A Note on the Reliability Coefficients for Item Response Model-Based Ability Estimates |
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Authors: | Email author" target="_blank">Seonghoon?KimEmail author |
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Institution: | (1) Department of Education, Keimyung University, 2800 Dalgubeoldaero, Dalseo-Gu, Daegu, 704-701, South Korea;(2) The University of Iowa, Iowa City, IA, USA |
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Abstract: | Assuming item parameters on a test are known constants, the reliability coefficient for item response theory (IRT) ability
estimates is defined for a population of examinees in two different ways: as (a) the product-moment correlation between ability
estimates on two parallel forms of a test and (b) the squared correlation between the true abilities and estimates. Due to
the bias of IRT ability estimates, the parallel-forms reliability coefficient is not generally equal to the squared-correlation
reliability coefficient. It is shown algebraically that the parallel-forms reliability coefficient is expected to be greater
than the squared-correlation reliability coefficient, but the difference would be negligible in a practical sense. |
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Keywords: | |
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