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다수준 라쉬 모형×차별 문항 기능(Differential Item Functioning, DIF)×
분야심리측정학심리측정학
계열Latent structureLatent structure
기원 연도19971970s–1993
창시자Adams, Wilson & WuWilliam H. Angoff and colleagues (ETS); systematized by Holland & Wainer
유형Hierarchical item response modelItem-level bias detection
원전Adams, R. J., Wilson, M. & Wu, M. (1997). Multilevel item response models: An approach to errors in variables regression. Journal of Educational and Behavioral Statistics, 22(1), 47–76. DOI ↗Holland, P. W. & Wainer, H. (Eds.) (1993). Differential Item Functioning. Lawrence Erlbaum Associates. ISBN: 978-0805809589
별칭hierarchical Rasch model, random-effects Rasch model, multilevel IRT Rasch, MRCML modelDIF, item bias analysis, measurement non-equivalence, item-level measurement bias
관련55
요약The multilevel Rasch model extends the standard Rasch model to data with a nested structure — for example, students within classrooms within schools — by embedding person ability parameters inside a hierarchical linear model. It yields item difficulty estimates on a logit scale while simultaneously partitioning person-ability variance across cluster levels and correcting standard errors for non-independence.Differential item functioning identifies test or survey items that behave differently for examinees from different groups — such as gender, ethnicity, or language background — after controlling for the underlying ability or trait being measured. DIF analysis is essential for fairness evaluation in educational testing and psychological scale development.
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