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Model Rasch Berbilang Aras×Teori Gerak Balas Item (IRT)×
BidangPsikometrikPsikometrik
KeluargaLatent structureLatent structure
Tahun asal19971952–1968
PengasasAdams, Wilson & WuFrederic M. Lord (and Allan Birnbaum for the 2PL/3PL models)
JenisHierarchical item response modelProbabilistic measurement model
Sumber perintisAdams, 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 ↗Lord, F. M. & Novick, M. R. (1968). Statistical Theories of Mental Test Scores. Addison-Wesley. link ↗
Aliashierarchical Rasch model, random-effects Rasch model, multilevel IRT Rasch, MRCML modelIRT, latent trait theory, item characteristic curve theory, modern test theory
Berkaitan55
RingkasanThe 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.Item response theory models the probability that a respondent answers an item correctly (or endorses it) as a function of the respondent's latent trait level and the item's own statistical properties — difficulty, discrimination, and guessing. Unlike classical test theory, IRT places persons and items on the same scale, yielding measurement that is sample-independent for items and test-independent for persons.
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ScholarGateBandingkan kaedah: Multilevel Rasch Model · Item Response Theory. Dicapai 2026-06-18 daripada https://scholargate.app/ms/compare