In this study, we describe what factors influence the observed score correlation between an (external) anchor test and a total test. We show that the anchor to full-test observed score correlation is based on two components: the true score correlation between the anchor and total test, and the reliability of the anchor test. Findings using an…

Quantitative information about test score reliability can be presented in terms of the distribution of equated scores on an alternate form of the test for test takers with a given score on the form taken. In this paper, we describe a procedure for estimating that distribution, for any specified score on the test form taken, by estimating the joint…

The purpose of this study was to examine the impact of dimensionality, common-item set format, and different scale linking methods on preserving equity property with mixed-format test equating. Item response theory (IRT) true-score equating (TSE) and IRT observed-score equating (OSE) methods were used under common-item nonequivalent groups design.…

The psychometric considerations and challenges associated with including constructed response items on tests are discussed along with how these issues affect the form assembly specifications for mixed-format exams. Reliability and validity, security and fairness, pretesting, content and skills coverage, test length and timing, weights, statistical…

There is significant potential for error in long production processes that consist of sequential stages, each of which is heavily dependent on the previous stage, such as the SER (Scoring, Equating, and Reporting) process. Quality control procedures are required in order to monitor this process and to reduce the number of mistakes to a minimum. In…

For two tests measuring the same trait, the program, BIV20, equates the scores using the two True score distributions estimated by the univariate method 20 program (see Wingersky, Lees, Lennon, and Lord, 1969) and, with these equated true scores and their distributions, estimates the bivariate distribution scores and the relative efficiency of the…

This study addresses the sample error and linking bias that occur with small and unrepresentative samples in a non-equivalent groups anchor test (NEAT) design. We propose a linking method called the "synthetic function," which is a weighted average of the identity function (the trivial equating function for forms that are known to be…

Score equating requires that the forms to be equated are functionally parallel. That is, the two test forms should rank order examinees in a similar fashion. In language proficiency testing situations, this assumption is often put into doubt because of the numerous tests that have been proposed as measures of language proficiency and the…

Issues concerning equating test scores are discussed in an introduction, four papers, and two commentaries. Equating methods research, sampling errors, linear equating, population differences, sources of equating errors, and a circular equating paradigm are considered. (SLD)

An important determinant of equating process efficiency is the correlation between the anchor test and components of each form. Use of some monotonic function of this correlation as a measure of equating efficiency is suggested. A model relating anchor test length and test reliability to this measure of efficiency is presented. (Author/DWH)

The purpose of this investigation was to establish the effects of repeaters on test equating. Since consideration was not given to repeaters in test equating, such as in the derivation of equations by Angoff (1971), the hypothetical effect needed to be established. A case study was examined which showed results on a test as expected; overall mean…

Much previously published material for estimating the reliability of classification has been based on the assumption that a test consists of a known number of equally weighted items. The test score is the number of those items answered correctly. These methods cannot be used with classifications based on weighted composite scores, especially if…

This paper deals with the problems that arise in performance assessment from the granularity that results from having a small number of tasks or prompts and raters of responses to these tasks or prompts. Two problems are discussed in detail: (1) achieving a satisfactory degree of reliability; and (2) equating or adjusting for differences of…

The Netherlands' secondary education system is highly differentiated, with four different school types for four scholastic ability levels. Final examinations must accommodate these four levels, and require a test-independent definition of the intended final ability levels as well as a sample-free evaluation of the range of ability levels at which…

The selection of an appropriate test battery is based on its content and applicability to the vocational trainee population. This report describes the testing of a national sample of U.S. high school students with an established version of Armed Services Vocational Aptitude Battery (ASVAB), and a new, enlarged version of the same test battery.…