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| Multidimensional Item Response Theory× | Vastausfunktioiden teoria (IRT)× | |
|---|---|---|
| Tieteenala≠ | Education | Psykometriikka |
| Menetelmäperhe | Latent structure | Latent structure |
| Syntyvuosi≠ | 2009 | 1952–1968 |
| Kehittäjä≠ | Mark Reckase; foundations in factor analysis of items (Bock, McDonald) | Frederic M. Lord (and Allan Birnbaum for the 2PL/3PL models) |
| Tyyppi≠ | Item response model with multiple latent ability dimensions | Probabilistic measurement model |
| Alkuperäislähde≠ | Reckase, 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 ↗ |
| Rinnakkaisnimet | MIRT, Multidimensional IRT, Compensatory MIRT, Bifactor IRT | IRT, latent trait theory, item characteristic curve theory, modern test theory |
| Liittyvät≠ | 4 | 5 |
| Tiivistelmä≠ | Multidimensional 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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