The purpose of this article was to extend the use of standard errors for equated score differences (SEEDs) to traditional equating functions. The SEEDs are described in terms of their original proposal for kernel equating functions and extended so that SEEDs for traditional linear and traditional equipercentile equating functions can be computed. These developments provide new understandings of the relationships between kernel and traditional equating functions that expand on prior developments of SEEDs and of standard errors of equating functions. The developments are demonstrated for an equivalent groups equating situation. The accuracies of the SEEDs are evaluated in simulations conducted using an equivalent groups equating example. (Contains 3 tables and 6 figures.)