Standard procedures for estimating the item parameters
in IRT models make no use of auxiliary information
about test items, such as their format, their content,
or the skills they require for solution. This paper
describes a framework for exploiting this information,
thereby enhancing the precision and stability of item
parameter estimates and providing diagnostic information
about items’ operating characteristics. The principles
are illustrated in a context for which a relatively
simple approximation is available: empirical Bayesian
estimation of Rasch item difficulty parameters.
Index terms: Bayesian estimation, Collateral information,
Empirical Bayesian estimation, Exchangeability,
Hierarchical models, Item response theory, Linear logistic
test model, Rasch model item parameters.
Mislevy, Robert J. (1988). Exploiting auxiliary information about items in the estimation of Rasch item difficulty parameters. Applied Psychological Measurement, 12, 281-296. doi:10.1177/014662168801200306
Mislevy, Robert J..
Exploiting auxiliary information about items in the estimation of Rasch item difficulty parameters.
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