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 behavior

PUNZO, ANTONIO
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.
2012
Rasch model; Nonignorable missing data; Multidimensional IRT
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/13547
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