A rating formulation for ordered response categories

Research output: Contribution to journalArticlepeer-review

1903 Citations (Scopus)


A rating response mechanism for ordered categories, which is related to the traditional threshold formulation but distinctively different from it, is formulated. In addition to the subject and item parameters two other sets of parameters, which can be interpreted in terms of thresholds on a latent continuum and discriminations at the thresholds, are obtained. These parameters are identified with the category coefficients and the scoring function of the Rasch model for polychotomous responses in which the latent trait is assumed uni-dimensional. In the case where the threshold discriminations are equal, the scoring of successive categories by the familiar assignment of successive integers is justified. In the case where distances between thresholds are also equal, a simple pattern of category coefficients is shown to follow.

Original languageEnglish
Pages (from-to)561-573
Number of pages13
Issue number4
Publication statusPublished - 1 Dec 1978
Externally publishedYes


Dive into the research topics of 'A rating formulation for ordered response categories'. Together they form a unique fingerprint.

Cite this