The Performance of Panel Unit Root and Stationarity Tests : Results from a Large Scale Simulation Study ∗

This paper presents results concerning the size and power of first generation panel unit root and stationarity tests obtained from a large scale simulation study, with in total about 290 million test statistics computed. The tests developed in the following papers are included: Levin, Lin and Chu (2002), Harris and Tzavalis (1999), Breitung (2000), Im, Pesaran and Shin (1997 and 2003), Maddala and Wu (1999), Hadri (2000), and Hadri and Larsson (2005). Our simulation set-up is designed to address i.a. the following issues. First, we assess the performance as a function of the time and the cross-section dimension. Second, we analyze the impact of positive MA roots on the test performance. Third, we investigate the power of the panel unit root tests (and the size of the stationarity tests) for a variety of first order autoregressive coefficients. Fourth, we consider both of the two usual specifications of deterministic variables in the unit root literature. JEL Classification: C12, C15, C23

[1]  K. Hadri,et al.  Testing for stationarity in heterogeneous panel data where the time dimension is finite , 2005 .

[2]  Hyungsik Roger Moon,et al.  Testing For A Unit Root In Panels With Dynamic Factors , 2002 .

[3]  Samarjit Das,et al.  Panel unit root tests under cross‐sectional dependence , 2005 .

[4]  M. Pesaran,et al.  Testing for unit roots in heterogeneous panels , 2003 .

[5]  J. Bai,et al.  A Panic Attack on Unit Roots and Cointegration , 2001 .

[6]  Andrew T. Levin,et al.  Unit root tests in panel data: asymptotic and finite-sample properties , 2002 .

[7]  Masao Ogaki,et al.  A consistent test for the null of stationarity against the alternative of a unit root , 1992 .

[8]  G. Maddala,et al.  A Comparative Study of Unit Root Tests with Panel Data and a New Simple Test , 1999 .

[9]  W. Newey,et al.  Automatic Lag Selection in Covariance Matrix Estimation , 1994 .

[10]  Sune Karlsson,et al.  On the power and interpretation of panel unit root tests , 1999 .

[11]  K. Hadri Testing The Null Hypothesis Of Stationarity Against The Alternative Of A Unit Root In Panel Data With Serially Correlated Errors , 1999 .

[12]  Yoosoon Chang,et al.  Nonlinear IV Unit Root Tests in Panels with Cross-Sectional Dependency , 2002 .

[13]  Paul Newbold,et al.  The balance between size and power in Dickey-Fuller tests with data-dependent rules for the choice of truncation lag , 1996 .

[14]  M. Pesaran A Simple Panel Unit Root Test in the Presence of Cross Section Dependence , 2003 .

[15]  In Choi,et al.  Unit root tests for panel data , 2001 .

[16]  P. Phillips,et al.  Testing the null hypothesis of stationarity against the alternative of a unit root: How sure are we that economic time series have a unit root? , 1992 .

[17]  M. Wagner,et al.  What's Really the Story with this Balassa-Samuelson Effect in the CEECs? , 2004 .

[18]  M. Kendall Statistical Methods for Research Workers , 1937, Nature.

[19]  James G. MacKinnon,et al.  Approximate Asymptotic Distribution Functions for Unit-Root and Cointegration Tests , 1994 .

[20]  In Choi Econometric Theory and Practice: Combination Unit Root Tests for Cross-Sectionally Correlated Panels , 2006 .

[21]  Elias Tzavalis,et al.  Inference for unit roots in dynamic panels where the time dimension is fixed , 1999 .

[22]  J. Breitung,et al.  The local power of some unit root tests for panel data , 1999 .

[23]  P. Phillips Time series regression with a unit root , 1987 .

[24]  Joel L. Horowitz,et al.  Empirically relevant critical values for hypothesis tests: A bootstrap approach , 2000 .

[25]  P. Phillips,et al.  Linear Regression Limit Theory for Nonstationary Panel Data , 1999 .

[26]  D. Andrews Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation , 1991 .

[27]  Jörg Breitung,et al.  The local power of some unit root tests for panel data , 1999 .

[28]  Kaddour Hadri,et al.  Testing for Stationarity in Heterogeneous Panel Data , 2000 .