IDEAS home Printed from https://ideas.repec.org/a/spr/empeco/v51y2016i3d10.1007_s00181-015-1043-7.html
   My bibliography  Save this article

Testing for unit roots in nonlinear heterogeneous panels with smoothly changing trends: an application to Scandinavian unemployment rates

Author

Listed:
  • Rickard Sandberg

    (Stockholm School of Economics)

Abstract

This paper derives panel unit root tests, based on the unit root tests in single time series by He and Sandberg (Oxf Bull Econ Stat 68:835–861, 2006), in a nonlinear dynamic heterogeneous panel accommodating smooth structural changes in the intercepts, in the dynamics, and in the trends. The finite sample size properties of the tests are satisfactory, and the tests are conspicuously more powerful than the panel data unit root tests by Im et al. (J Econom 115:53–74, 2003; Bull Econ Stat 67:393–419, 2005), and Pesaran (J Appl Econom 22:265–312, 2007) in panels subject to structural changes. To accommodate panels with cross-section-dependent idiosyncratic errors, a bootstrap version of the tests is considered. The tests are applied to unemployment rates in Scandinavia, and strong evidence against the hysteresis hypothesis is found. This is not the case if panel unit root tests based on a linear panel or a nonlinear panel with a break in the intercept are applied.

Suggested Citation

  • Rickard Sandberg, 2016. "Testing for unit roots in nonlinear heterogeneous panels with smoothly changing trends: an application to Scandinavian unemployment rates," Empirical Economics, Springer, vol. 51(3), pages 1053-1083, November.
    • Handle: RePEc:spr:empeco:v:51:y:2016:i:3:d:10.1007_s00181-015-1043-7
    DOI: 10.1007/s00181-015-1043-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00181-015-1043-7
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s00181-015-1043-7?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Mario Cerrato & Christian De Peretti & Nick Sarantis, 2007. "A nonlinear panel unit root test under cross section dependence," Documents de recherche 07-12, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
    2. Dick van Dijk & Timo Terasvirta & Philip Hans Franses, 2002. "Smooth Transition Autoregressive Models — A Survey Of Recent Developments," Econometric Reviews, Taylor & Francis Journals, vol. 21(1), pages 1-47.
    3. Josep Lluis Carrion Silvestre & Tomas del Barrio Castro & Enrique Lopez Bazo, 2002. "Level shifts in a panel data based unit root test. An application to the rate of unemployment," Working Papers in Economics 79, Universitat de Barcelona. Espai de Recerca en Economia.
    4. Cheng, Ka Ming & Durmaz, Nazif & Kim, Hyeongwoo & Stern, Michael L., 2012. "Hysteresis vs. natural rate of US unemployment," Economic Modelling, Elsevier, vol. 29(2), pages 428-434.
    5. Davidson, James, 1994. "Stochastic Limit Theory: An Introduction for Econometricians," OUP Catalogue, Oxford University Press, number 9780198774037.
    6. Jushan Bai & Josep Lluís Carrion-I-Silvestre, 2009. "Structural Changes, Common Stochastic Trends, and Unit Roots in Panel Data," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(2), pages 471-501.
    7. 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.
    8. 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.
    9. Chan, Felix & Pauwels, Laurent, 2011. "Model specification in panel data unit root tests with an unknown break," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(7), pages 1299-1309.
    10. M. Hashem Pesaran & Aman Ullah & Takashi Yamagata, 2008. "A bias-adjusted LM test of error cross-section independence," Econometrics Journal, Royal Economic Society, vol. 11(1), pages 105-127, March.
    11. Arielle Beyaert & Maximo Camacho, 2008. "TAR Panel Unit Root Tests and Real Convergence," Review of Development Economics, Wiley Blackwell, vol. 12(3), pages 668-681, August.
    12. M. Hashem Pesaran, 2021. "General diagnostic tests for cross-sectional dependence in panels," Empirical Economics, Springer, vol. 60(1), pages 13-50, January.
    13. Moon, H.R. & Perron, B., 2012. "Beyond panel unit root tests: Using multiple testing to determine the nonstationarity properties of individual series in a panel," Journal of Econometrics, Elsevier, vol. 169(1), pages 29-33.
    14. Amsler, Christine & Lee, Junsoo, 1995. "An LM Test for a Unit Root in the Presence of a Structural Change," Econometric Theory, Cambridge University Press, vol. 11(2), pages 359-368, February.
    15. Schwert, G William, 2002. "Tests for Unit Roots: A Monte Carlo Investigation," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 5-17, January.
    16. Lundbergh, Stefan & Terasvirta, Timo & van Dijk, Dick, 2003. "Time-Varying Smooth Transition Autoregressive Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(1), pages 104-121, January.
    17. Terasvirta, Timo & Tjostheim, Dag & Granger, Clive W. J., 2010. "Modelling Nonlinear Economic Time Series," OUP Catalogue, Oxford University Press, number 9780199587155.
    18. 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.
    19. 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.
    20. Jushan Bai & Serena Ng, 2004. "A PANIC Attack on Unit Roots and Cointegration," Econometrica, Econometric Society, vol. 72(4), pages 1127-1177, July.
    21. Quah, Danny, 1994. "Exploiting cross-section variation for unit root inference in dynamic data," Economics Letters, Elsevier, vol. 44(1-2), pages 9-19.
    22. Changli He & Rickard Sandberg, 2006. "Dickey–Fuller Type of Tests against Nonlinear Dynamic Models," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 68(s1), pages 835-861, December.
    23. 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.
    24. Dijk, Dick van & Franses, Philip Hans, 1999. "Modeling Multiple Regimes in the Business Cycle," Macroeconomic Dynamics, Cambridge University Press, vol. 3(3), pages 311-340, September.
    25. Stock, James H & Watson, Mark W, 1996. "Evidence on Structural Instability in Macroeconomic Time Series Relations," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(1), pages 11-30, January.
    26. M. Hashem Pesaran & Davide Pettenuzzo & Allan Timmermann, 2006. "Forecasting Time Series Subject to Multiple Structural Breaks," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(4), pages 1057-1084.
    27. M. Hashem Pesaran, 2007. "A simple panel unit root test in the presence of cross-section dependence," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(2), pages 265-312.
    28. Kyung‐So Im & Junsoo Lee & Margie Tieslau, 2005. "Panel LM Unit‐root Tests with Level Shifts," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 67(3), pages 393-419, June.
    29. Suleyman Bolat & Aviral Kumar Tiwari & Ahmet Utku Erdayi, 2014. "Unemployment hysteresis in the Eurozone area: evidences from nonlinear heterogeneous panel unit root test," Applied Economics Letters, Taylor & Francis Journals, vol. 21(8), pages 536-540, May.
    30. Changli He & Rickard Sandberg, 2012. "Testing Parameter Constancy in Unit Root Autoregressive Models Against Multiple Continuous Structural Changes," Econometric Reviews, Taylor & Francis Journals, vol. 31(1), pages 34-59.
    31. Chang, Yoosoon, 2002. "Nonlinear IV unit root tests in panels with cross-sectional dependency," Journal of Econometrics, Elsevier, vol. 110(2), pages 261-292, October.
    32. Perron, Pierre, 1990. "Testing for a Unit Root in a Time Series with a Changing Mean," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(2), pages 153-162, April.
    33. Ucar, Nuri & Omay, Tolga, 2009. "Testing for unit root in nonlinear heterogeneous panels," Economics Letters, Elsevier, vol. 104(1), pages 5-8, July.
    34. Dong Shin & Oesook Lee, 2008. "Unit root tests for panel MTAR model with cross-sectionally dependent error," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 67(3), pages 315-326, April.
    35. Jansen, Eilev S & Terasvirta, Timo, 1996. "Testing Parameter Constancy and Super Exogeneity in Econometric Equations," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 58(4), pages 735-763, November.
    36. Skalin, Joakim & Teräsvirta, Timo, 2002. "Modeling Asymmetries And Moving Equilibria In Unemployment Rates," Macroeconomic Dynamics, Cambridge University Press, vol. 6(2), pages 202-241, April.
    37. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November.
    38. Harris, Richard D. F. & Tzavalis, Elias, 1999. "Inference for unit roots in dynamic panels where the time dimension is fixed," Journal of Econometrics, Elsevier, vol. 91(2), pages 201-226, August.
    39. Peter C. B. Phillips & Donggyu Sul, 2003. "Dynamic panel estimation and homogeneity testing under cross section dependence *," Econometrics Journal, Royal Economic Society, vol. 6(1), pages 217-259, June.
    40. Lin, Chien-Fu Jeff & Terasvirta, Timo, 1994. "Testing the constancy of regression parameters against continuous structural change," Journal of Econometrics, Elsevier, vol. 62(2), pages 211-228, June.
    41. 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.
    42. Schmidt, Peter & Phillips, C B Peter, 1992. "LM Tests for a Unit Root in the Presence of Deterministic Trends," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 257-287, August.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Niels Framroze Møller, 2019. "Decoding unemployment persistence: an econometric framework for identifying and comparing the sources of persistence with an application to UK macrodata," Empirical Economics, Springer, vol. 56(5), pages 1489-1514, May.
    2. Marina Faďoš & Mária Bohdalová, 2019. "Unemployment gender inequality: evidence from the 27 European Union countries," Eurasian Economic Review, Springer;Eurasia Business and Economics Society, vol. 9(3), pages 349-371, September.

    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. Tolga Omay & Mübariz Hasanov & Yongcheol Shin, 2018. "Testing for Unit Roots in Dynamic Panels with Smooth Breaks and Cross-Sectionally Dependent Errors," Computational Economics, Springer;Society for Computational Economics, vol. 52(1), pages 167-193, June.
    2. Matteo Lanzafame, 2010. "The nature of regional unemployment in Italy," Empirical Economics, Springer, vol. 39(3), pages 877-895, December.
    3. 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.
    4. Shahnazi, Rouhollah & Dehghan Shabani, Zahra, 2021. "The effects of renewable energy, spatial spillover of CO2 emissions and economic freedom on CO2 emissions in the EU," Renewable Energy, Elsevier, vol. 169(C), pages 293-307.
    5. Tolga Omay & Yılmaz Akdi & Furkan Emirmahmutoglu & Meltem Eryılmaz, 2024. "The Refinement of a Common Correlated Effect Estimator in Panel Unit Root Testing: An Extensive Simulation Study," Mathematics, MDPI, vol. 12(22), pages 1-25, November.
    6. Giray Gozgor, 2013. "Testing Unemployment Persistence in Central and Eastern European Countries," International Journal of Economics and Financial Issues, Econjournals, vol. 3(3), pages 694-700.
    7. Lyócsa, Štefan & Výrost, Tomáš & Baumöhl, Eduard, 2011. "Unit-root and stationarity testing with empirical application on industrial production of CEE-4 countries," MPRA Paper 29648, University Library of Munich, Germany.
    8. Belaïd, Fateh & Zrelli, Maha Harbaoui, 2019. "Renewable and non-renewable electricity consumption, environmental degradation and economic development: Evidence from Mediterranean countries," Energy Policy, Elsevier, vol. 133(C).
    9. Acikgoz, Senay & Ben Ali, Mohamed Sami, 2019. "Where does economic growth in the Middle Eastern and North African countries come from?," The Quarterly Review of Economics and Finance, Elsevier, vol. 73(C), pages 172-183.
    10. Breitung, Jörg & Pesaran, Mohammad Hashem, 2005. "Unit roots and cointegration in panels," Discussion Paper Series 1: Economic Studies 2005,42, Deutsche Bundesbank.
    11. Le, Thai-Ha & Chang, Youngho & Park, Donghyun, 2016. "Trade openness and environmental quality: International evidence," Energy Policy, Elsevier, vol. 92(C), pages 45-55.
    12. Westerlund, Joakim & Breitung, Jörg, 2009. "Myths and Facts about Panel Unit Root Tests," Working Papers in Economics 380, University of Gothenburg, Department of Economics.
    13. Sandberg, Rickard, 2016. "Trends, unit roots, structural changes, and time-varying asymmetries in U.S. macroeconomic data: the Stock and Watson data re-examined," Economic Modelling, Elsevier, vol. 52(PB), pages 699-713.
    14. Christoph Hanck & Robert Czudaj, 2015. "Nonstationary-volatility robust panel unit root tests and the great moderation," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 99(2), pages 161-187, April.
    15. 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.
    16. repec:zbw:rwirep:0434 is not listed on IDEAS
    17. Jönsson, Kristian, 2004. "Testing for Stationarity in Panel Data Models when Disturbances are Cross-Sectionally Correlated," Working Papers 2004:17, Lund University, Department of Economics, revised 26 Nov 2004.
    18. Christoph Hanck & Robert Czudaj, 2013. "Nonstationary-Volatility Robust Panel Unit Root Tests and the Great Moderation," Ruhr Economic Papers 0434, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    19. Fateh Belaïd & Maha Harbaoui Zrelli, 2016. "Renewable and Non-Renewable Electricity Consumption, Carbon Emissions and GDP: Evidence From Mediterranean Countries," Working Papers 1037, Economic Research Forum, revised Aug 2016.
    20. James E Payne & Junsoo Lee, 2024. "Global perspective on the permanent or transitory nature of shocks to tourist arrivals: Evidence from new unit root tests with structural breaks and factors," Tourism Economics, , vol. 30(1), pages 67-103, February.
    21. In Choi, 2019. "Unit Root Tests for Dependent Micropanels," The Japanese Economic Review, Springer, vol. 70(2), pages 145-167, June.

    More about this item

    Keywords

    Dynamic nonlinear heterogeneous panels; Macroeconomic panels; LSTAR; LSTART; Nonlinear trends; Structural breaks; Unit root; Hysteresis; Bootstrap;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

    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:spr:empeco:v:51:y:2016:i:3:d:10.1007_s00181-015-1043-7. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.