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A Simple Panel-CADF Test for Unit Roots

Author

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  • Costantini, Mauro

    (Department of Economics, University of Vienna, Vienna, Austria)

  • Lupi, Claudio

    (Department SEGeS, Faculty of Economics, University of Molise, Campobasso, Italy)

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.

Suggested Citation

  • Costantini, Mauro & Lupi, Claudio, 2011. "A Simple Panel-CADF Test for Unit Roots," Economics Series 261, Institute for Advanced Studies.
    • Handle: RePEc:ihs:ihsesp:261
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    File URL: https://irihs.ihs.ac.at/id/eprint/2035
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    References listed on IDEAS

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    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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    21. Sigmund, Michael & Agati, Alessandra, 2025. "Banking in the negative: a vector error correction analysis of bank-specific lending and deposit rates," Working Paper Series 3039, European Central Bank.
    22. 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.
    23. 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.
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    More about this item

    Keywords

    Unit root; panel data; approximate p-values; Monte Carlo;
    All these keywords.

    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
    • F31 - International Economics - - International Finance - - - Foreign Exchange

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