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| McDonald's Omega per Test Adattivo Computerizzato× | Teoria della risposta all'item (IRT)× | |
|---|---|---|
| Campo | Psicometria | Psicometria |
| Famiglia | Latent structure | Latent structure |
| Anno di origine≠ | 1999 (omega); CAT application 2000s–2010s | 1952–1968 |
| Ideatore≠ | Roderick P. McDonald (omega); CAT-omega application extended by IRT and psychometric reliability researchers | Frederic M. Lord (and Allan Birnbaum for the 2PL/3PL models) |
| Tipo≠ | Reliability coefficient for adaptive tests | Probabilistic measurement model |
| Fonte seminale≠ | McDonald, R. P. (1999). Test Theory: A Unified Treatment. Lawrence Erlbaum Associates. ISBN: 978-0805830408 | Lord, F. M. & Novick, M. R. (1968). Statistical Theories of Mental Test Scores. Addison-Wesley. link ↗ |
| Alias | CAT omega reliability, omega in adaptive testing, hierarchical omega for CAT, CAT composite reliability | IRT, latent trait theory, item characteristic curve theory, modern test theory |
| Correlati | 5 | 5 |
| Sintesi≠ | McDonald's omega adapted for computerized adaptive testing (CAT) quantifies the reliability of ability or trait estimates when different examinees answer different subsets of items. Unlike Cronbach's alpha, omega is grounded in a factor model, making it suitable for the heterogeneous item pools and variable test lengths that characterize adaptive administrations. | 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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