手法を比較
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| ロバスト因子分析× | 影響診断（Cook距離、DFFITS、レバレッジ）× | |
|---|---|---|
| 分野 | 統計学 | 統計学 |
| 系統 | Regression model | Regression model |
| 提唱年≠ | 2003 | 1977 |
| 提唱者≠ | Pison, Rousseeuw, Filzmoser & Croux | R. Dennis Cook (Cook's distance); Belsley, Kuh & Welsch (DFFITS, leverage) |
| 種類≠ | Robust latent-factor model | Regression diagnostic |
| 原典≠ | Pison, G., Rousseeuw, P. J., Filzmoser, P., & Croux, C. (2003). Robust factor analysis. Journal of Multivariate Analysis, 84(1), 145-172. DOI ↗ | Cook, R. D. (1977). Detection of Influential Observations in Linear Regression. Technometrics, 19(1), 15-18. DOI ↗ |
| 別名≠ | robust factor analysis, outlier-resistant factor analysis, MCD-based factor analysis, Robust Faktör Analizi | Cook's distance, DFFITS, leverage, influential observation detection |
| 関連 | 5 | 5 |
| 概要≠ | Robust Factor Analysis recovers the latent factor structure of multivariate continuous data while resisting the distorting pull of outliers. Introduced by Pison, Rousseeuw, Filzmoser and Croux (2003), it replaces the classical sample covariance with a robust estimator such as the Minimum Covariance Determinant (MCD) or an S-estimator before extracting factors. | Influence diagnostics are a family of post-fit measures that quantify how much each single observation affects a fitted regression. Cook's distance was introduced by R. Dennis Cook in 1977, with leverage and DFFITS formalised by Belsley, Kuh and Welsch in 1980, to flag the observations that most strongly pull the estimated coefficients. |
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