IDEAS home Printed from https://ideas.repec.org/p/rnp/wpaper/021707.html
   My bibliography  Save this paper

Testing the Hypothesis of a Unit Root for Independent Panels
[Тестирование Гипотезы О Наличии Единичного Корня Для Независимых Панелей]

Author

Listed:
  • Skrobotov, Anton (Скроботов, Антон)

    (Russian Presidential Academy of National Economy and Public Administration (RANEPA))

  • Turuntseva, Marina (Турунцева, Марина)

    (Russian Presidential Academy of National Economy and Public Administration (RANEPA))

Abstract

Testing of a unit root in the data is of great importance for the empirical analysis. Almost one or macroeconomic study is not without testing whether a particular stationary time series against the trend (trend stationary, TS) or It is stationary in first differences (difference stationary, DS). In the first If the number is stationary relative to the trend, the number of simulated necessary levels. Otherwise, you need to go to the first difference time series if it is modeled by this specific number separately,or proceed to the cointegration analysis of multiple time series, each which is non-stationary. The presence of cointegration allows us to give feasibility study of long-term and short-term dependency adjustments to long-term equilibrium.

Suggested Citation

  • Skrobotov, Anton (Скроботов, Антон) & Turuntseva, Marina (Турунцева, Марина), 2017. "Testing the Hypothesis of a Unit Root for Independent Panels [Тестирование Гипотезы О Наличии Единичного Корня Для Независимых Панелей]," Working Papers 021707, Russian Presidential Academy of National Economy and Public Administration.
  • Handle: RePEc:rnp:wpaper:021707
    as

    Download full text from publisher

    File URL: https://repec.ranepa.ru/rnp/wpaper/021707.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Joakim Westerlund, 2015. "On the Importance of the First Observation in GLS Detrending in Unit Root Testing," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 77(1), pages 152-161, February.
    2. Moon, Hyungsik Roger & Perron, Benoit & Phillips, Peter C.B., 2007. "Incidental trends and the power of panel unit root tests," Journal of Econometrics, Elsevier, vol. 141(2), pages 416-459, December.
    3. Sul, Donggyu, 2009. "Panel unit root tests under cross section dependence with recursive mean adjustment," Economics Letters, Elsevier, vol. 105(1), pages 123-126, October.
    4. Joakim Westerlund & Jörg Breitung, 2013. "Lessons from a Decade of IPS and LLC," Econometric Reviews, Taylor & Francis Journals, vol. 32(5-6), pages 547-591, August.
    5. Sargan, John Denis & Bhargava, Alok, 1983. "Testing Residuals from Least Squares Regression for Being Generated by the Gaussian Random Walk," Econometrica, Econometric Society, vol. 51(1), pages 153-174, January.
    6. Moon, H.R.Hyungsik Roger & Perron, Benoit, 2004. "Testing for a unit root in panels with dynamic factors," Journal of Econometrics, Elsevier, vol. 122(1), pages 81-126, September.
    7. Jörg Breitung & Samarjit Das, 2005. "Panel unit root tests under cross‐sectional dependence," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 59(4), pages 414-433, November.
    8. Hyungsik Roger Moon & Peter C. B. Phillips, 2004. "GMM Estimation of Autoregressive Roots Near Unity with Panel Data," Econometrica, Econometric Society, vol. 72(2), pages 467-522, March.
    9. Becheri, I. Gaia & Drost, Feike C. & van den Akker, Ramon & Wichert, Oliver, 2016. "The power envelope of panel unit root tests in case stationary alternatives offset explosive ones," Statistics & Probability Letters, Elsevier, vol. 108(C), pages 1-8.
    10. Claude Lopez, 2009. "A Panel Unit Root Test with Good Power in Small Samples," Econometric Reviews, Taylor & Francis Journals, vol. 28(4), pages 295-313.
    11. Leybourne, S J, 1995. "Testing for Unit Roots Using Forward and Reverse Dickey-Fuller Regressions," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 57(4), pages 559-571, November.
    12. Oh, Yujin & Lim, Yong Bin & So, Beong Soo, 2010. "A new score test for unit roots in heterogeneous panels -- Residual likelihood approach," Economics Letters, Elsevier, vol. 106(2), pages 71-74, February.
    13. Westerlund, Joakim & Larsson, Rolf, 2015. "New tools for understanding the local asymptotic power of panel unit root tests," Journal of Econometrics, Elsevier, vol. 188(1), pages 59-93.
    14. Hyungsik R. Moon & Peter C.B. Phillips, 1999. "Maximum Likelihood Estimation in Panels with Incidental Trends," Cowles Foundation Discussion Papers 1246, Cowles Foundation for Research in Economics, Yale University.
    15. Jinyong Hahn & Guido Kuersteiner, 2002. "Asymptotically Unbiased Inference for a Dynamic Panel Model with Fixed Effects when Both "n" and "T" Are Large," Econometrica, Econometric Society, vol. 70(4), pages 1639-1657, July.
    16. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-836, July.
    17. Hyungsik Roger Moon & Benoit Perron & Peter C. B. Phillips, 2014. "Point‐optimal panel unit root tests with serially correlated errors," Econometrics Journal, Royal Economic Society, vol. 17(3), pages 338-372, October.
    18. Joakim Westerlund & Johan Blomquist, 2013. "A modified LLC panel unit root test of the PPP hypothesis," Empirical Economics, Springer, vol. 44(2), pages 833-860, April.
    19. Westerlund, Joakim & Larsson, Rolf, 2012. "Testing for a unit root in a random coefficient panel data model," Journal of Econometrics, Elsevier, vol. 167(1), pages 254-273.
    20. Harris, David & Harvey, David I. & Leybourne, Stephen J. & Sakkas, Nikolaos D., 2010. "Local Asymptotic Power Of The Im-Pesaran-Shin Panel Unit Root Test And The Impact Of Initial Observations," Econometric Theory, Cambridge University Press, vol. 26(1), pages 311-324, February.
    21. Im, Kyung So & Pesaran, M. Hashem & Shin, Yongcheol, 2003. "Testing for unit roots in heterogeneous panels," Journal of Econometrics, Elsevier, vol. 115(1), pages 53-74, July.
    22. Karlsson, Sune & Lothgren, Mickael, 2000. "On the power and interpretation of panel unit root tests," Economics Letters, Elsevier, vol. 66(3), pages 249-255, March.
    23. Donald W. K. Andrews & Patrik Guggenberger, 2008. "Asymptotics for stationary very nearly unit root processes," Journal of Time Series Analysis, Wiley Blackwell, vol. 29(1), pages 203-212, January.
    24. L. Vanessa Smith & Stephen Leybourne & Tae-Hwan Kim & Paul Newbold, 2004. "More powerful panel data unit root tests with an application to mean reversion in real exchange rates," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 19(2), pages 147-170.
    25. Giulietti, Monica & Otero, Jesús & Smith, Jeremy, 2008. "Testing for unit roots in three-dimensional heterogeneous panels in the presence of cross-sectional dependence," Economics Letters, Elsevier, vol. 101(3), pages 188-192, December.
    26. Gaia Becheri, I. & Drost, Feike C. & Akker, Ramon van den, 2015. "Asymptotically Ump Panel Unit Root Tests—The Effect Of Heterogeneity In The Alternatives," Econometric Theory, Cambridge University Press, vol. 31(3), pages 539-559, June.
    27. Hyungsik Roger Moon & Benoit Perron, 2008. "Asymptotic local power of pooled t-ratio tests for unit roots in panels with fixed effects," Econometrics Journal, Royal Economic Society, vol. 11(1), pages 80-104, March.
    28. László Mátyás & Patrick Sevestre (ed.), 2008. "The Econometrics of Panel Data," Advanced Studies in Theoretical and Applied Econometrics, Springer, number 978-3-540-75892-1, July-Dece.
    29. Maddala, G S & Wu, Shaowen, 1999. "A Comparative Study of Unit Root Tests with Panel Data and a New Simple Test," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(0), pages 631-652, Special I.
    30. Pantula, Sastry G & Gonzalez-Farias, Graciela & Fuller, Wayne A, 1994. "A Comparison of Unit-Root Test Criteria," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(4), pages 449-459, October.
    31. Peter C. B. Phillips & Hyungsik R. Moon, 1999. "Linear Regression Limit Theory for Nonstationary Panel Data," Econometrica, Econometric Society, vol. 67(5), pages 1057-1112, September.
    32. Choi, In, 2001. "Unit root tests for panel data," Journal of International Money and Finance, Elsevier, vol. 20(2), pages 249-272, April.
    33. Elliott, Graham, 1999. "Efficient Tests for a Unit Root When the Initial Observation Is Drawn from Its Unconditional Distribution," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(3), pages 767-783, August.
    34. Oh, Yu Jin & So, Beong Soo, 2004. "Robust tests for unit roots in heterogeneous panels," Economics Letters, Elsevier, vol. 84(1), pages 35-41, July.
    35. Nickell, Stephen J, 1981. "Biases in Dynamic Models with Fixed Effects," Econometrica, Econometric Society, vol. 49(6), pages 1417-1426, November.
    36. Hanck, Christoph, 2008. "The Error-in-Rejection Probability of meta-analytic panel tests," Economics Letters, Elsevier, vol. 101(1), pages 27-30, October.
    37. Peter Farkas & Laszlo Matyas, 2015. "Testing for Unit Roots in Panel Data with Boundary Crossing Counts," CEU Working Papers 2015_5, Department of Economics, Central European University, revised 03 Nov 2015.
    38. Moon, H.R. & Perron, B. & Phillips, P.C.B., 2006. "On The Breitung Test For Panel Unit Roots And Local Asymptotic Power," Econometric Theory, Cambridge University Press, vol. 22(6), pages 1179-1190, December.
    39. Ulrich K. M¸ller & Graham Elliott, 2003. "Tests for Unit Roots and the Initial Condition," Econometrica, Econometric Society, vol. 71(4), pages 1269-1286, July.
    40. Westerlund, Joakim, 2015. "The effect of recursive detrending on panel unit root tests," Journal of Econometrics, Elsevier, vol. 185(2), pages 453-467.
    41. Shin, Dong Wan & Kang, Seungho & Oh, Man-Suk, 2004. "Recursive mean adjustment for panel unit root tests," Economics Letters, Elsevier, vol. 84(3), pages 433-439, September.
    42. Bai, Jushan & Ng, Serena, 2010. "Panel Unit Root Tests With Cross-Section Dependence: A Further Investigation," Econometric Theory, Cambridge University Press, vol. 26(4), pages 1088-1114, August.
    43. Phillips, Peter C.B. & Magdalinos, Tassos, 2009. "Unit Root And Cointegrating Limit Theory When Initialization Is In The Infinite Past," Econometric Theory, Cambridge University Press, vol. 25(6), pages 1682-1715, December.
    44. G. S. Maddala & Shaowen Wu, 1999. "A Comparative Study of Unit Root Tests with Panel Data and a New Simple Test," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(S1), pages 631-652, November.
    45. Joakim Westerlund, 2009. "A note on the use of the LLC panel unit root test," Empirical Economics, Springer, vol. 37(3), pages 517-531, December.
    46. Levin, Andrew & Lin, Chien-Fu & James Chu, Chia-Shang, 2002. "Unit root tests in panel data: asymptotic and finite-sample properties," Journal of Econometrics, Elsevier, vol. 108(1), pages 1-24, May.
    47. repec:taf:jnlbes:v:30:y:2012:i:2:p:256-264 is not listed on IDEAS
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Joakim Westerlund & Jörg Breitung, 2013. "Lessons from a Decade of IPS and LLC," Econometric Reviews, Taylor & Francis Journals, vol. 32(5-6), pages 547-591, August.
    2. Moon, Hyungsik Roger & Perron, Benoit & Phillips, Peter C.B., 2007. "Incidental trends and the power of panel unit root tests," Journal of Econometrics, Elsevier, vol. 141(2), pages 416-459, December.
    3. Pesaran, M. Hashem & Vanessa Smith, L. & Yamagata, Takashi, 2013. "Panel unit root tests in the presence of a multifactor error structure," Journal of Econometrics, Elsevier, vol. 175(2), pages 94-115.
    4. Norkutė, Milda & Westerlund, Joakim, 2021. "The factor analytical approach in near unit root interactive effects panels," Journal of Econometrics, Elsevier, vol. 221(2), pages 569-590.
    5. Zhongwen Liang, 2017. "A Unified Approach on the Local Power of Panel Unit Root Tests," Papers 1710.02944, arXiv.org.
    6. Joakim Westerlund & Johan Blomquist, 2013. "A modified LLC panel unit root test of the PPP hypothesis," Empirical Economics, Springer, vol. 44(2), pages 833-860, April.
    7. Westerlund, Joakim, 2015. "The effect of recursive detrending on panel unit root tests," Journal of Econometrics, Elsevier, vol. 185(2), pages 453-467.
    8. Pedroni, Peter L. & Vogelsang, Timothy J. & Wagner, Martin & Westerlund, Joakim, 2015. "Nonparametric rank tests for non-stationary panels," Journal of Econometrics, Elsevier, vol. 185(2), pages 378-391.
    9. Perevyshin, Yu. & Skrobotov, A., 2017. "The Price Convergence of Individual Goods in the Russian Regions," Journal of the New Economic Association, New Economic Association, vol. 35(3), pages 71-102.
    10. Breitung, Jörg & Pesaran, Mohammad Hashem, 2005. "Unit roots and cointegration in panels," Discussion Paper Series 1: Economic Studies 2005,42, Deutsche Bundesbank.
    11. Andreas Dietrich, 2012. "Does growth cause structural change, or is it the other way around? A dynamic panel data analysis for seven OECD countries," Empirical Economics, Springer, vol. 43(3), pages 915-944, December.
    12. Westerlund, Joakim & Larsson, Rolf, 2012. "Testing for a unit root in a random coefficient panel data model," Journal of Econometrics, Elsevier, vol. 167(1), pages 254-273.
    13. Becheri, I.G., 2012. "Limiting experiments for panel-data and jump-diffusion models," Other publications TiSEM 7e53f6cf-fab1-4f86-9e5d-b, Tilburg University, School of Economics and Management.
    14. Valérie Mignon & Christophe Hurlin, 2005. "Une synthèse des tests de racine unitaire sur données de panel," Économie et Prévision, Programme National Persée, vol. 169(3), pages 253-294.
    15. Joakim Westerlund, 2016. "Pooled Panel Unit Root Tests and the Effect of Past Initialization," Econometric Reviews, Taylor & Francis Journals, vol. 35(3), pages 396-427, March.
    16. Claude Lopez, 2009. "A Panel Unit Root Test with Good Power in Small Samples," Econometric Reviews, Taylor & Francis Journals, vol. 28(4), pages 295-313.
    17. Kajal Lahiri & Zhongwen Liang & Huaming Peng, 2017. "The Local Power of the IPS Test with Both Initial Conditions and Incidental Trends," CESifo Working Paper Series 6313, CESifo.
    18. Westerlund, Joakim & Larsson, Rolf, 2015. "New tools for understanding the local asymptotic power of panel unit root tests," Journal of Econometrics, Elsevier, vol. 188(1), pages 59-93.
    19. Yiannis Karavias & Elias Tzavalis, 2016. "Local Power of Fixed-T Panel Unit Root Tests With Serially Correlated Errors and Incidental Trends," Journal of Time Series Analysis, Wiley Blackwell, vol. 37(2), pages 222-239, March.
    20. Erik Hjalmarsson, 2005. "Estimation of average local-to-unity roots in heterogenous panels," International Finance Discussion Papers 852, Board of Governors of the Federal Reserve System (U.S.).

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:rnp:wpaper:021707. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: RANEPA maintainer (email available below). General contact details of provider: https://edirc.repec.org/data/aneeeru.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.