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Analiza Factorială Robustă×Analiza factorială×Diagnosticile de influență (Distanța Cook, DFFITS, Leveraj)×
DomeniuStatisticăStatistică pentru cercetareStatistică
FamilieRegression modelProcess / pipelineRegression model
Anul apariției200319311977
Autorul originalPison, Rousseeuw, Filzmoser & CrouxLouis Leon ThurstoneR. Dennis Cook (Cook's distance); Belsley, Kuh & Welsch (DFFITS, leverage)
TipRobust latent-factor modelMethodRegression diagnostic
Sursa seminalăPison, 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 ↗
Denumiri alternativerobust factor analysis, outlier-resistant factor analysis, MCD-based factor analysis, Robust Faktör AnaliziEFA, CFA, latent variable modelingCook's distance, DFFITS, leverage, influential observation detection
Înrudite535
RezumatRobust 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.
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ScholarGateCompară metode: Robust Factor Analysis · Factor Analysis · Influence Diagnostics. Preluat la 2026-06-18 de pe https://scholargate.app/ro/compare