title: An analysis of item response theory and Rasch models based on the most probable distribution method.
abstract: The most probable distribution method is applied to derive the logistic model as the distribution accounting for the maximum number of possible outcomes in a dichotomous test while introducing latent traits and item characteristics as constraints to the system. The item response theory logistic models, with a particular focus on the one-parameter logistic model, or Rasch model, and their properties and assumptions, are discussed for both infinite and finite populations.
authors.affiliation: Assessment Center, University of Verona, Verona, Italy, stefano.noventa@univr.it.
authors.forename: Stefano
authors.initials: S
authors.lastname: Noventa
authors.forename: Luca
authors.initials: L
authors.lastname: Stefanutti
authors.forename: Giulio
authors.initials: G
authors.lastname: Vidotto
mesh_terms: D006801:Humans; D011594:Psychometrics / Q000379:methods*; D013223:Statistics as Topic / Q000379:methods*