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| McDonald's Omega (ω) Reliabilitätskoeffizient× | Bestätigende Faktorenanalyse (CFA)× | Cronbachs Alpha (Reliabilitätsanalyse)× | |
|---|---|---|---|
| Fachgebiet≠ | Psychometrie | Psychometrie | Statistik |
| Familie | Latent structure | Latent structure | Latent structure |
| Entstehungsjahr≠ | 1999 | 1969 | 1951 |
| Urheber≠ | Roderick P. McDonald | Karl Gustav Jöreskog | Lee J. Cronbach |
| Typ≠ | Reliability coefficient / latent variable model | Hypothesis-testing latent variable model | Reliability / internal consistency coefficient |
| Wegweisende Quelle≠ | McDonald, R. P. (1999). Test Theory: A Unified Treatment. Lawrence Erlbaum Associates. ISBN: 978-0805830750 | Jöreskog, K. G. (1969). A general approach to confirmatory maximum likelihood factor analysis. Psychometrika, 34(2), 183–202. DOI ↗ | Cronbach, L. J. (1951). Coefficient alpha and the internal structure of tests. Psychometrika, 16(3), 297–334. DOI ↗ |
| Aliasnamen≠ | omega reliability, ω coefficient, omega total, omega hierarchical | CFA, confirmatory FA, measurement model, restricted factor analysis | coefficient alpha, alpha reliability, internal consistency reliability, Güvenilirlik Analizi (Cronbach Alpha) |
| Verwandt≠ | 6 | 4 | 4 |
| Zusammenfassung≠ | McDonald's omega is a factor-analysis-based reliability coefficient introduced by Roderick P. McDonald (1999) that quantifies the internal consistency of a composite score without requiring the restrictive assumption that all items contribute equally to the latent factor. It yields two complementary indices: ω_total, which captures overall reliability of the sum score, and ω_hierarchical (ωh), which reports how much of the composite's variance is explained specifically by a single general factor. | Confirmatory factor analysis tests a researcher-specified factor structure against observed data. Unlike exploratory approaches, the researcher decides in advance which indicators load on which latent factor, and the model is evaluated by how closely the implied covariance matrix reproduces the sample covariance matrix. CFA is central to scale validation, construct validity assessment, and measurement invariance testing. | Cronbach's alpha is a coefficient of internal consistency that quantifies the degree to which a set of items on a scale measures the same underlying construct. Introduced by Lee J. Cronbach in 1951, it remains the most widely reported reliability index in social-science, health, and educational research. |
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