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| Porządkowa omega McDonalda× | Teoria odpowiedzi na pozycje (IRT)× | |
|---|---|---|
| Dziedzina | Psychometria | Psychometria |
| Rodzina | Latent structure | Latent structure |
| Rok powstania≠ | 2007 | 1952–1968 |
| Twórca≠ | Bruno D. Zumbo, Anne M. Gadermann, and Cornelia Zeisser (building on McDonald's 1999 omega framework) | Frederic M. Lord (and Allan Birnbaum for the 2PL/3PL models) |
| Typ≠ | Reliability coefficient | Probabilistic measurement model |
| Źródło pierwotne≠ | Zumbo, B. D., Gadermann, A. M., & Zeisser, C. (2007). Ordinal versions of coefficients alpha and theta as measures of internal consistency for Likert rating scales. Journal of Modern Applied Statistical Methods, 6(1), 21–29. DOI ↗ | Lord, F. M. & Novick, M. R. (1968). Statistical Theories of Mental Test Scores. Addison-Wesley. link ↗ |
| Inne nazwy | omega ordinal, ordinal omega, polychoric omega, omega for ordinal data | IRT, latent trait theory, item characteristic curve theory, modern test theory |
| Pokrewne≠ | 3 | 5 |
| Podsumowanie≠ | Ordinal McDonald's omega is a reliability coefficient designed for Likert-type and other ordinal rating scales. Unlike Cronbach's alpha, it bases its calculation on polychoric correlations among items — capturing the true latent relationships between ordinal responses — and uses factor-analytic loadings to estimate how much of the composite score variance is attributable to a common factor. | 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. |
| ScholarGateZbiór danych ↗ |
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