The asymptotic standard errors of item/test response function estimates are derived by the delta method for the three-parameter logistic model. Using a similar method, the asymptotic standard errors of item, test, and score information function estimates are obtained. Numerical illustrations show that the response function estimates are rather stable in spite of the unstable item parameter estimates. However,the information function estimates are shown to be relatively unstable. These results suggest that the item/test response function estimates should be used rather than item parameter estimates for applications such as item response theory linking.
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