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| تحليل العوامل× | الانحدار القوي× | |
|---|---|---|
| المجال≠ | إحصاء البحث | الإحصاء |
| العائلة≠ | Process / pipeline | Regression model |
| سنة النشأة≠ | 1931 | 1964 |
| صاحب الطريقة≠ | Louis Leon Thurstone | Peter J. Huber (M-estimation, 1964); Frank Hampel (influence function, 1974) |
| النوع≠ | Method | Regression with outlier resistance |
| المصدر التأسيسي≠ | Thurstone, L. L. (1947). Multiple Factor Analysis. University of Chicago Press. DOI ↗ | Huber, P. J. (1964). Robust estimation of a location parameter. The Annals of Mathematical Statistics, 35(1), 73–101. DOI ↗ |
| الأسماء البديلة≠ | EFA, CFA, latent variable modeling | M-estimation regression, robust linear regression, outlier-resistant regression, MM-estimation |
| ذات صلة≠ | 3 | 6 |
| الملخص≠ | 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. | 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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