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| ロバストなマクドナルドのオメガ× | 確認的因子分析（CFA）× | |
|---|---|---|
| 分野 | 心理測定学 | 心理測定学 |
| 系統 | Latent structure | Latent structure |
| 提唱年≠ | 1999 (omega); robust variant formalized in 2000s–2010s | 1969 |
| 提唱者≠ | Roderick P. McDonald (omega); robust extension via robust SEM estimators (MLR, DWLS) | Karl Gustav Jöreskog |
| 種類≠ | Reliability coefficient | Hypothesis-testing latent variable model |
| 原典≠ | 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 ↗ |
| 別名 | robust omega, omega total (robust), robust omega-total, robust composite reliability | CFA, confirmatory FA, measurement model, restricted factor analysis |
| 関連 | 4 | 4 |
| 概要≠ | Robust McDonald's omega estimates the internal consistency reliability of a composite scale using factor-analytic loadings obtained through robust estimation methods (such as MLR or DWLS). Unlike standard omega or Cronbach's alpha, it remains accurate when item distributions are non-normal, skewed, or when the sample contains influential outliers — conditions common in applied psychological and educational measurement. | 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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