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Multidimensional Item Response Theory×문항 반응 이론 (IRT)×
분야Education심리측정학
계열Latent structureLatent structure
기원 연도20091952–1968
창시자Mark Reckase; foundations in factor analysis of items (Bock, McDonald)Frederic M. Lord (and Allan Birnbaum for the 2PL/3PL models)
유형Item response model with multiple latent ability dimensionsProbabilistic measurement model
원전Reckase, 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 ↗
별칭MIRT, Multidimensional IRT, Compensatory MIRT, Bifactor IRTIRT, latent trait theory, item characteristic curve theory, modern test theory
관련45
요약Multidimensional 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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