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Multidimensional Item Response Theory×Item Response Theory (IRT)×
ValdkondEducationPsühhomeetria
PerekondLatent structureLatent structure
Tekkeaasta20091952–1968
LoojaMark Reckase; foundations in factor analysis of items (Bock, McDonald)Frederic M. Lord (and Allan Birnbaum for the 2PL/3PL models)
TüüpItem response model with multiple latent ability dimensionsProbabilistic measurement model
AlgallikasReckase, M. D. (2009). Multidimensional Item Response Theory. Springer. DOI ↗Lord, F. M. & Novick, M. R. (1968). Statistical Theories of Mental Test Scores. Addison-Wesley. link ↗
RööpnimetusedMIRT, Multidimensional IRT, Compensatory MIRT, Bifactor IRTIRT, latent trait theory, item characteristic curve theory, modern test theory
Seotud45
KokkuvõteMultidimensional item response theory (MIRT) generalizes IRT to tests that measure more than one latent ability at once. Instead of a single ability θ, each examinee is characterized by a vector of abilities, and each item by a vector of discriminations indicating how strongly it taps each dimension. MIRT unites the logic of item response theory with the structure of factor analysis, letting analysts model, for example, that a word-problem item draws on both reading and mathematics. Synthesized in Reckase's authoritative treatment, it underlies the analysis of complex, multi-skill assessments.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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ScholarGateVõrdle meetodeid: Multidimensional Item Response Theory · Item Response Theory. Loetud 2026-06-25 aadressilt https://scholargate.app/et/compare