Studied whether circular equating could provide an adequate measure of various types of equating error when applied to different equating methods under different equating designs. Analyses and simluations show that circular equating is generally invalid as a criterion to evaluate the adequacy of equating. (SLD)

This article discusses the five studies included in this issue. Each article addressed the same topic, population invariance of equating. They all used data from major standardized testing programs, and they all used essentially the same statistics to evaluate their results, namely, the root mean square difference and root expected mean square…

Population invariance is an important requirement of test equating. An equating function is said to be population invariant when the choice of (sub)population used to compute the equating function does not matter. In recent studies, the extent to which equating functions are population invariant is typically addressed in terms of practical…

This study applied kernel equating (KE) in two scenarios: equating to a very similar population and equating to a very different population, referred to as a distant population, using SAT® data. The KE results were compared to the results obtained from analogous classical equating methods in both scenarios. The results indicate that KE results are…

A sequence of simulations was carried out to aid in the diagnosis and interpretation of equating differences found between random and matched (nonrandom) samples for four commonly used equating procedures: (1) Tucker linear observed-score equating; (2) Levine equally reliable linear observed-score equating; (3) equipercentile curvilinear…

A calibration of the Armed Forces Qualification Test (AFQT) composite of the Armed Services Vocational Aptitude Battery (ASVAB) Forms 8a, 8b, 9a, 9b, 10a, and 10b to the metric of the AFQT Form 7a (AFQT-7a) and a comparison of these outcomes to the operational calibration tables implemented 1 October 1980 are presented. A sample of applicants for…

Two ways of interpreting raw test data are norm-referencing and criterion-referencing; the former yields information based on some type of ordering of the person on the person's dimension, while the latter tells whether or not students can exhibit a given performance. Criterion-referenced information can be ordered into a criterion-referenced…

Estimates of the internal consistency and reliability of the first principal component are provided through the use of the largest characteristic root and associated vector of the equicorrelation matrix. The estimate of the internal consistency is also shown to be a lower bound for the measure provided by Horn (1969). (Author)

A quadratic curve test equating method for equating different test forms under a random-groups data collection design is proposed that equates the first three central moments of the test forms. When applied to real test data, the method performs as well as other equating methods. Procedures from implementing the test are described. (SLD)

Studied three common item response theory equating approaches to capturing academic growth using data from a statewide testing program: (1) linear transformation of separate calibrations; (2) fixed common item parameter calibration; and (3) concurrent calibration. Found differences in mean growth depending on ability estimate and equating…

Linear equating methods for the common-item non-equivalent populations design were compared when true-score correlation between the test and anchor was less than unity. Scores from two groups of approximately 300 examinees illustrated three methods: (1) the Tucker equating method; (2) the Angoff-Levine method; and (3) the Congeneric-Levine method.…

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)

Yen and Burket suggested that shrinkage in vertical equating cannot be understood apart from multidimensionality. Reviews research on reliability, multidimensionality, and scale shrinkage, and explores issues of practical importance to educators. (SLD)

Studied results from five linking methods under the graded-response model using simulated data. Results show that differences in the linking coefficients are small. The five methods yielded similar results for longer common-item links with large sample sizes and when the distribution of item-location parameters matched the underlying trait…