Abstract
Some theoretical relations are established between the score on a polytomous item and the total score on a set of Guttman dependent binary items. Conditions are derived under which these two scores are identically distributed. Application of the theoretical results to three well-known models for polytomous data yields, among others, the result that the score on a graded response item (Samejima, 1969) is never distributed as the total score on a set of independent binary Rasch items (Rasch, 1969).
Original language | English |
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Pages (from-to) | 39-61 |
Journal | British journal of mathematical & statistical psychology |
Volume | 52 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1999 |