  When testing for replication of results from a primary study with two-sided
hypotheses in a follow-up study, we are usually interested in discovering the
features with discoveries in the same direction in the two studies. The
direction of testing in the follow-up study for each feature can therefore be
decided by the primary study. We prove that in this case the methods suggested
in Heller, Bogomolov, and Benjamini (2014) for control over false replicability
claims are valid. Specifically, we prove that if we input into the procedures
in Heller, Bogomolov, and Benjamini (2014) the one-sided p-values in the
directions favoured by the primary study, then we achieve directional control
over the desired error measure (family-wise error rate or false discovery
rate).
