  The transfer factors for standard endoscopy involve, among other things, the
Langlands-Shelstad splitting invariant. This note introduces a twisted version
of that splitting invariant. The twisted splitting invariant is then used to
define a better twisted factor $\Delta_I$. In addition we correct a sign error
in the definition of twisted transfers. There are two ways to correct the sign
error. One way yields twisted transfer factors $\Delta'$ that are compatible
with the classical Langlands correspondence. The other way yields twisted
transfer factors $\Delta_D$ that are compatible with a renormalized version of
the Langlands correspondence.
