A Nonlinear Mixed Model Framework for Item Response Theory

  • Rijmen F
  • Tuerlinckx F
  • Boeck P
 et al. 
  • 7


    Mendeley users who have this article in their library.
  • N/A


    Citations of this article.


Mixed models take the dependency between observations based on the same cluster into account by introducing 1 or more random effects. Common item response theory (IRT) models introduce latent person variables to model the dependence between responses of the same participant. Assuming a distribution for the latent variables, these IRT models are formally equivalent with nonlinear mixed models. It is shown how a variety of IRT models can be formulated as particular instances of nonlinear mixed models. The unifying framework offers the advantage that relations between different IRT models become explicit and that it is rather straightforward to see how existing IRT models can be adapted and extended. The approach is illustrated with a self-report study on anger.

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in


  • Frank Rijmen

  • Francis Tuerlinckx

  • Paul De Boeck

  • Peter Kuppens

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free