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Direct linkMagis, David; Raiche, Gilles – Psychometrika, 2012
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…
Descriptors: Item Response Theory, Computation, Bayesian Statistics, Models
Frederickx, Sofie; Tuerlinckx, Francis; De Boeck, Paul; Magis, David – Journal of Educational Measurement, 2010
In this paper we present a new methodology for detecting differential item functioning (DIF). We introduce a DIF model, called the random item mixture (RIM), that is based on a Rasch model with random item difficulties (besides the common random person abilities). In addition, a mixture model is assumed for the item difficulties such that the…
Descriptors: Test Bias, Models, Test Items, Difficulty Level
