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Solidny Hierarchiczny Model Liniowy×Regresja odporna×
DziedzinaStatystykaStatystyka
RodzinaRegression modelRegression model
Rok powstania20041964
TwórcaMaas & Hox (2004); Goldstein et al. (2018)Peter J. Huber (M-estimation, 1964); Frank Hampel (influence function, 1974)
TypRobust multilevel regressionRegression with outlier resistance
Źródło pierwotneMaas, C. J. M., & Hox, J. J. (2004). Robustness issues in multilevel regression analysis. Statistica Neerlandica, 58(2), 127–137. DOI ↗Huber, P. J. (1964). Robust estimation of a location parameter. The Annals of Mathematical Statistics, 35(1), 73–101. DOI ↗
Inne nazwyrobust HLM, robust multilevel model, robust mixed-effects linear model, robust nested regressionM-estimation regression, robust linear regression, outlier-resistant regression, MM-estimation
Pokrewne56
PodsumowanieRobust Hierarchical Linear Model (Robust HLM) extends standard HLM by replacing or protecting its standard errors against violations of distributional assumptions — chiefly non-normal residuals, heteroscedasticity, and influential clusters. It retains the nested, two-level (or higher) structure while producing more trustworthy inference under real-world data conditions.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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ScholarGatePorównaj metody: Robust Hierarchical Linear Model · Robust Regression. Pobrano 2026-06-17 z https://scholargate.app/pl/compare