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| Longitudinal McDonald's Omega× | Bestätigende Faktorenanalyse (CFA)× | Cronbachs Alpha (Reliabilitätsanalyse)× | Retest-Reliabilität× | |
|---|---|---|---|---|
| Fachgebiet≠ | Psychometrie | Psychometrie | Statistik | Psychometrie |
| Familie | Latent structure | Latent structure | Latent structure | Latent structure |
| Entstehungsjahr≠ | 1999 (original omega); 2014 (longitudinal extension) | 1969 | 1951 | 1904 |
| Urheber≠ | McDonald (1999); extended to longitudinal contexts by Geldhof, Preacher, and Zyphur (2014) and subsequent authors | Karl Gustav Jöreskog | Lee J. Cronbach | Karl Pearson |
| Typ≠ | Reliability / internal consistency coefficient | Hypothesis-testing latent variable model | Reliability / internal consistency coefficient | Reliability estimate |
| Wegweisende Quelle≠ | McDonald, R. P. (1999). Test Theory: A Unified Treatment. Lawrence Erlbaum Associates. ISBN: 978-0805830(textbook) | 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 ↗ | Nunnally, J. C. & Bernstein, I. H. (1994). Psychometric Theory (3rd ed.). McGraw-Hill. ISBN: 978-0070478497 |
| Aliasnamen | longitudinal omega, omega longitudinal reliability, time-varying omega, repeated-measures omega | CFA, confirmatory FA, measurement model, restricted factor analysis | coefficient alpha, alpha reliability, internal consistency reliability, Güvenilirlik Analizi (Cronbach Alpha) | stability reliability, temporal stability, repeatability coefficient, TRT reliability |
| Verwandt≠ | 3 | 4 | 4 | 4 |
| Zusammenfassung≠ | Longitudinal McDonald's omega estimates scale reliability separately at each measurement occasion in a panel or repeated-measures study. By fitting a confirmatory factor model at each wave, it tracks how consistently a set of items measures its target construct over time, detecting erosion or improvement in measurement quality that a single omnibus reliability coefficient would obscure. | 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. | Test-retest reliability quantifies the temporal consistency of a measure by correlating scores obtained from the same participants on two separate occasions. It is a cornerstone of psychometric validation, directly indicating whether a scale or instrument yields stable scores when the underlying construct has not changed. |
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