Polynomial Regressions and Nonsense Inference
Polynomial specifications are widely used, not only in applied economics, but also in epidemiology, physics, political analysis, and psychology, just to mention a few examples. In many cases, the data employed to estimate such estimations are time series that may exhibit stochastic nonstationary behavior. We extend Phillips’ (1986) results by proving an inference drawn from polynomial specifications, under stochastic nonstationarity, is misleading unless the variables cointegrate. We use a generalized polynomial specification as a vehicle to study its asymptotic and finite-sample properties. Our results, therefore, lead to a call to be cautious whenever practitioners estimate polynomial regressions.
|Length:||16 Daniel Ventosa-Santaulària and Carlos Vladimir Rodríguez-Caballero|
|Date of creation:||11 2013|
|Date of revision:|
|Contact details of provider:|| Web page: http://www.econ.au.dk/afn/|
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- Maximilian Auffhammer & Ryan Kellogg, 2011. "Clearing the Air? The Effects of Gasoline Content Regulation on Air Quality," American Economic Review, American Economic Association, vol. 101(6), pages 2687-2722, October.
- Lee, Young-Sook & Kim, Tae-Hwan & Newbold, Paul, 2005.
"Spurious nonlinear regressions in econometrics,"
Elsevier, vol. 87(3), pages 301-306, June.
- 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.
- Zsolt Darvas, 2008.
"Estimation Bias and Inference in Overlapping Autoregressions: Implications for the Target-Zone Literature,"
Oxford Bulletin of Economics and Statistics,
Department of Economics, University of Oxford, vol. 70(1), pages 1-22, 02.
- Zsolt Darvas, 2007. "Estimation Bias and Inference in Overlapping Autoregressions: Implications for the Target Zone Literature," Working Papers 0701, Department of Mathematical Economics and Economic Analysis, Corvinus University of Budapest.
- Kellenberg, Derek, 2012. "Trading wastes," Journal of Environmental Economics and Management, Elsevier, vol. 64(1), pages 68-87.
- Leonardi, Marco & Pica, Giovanni, 2010.
"Who Pays for It? The Heterogeneous Wage Effects of Employment Protection Legislation,"
IZA Discussion Papers
5335, Institute for the Study of Labor (IZA).
- Marco Leonardi & Giovanni Pica, 2013. "Who Pays for it? The Heterogeneous Wage Effects of Employment Protection Legislation," Economic Journal, Royal Economic Society, vol. 123(12), pages 1236-1278, December.
- Marco Leonardi & Giovanni Pica, 2007. "Employment Protection Legislation and Wages," CSEF Working Papers 175, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
- Marco Leonardi & Giovanni Pica, 2010. "Who Pays for it? The Heterogeneous Wage Effects of Employment Protection Legislation," CSEF Working Papers 265, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy, revised 13 May 2012.
- Marco Leonardi & Giovanni Pica, 2012. "Who pays for it? The Heterogeneous Wage Effects of Employment Protection Legislation," Working Papers 436, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
- Christos Ioannidis & David A. Peel & Michael J. Peel, 2003. "The Time Series Properties of Financial Ratios: Lev Revisited," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 30(5-6), pages 699-714.
- Wagner, Martin, 2012. "The Phillips unit root tests for polynomials of integrated processes," Economics Letters, Elsevier, vol. 114(3), pages 299-303.
- de Jong, Robert M., 2003. "Logarithmic spurious regressions," Economics Letters, Elsevier, vol. 81(1), pages 13-21, October.
- Román Ferrer & Cristóbal González & Gloria M. Soto, 2010. "Linear and nonlinear interest rate exposure in Spain," Managerial Finance, Emerald Group Publishing, vol. 36(5), pages 431-451, May.
- Labson B. Stephen & Crompton Paul L., 1993. "Common Trends in Economic Activity and Metals Demand: Cointegration and the Intensity of Use Debate," Journal of Environmental Economics and Management, Elsevier, vol. 25(2), pages 147-161, September.
- Pena, Daniel & Rodriguez, Julio, 2005. "Detecting nonlinearity in time series by model selection criteria," International Journal of Forecasting, Elsevier, vol. 21(4), pages 731-748.
- Granger, C. W. J. & Newbold, P., 1974. "Spurious regressions in econometrics," Journal of Econometrics, Elsevier, vol. 2(2), pages 111-120, July.
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