A simple modification to improve the finite sample properties of Ng and Perron's unit root tests

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UNIT ROOT TESTING IN PRACTICE: DEALING WITH UNCERTAINTY OVER THE TREND AND INITIAL CONDITION (2009, unknown): “…implementations of DF-QDμ and DF-QDτ , the number of lagged difference terms, p, included in the ADF regression is determined by application of the MAIC procedure of Ng and Perron (2001) with maximum lag length set at pmax = 12(T/100)1/4 , using the modification suggested by Perron and Qu (2007).”
GLS-BASED UNIT ROOT TESTS WITH MULTIPLE STRUCTURAL BREAKS UNDER BOTH THE NULL AND THE ALTERNATIVE HYPOTHESES (2009, methodology): “The order of the autoregression k is selected using the modified information criteria suggested by Ng and Perron (2001) with the modification proposed by Perron and Qu (2007).”
GLS-based unit root tests with multiple structural breaks both under the null and the alternative hypotheses (2007, unknown): “The order of the autoregression k is selected using the modified information criteria suggested by Ng and Perron (2001) with the modification proposed by Perron and Qu (2007).”