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

Published online by Cambridge University Press:  01 January 2025

Stefano Noventa ,
Luca Stefanutti  and
Giulio Vidotto
Stefano Noventa*
Affiliation:
Assessment Center, University of Verona
Luca Stefanutti
Affiliation:
FISSPA, University of Padova
Giulio Vidotto
Affiliation:
Department of General Psychology, University of Padova
*
Requests for reprints should be sent to Stefano Noventa, Assessment Center University of Verona, Verona, Italy. E-mail: stefano.noventa@univr.it
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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.

Keywords

Rasch modelitem response theorymost probable distribution
Type
Original Paper
Information
Psychometrika , Volume 79 , Issue 3 , July 2014 , pp. 377 - 402
Copyright
Copyright © 2013 The Psychometric Society

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