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Robustní faktorová analýza×Faktorová analýza×Robustní odhad kovariance (MCD)×
OborStatistikaStatistika ve výzkumuStatistika
RodinaRegression modelProcess / pipelineRegression model
Rok vzniku200319311999
TvůrcePison, Rousseeuw, Filzmoser & CrouxLouis Leon ThurstoneRousseeuw; Rousseeuw & Van Driessen (Fast-MCD)
TypRobust latent-factor modelMethodRobust multivariate location-scatter estimator
Původní zdrojPison, 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 ↗Rousseeuw, P. J. & Van Driessen, K. (1999). A Fast Algorithm for the Minimum Covariance Determinant Estimator. Technometrics, 41(3), 212-223. DOI ↗
Další názvyrobust factor analysis, outlier-resistant factor analysis, MCD-based factor analysis, Robust Faktör AnaliziEFA, CFA, latent variable modelingminimum covariance determinant, MCD estimator, robust covariance estimation, Robust Kovaryans Tahmini (MCD)
Příbuzné534
ShrnutíRobust 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.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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ScholarGatePorovnat metody: Robust Factor Analysis · Factor Analysis · Robust Covariance (MCD). Získáno 2026-06-17 z https://scholargate.app/cs/compare