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| Factor Analysis× | تحلیل مؤلفههای اصلی× | رگرسیون مقاوم× | |
|---|---|---|---|
| حوزه≠ | آمار پژوهش | یادگیری ماشین | آمار |
| خانواده≠ | Process / pipeline | Machine learning | Regression model |
| سال پیدایش≠ | 1931 | 2002 | 1964 |
| پدیدآور≠ | Louis Leon Thurstone | Jolliffe, I.T. (textbook); Pearson & Hotelling (origins) | Peter J. Huber (M-estimation, 1964); Frank Hampel (influence function, 1974) |
| نوع≠ | Method | Unsupervised dimensionality reduction | Regression with outlier resistance |
| منبع بنیادین≠ | Thurstone, 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 دیگر≠ | EFA, CFA, latent variable modeling | Temel Bileşenler Analizi (PCA), PCA, principal components analysis, Karhunen-Loève transform | M-estimation regression, robust linear regression, outlier-resistant regression, MM-estimation |
| مرتبط≠ | 3 | 3 | 6 |
| خلاصه≠ | 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. | 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. |
| ScholarGateمجموعهداده ↗ |
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