Modeling Abilities in 3-IRT Models

Edilberto Cepeda & Josť Manuel PelŠez

 

Abstract

This paper considers situations where regression models are proposed to model abilities on three parameter logistic models. After a summary of the classical approach to estimate the item parameters and the abilities, we provided an exposition of the maximum likelihood method to estimate the regression parameters. We analyze how good these estimations are, using a simulated study, and we include an application.

 

Key words: Logistic models, Ability modeling, Item response theory.

 

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