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As a main alternative to overcome theses limitations, the Item Response Theory assumes that the probability of a specified score of a person on an item is a function of the person’s ability and the item difficulty [15]: Pr(Xni=x)=f(βn,τki), where Xni = x ∈ {0, 1, …, mi} is an integer random variable for item i where mi is the maximum score, βn corresponds to the ability parameter of person n and τki corresponds to the difficulty to obtain the score k for the item i.
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