Nonparametric IRT analysis

Leognano Ceraudo

Chapter 1: Item Response Theory

Item Response Theory

Item Response Theory is a system of models that define a correspondence between latent variables (unidimensional continuum construct) and their manifestations (items).

  • Focus of interest: Item-Level

  • Item-Type: Dichotomous and Ordered or Unordered Polytomous Items

  • Latent Trait (theta): Continuous and Normally Distribuited

  • Error term: It varies across items and latent trait

  • Item Response Function Shape: Sigmoid-Shape

Item Characteristic Curves

Item Characteristic Curves

Options Characteristic Curves