Logistic response models with item interactions

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...

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Detalles Bibliográficos
Autor: Revuelta Menéndez, Javier
Tipo de recurso: artículo
Fecha de publicación:2011
País:España
Institución:Universidad Autónoma de Madrid
Repositorio:Biblos-e Archivo. Repositorio Institucional de la UAM
Idioma:inglés
OAI Identifier:oai:repositorio.uam.es:10486/665172
Acceso en línea:http://hdl.handle.net/10486/665172
https://dx.doi.org/10.1111/j.2044-8317.2010.02009.x
Access Level:acceso abierto
Palabra clave:Locally dependent items
Local independence
Logistic models
Item response theory
Psicología
Descripción
Sumario: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.