Methods for Estimating Item-Score Reliability

Applied Psychological Measurement
Eva A O ZijlmansKlaas Sijtsma

Abstract

Reliability is usually estimated for a test score, but it can also be estimated for item scores. Item-score reliability can be useful to assess the item's contribution to the test score's reliability, for identifying unreliable scores in aberrant item-score patterns in person-fit analysis, and for selecting the most reliable item from a test to use as a single-item measure. Four methods were discussed for estimating item-score reliability: the Molenaar-Sijtsma method (method MS), Guttman's method λ 6 , the latent class reliability coefficient (method LCRC), and the correction for attenuation (method CA). A simulation study was used to compare the methods with respect to median bias, variability (interquartile range [IQR]), and percentage of outliers. The simulation study consisted of six conditions: standard, polytomous items, unequal α parameters, two-dimensional data, long test, and small sample size. Methods MS and CA were the most accurate. Method LCRC showed almost unbiased results, but large variability. Method λ 6 consistently underestimated item-score reliabilty, but showed a smaller IQR than the other methods.

References

Jan 26, 2005·Psychological Reports·Paul Ginns, Simon Barrie
Apr 28, 2006·Epidemiology·Alyson J LittmanAlan R Kristal
Jan 1, 1945·Psychometrika·L GUTTMAN
Dec 3, 2014·Journal of General Internal Medicine·Emily D DolanChristian D Helfrich
Dec 14, 2018·Educational and Psychological Measurement·Eva A O ZijlmansKlaas Sijtsma

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Citations

Jan 29, 2019·Frontiers in Psychology·Eva A O ZijlmansKlaas Sijtsma
Feb 13, 2020·Frontiers in Psychology·Manuel Martí-VilarLucas Marcelo Rodriguez
May 22, 2021·Frontiers in Psychology·Andrew T JebbLouis Tay
Sep 1, 2021·Journal of Clinical Epidemiology·Pip GriffithsJakob Bue Bjorner

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