Estimates of standard errors of equating were most accurate when based on large sample sizes and score-level data that were not sparse. The accuracy of standard error estimates was not influenced by the correctness of the presmoothing model. The accuracy of estimates of the standard errors of equating differences was also evaluated. The study concludes with some detailed comparisons of how the kernel and traditional equipercentile continuization methods interacted with data that were presmoothed to different degrees.