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| McDonald's Omega per Test Adattivo Computerizzato× | Confirmatory factor analysis× | |
|---|---|---|
| Campo | Psicometria | Psicometria |
| Famiglia | Latent structure | Latent structure |
| Anno di origine≠ | 1999 (omega); CAT application 2000s–2010s | 1969 |
| Ideatore≠ | Roderick P. McDonald (omega); CAT-omega application extended by IRT and psychometric reliability researchers | Karl Gustav Jöreskog |
| Tipo≠ | Reliability coefficient for adaptive tests | Hypothesis-testing latent variable model |
| Fonte seminale≠ | McDonald, R. P. (1999). Test Theory: A Unified Treatment. Lawrence Erlbaum Associates. ISBN: 978-0805830408 | Jöreskog, K. G. (1969). A general approach to confirmatory maximum likelihood factor analysis. Psychometrika, 34(2), 183–202. DOI ↗ |
| Alias | CAT omega reliability, omega in adaptive testing, hierarchical omega for CAT, CAT composite reliability | CFA, confirmatory FA, measurement model, restricted factor analysis |
| Correlati≠ | 5 | 4 |
| Sintesi≠ | McDonald's omega adapted for computerized adaptive testing (CAT) quantifies the reliability of ability or trait estimates when different examinees answer different subsets of items. Unlike Cronbach's alpha, omega is grounded in a factor model, making it suitable for the heterogeneous item pools and variable test lengths that characterize adaptive administrations. | 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. |
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