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Phân tích nhân tố mạnh mẽ×Chẩn đoán ảnh hưởng (Khoảng cách Cook, DFFITS, Đòn bẩy)×Phân tích thành phần chính×
Lĩnh vựcThống kêThống kêHọc máy
HọRegression modelRegression modelMachine learning
Năm ra đời200319772002
Người khởi xướngPison, Rousseeuw, Filzmoser & CrouxR. Dennis Cook (Cook's distance); Belsley, Kuh & Welsch (DFFITS, leverage)Jolliffe, I.T. (textbook); Pearson & Hotelling (origins)
LoạiRobust latent-factor modelRegression diagnosticUnsupervised dimensionality reduction
Công trình gốcPison, 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 ↗Jolliffe, I.T. (2002). Principal Component Analysis (2nd ed.). Springer. DOI ↗
Tên gọi khácrobust factor analysis, outlier-resistant factor analysis, MCD-based factor analysis, Robust Faktör AnaliziCook's distance, DFFITS, leverage, influential observation detectionTemel Bileşenler Analizi (PCA), PCA, principal components analysis, Karhunen-Loève transform
Liên quan553
Tóm tắtRobust 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.Principal Component Analysis (PCA) is an unsupervised dimensionality-reduction method — given its modern textbook treatment by Ian Jolliffe (2002) — that compresses high-dimensional data into fewer dimensions while preserving the maximum possible variance. It re-expresses correlated variables as a small set of uncorrelated principal components ordered by how much of the data's variation each one captures.
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ScholarGateSo sánh phương pháp: Robust Factor Analysis · Influence Diagnostics · Principal Component Analysis. Truy cập ngày 2026-06-18 từ https://scholargate.app/vi/compare