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| Robust McDonald's Omega× | Teoria de Resposta a l'Ítem (TRI)× | |
|---|---|---|
| Camp | Psicometria | Psicometria |
| Família | Latent structure | Latent structure |
| Any d'origen≠ | 1999 (omega); robust variant formalized in 2000s–2010s | 1952–1968 |
| Autor original≠ | Roderick P. McDonald (omega); robust extension via robust SEM estimators (MLR, DWLS) | Frederic M. Lord (and Allan Birnbaum for the 2PL/3PL models) |
| Tipus≠ | Reliability coefficient | Probabilistic measurement model |
| Font seminal≠ | 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 ↗ |
| Àlies | robust omega, omega total (robust), robust omega-total, robust composite reliability | IRT, latent trait theory, item characteristic curve theory, modern test theory |
| Relacionats≠ | 4 | 5 |
| Resum≠ | Robust McDonald's omega estimates the internal consistency reliability of a composite scale using factor-analytic loadings obtained through robust estimation methods (such as MLR or DWLS). Unlike standard omega or Cronbach's alpha, it remains accurate when item distributions are non-normal, skewed, or when the sample contains influential outliers — conditions common in applied psychological and educational measurement. | 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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