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On the Relationships Between Jeffreys Modal and Weighted Likelihood Estimation of Ability Under Logistic IRT Models |
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| Authors: | David Magis Gilles Ra?che |
| Affiliation: | 1. Department of Mathematics (B37), University of Li??ge, Grande Traverse 12, 4000, Li??ge, Belgium 2. K.U. Leuven, Leuven, Belgium 3. D??partement d????ducation et p??dagogie, Universit?? du Qu??bec ?? Montr??al, C.P. 8888, succ. Centre-Ville, Montr??al, QC, H3C 3P8, Canada |
| Abstract: | 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. |
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