The Partial Credit Model

  • Geofferey N. Masters
  • Benjamin D. Wright


The Partial Credit Model (PCM) is a unidimensional model for the analysis of responses recorded in two or more ordered categories. In this sense, the model is designed for the same purpose as several other models in this book, including Samejima’s graded response model (Samejima, 1969). The PCM differs from the graded response model, however, in that it belongs to the Rasch family of models and so shares the distinguishing characteristics of that family: separable person and item parameters, sufficient statistics, and, hence, conjoint additivity. These features enable “specifically objective” comparisons of persons and items (Rasch, 1977) and allow each set of model parameters to be conditioned out of the estimation procedure for the other.


Item Parameter Partial Credit Item Response Model Partial Credit Model Grade Response Model 
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© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Geofferey N. Masters
  • Benjamin D. Wright

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