On the relationships between sum score based estimation and joint maximum likelihood estimation

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dc.contributor.authorDel Pino, Guido
dc.contributor.authorMartin, Ernesto San
dc.contributor.authorGonzalez, Jorge
dc.contributor.authorDe Boeck, Paul
dc.date.accessioned2025-01-21T01:05:09Z
dc.date.available2025-01-21T01:05:09Z
dc.date.issued2008
dc.description.abstractThis paper analyzes the sum score based (SSB) formulation of the Rasch model, where items and sum scores of persons are considered as factors in a logit model. After reviewing the evolution leading to the equality between their maximum likelihood estimates, the SSB model is then discussed from the point of view of pseudo-likelihood and of misspecified models. This is then employed to provide new insights into the origin of the known inconsistency of the difficulty parameter estimates in the Rasch model. The main results consist of exact relationships between the estimated standard errors for both models; and, for the ability parameters, an upper bound for the estimated standard errors of the Rasch model in terms of those for the SSB model, which are more easily available.
dc.fuente.origenWOS
dc.identifier.doi10.1007/s11336-007-9023-2
dc.identifier.eissn1860-0980
dc.identifier.issn0033-3123
dc.identifier.urihttps://doi.org/10.1007/s11336-007-9023-2
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/95836
dc.identifier.wosidWOS:000254405600008
dc.issue.numero1
dc.language.isoen
dc.pagina.final151
dc.pagina.inicio145
dc.revistaPsychometrika
dc.rightsacceso restringido
dc.subjectRasch model
dc.subjectstandard error
dc.subjectinformation matrix
dc.subjectpseudo-likelihood
dc.titleOn the relationships between sum score based estimation and joint maximum likelihood estimation
dc.typeartículo
dc.volumen73
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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