equating test scores is an important issue in large scale testing. almost all standardized tests have several forms which vary in difficulty. new forms are written and added every year. when the items in different forms of a test vary in difficulty, direct comparison of test-takers who have taken different forms and are at the same ability level is not possible; hence, the issue of test fairnes...

The R package kequate enables observed-score equating using the kernel method of test equating. We present the recent developments of kequate, which provide additional support for item-response theory observed score equating using 2-PL and 3-PL models in the equivalent groups design and non-equivalent groups with anchor test design using chain equating. The implementation also allows for local ...

To ensure test security and fairness, alternative forms of the same test are administered in practice. However, alternative forms of the same test generally do not have the same test difficulty level, even though alternative test forms are designed to be as parallel as possible. Equating adjusts for differences in difficulties among forms of the test. Six traditional equating methods are consid...

Andersson, B. 2014. Contributions to Kernel Equating. Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Social Sciences 106. 24 pp. Uppsala: Acta Universitatis Upsaliensis. ISBN 978-91-554-9089-8. The statistical practice of equating is needed when scores on different versions of the same standardized test are to be compared. This thesis constitutes four contributions...

A Markov chain Monte Carlo (MCMC) method and a bootstrap method were compared in the estimation of standard errors of item response theory (IRT) true score equating. Three test form relationships were examined: parallel, tauequivalent, and congeneric. Data were simulated based on Reading Comprehension and Vocabulary tests of the Iowa Tests of Basic Skills1. For parallel and congeneric test form...

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The standard error of equating is a useful index to quantify the amount of equating error. It is the standard deviation of equated scores over replications of an equating procedure in samples from a population or populations of examines. The current study estimates the SE of item response theory true score equating in the Nonequivalent Groups with Anchor Test design using simulations. Specifica...