2009SSRN Electronic JournalOpen access

A More Powerful Panel Unit Test with an Application to PPP

Chi Keung Marco Lau

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Abstract

Applying the new panel unit root test developed in this paper, we can overcome the pitfalls of old-fashioned panel unit root tests and makes it possible for researchers testing individual series for a unit root while taking contemporaneous cross-sectional dependence into account. The proposed test is indeed more powerful than univariate Augmented Dicky-Fuller (ADF) test in rejecting false I(1) time series. The long-run purchasing power parity (PPP) hypothesis on four OECD countries was tested between year 1950 and 1995. Evidence in favor of long-run PPP was absent when using single Augmented Dickey-Fuller and traditional panel data unit root test, however, when using the new test developed in this paper we find strong evidence in favor of long run purchasing power parity for 3 out of 4 OECD countries. The finite sample performance of the new test is examined though Monte Carlo Simulation, and was superior as compared to that of single ADF unit root test.

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What this paper is about

Applying the new panel unit root test developed in this paper, we can overcome the pitfalls of old-fashioned panel unit root tests and makes it possible for researchers testing individual series for a unit root while taking contemporaneous cross-sectional dependence into account. The proposed test is indeed more powerful than univariate Augmented Dicky-Fuller (ADF) test in rejecting false I(1) time series. The long-run purchasing power parity (PPP) hypothesis on four OECD countries was tested between year 1950 and 1995. Evidence in favor of long-run PPP was absent when using single Augmented Dickey-Fuller and traditional panel data unit root test, however, when using the new test developed in this paper we find strong evidence in favor of long run purchasing power parity for 3 out of 4 OECD countries. The finite sample performance of the new test is examined though Monte Carlo Simulation, and was superior as compared to that of single ADF unit root test.

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Available abstract

Applying the new panel unit root test developed in this paper, we can overcome the pitfalls of old-fashioned panel unit root tests and makes it possible for researchers testing individual series for a unit root while taking contemporaneous cross-sectional dependence into account. The proposed test is indeed more powerful than univariate Augmented Dicky-Fuller (ADF) test in rejecting false I(1) time series. The long-run purchasing power parity (PPP) hypothesis on four OECD countries was tested between year 1950 and 1995. Evidence in favor of long-run PPP was absent when using single Augmented Dickey-Fuller and traditional panel data unit root test, however, when using the new test developed in this paper we find strong evidence in favor of long run purchasing power parity for 3 out of 4 OECD countries. The finite sample performance of the new test is examined though Monte Carlo Simulation, and was superior as compared to that of single ADF unit root test.

Key concepts: Purchasing power parity, Unit root, Univariate, Unit root test, Econometrics, Monte Carlo method, Test (biology), Augmented Dickey–Fuller test

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