Abstract

To assess the contribution of the partial knowledge of examinees to the scores of multiple-choice tests, we have proposed two mathematical models, the Binary-model and the Terminal model. These models both were based on the probability with which an examinee recognizes a choice correctly, and on the arrangement of choices. As an application of these models, the distributions of scores were given for the one-best-response type and the two-responses type of questions of the national board examinations for the medical and dental practices. The distributions of scores by these two models were compared.

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