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कारक विश्लेषण×प्रिंसिपल कंपोनेंट एनालिसिस×Robust Regression (रोबस्ट रिग्रेशन)×
क्षेत्रअनुसंधान सांख्यिकीमशीन अधिगमसांख्यिकी
परिवारProcess / pipelineMachine learningRegression model
उद्भव वर्ष193120021964
प्रवर्तकLouis Leon ThurstoneJolliffe, I.T. (textbook); Pearson & Hotelling (origins)Peter J. Huber (M-estimation, 1964); Frank Hampel (influence function, 1974)
प्रकारMethodUnsupervised dimensionality reductionRegression with outlier resistance
मौलिक स्रोतThurstone, L. L. (1947). Multiple Factor Analysis. University of Chicago Press. DOI ↗Jolliffe, I.T. (2002). Principal Component Analysis (2nd ed.). Springer. DOI ↗Huber, P. J. (1964). Robust estimation of a location parameter. The Annals of Mathematical Statistics, 35(1), 73–101. DOI ↗
उपनामEFA, CFA, latent variable modelingTemel Bileşenler Analizi (PCA), PCA, principal components analysis, Karhunen-Loève transformM-estimation regression, robust linear regression, outlier-resistant regression, MM-estimation
संबंधित336
सारांशFactor 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.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 regression estimates the linear relationship between a continuous outcome and predictors while sharply reducing the influence of outliers and leverage points. Unlike OLS, which is highly sensitive to extreme observations, robust methods assign down-weighted influence to atypical data points, producing coefficient estimates that remain stable even when a fraction of the data is contaminated or non-normally distributed.
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ScholarGateविधियों की तुलना करें: Factor Analysis · Principal Component Analysis · Robust Regression. 2026-06-17 को यहाँ से प्राप्त https://scholargate.app/hi/compare