Time," Cahiers de recherche 9422, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
Ghysels, E., 1993. "Seasonal Adjustment and Other Data Transformations," Cahiers de recherche 9322, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
Other versions:
- Ghysels, Eric, 1997. "Seasonal Adjustment and Other Data Transformations," Journal of Business & Economic Statistics, American Statistical Association, vol. 15(4), pages 410-18, October.
Neil R. Ericsson & David F. Hendry & Hong-Anh Tran, 1993. "Cointegration, seasonality, encompassing, and the demand for money in the United Kingdom," International Finance Discussion Papers 457, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
Burridge, Peter & Wallis, Kenneth F, 1984. "Unobserved-Components Models for Seasonal Adjustment Filters," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 350-59, October.
Other versions:
- Burridge, Peter & Wallis, Kenneth F, 1983. "Unobserved-Components Models for Seasonal Adjustment Filters," The Warwick Economics Research Paper Series (TWERPS) 244, University of Warwick, Department of Economics.
Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-80, November. [Downloadable!] (restricted)
Maravall, Agustin, 1988. "A note on minimum mean squared error estimation of signals with unit roots," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 589-593. [Downloadable!] (restricted)
Engle, Robert F & Granger, Clive W J, 1987. "Co-integration and Error Correction: Representation, Estimation, and Testing," Econometrica, Econometric Society, vol. 55(2), pages 251-76, March. [Downloadable!] (restricted)
Peter Burridge & Kenneth Wallis, 1988. "Prediction theory for autoregressivemoving average processes," Econometric Reviews, Taylor and Francis Journals, vol. 7(1), pages 65-95. [Downloadable!] (restricted)
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)
Other versions:
- Ghysels, E. & Perron, P., 1990. "The Effect Of Seasonal Adjustment Filters On Tests For A Unit Root," Papers 355, Princeton, Department of Economics - Econometric Research Program.
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.
repec:att:wimass:199520 is not listed on IDEAS
Grether, D M & Nerlove, M, 1970. "Some Properties of 'Optimal' Seasonal Adjustment," Econometrica, Econometric Society, vol. 38(5), pages 682-703, September. [Downloadable!] (restricted)
Other versions:
- David M. Grether & Marc Nerlove, 1968. "Some Properties of 'Optimal' Seasonal Adjustment," Cowles Foundation Discussion Papers 261, Cowles Foundation, Yale University. [Downloadable!]
Marcel Boyer & Jean-Jacques Laffont, 1994. "Environmental Risks and Bank Liability," CIRANO Working Papers 94s-22, CIRANO. [Downloadable!]
Other versions:
- Boyer, M. & Laffont, J.J., 1995. "Environmental Risks and Bank Liability," Cahiers de recherche 9501, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- Boyer, M. & Laffont, J.J., 1995. "Environmental Risks and Bank Liability," Cahiers de recherche 9501, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
- Boyer, Marcel & Laffont, Jean-Jacques, 1994. "Environmental Risks and Bank Liability," IDEI Working Papers 45, Institut d'Économie Industrielle (IDEI), Toulouse.
- Boyer, Marcel & Laffont, Jean-Jacques, 1997. "Environmental risks and bank liability," European Economic Review, Elsevier, vol. 41(8), pages 1427-1459, August. [Downloadable!] (restricted)
Sargent, Thomas J, 1989. "Two Models of Measurements and the Investment Accelerator," Journal of Political Economy, University of Chicago Press, vol. 97(2), pages 251-87, April. [Downloadable!] (restricted)
Ghysels, E. & Lieberman, O., 1993. "Dynamic Regression and Filtered Data Series: A Laplace Approximation to the Effects of Filtering in Small Samples," Cahiers de recherche 9335, Centre interuniversitaire de recherche en économie quantitative, CIREQ.

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.)

Cubadda, Gianluca & Omtzigt, Pieter, 2003. "Small Sample Improvements in the Statistical Analysis of Seasonally Cointegrated Systems," Economics & Statistics Discussion Papers esdp03012, University of Molise, Dept. SEGeS. [Downloadable!]
Other versions:
- Cubadda, Gianluca & Omtzigt, Pieter, 2005. "Small-sample improvements in the statistical analysis of seasonally cointegrated systems," Computational Statistics & Data Analysis, Elsevier, vol. 49(2), pages 333-348, April. [Downloadable!] (restricted)
Philip Kostov & John Lingard, 2005. "Seasonally specific model analysis of UK cereals prices," Econometrics 0507014, EconWPA. [Downloadable!]
James H. Stock & Mark W. Watson, 1998. "A Comparison of Linear and Nonlinear Univariate Models for Forecasting Macroeconomic Time Series," NBER Working Papers 6607, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
Lawrence J. Christiano & Richard M. Todd, 2000. "The Conventional Treatment of Seasonality in Business Cycle Analysis: Does it Create Distortions?," NBER Technical Working Papers 0266, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
R. Tschernig, . "Nonlinearities in German Unemployment Rates: A Nonparametric Analysis," Sonderforschungsbereich 373 1996-45, Humboldt Universitaet Berlin.
Antonio Matas Mir & Denise R Osborn, 2004. "Seasonal adjustment and the detection of business cycle phases," Working Paper Series 357, European Central Bank. [Downloadable!]
Other versions:
- A Matas-Mir & D R Osborn, 2003. "Seasonal Adjustment and the Detection of Business Cycle Phases," Centre for Growth and Business Cycle Research Discussion Paper Series 26, Economics, The Univeristy of Manchester. [Downloadable!]
- A Matas-Mir & D R Osborn, 2003. "Seasonal Adjustment and the Detection of Business Cycle Phases," The School of Economics Discussion Paper Series 0304, Economics, The University of Manchester. [Downloadable!]
Gianluca Cubadda, 2001. "Common Features In Time Series With Both Deterministic And Stochastic Seasonality," Econometric Reviews, Taylor and Francis Journals, vol. 20(2), pages 201-216. [Downloadable!] (restricted)
Zacharias Psaradakis & Martin Sola, 2003. "On detrending and cyclical asymmetry," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(3), pages 271-289. [Downloadable!]
Other versions:
- Martin Sola & Zacharias Psaradakis, 2002. "On Detrending and Cyclical Asymmetry," Department of Economics Working Papers 020, Universidad Torcuato Di Tella. [Downloadable!]
Antonio Matas-Mir & Denise R. Osborn & Marco J. Lombardi, 2008. "The effect of seasonal adjustment on the properties of business cycle regimes," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(2), pages 257-278. [Downloadable!]
Other versions:
- Antonio Matas-Mir & Denise R. Osborn & Marco Lombardi, 2005. "The Effect of Seasonal Adjustment on the Properties of Business Cycle Regimes," Econometrics Working Papers Archive wp2005_15, Universita' degli Studi di Firenze, Dipartimento di Statistica "G. Parenti". [Downloadable!]
Eric Ghysels & Clive W.J. Granger & Pierre L. Siklos, 1997. "Seasonal Adjustment and Volatility Dynamics," CIRANO Working Papers 97s-39, CIRANO. [Downloadable!]

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