The purposes of this paper are five-fold to discuss: (1) when item response theory (IRT) equating methods should provide better results than traditional methods; (2) which IRT model, the three-parameter logistic or the one-parameter logistic (Rasch), is the most reasonable to use; (3) what unique contributions IRT methods can offer the equating…

The purpose of this study was to empirically examine the relationship between violations of the assumption of unidimensionality, as assessed by the factor analysis of item parcel data, and the quality of item response theory (IRT) true-score equating, as measured by score scale stability. The verbal section of the Scholastic Aptitude Test (SAT)…

The purpose of this study was to determine the extent to which item parameters estimated on pretest data from the verbal section of the Scholastic Aptitude Test (SAT) can be used for equating purposes in a situation where intact final form SAT testing data have normally been used. Items appearing in two final SAT-verbal forms were calibrated…

Data from the Scholastic Aptitude Test-Verbal (SAT-V), SAT Mathematics (SAT-M), and Achievement Tests in Biology, American History, and Social Studies were used for this study. The temporal stability of item parameter estimates obtained for the same set of items calibrated for different examinees at different times was analyzed. It was believed…

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…

The purpose of this study was to examine the feasibility of using item response theory (IRT) methods to equate different forms of three College Board Achievement Tests (Biology, American History and Social Studies, and Mathematics Level II) and one Graduate Record Examinations Achievement Test (Advanced Biology), rather than conventional or…

This paper provides the basis for understanding score equating through item response theory (IRT). Theoretical justifications and practical advantages of IRT true-score test procedures are discussed. Three steps in the equating process are specified, and a self-test is included. (SLD)

The Preliminary Scholastic Aptitude Test/National Merit Scholarship Qualifying Test (PSAT/NMSQT) was equated to the Scholastic Aptitude Test (SAT) using item response theory (IRT) in a three-parameter logistic model. Estimated true formula score equating was used. Only the mathematical sections of the PSAT/NMSQT and SAT were used because the…

With some procedural differences, this study replicated an early study designed to develop algorithms for converting scores on the Scholastic Aptitude Test (SAT) with those on the Prueba de Aptitud Academica (PAA) scale and vice versa. The study involved selection of test items equally appropriate and useful for English- and Spanish-speaking…

This study tests several explanations for discrepant results in an earlier study (Cook et al., 1985) which presented a partial pre-calibration method for equating new editions of the Scholastic Aptitude Test (SAT) to the same scale as older editions. In contrast to full pre-calibration, which seeks to equate all items from two or more editions,…

This paper examines how various equating methods are affected by: (1) sampling error; (2) sample characteristics; and (3) characteristics of anchor test items. It reviews empirical studies that investigated the invariance of equating transformations, and it discusses empirical and simulation studies that focus on how the properties of anchor tests…

The equating of reasonably parallel forms of College Board Achievement Tests in biology, chemistry, mathematics level II, American history and social studies, and French is discussed. Results of the following five equating methods are compared: (1) Tucker; (2) Levine equally reliable; (3) Levine unequally reliable; (4) frequency estimation…