  In multiple hypothesis testing, it is well known that adaptive procedures can
enhance power via incorporating information about the number of true nulls
present. Under independence, we establish that two adaptive false discovery
rate (FDR) methods, upon augmenting sign declarations, also offer directional
false discovery rate (FDR$_\text{dir}$) control in the strong sense. Such
FDR$_\text{dir}$ controlling properties are appealing because adaptive
procedures have the greatest potential to reap substantial gain in power when
the underlying parameter configurations contain little to no true nulls, which
are precisely settings where the FDR$_\text{dir}$ is an arguably more
meaningful error rate to be controlled than the FDR.
