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| 頑健正準相関分析(Robust CCA)× | 頑健探索的因子分析× | |
|---|---|---|
| 分野≠ | 統計学 | 心理測定学 |
| 系統 | Latent structure | Latent structure |
| 提唱年≠ | 2003 | 2000–2003 |
| 提唱者≠ | Croux & Dehon (building on Hotelling's CCA framework) | Pison, Rousseeuw, Filzmoser, and Croux; Yuan and Bentler (parallel streams) |
| 種類≠ | Robust multivariate association | Latent variable / dimension reduction (robust) |
| 原典≠ | Croux, C. & Dehon, C. (2003). Robust estimation of the canonical correlations. Computational Statistics, 18(3), 555–569. link ↗ | Yuan, K.-H., & Bentler, P. M. (2000). Robust mean and covariance structure analysis through iteratively reweighted least squares. Psychometrika, 65(1), 43–58. DOI ↗ |
| 別名 | Robust CCA, RCCA, robust CCA, outlier-resistant canonical correlation | robust EFA, robust factor analysis, outlier-resistant factor analysis, EFA with robust estimation |
| 関連 | 4 | 4 |
| 概要≠ | Robust canonical correlation analysis extends classical CCA by replacing the standard sample covariance matrix with a robust estimator — such as the Minimum Covariance Determinant (MCD) or S-estimator — so that outlying observations do not distort the estimated canonical correlations and canonical variates between two sets of variables. | Robust exploratory factor analysis discovers the latent factor structure of a set of items using estimation methods that are resistant to outliers and violations of multivariate normality. It applies the same measurement model as standard EFA but replaces classical covariance estimation with robust counterparts — such as minimum covariance determinant or iteratively reweighted least squares — so that a small fraction of atypical cases cannot distort the recovered factor loadings. |
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