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Modelling sequentially scored item responses
Author(s) -
Akkermans Wies
Publication year - 2000
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1348/000711000159196
Subject(s) - property (philosophy) , variable (mathematics) , logistic regression , process (computing) , mathematics , polytomous rasch model , computer science , sequential analysis , statistics , econometrics , item response theory , psychometrics , mathematical analysis , philosophy , epistemology , operating system
The sequential model can be used to describe the variable resulting from a sequential scoring process. In this paper two more item response models are investigated with respect to their suitability for sequential scoring: the partial credit model and the graded response model. The investigation is carried out by first deriving a property of sequential scoring, which will be called item characteristic curve invariance, and then demonstrating that the partial credit model and the logistic graded response model do not accommodate this property. Therefore, when either of these two models is applied to sequentially scored variables, a specification error is made.