Polytomous item scores and Guttman dependence

W. Akkermans

doi:10.1348/000711099158955

Polytomous item scores and Guttman dependence

W. Akkermans

Research output: Contribution to journal › Article › Academic › peer-review

5 Citations (Scopus)

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
Pages (from-to)	39-61
Journal	British journal of mathematical & statistical psychology
Volume	52
Issue number	1
DOIs	https://doi.org/10.1348/000711099158955
Publication status	Published - 1999

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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).",

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