[en] This paper focuses on two estimators of ability with logistic item response theory models: the
Bayesian modal (BM) estimator and the weighted likelihood (WL) estimator. For the BM estimator, Jeffreys’ prior distribution is considered, and the corresponding estimator is referred to as the Jeffreys modal (JM) estimator. It is established that under the three-parameter logistic model, the JM estimator returns larger estimates than the WL estimator. Several implications of this result are outlined.
Disciplines :
Mathematics
Author, co-author :
Magis, David ; Université de Liège - ULiège > Département de mathématique > Statistique mathématique
Raîche, Gilles
Language :
English
Title :
On the relationships between Jeffreys modal and weighted likelihood estimation of ability under logistic IRT models
Publication date :
2012
Journal title :
Psychometrika
ISSN :
0033-3123
eISSN :
1860-0980
Publisher :
Psychonomic Society, Research Triangle Park, United States - Virginia
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Bibliography
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