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Factor Analysis×تحلیل مؤلفه‌های اصلی×رگرسیون مقاوم×
حوزهآمار پژوهشیادگیری ماشینآمار
خانوادهProcess / pipelineMachine learningRegression model
سال پیدایش193120021964
پدیدآورLouis Leon ThurstoneJolliffe, I.T. (textbook); Pearson & Hotelling (origins)Peter J. Huber (M-estimation, 1964); Frank Hampel (influence function, 1974)
نوعMethodUnsupervised dimensionality reductionRegression with outlier resistance
منبع بنیادینThurstone, 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 ↗
نام‌های دیگرEFA, CFA, latent variable modelingTemel Bileşenler Analizi (PCA), PCA, principal components analysis, Karhunen-Loève transformM-estimation regression, robust linear regression, outlier-resistant regression, MM-estimation
مرتبط336
خلاصهFactor 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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ScholarGateمقایسهٔ روش‌ها: Factor Analysis · Principal Component Analysis · Robust Regression. بازیابی‌شده در 2026-06-17 از https://scholargate.app/fa/compare