Unit root tests

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The asymptotic size and power of the augmented Dickey–Fuller test for a unit root (2018, background): “Testing for the presence of a unit root is a widely investigated problem in econometrics; cf. Hamilton (1994) or Patterson (2011) for extensive treatments of this topic.”
Democracy Does Cause Growth (2019, background): “11 We should note, however, that the Levin et al. (2002) test requires two restrictive conditions to be satisfied: that the persistence of the GDP process is the same for all countries and that all cross-sectional dependence can be fully absorbed by year fixed effects.”