A Rasch Model for Partial Credit Scoring
1982/06/01 by Geoff N. Masters, Geoff N Masters · 3,786 citations
Decision Sciences · Economics, Econometrics and Finance · Mathematics · Psychology · #Computer science #Econometrics #Extension (predicate logic) #Item response theory #Latent variable #Latent variable model #Local independence #Mathematics #Polytomous Rasch model #Property (philosophy) #Psychology #Psychometric Methodologies and Testing #Psychometrics #Rasch model #Rating scale #Scale (ratio) #Spatial and Panel Data Analysis #Statistical Methods and Bayesian Inference #Statistics #Trait
paper · doi:10.1007/bf02296272
published in Psychometrika 47(2), 149-174 (Springer Science+Business Media)
openalex publication_date 1982/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract
A unidimensional latent trait model for responses scored in two or more ordered categories is developed. This “Partial Credit” model is a member of the family of latent trait models which share the property of parameter separability and so permit “specifically objective” comparisons of persons and items. The model can be viewed as an extension of Andrich's Rating Scale model to situations in which ordered response alternatives are free to vary in number and structure from item to item. The difference between the parameters in this model and the “category boundaries” in Samejima's Graded Response model is demonstrated. An unconditional maximum likelihood procedure for estimating the model parameters is developed.
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