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Daudzgrupu Raša modelis×Vienuma atbildes teorija (IRT)×
NozarePsihometrijaPsihometrija
SaimeLatent structureLatent structure
Izcelsmes gads1960 (Rasch); 1980s–1990s (multi-group extensions)1952–1968
AutorsGeorg Rasch (single-group); extended to multi-group applications by Fischer, Molenaar, and othersFrederic M. Lord (and Allan Birnbaum for the 2PL/3PL models)
TipsItem response model / measurement invariance testProbabilistic measurement model
PirmavotsFischer, G. H. & Molenaar, I. W. (Eds.) (1995). Rasch Models: Foundations, Recent Developments, and Applications. Springer. ISBN: 978-0387944296Lord, F. M. & Novick, M. R. (1968). Statistical Theories of Mental Test Scores. Addison-Wesley. link ↗
Citi nosaukumiMG-Rasch, Rasch measurement invariance, multi-group 1PL IRT, cross-group Rasch analysisIRT, latent trait theory, item characteristic curve theory, modern test theory
Saistītās65
KopsavilkumsThe multi-group Rasch model fits the one-parameter logistic item response model simultaneously across two or more distinct groups, testing whether item difficulty parameters are invariant across groups. It is the primary psychometric tool for establishing that a scale measures the same latent trait with the same metric in each group, a prerequisite for meaningful score comparisons.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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ScholarGateSalīdzināt metodes: Multi-group Rasch model · Item Response Theory. Izgūts 2026-06-18 no https://scholargate.app/lv/compare