Traditional psychometric guidelines suggest that at least several hundred respondents are needed to obtain accurate parameter estimates under the Rasch model. However, recent research indicates that Rasch equating results in accurate parameter estimates with sample sizes as small as 25. Item parameter drift under the Rasch model has been…

Examinees who attempt the same test multiple times are often referred to as "repeaters." Previous studies suggested that repeaters should be excluded from the total sample before equating because repeater groups are distinguishable from non-repeater groups. In addition, repeaters might memorize anchor items, causing item drift under a…

The standard error of equating quantifies the variability in the estimation of an equating function. Because common items for deriving equated scores are treated as fixed, the only source of variability typically considered arises from the estimation of common-item parameters from responses of samples of examinees. Use of alternative, equally…

This article proposes that sampling design effects have potentially huge unrecognized impacts on the results reported by large-scale district and state assessments in the United States. When design effects are unrecognized and unaccounted for they lead to underestimating the sampling error in item and test statistics. Underestimating the sampling…

The sample invariant properties of five anchor test equating methods are addressed. Equating results across two sampling conditions--representative sampling and new-form matched sampling--are compared for Tucker and Levine equally reliable linear equating, item response theory true-score equating, and two equipercentile methods. (SLD)

Articles on equating test forms in this issue are reviewed and discussed. The results of these papers collectively indicate that matching on the anchor test does not result in more accurate equating. Implications for research are discussed. (SLD)

The articles in this issue that address the effect of matching samples on ability are reviewed. In spite of these examinations of equating methods and sampling plans, it is still hard to determine a definitive answer to the question of to match or not to match. Implications are discussed. (SLD)

Two independent replications of a sequence of simulations were conducted to aid in the diagnosis and interpretation of equating differences found between representative (random) and matched (nonrandom) samples for three commonly used conventional observed-score equating procedures and one item-response-theory-based equating procedure. (SLD)

Equating two parallel forms of the College Board Biology Achievement Test using three sampling strategies was examined. For each strategy, five equating procedures were studied: Tucker and Levine equally reliable linear equatings; frequency estimation equipercentile equatings; chained equipercentile curvilinear equatings; and three-parameter…

The equating methods and sampling designs used in the empirical studies in this special issue on the use of matched samples for test equating are described. Four requisites for equating are listed, and the invariance of equating functions requisite is identified as the focus of this issue. (SLD)

Combinations of five methods of equating test scores and two methods of selecting samples of students for equating were compared for accuracy, using data from the administration of the Scholastic Aptitude Test to more than 115,000 students. Implications for research and practice are discussed. (SLD)