A two-dimensional IRT model is introduced for binary data in the presence of omitted responses. Its parameterization has the advantage to satisfy the following conditions: firstly, the tendency to omit depends on a person latent trait which is distinct from the usual latent ability; secondly, the model belongs to the Rasch family of models, guaranteeing the existence of non-trivial sufficient statistics for the parameters. An application to a real dataset is illustrated.
Generalizing the Rasch Model to account for omitting behaviour
BERTOLI BARSOTTI, Lucio;
2012-01-01
Abstract
A two-dimensional IRT model is introduced for binary data in the presence of omitted responses. Its parameterization has the advantage to satisfy the following conditions: firstly, the tendency to omit depends on a person latent trait which is distinct from the usual latent ability; secondly, the model belongs to the Rasch family of models, guaranteeing the existence of non-trivial sufficient statistics for the parameters. An application to a real dataset is illustrated.File allegato/i alla scheda:
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