Spurious Regression and Trending Variables
AbstractThis paper analyses the asymptotic and finite-sample implications of different types of non-stationary behaviour among the dependent and explanatory variables in a linear spurious regression model. We study cases when the non-stationarity in the dependent and explanatory variables is deterministic as well as stochastic. In particular, we derive the order in probability of the "t"-statistic in a spurious regression equation under a variety of empirically relevant data generation processes, and show that the spurious regression phenomenon is present in all cases when both dependent and explanatory variables behave in a non-stationary way. Simulation experiments confirm our asymptotic results. Copyright 2007 Blackwell Publishing Ltd and the Department of Economics, University of Oxford.
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Bibliographic InfoArticle provided by Department of Economics, University of Oxford in its journal Oxford Bulletin of Economics and Statistics.
Volume (Year): 69 (2007)
Issue (Month): 3 (06)
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Other versions of this item:
- Antonio E. Noriega & Daniel Ventosa-Santaularia, 2006. "Spurious Regression and Trending Variables," Department of Economics and Finance Working Papers EM200701, Universidad de Guanajuato, Department of Economics and Finance, revised Jan 2007.
- C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
- C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
- C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models &bull Diffusion Processes
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.:
- Clive Granger & Namwon Hyung & Yongil Jeon, 2001.
"Spurious regressions with stationary series,"
Taylor & Francis Journals, vol. 33(7), pages 899-904.
- Granger, Clive W.J. & Hyung, Namwon & Jeon, Yongil, 1998. "Spurious Regressions with Stationary Series," University of California at San Diego, Economics Working Paper Series qt7r3353t8, Department of Economics, UC San Diego.
- Perron, Pierre & Zhu, Xiaokang, 2005. "Structural breaks with deterministic and stochastic trends," Journal of Econometrics, Elsevier, vol. 129(1-2), pages 65-119.
- Robin L. Lumsdaine & David H. Papell, 1997.
"Multiple Trend Breaks And The Unit-Root Hypothesis,"
The Review of Economics and Statistics,
MIT Press, vol. 79(2), pages 212-218, May.
- Tom Doan, . "LPUNIT: RATS procedure to implement Lumsdaine-Papell unit root test with structural breaks," Statistical Software Components RTS00110, Boston College Department of Economics.
- Niels Haldrup, 1998. "An Econometric Analysis of I(2) Variables," Journal of Economic Surveys, Wiley Blackwell, vol. 12(5), pages 595-650, December.
- Gunter Coenen & Juan Luis Vega, 2000.
"The Demand for M3 in the Euro Area,"
Econometric Society World Congress 2000 Contributed Papers
0976, Econometric Society.
- Peter C.B. Phillips, 1985.
"Understanding Spurious Regressions in Econometrics,"
Cowles Foundation Discussion Papers
757, Cowles Foundation for Research in Economics, Yale University.
- Phillips, P.C.B., 1986. "Understanding spurious regressions in econometrics," Journal of Econometrics, Elsevier, vol. 33(3), pages 311-340, December.
- Perron, P., 1994.
"Further Evidence on Breaking Trend Functions in Macroeconomic Variables,"
Cahiers de recherche
9421, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- Perron, Pierre, 1997. "Further evidence on breaking trend functions in macroeconomic variables," Journal of Econometrics, Elsevier, vol. 80(2), pages 355-385, October.
- Perron, P., 1994. "Further Evidence on Breaking Trend Functions in Macroeconomic Variables," Cahiers de recherche 9421, Universite de Montreal, Departement de sciences economiques.
- Perron, P., 1990. "Further Evidence On Breaking Trend Functions In Macroeconomics Variables," Papers 350, Princeton, Department of Economics - Econometric Research Program.
- Daniel Ventosa-Santaularia & Antonio E. Noriega, 2005.
"Spurious regression under broken trend stationarity,"
Computing in Economics and Finance 2005
186, Society for Computational Economics.
- Antonio E. Noriega & Daniel Ventosa-Santaulària, 2006. "Spurious Regression Under Broken-Trend Stationarity," Journal of Time Series Analysis, Wiley Blackwell, vol. 27(5), pages 671-684, 09.
- Antonio E. Noriega & Daniel Ventosa-Santaularia, 2005. "Spurious regression under broken trend stationarity," Department of Economics and Finance Working Papers EM200501, Universidad de Guanajuato, Department of Economics and Finance.
- Tsay, Wen-Jen & Chung, Ching-Fan, 2000. "The spurious regression of fractionally integrated processes," Journal of Econometrics, Elsevier, vol. 96(1), pages 155-182, May.
- Perron, Pierre & Vogelsang, Timothy J, 1992.
"Nonstationarity and Level Shifts with an Application to Purchasing Power Parity,"
Journal of Business & Economic Statistics,
American Statistical Association, vol. 10(3), pages 301-20, July.
- Vogelsang, T.I. & Perron, P., 1991. "Nonstationary and Level Shifts With An Application To Purchasing Power Parity," Papers 359, Princeton, Department of Economics - Econometric Research Program.
- Peter C. B. Phillips, 1998. "New Tools for Understanding Spurious Regressions," Econometrica, Econometric Society, vol. 66(6), pages 1299-1326, November.
- Kim, Tae-Hwan & Lee, Young-Sook & Newbold, Paul, 2004. "Spurious regressions with stationary processes around linear trends," Economics Letters, Elsevier, vol. 83(2), pages 257-262, May.
- Wu, Jyh-Lin, 2000. "Mean reversion of the current account: evidence from the panel data unit-root test," Economics Letters, Elsevier, vol. 66(2), pages 215-222, February.
- Entorf, Horst, 1997. "Random walks with drifts: Nonsense regression and spurious fixed-effect estimation," Journal of Econometrics, Elsevier, vol. 80(2), pages 287-296, October.
- Marmol, Francesc, 1996. "Nonsense Regressions between Integrated Processes of Different Orders," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 58(3), pages 525-36, August.
- Noriega, Antonio E. & de Alba, Enrique, 2001. "Stationarity and structural breaks -- evidence from classical and Bayesian approaches," Economic Modelling, Elsevier, vol. 18(4), pages 503-524, December.
- Marmol, Francesc, 1998. "Spurious regression theory with nonstationary fractionally integrated processes," Journal of Econometrics, Elsevier, vol. 84(2), pages 233-250, June.
- Granger, C. W. J. & Newbold, P., 1974. "Spurious regressions in econometrics," Journal of Econometrics, Elsevier, vol. 2(2), pages 111-120, July.
- A. Scorcu, 2002.
"On the Time Stability of the Output-Capital Ratio,"
434, Dipartimento Scienze Economiche, Universita' di Bologna.
- Park, Joon Y. & Phillips, Peter C.B., 1989.
"Statistical Inference in Regressions with Integrated Processes: Part 2,"
Cambridge University Press, vol. 5(01), pages 95-131, April.
- Peter C.B. Phillips & Joon Y. Park, 1986. "Statistical Inference in Regressions with Integrated Processes: Part 2," Cowles Foundation Discussion Papers 819R, Cowles Foundation for Research in Economics, Yale University, revised Feb 1987.
- Hassler, Uwe, 1996. "Spurious regressions when stationary regressors are included," Economics Letters, Elsevier, vol. 50(1), pages 25-31, January.
- Antonio E. Noriega & Daniel Ventosa-Santaulària, 2011.
"A Simple Test for Spurious Regressions,"
2011-05, Banco de México.
- Robinson Kruse & Daniel Ventosa-Santaulària & Antonio E. Noriega, 2013. "Changes in persistence, spurious regressions and the Fisher hypothesis," CREATES Research Papers 2013-11, School of Economics and Management, University of Aarhus.
- Zhang, Lingxiang, 2013. "Partial unit root and linear spurious regression: A Monte Carlo simulation study," Economics Letters, Elsevier, vol. 118(1), pages 189-191.
- Antonio E. Noriega & Daniel Ventosa-Santaulària, 2010. "Spurious Long-Horizon Regression in Econometrics," Working Papers 2010-06, Banco de México.
- Chris Stewart, 2011. "A note on spurious significance in regressions involving I(0) and I(1) variables," Empirical Economics, Springer, vol. 41(3), pages 565-571, December.
- Gomez Zaldivar, M. & Ventosa-Santaularia, D., 2009. "Bilateral Relationship between Consumption and GDP in Mexico and the USA: A Comment," Applied Econometrics and International Development, Euro-American Association of Economic Development, vol. 9(1).
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