The minimum chi-square method for computing equating coefficients for tests with dichotomously scored items was extended to the case of F. Samejima's graded response model. When compared with the test response function method, the minimum chi-square method was less demanding computationally and yielded similar equating coefficients. (SLD)

Presents a constrained computerized adaptive testing (CAT) algorithm that can be used to equate CAT number-correct scores to a reference test. Used an item bank from the Law School Admission Test to compare results of the algorithm with those for equipercentile observed-score equating. Discusses advantages of the approach. (SLD)

Derived simplified equations to compute the standard error of the frequency estimation method for equating score distributions that are continuized using a uniform or Gaussian kernel function. Results from two empirical studies indicate that these equations work reasonably well for moderate size samples. (SLD)

This study investigated the effectiveness of equating with very small samples using the random groups design. Of particular interest was equating accuracy at specific scores where performance standards might be set. Two sets of simulations were carried out, one in which the two forms were identical and one in which they differed by a tenth of a…

The feasibility of using linear and equipercentile equating methods (W. H. Angoff, 1984) to equate forms of the Test of Written English (TWE) by using the Test of English as a Foreign Language (TOEFL) as an anchor was explored. These two equating methods assume that either the TOEFL test and TWE test measure the same skills or that the examinee…

A procedure for checking the score equivalence of nearly identical editions of a test is described. The procedure employs the standard error of equating (SEE) and utilizes graphical representation of score conversion deviation from the identity function in standard error units. Two illustrations of the procedure involving Scholastic Aptitude Test…

Item response models can be applied in many test equating situations by making strong statistical assumptions. Thus, studying the robustness of the models to violations of the assumptions and investigating model-data fit are essential in all item response theory (IRT) equating applications (M. Kolen and R. Brennan, 1995). Previous studies dealing…

Equating a test form to itself through a chain of equatings, commonly referred to as circular equating, has been widely used as a criterion to evaluate the adequacy of equating. This paper uses both analytical methods and simulation methods to show that this criterion is in general invalid in serving this purpose. For the random groups design done…

This paper describes and illustrates a method for equating examinations with multiple facets (i.e., items, examinees, judges, tasks, and rating scales). The data are from the practical section of two histotechnology certification examinations. The first practical examination involved 210 examinees, 14 judges, 15 slides, 3 tasks, and 2 rating…

The equating of scores on alternate forms of different achievement tests through the use of the three-parameter latent trait model, item-response theory (IRT) equating, was compared with the results of score equatings based on conventional linear and curvilinear equating models. Ten equatings were completed for pairs of alternate forms of the…

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…

Based on the experiences of four equating studies conducted by the Austin (Texas) Independent School District, a practical "cookbook" approach to test equating is presented. Three types of equating procedures are discussed: choosing a cutoff score on a new instrument, predicting Y from X, and symmetric equating of X and Y. (BW)

This paper presents the characteristics, properties and development of the National Reference Scale for reading. This new scale is the result of a reanalysis of the Anchor Test Study data using Rasch model procedures, in an effort to produce equated scores among all reading tests included in that study. (Author/JKS)

The primary objective of this study was to find the smallest sample size for which equating based on a random groups design could be expected to result in less overall equating error than had no equating been conducted. Mean, linear, and equipercentile equating methods were considered. Some of the analyses presented in this paper assumed that the…

Recent years have seen growing use of tests with mixed item formats, e.g., partly containing dichotomously scored items and partly consisting of polytomously scored items. A matching two test characteristic curves method (CCM) for placing these mixed format items on the same metric is described and evaluated in this paper under a common-item…