Abstract:By analyzing the fluctuations of ability estimates in testing, we first obtain the purely probabilistic fluctuations of ability estimates in a one-time testing under the condition that the students' abilities can be estimated by using the item response theory, and next, by taking into account such the probabilistic fluctuations, we find students who reveal the discrepancies of observed abilities between two separated testings. When such discrepancies of abilities are observed, test results are considered to be… Show more
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