This study evaluates various scoring methods including number-correct scoring, IRT theta scoring, and hybrid scoring in terms of scale-score stability over time. A simulation study was conducted to examine the relative performance of five scoring methods in terms of preserving the first two moments of scale scores for a population in a chain of linking with multiple test forms. Simulation factors included 1) the number of forms linked back to the initial form, 2) the pattern in mean shift, and 3) the proportion of common items. Results showed that scoring methods that operate with number-correct scores generally outperform those that are based on IRT proficiency estimators ([theta]) in terms of reproducing the mean and standard deviation of scale scores. Scoring methods performed differently as a function of patterns in a group proficiency change.