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| McDonald's Omega (ω) Reliabilitätskoeffizient× | Bestätigende Faktorenanalyse (CFA)× | Cronbachs Alpha (Reliabilitätsanalyse)× | |
|---|---|---|---|
| Fachgebiet≠ | Psychometrie | Statistik | Statistik |
| Familie | Latent structure | Latent structure | Latent structure |
| Entstehungsjahr≠ | 1999 | 1969 | 1951 |
| Urheber≠ | Roderick P. McDonald | Karl Jöreskog | Lee J. Cronbach |
| Typ≠ | Reliability coefficient / latent variable model | Confirmatory latent variable model | Reliability / internal consistency coefficient |
| Wegweisende Quelle≠ | McDonald, R. P. (1999). Test Theory: A Unified Treatment. Lawrence Erlbaum Associates. ISBN: 978-0805830750 | Brown, T. A. (2015). Confirmatory Factor Analysis for Applied Research (2nd ed.). The Guilford Press. ISBN: 978-1462515363 | 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 | Doğrulayıcı Faktör Analizi (CFA), confirmatory factor analysis, measurement model | 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 whether a researcher-specified factor structure fits the observed data. Formalised by Karl Jöreskog in 1969, it is the measurement-model step within structural equation modelling and is the standard tool for validating the factorial structure of scales and questionnaires before comparing groups or estimating latent relationships. | 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. |
| ScholarGateDatensatz ↗ |
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