Abstract
Given known item parameters, the bootstrap method can be used to determine the statistical accuracy of ability estimates in item response theory. Through a Monte Carlo study, the method is evaluated as a way of approximating the standard error and confidence limits for the maximum likelihood estimate of the ability parameter, and compared to the use of the theoretical standard error and confidence limits developed by Lord. At least for short tests, the bootstrap method yielded better estimates than the corresponding theoretical values.
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Liou, M., Yu, LC. Assessing statistical accuracy in ability estimation: A bootstrap approach. Psychometrika 56, 55–67 (1991). https://doi.org/10.1007/BF02294585
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DOI: https://doi.org/10.1007/BF02294585