Abstract
Item response theory posits “local independence,” or conditional independence of item responses given item parameters and examinee proficiency parameters. The usual definition of local independence, however, addresses the context of fixed tests, and initially appears to yield incorrect response-pattern probabilities in the context of adaptive testing. The paradox is resolved by introducing additional notation to deal with the item selection mechanism.
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We are grateful to Charlie Lewis, Ming-Mei Wang, and Pao-Kuei Wu for discussions on this topic, and to the Editor, the reviewers, and Howard Wainer for helpful comments on an earlier version of the paper. The first author's work was supported in part by the National Center for Research on Evaluation, Standards, Student Testing (CRESST), Educational Research and Development Program, cooperative agreement number R117G10027 and CFDA catalog number 84.117G, as administered by the Office of Educational Research and Improvement, U.S. Department of Education.
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Mislevy, R.J., Chang, HH. Does adaptive testing violate local independence?. Psychometrika 65, 149–156 (2000). https://doi.org/10.1007/BF02294370
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DOI: https://doi.org/10.1007/BF02294370