This research derives simplified formulas for computing the standard error of the frequency estimation method for equating score distributions that are continuized using a uniform or Gaussian kernel function (P. W. Holland, B. F. King, and D. T. Thayer, 1989; Holland and Thayer, 1987). The simplified formulas are applicable to equating both the observed- and smoothed-score distributions (P. R. Rosenbaum and D. Thayer, 1987). Two empirical studies investigated the use of the simplified formulas. The first dataset was scores on 2 forms of an English test, each of which had 55 items, taken by 719 examinees, who answered 25 common items. The second dataset was reading data from the National Assessment of Educational Progress for 9,229 examinees. Results from the empirical studies indicate that the simplified formulas work reasonably well for samples with moderate sizes, such as 1,000 examinees. (Contains 9 figures and 17 references.) (Author/SLD)