Item response theory: A basic concept

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Item Response Theory: What It Is and How You Can Use the ...

The model that is specified in the preceding equation is called the multidimensional graded response model. When the responses are binary and there is only one latent factor, this model reduces to the two-parameter model, which can be expressed as y ij D j iC ij p ij DPr.u ij D1/DPr.y ij > j/ A different parameterization for the two-parameter ...

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Cournot’s model of oligopoly

best response of candidate i to xj. • xj > m: symmetrically, every position between 2m−xj and xj is a best response of candidate i to xj. • xj = m: if candidate i choose xi = m she ties for first place; if she chooses any other position she loses. Thus m is the unique best response of candidate i …

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A Generalized Linear Model for Binomial Response Data

Now suppose that instead of a Bernoulli response, we have a binomial response for each unit in an experiment or an observational study. As an example, consider the trout data set discussed on page 669 of The Statistical Sleuth, 3rd edition, by Ramsey and Schafer. Five doses of toxic substance were assigned to a

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