Stationarity in panel data refers to whether the mean and variance of variables are constant over time across entities; many panel datasets are non-stationary, so tests like Levin–Lin–Chu, Im–Pesaran–Shin, or Fisher-ADF are used to check for unit roots before applying panel econometric models.
Second-generation panel unit root tests, such as Pesaran's Cross-sectionally Augmented Dickey-Fuller (CADF) test, are a significant advancement over first-generation tests.
One uses the CADF test, and other second-generation tests, when there is a plausible theoretical basis or empirical evidence of cross-sectional dependence in the panel data. This is particularly relevant in cross-country studies of variables like GDP, inflation, or interest rates, where national economies are influenced by global factors.