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Sinharay, Sandip; Jensen, Jens Ledet – Grantee Submission, 2018
In educational and psychological measurement, researchers and/or practitioners are often interested in examining whether the ability of an examinee is the same over two sets of items. Such problems can arise in measurement of change, detection of cheating on unproctored tests, erasure analysis, detection of item preknowledge etc. Traditional…
Descriptors: Test Items, Ability, Mathematics, Item Response Theory
Sinharay, Sandip – Journal of Educational and Behavioral Statistics, 2015
The maximum likelihood estimate (MLE) of the ability parameter of an item response theory model with known item parameters was proved to be asymptotically normally distributed under a set of regularity conditions for tests involving dichotomous items and a unidimensional ability parameter (Klauer, 1990; Lord, 1983). This article first considers…
Descriptors: Item Response Theory, Maximum Likelihood Statistics, Test Items, Ability