STANDARD ERRORS OF THE KERNEL EQUATING METHODS UNDER THE COMMON-ITEM DESIGN

Simplified equations are derived to compute the standard error of the frequency estimation method for equating score distributions that are continuized using a uniform or Gaussian kernel function (Holland, King , & Thayer, 1989; Holland & Thayer, 1987). The simplified equations ca n be used to equate both observed-and smoothed-score distributions (Ro senbaum & Thayer, 1987). Results from two empirical studies indicate t hat the simplified equations work reasonably well for moderate-size sa mples (e.g., 1,000 examinees).