Abstract
Given a Masters partial credit item withn known step difficulties, conditions are stated for the existence of a set of (locally) independent Rasch binary items such that their raw score and the partial credit raw score have identical probability density functions. The conditions are those for the existence ofn positive values with predetermined elementary symmetric functions and include the requirement that then step difficulties form an increasing sequence.
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Huynh, H. On equivalence between a partial credit item and a set of independent Rasch binary items. Psychometrika 59, 111–119 (1994). https://doi.org/10.1007/BF02294270
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DOI: https://doi.org/10.1007/BF02294270