Item Response Theory Observed-Score Kernel Equating

Björn Andersson () and Marie Wiberg ()
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Björn Andersson: Beijing Normal University
Marie Wiberg: Umeå University

Psychometrika, 2017, vol. 82, issue 1, No 3, 48-66

Abstract: Abstract Item response theory (IRT) observed-score kernel equating is introduced for the non-equivalent groups with anchor test equating design using either chain equating or post-stratification equating. The equating function is treated in a multivariate setting and the asymptotic covariance matrices of IRT observed-score kernel equating functions are derived. Equating is conducted using the two-parameter and three-parameter logistic models with simulated data and data from a standardized achievement test. The results show that IRT observed-score kernel equating offers small standard errors and low equating bias under most settings considered.

Keywords: observed-score equating; item response theory; equipercentile equating; standard errors; NEAT design (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s11336-016-9528-7

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