Reference : An iterative maximum a posteriori estimation of proficiency level to detect multiple ...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/2268/31760
An iterative maximum a posteriori estimation of proficiency level to detect multiple local likelihood maxima
English
[fr] Estimation itérative de l'habileté par maximum a posteriori pour détecter les les maxima de vraisemblance locaux
Magis, David mailto [Université de Liège - ULg > Département de mathématique > Statistique mathématique >]
Raîche, Gilles mailto [Université du Québec à Montréal > Education et pédagogie > > >]
2010
Applied Psychological Measurement
SAGE Publications
34
75-90
Yes (verified by ORBi)
International
0146-6216
[en] maximum likelihood ; Bayesian estimation ; iterative MAP
[en] In this article the authors focus on the issue of the nonuniqueness of the maximum likelihood
(ML) estimator of proficiency level in item response theory (with special attention to logistic
models). The usual maximum a posteriori (MAP) method offers a good alternative within
that framework; however, this article highlights some drawbacks of its use. The authors then
propose an iteratively based MAP estimator (IMAP), which can be useful in detecting multiple
local likelihood maxima. The efficiency of the IMAP estimator is studied and is compared
to the ML and MAP methods by means of a simulation study.
http://hdl.handle.net/2268/31760

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