Violations of the Assumption of Independence II—The Polytomous Rasch Model

Author(s):  
David Andrich ◽  
Ida Marais
Psychometrika ◽  
1995 ◽  
Vol 60 (3) ◽  
pp. 375-393 ◽  
Author(s):  
Erling B. Andersen

Psychometrika ◽  
1989 ◽  
Vol 54 (2) ◽  
pp. 317-332 ◽  
Author(s):  
Edward E. Roskam ◽  
Paul G. W. Jansen

2014 ◽  
Vol 17 ◽  
Author(s):  
Stefano Noventa ◽  
Luca Stefanutti ◽  
Giulio Vidotto

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.


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