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Faktorska analiza×Dijagnostika utjecaja (Cookova udaljenost, DFFITS, poluga)×Analiza glavnih komponent×Robusna procjena kovarijance (MCD)×
PodručjeIstraživačka statistikaStatistikaStrojno učenjeStatistika
ObiteljProcess / pipelineRegression modelMachine learningRegression model
Godina nastanka1931197720021999
TvoracLouis 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)
VrstaMethodRegression diagnosticUnsupervised dimensionality reductionRobust multivariate location-scatter estimator
Temeljni izvorThurstone, 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 ↗
Drugi naziviEFA, 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)
Srodne3534
SažetakFactor 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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ScholarGateUsporedite metode: Factor Analysis · Influence Diagnostics · Principal Component Analysis · Robust Covariance (MCD). Preuzeto 2026-06-17 s https://scholargate.app/hr/compare