PARELLA: An IRT Model for Parallelogram Analysis
Parallelogram analysis was introduced by Coombs (1964, Chap. 15). In many respects it is similar to scalogram analysis (Guttman, 1950): Both models assume the existence of a unidimensional latent trait; both models assume that this trait is operationalized via a set of items indicative of different levels of this trait; both models assume that the item responses are completely determined by the location of person and item on the latent trait; both models assume that the item responses are dichotomous, that is, assume 0/1 scoring, indicating such dichotomies as incorrect/correct, disagree/agree, or, dislike/like; and both models are designed to infer the order of the persons as well as the items along the latent trait of interest from the item-responses.
KeywordsItem Response Item Response Theory Latent Trait Political Attitude Proximity Relation
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