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Analisis Faktor Robust×Analisis Faktor×Diagnostik Pengaruh (Jarak Cook, DFFITS, Leverage)×Analisis Komponen Utama×Estimasi Kovarians Robust (MCD)×
BidangStatistikaStatistika PenelitianStatistikaPembelajaran MesinStatistika
KeluargaRegression modelProcess / pipelineRegression modelMachine learningRegression model
Tahun asal20031931197720021999
PencetusPison, Rousseeuw, Filzmoser & CrouxLouis Leon ThurstoneR. Dennis Cook (Cook's distance); Belsley, Kuh & Welsch (DFFITS, leverage)Jolliffe, I.T. (textbook); Pearson & Hotelling (origins)Rousseeuw; Rousseeuw & Van Driessen (Fast-MCD)
TipeRobust latent-factor modelMethodRegression diagnosticUnsupervised dimensionality reductionRobust multivariate location-scatter estimator
Sumber perintisPison, G., Rousseeuw, P. J., Filzmoser, P., & Croux, C. (2003). Robust factor analysis. Journal of Multivariate Analysis, 84(1), 145-172. DOI ↗Thurstone, L. L. (1947). Multiple Factor Analysis. University of Chicago Press. 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 ↗Rousseeuw, P. J. & Van Driessen, K. (1999). A Fast Algorithm for the Minimum Covariance Determinant Estimator. Technometrics, 41(3), 212-223. DOI ↗
Aliasrobust factor analysis, outlier-resistant factor analysis, MCD-based factor analysis, Robust Faktör AnaliziEFA, CFA, latent variable modelingCook's distance, DFFITS, leverage, influential observation detectionTemel Bileşenler Analizi (PCA), PCA, principal components analysis, Karhunen-Loève transformminimum covariance determinant, MCD estimator, robust covariance estimation, Robust Kovaryans Tahmini (MCD)
Terkait53534
RingkasanRobust 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.Factor analysis is a statistical technique for identifying latent (unobserved) dimensions underlying observed variables, developed by Louis Leon Thurstone in the 1930s and formalized by Jöreskog (1969). Exploratory factor analysis (EFA) discovers unknown factor structure from data; confirmatory factor analysis (CFA) tests hypothesized relationships between observed and latent variables. Essential in psychometrics (test development), organizational research (measuring constructs like leadership style), and biomedicine (identifying disease subtypes), factor analysis reduces dimensionality while revealing conceptual organization in multivariate data.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.Robust Covariance via the Minimum Covariance Determinant (MCD) estimates a multivariate mean vector and covariance matrix that are not distorted by outliers. It was made practical by the Fast-MCD algorithm of Rousseeuw and Van Driessen (1999), building on Rousseeuw's earlier work on robust estimation.
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ScholarGateBandingkan metode: Robust Factor Analysis · Factor Analysis · Influence Diagnostics · Principal Component Analysis · Robust Covariance (MCD). Diakses 2026-06-17 dari https://scholargate.app/id/compare