Notices of the American Mathematical Society

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Featured Articles and Invitations from the AMS

An Evaluation of Mathematics Competitions Using Item Response Theory

Jim Gleason

Item Response Theory (IRT) is a psychometric technique mathematically modeling the probability of the responses of individuals of varying ability to questions (items) on multiple-choice examinations. The author gives an introduction to IRT and explains how it can be used to assess mathematics tests from competitions to placement exams.