Computational Economics

, Volume 41, Issue 1, pp 1–9 | Cite as

Response Surface Estimates of the Cross-Sectionally Augmented IPS Tests for Panel Unit Roots

  • Jesús Otero
  • Jeremy Smith


This paper estimates response surface coefficients for a large range of quantiles of the cross-sectionally augmented IPS (CIPS) test of Pesaran (2007), for different specifications of the deterministic components. An Excel programme is available to calculate the P value associated with a CIPS test statistic.


CIPS test Monte Carlo Unit roots Response surface Critical values P values 

JEL Classification

C12 C15 


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  1. Cheung Y. E., Lai K. S. (1993) Finite sample sizes of Johansen’s likelihood ratio tests for cointegration. Oxford Bulletin of Economics and Statistics 55: 313–328CrossRefGoogle Scholar
  2. Dickey D. A., Fuller W. A. (1979) Distribution of the estimators for autoregressive time series with a unit root. Journal of the American Statistical Association 74: 427–431Google Scholar
  3. Engle R. F., Granger C. W. J. (1987) Cointegration and error correction: Representation, estimation and testing. Econometrica 55: 251–276CrossRefGoogle Scholar
  4. Harvey D. I., van Dijk D. (2006) Sample size, lag order and critical values of seasonal unit root tests. Computational Statistics and Data Analysis 50: 2734–2751CrossRefGoogle Scholar
  5. Hylleberg S., Engle R. F., Granger C. W. J., Yoo B. S. (1990) Seasonal integration and cointegration. Journal of Econometrics 44: 215–238CrossRefGoogle Scholar
  6. Im K., Pesaran M. H., Shin Y. (2003) Testing for unit roots in heterogeneous panels. Journal of Econometrics 115: 53–74CrossRefGoogle Scholar
  7. Johansen S. (1988) Statistical analysis of cointegration vectors. Journal of Economic Dynamics and Control 12: 231–254CrossRefGoogle Scholar
  8. Kwiatkowski D., Phillips P. C. B., Schmidt P., Shin Y. (1992) Testing the null hypothesis of stationarity against the alternative of a unit root. Journal of Econometrics 54: 159–178CrossRefGoogle Scholar
  9. MacKinnon J. G. (1991) Critical values for cointegration tests. In: Engle R. F., Granger C. W. J. (eds) Long-run economic relationships: Readings in cointegration. Oxford University Press, Oxford, pp 267–276Google Scholar
  10. Mackinnon J. G. (1994) Approximate asymptotic distribution functions for unit-root and cointegration tests. Journal of Business and Economic Statistics 12: 167–176Google Scholar
  11. Mackinnon J. G. (1996) Numerical distribution functions for unit root and cointegration tests. Journal of Applied Econometrics 11: 601–618CrossRefGoogle Scholar
  12. Mackinnon J. G., Haug A. A., Michelis L. (1999) Numerical distribution functions of likelihood ratio tests for cointegration. Journal of Applied Econometrics 14: 563–577CrossRefGoogle Scholar
  13. Pesaran M. H. (2007) A simple panel unit root test in the presence of cross section dependence. Journal of Applied Econometrics 22: 265–312CrossRefGoogle Scholar
  14. Sephton P. S. (1995) Response surface estimates of the KPSS stationarity test. Economics Letters 47: 255–261CrossRefGoogle Scholar
  15. Strauss J., Yigit T. (2003) Shortfalls of panel unit root testing. Economics Letters 81: 309–313CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC. 2011

Authors and Affiliations

  1. 1.Facultad de EconomíaUniversidad del RosarioBogotaColombia
  2. 2.Department of EconomicsUniversity of WarwickCoventryUK

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