The purposes of this study are: (1) to compare the results of linear, equipercentile, frequency estimation equipercentile and item response theory (IRT) true formula score equating; and (2) to investigate the feasibility of using IRT methods to equate new forms of the Preliminary Scholastic Aptitude Test/National Merit Scholarship Qualifying Test (PSAT/NMSQT) to each other directly. Equating samples for all methods, except the frequency estimation approach, contained approximately 2,000 randomly-selected cases from data obtained at the regular administrations of each of the old and new forms. Larger samples were used for the frequency estimation approach. The most notable aspect of the results obtained from the comparison of the four methods was the marked agreement found among them. The results also indicated that it is feasible to use IRT methods to equate the two forms of the PSAT/NMSQT directly. (BW)