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A Simple Panel-CADF Test for Unit Roots

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  • Mauro Costantini
  • Claudio Lupi

Abstract

In this paper we propose a simple extension to the panel case of the covariate- augmented Dickey Fuller (CADF) test for unit roots developed in Hansen (1995). The extension we propose is based on a p values combination approach that takes into account cross-section dependence. We show that the test is easy to compute, has good size properties and gives power gains with respect to other popular panel approaches. A procedure to compute the asymptotic p values of Hansen's CADF test is also a side-contribution of the paper. We also complement Hansen (1995) and Caporale and Pittis (1999) with some new theoretical results. Two empirical applications are carried out for illustration purposes on international data to test the PPP hypothesis and the presence of a unit root in international industrial production indices.
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  • Mauro Costantini & Claudio Lupi, 2013. "A Simple Panel-CADF Test for Unit Roots," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 75(2), pages 276-296, April.
    • Handle: RePEc:bla:obuest:v:75:y:2013:i:2:p:276-296
    DOI: 10.1111/obes.2013.75.issue-2
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    6. Mauro Costantini & Claudio Lupi, 2013. "A Simple Panel-CADF Test for Unit Roots," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 75(2), pages 276-296, April.
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    13. 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.
    14. Angeliki N. Menegaki & Aviral Kumar Tiwari, 2018. "A global food–energy–water nexus with heterogeneity, non-stationarity and cross-sectional dependence," Quality & Quantity: International Journal of Methodology, Springer, vol. 52(6), pages 2723-2755, November.
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    17. Claudiu Tiberiu Albulescu & Serban Miclea, 2020. "Firm-level total factor productivity convergence in German electricity and gas industry," Working Papers hal-02512939, HAL.
    18. Ahmed, Khalid & Shahbaz, Muhammad & Kyophilavong, Phouphet, 2016. "Revisiting the emissions-energy-trade nexus: Evidence from the newly industrializing," MPRA Paper 68680, University Library of Munich, Germany, revised 05 Jan 2016.
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    20. Costantini, Mauro & Lupi, Claudio, 2014. "Identifying I(0) Series in Macro-panels: Are Sequential Panel Selection Methods Useful?," Economics & Statistics Discussion Papers esdp14073, University of Molise, Department of Economics.
    21. Myachin, N., 2022. "Is there a natural rate of crime in Russia?," Journal of the New Economic Association, New Economic Association, vol. 53(1), pages 85-98.
    22. Marta Simoes & Adelaide Duarte & João Sousa Andrade, 2015. "Dimensions of the welfare state and economic performance: a comparative analysis," Investigaciones de Economía de la Educación volume 10, in: Marta Rahona López & Jennifer Graves (ed.), Investigaciones de Economía de la Educación 10, edition 1, volume 10, chapter 41, pages 811-828, Asociación de Economía de la Educación.
    23. João A. S. ANDRADE & Adelaide P. S. DUARTE & Marta C. N. SIMÕES, 2018. "Education and health: welfare state composition and growth across country groups," Eastern Journal of European Studies, Centre for European Studies, Alexandru Ioan Cuza University, vol. 9, pages 111-144, December.
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    JEL classification:

    • 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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