This rejoinder highlights some of the differences in the test approach adopted by Fernandez-Macho (2013) in his critique of Leong and Huang (2010) and those commonly found in the literature such as Granger and Newbold(1974), Phillips (1986) and Leong and Huang (2010)

We develop a general approach to robust inference about a scalar parameter when the data is potentially heterogeneous and correlated in a largely unknown way. The key ingredient is the following result of Bakirov and Sz´ekely (2005) concerning the small sample properties of the standard t-test:...