Residualanalysis in the polytomous rasch model

Psychometrika ◽  
1995 ◽  
Vol 60 (3) ◽  
pp. 375-393 ◽  
Author(s):  
Erling B. Andersen
Keyword(s):  
Rasch Model ◽  
Polytomous Rasch Model

Conditions for rasch-dichotomizability of the unidimensional polytomous rasch model

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

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

2014 ◽  
Vol 17 ◽  
Author(s):  
Stefano Noventa ◽  
Luca Stefanutti ◽  
Giulio Vidotto
Keyword(s):  
Rasch Model ◽  
Statistical Physics ◽  
Distribution Method ◽  
Principle Of Maximum Entropy ◽  
Probable Distribution ◽  
Item Characteristics ◽  
Latent Traits ◽  
Principle Of Maximum ◽  
Most Probable Distribution ◽  
Polytomous Rasch Model

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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