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| ロバスト確証的因子分析× | 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≠ | 1984–1994 | 2000–2003 |
| 提唱者≠ | Satorra & Bentler (robust SE/chi-square corrections); Browne (ADF estimator) | Pison, Rousseeuw, Filzmoser, and Croux; Yuan and Bentler (parallel streams) |
| 種類≠ | Confirmatory latent variable model with robust estimation | Latent variable / dimension reduction (robust) |
| 原典≠ | Satorra, A. & Bentler, P. M. (1994). Corrections to test statistics and standard errors in covariance structure analysis. In A. von Eye & C. C. Clogg (Eds.), Latent variables analysis: Applications for developmental research (pp. 399–419). Sage. 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 CFA, CFA with robust standard errors, Satorra-Bentler CFA, non-normal CFA | robust EFA, robust factor analysis, outlier-resistant factor analysis, EFA with robust estimation |
| 関連≠ | 6 | 4 |
| 概要≠ | Robust confirmatory factor analysis fits a pre-specified factor structure to observed data while correcting standard errors and goodness-of-fit statistics for violations of multivariate normality. It is the preferred variant of CFA whenever Likert-type, skewed, or kurtotic indicators make the classical normal-theory estimator unreliable. | 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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