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Unit Root Tests and the Burden of Proof

  • Robert A. Amano

    (Bank of Canada)

  • Simon van Norden

    (Bank of Canada)

Simulation evidence is presented on the finite sample properties of two tests for stationarity recently proposed by Kwiatkowski, Phillips and Schmidt (1991) and Park (1990). Unlike earlier unit-root tests, these test the null of stationarity against the alternative of a unit root, thereby reversing the usual burden of proof. We also examine the consequenes of using the Kwiatkowski, Phillips and Schmidt test in conjuction with a standard unit-root test. These results suggest that the frequency of incorrect conclusions may be decreased relative to the application of only standard unit-root tests. Also, such a joint testing procedure may in some cases permit researchers to be more confident about their tests' results.

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Paper provided by EconWPA in its series Econometrics with number 9502005.

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Length: 20 pages
Date of creation: 08 Feb 1995
Date of revision:
Handle: RePEc:wpa:wuwpem:9502005
Note: 20 pages, Postscript, includes tables. File compressed in a single Info-zip archive, then uuencoded.
Contact details of provider: Web page: http://econwpa.repec.org

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  1. Donald W.K. Andrews & Christopher J. Monahan, 1990. "An Improved Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimator," Cowles Foundation Discussion Papers 942, Cowles Foundation for Research in Economics, Yale University.
  2. Newey, Whitney K & West, Kenneth D, 1987. "A Simple, Positive Semi-definite, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix," Econometrica, Econometric Society, vol. 55(3), pages 703-08, May.
  3. Peter C.B. Phillips, 1991. "Bayesian Routes and Unit Roots: de rebus prioribus semper est disputandum," Cowles Foundation Discussion Papers 986, Cowles Foundation for Research in Economics, Yale University.
  4. Rose, Andrew Kenan, 1988. " Is the Real Interest Rate Stable?," Journal of Finance, American Finance Association, vol. 43(5), pages 1095-1112, December.
  5. Schwert, G. William, 1987. "Effects of model specification on tests for unit roots in macroeconomic data," Journal of Monetary Economics, Elsevier, vol. 20(1), pages 73-103, July.
  6. John Y. Campbell & Pierre Perron, 1991. "Pitfalls and Opportunities: What Macroeconomists Should Know About Unit Roots," NBER Chapters, in: NBER Macroeconomics Annual 1991, Volume 6, pages 141-220 National Bureau of Economic Research, Inc.
  7. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
  8. Craig S. Hakkio & Mark Rush, 1990. "Cointegration: how short is the long run?," Research Working Paper 90-08, Federal Reserve Bank of Kansas City.
  9. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-58, May.
  10. G. William Schwert, 1988. "Tests For Unit Roots: A Monte Carlo Investigation," NBER Technical Working Papers 0073, National Bureau of Economic Research, Inc.
  11. Han, H.L. & Ogaki, M., 1991. "A Consistent Test for the Null of Stationarity Against the Alternative of Unit Root," RCER Working Papers 304, University of Rochester - Center for Economic Research (RCER).
  12. Peter C.B. Phillips & Pierre Perron, 1986. "Testing for a Unit Root in Time Series Regression," Cowles Foundation Discussion Papers 795R, Cowles Foundation for Research in Economics, Yale University, revised Sep 1987.
  13. Peter C.B. Phillips, 1990. "To Criticize the Critics: An Objective Bayesian Analysis of Stochastic Trends," Cowles Foundation Discussion Papers 950, Cowles Foundation for Research in Economics, Yale University.
  14. DeJong, David N, et al, 1992. "Integration versus Trend Stationarity in Time Series," Econometrica, Econometric Society, vol. 60(2), pages 423-33, March.
  15. Nelson, Charles R. & Plosser, Charles I., 1982. "Trends and random walks in macroeconmic time series : Some evidence and implications," Journal of Monetary Economics, Elsevier, vol. 10(2), pages 139-162.
  16. Diba, Behzad T & Grossman, Herschel I, 1988. "Explosive Rational Bubbles in Stock Prices?," American Economic Review, American Economic Association, vol. 78(3), pages 520-30, June.
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