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A Dynamic Generalization Of The Rasch Model

Door: Verhelst, N.D., Glas, C.A.W. | 01-01-1991 By combining the common Rasch model with the concept of incomplete designs, the former can be made suited as a dynamic model...

Items in a test are considered to consists of a collection of conceptual items, one of which is presented to the
testee dependent on his preceding responses and/or the feedback (s)he got. It is shown that marginal maximum likelihood (MML) is suited as an estimation procedure, and the conditions are specified where conditional maximum likelihood estimates (CML) may be obtained. A hierarchic family of dynamic models is presented, and it is shown how to test special cases against more general ones. Furthermore, it is shown that the model presented here is a generalization of a class of mathematical learning models, known as Luce's
beta-model.

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