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다수준 라쉬 모형×Rasch 모형×
분야심리측정학심리측정학
계열Latent structureLatent structure
기원 연도19971960
창시자Adams, Wilson & WuGeorg Rasch
유형Hierarchical item response modelItem Response Theory / Latent trait model
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 ↗Rasch, G. (1960). Probabilistic Models for Some Intelligence and Attainment Tests. Danish Institute for Educational Research, Copenhagen. link ↗
별칭hierarchical Rasch model, random-effects Rasch model, multilevel IRT Rasch, MRCML model1PL IRT, one-parameter logistic model, Rasch Modeli — 1PL IRT, 1PL model
관련56
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.The Rasch model, introduced by Georg Rasch in 1960, is the simplest member of the Item Response Theory (IRT) family. It assigns a single difficulty parameter to each test item and places both item difficulties and person abilities on the same logit scale, enabling direct, sample-independent comparison of items and persons.
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