[en] In a computerized adaptive test (CAT), we seek an acceptably accurate trait (θ) level estimate using an optimal number of items. Bayesian estimation methods like MAP and EAP are often used to compute that estimate. Unfortunately, with such methods, decreasing the number of items generates bias whenever the true θ level differs significantly from the a priori estimate. Adaptive versions of the maximum a posteriori and expected a posteriori estimation methods are proposed to reduce this bias. These AMAP and AEAP methods adapt the a priori values used in the estimation function according to the previously computed θ estimate obtained from the previous administered item. The performance of AMAP and AEAP is evaluated in a CAT context.
Disciplines :
Mathematics
Author, co-author :
Raîche, Gilles
Blais, Jean-Guy
Magis, David ; Université de Liège - ULiège > Département de mathématique > Statistique mathématique
Language :
English
Title :
Adaptive estimators of trait level in adaptive testing: Some proposals
Alternative titles :
[fr] Estimateurs adaptatifs du niveau d'habileté en testing adaptatif: quelques propositions
Publication date :
June 2007
Event name :
Graduate Management Admission Council Conference on Computerized Adaptive Testing (GMAC)
Event place :
Minneapolis (MN), United States
Event date :
juin 2007
Audience :
International
Main work title :
Proceedings of the 2007 GMAC Conference on Computerized Adaptive Testing
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