A Derivation of the Polytomous Rasch Model Based on the Most Probable Distribution Method

Author:

Noventa Stefano,Stefanutti Luca,Vidotto Giulio

Abstract

AbstractBoltzmann’s most probable distribution method is applied to derive the Polytomous Rasch model as the distribution accounting for the maximum number of possible outcomes in a test while introducing latent traits, item characteristics, and thresholds as constraints to the system. Affinities and similarities of the present result with other derivations of the model are discussed in light of the conceptual frameworks of statistical physics and of the principle of maximum entropy.

Publisher

Cambridge University Press (CUP)

Subject

Linguistics and Language,General Psychology,Language and Linguistics

Reference31 articles.

1. The Derivation of Polytomous Rasch Models

2. The Polytomous Rasch Model within the Class of Generalized Linear Symmetry Models

3. An analysis of Item Response Theory and Rasch Models based on the most probable distribution method;Noventa;Psychometrika,2013

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