This study examines how closely the kernel equating (KE) method (von Davier, Holland, & Thayer, 2004a) approximates the results of other observed-score equating methods--equipercentile and linear equatings. The study used pseudotests constructed of item responses from a real test to simulate three equating designs: an equivalent groups (EG) design and two non-equivalent groups with anchor test (NEAT) designs, one with an internal anchor and another with an external anchor. To compare results, the study sets the equating function in the EG design as the equating criterion. In these examples, the KE results were very close to the results from the other equating methods. Moreover, in almost all situations investigated, the KE results were closer to the equating criterion.