  A first measurement of time-reversal (T) asymmetries that are not also CP
asymmetries has been recently achieved by the BaBar collaboration. We analyze
the measured asymmetries in the presence of direct CP violation, CPT violation,
wrong strangeness decays and wrong sign semileptonic decays. We note that the
commonly used S_{\psi K} and C_{\psi K} parameters are CP-odd, but have a T-odd
CPT-even part and a T-even CPT-odd part. We introduce parameters that have
well-defined transformation properties under CP, T and CPT. We identify
contributions to the measured asymmetries that are T conserving. We explain
why, in order that the measured asymmetries would be purely odd under
time-reversal, there is no need to assume the absence of direct CP violation.
Instead, one needs to assume (i) the absence of CPT violation in strangeness
changing decays, and (ii) the absence of wrong sign decays.
