Logistic response models with item interactions
Author
Revuelta Menéndez, Javier
Entity
UAM. Departamento de Psicología Social y MetodologíaPublisher
British Psychological SocietyDate
2011-01-13Citation
10.1111/j.2044-8317.2010.02009.x
British Journal of Mathematical and Statistical Psychology 65.1 (2012): 32-55
ISSN
0007-1102 (print); 2044-8317 (online)DOI
10.1111/j.2044-8317.2010.02009.xEditor's Version
http://dx.doi.org/10.1111/j.2044-8317.2010.02009.xSubjects
Locally dependent items; Local independence; Logistic models; Item response theory; PsicologíaRights
© 2011 The British Psychological SocietyAbstract
Items that are clustered according to shared content may violate the principle of conditional
independence commonly used in item response theory. This paper investigates the capabilities of a logistic item response model in relation to locally dependent item responses. The model includes main effect and interaction parameters that are computed as linear functions of the latent trait. The paper explains the interpretation of the parameters, the maximum likelihood estimation algorithm, the information matrix and some results concerning parameter identifiability. The problem of over-fitting the data is addressed in a simulation study, and two real data examples are described to illustrate the approach, one from the context of a sample survey and the other from ability testing using testlets.
Files in this item
Google Scholar:Revuelta Menéndez, Javier
This item appears in the following Collection(s)
Related items
Showing items related by title, author, creator and subject.