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Mean Group Tests for Stationarity in Heterogeneous Panels

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Abstract

This paper proposes the panel-based mean group tests for the null of stationarity against the alternative of unit roots in the presence of both heterogeneity across cross-section units and serial correlation across time periods. Using both sequential and joint asymptotic analyses the proposed test statistic is shown to be distributed as standard normal under the null for large N (number of groups) and large T (number of time periods). Monte Carlo results support the use of join asymptotic limits (under further condition that N/T -> 0) as a guide to finite sample performance, but also clearly indicate that the power of our suggested panel-based test is substantially higher than that of the single time series-based test.

Suggested Citation

  • Yongcheol Shin & Andy Snell, 2002. "Mean Group Tests for Stationarity in Heterogeneous Panels," Edinburgh School of Economics Discussion Paper Series 107, Edinburgh School of Economics, University of Edinburgh.
    • Handle: RePEc:edn:esedps:107
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    Cited by:

    1. Kristian Jönsson, 2008. "Choosing Between Panel Data Stationarity Tests," Economics Bulletin, AccessEcon, vol. 3(25), pages 1-8.
    2. Melike E Bildirici, 2021. "Terrorism, environmental pollution, foreign direct investment (FDI), energy consumption, and economic growth: Evidences from China, India, Israel, and Turkey," Energy & Environment, , vol. 32(1), pages 75-95, February.
    3. Hadri, Kaddour & Kurozumi, Eiji, 2012. "A simple panel stationarity test in the presence of serial correlation and a common factor," Economics Letters, Elsevier, vol. 115(1), pages 31-34.
    4. Matei Demetrescu & Uwe Hassler & Adina Tarcolea, 2010. "Testing for stationarity in large panels with cross-dependence, and US evidence on unit labor cost," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(8), pages 1381-1397.
    5. 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.
    6. Hadri, Kaddour & Kurozumi, Eiji & 黒住, 英司, 2008. "A Simple Panel Stationarity Test in the Presence of Cross-Sectional Dependence," CCES Discussion Paper Series 7, Center for Research on Contemporary Economic Systems, Graduate School of Economics, Hitotsubashi University.
    7. repec:ebl:ecbull:v:3:y:2008:i:25:p:1-8 is not listed on IDEAS
    8. Nazlioglu, Saban & Karul, Cagin, 2017. "A panel stationarity test with gradual structural shifts: Re-investigate the international commodity price shocks," Economic Modelling, Elsevier, vol. 61(C), pages 181-192.
    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. Diego Romero-Avila, 2008. "A confirmatory analysis of the unit root hypothesis for OECD consumption-income ratios," Applied Economics, Taylor & Francis Journals, vol. 40(17), pages 2271-2278.
    11. Hadri, Kaddour & Kurozumi, Eiji, 2011. "A Locally Optimal Test for No Unit Root in Cross-sectionally Dependent Panel Data," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 52(2), pages 165-184, December.
    12. Alejandro C. García-Cintado & Diego Romero-Ávila & Carlos Usabiaga, 2016. "The economic integration of Spain: a change in the inflation pattern," Latin American Economic Review, Springer;Centro de Investigaciòn y Docencia Económica (CIDE), vol. 25(1), pages 1-41, December.
    13. Paresh Narayan, 2008. "Is Asian per capita GDP panel stationary?," Empirical Economics, Springer, vol. 34(3), pages 439-449, June.

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    More about this item

    Keywords

    mean group tests; heterogeneous panels; joint asymptotic theory; stationarity; unit roots; Monte Carlo simulation; finite sample adjustment;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

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