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Title: Many Facet, Common Latent Trait Polytomous IRT Model and EM Algorithm
Authors: Atanasov, Dimitar
Keywords: item response theory
many facets
EM algorithm
Issue Date: 2011
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Pliska Studia Mathematica Bulgarica, Vol. 20, No 1, (2011), 5p-12p
Abstract: There are many areas of assessment where the level of performance can not be determined using ordinal, “objective” test. For example, there are aspects of writing language skills which should be subjectively qualified by judges based on some criteria. Usually such data is studied using the Many Facet Rasch Model. To address the problem with Item Response Theory (IRT) approach a Many Facet IRT model for polytomous item response in the case of common latent trait is presented. For estimation of the parameters of the model the EM-algorithm is derived.
Description: 2000 Mathematics Subject Classification: 91E45.
ISSN: 0204-9805
Appears in Collections:2011 Volume 20

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