How should multiple choice tests be scored and graded, in particular when students are allowed to check several boxes to convey partial knowledge? Many strategies may seem reasonable, but we demonstrate that five self-evident axioms are sufficient to determine completely the correct strategy. We also discuss how to measure robustness of the obtained grades. Our results have practical advantages and also suggest criteria for designing multiple choice questions.
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Frandsen et al. (2006) studied this question.
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