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.

An Analysis of Item Response Theory and Rasch Models Based on the Most Probable Distribution Method

Noventa, Stefano;
2014-01-01

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.
2014
Rasch model; Item response theory; Most probable distribution
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/710966
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