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Diagrama de cutie ajustată pentru distribuții asimetrice×Regresia prin metoda celor mai mici pătrate trunchiate (LTS)×ANOVA Robustă (Welch & Media Tăiată)×
DomeniuStatisticăStatisticăStatistică
FamilieRegression modelRegression modelRegression model
Anul apariției200819841951
Autorul originalHubert & VandervierenPeter J. RousseeuwWelch (1951); robust trimmed-mean approach popularised by Wilcox
TipRobust outlier detection / descriptive visualizationRobust linear regressionRobust one-way analysis of variance
Sursa seminalăHubert, M. & Vandervieren, E. (2008). An Adjusted Boxplot for Skewed Distributions. Computational Statistics & Data Analysis, 52(12), 5186-5201. DOI ↗Rousseeuw, P. J. (1984). Least Median of Squares Regression. Journal of the American Statistical Association, 79(388), 871-880. DOI ↗Welch, B. L. (1951). On the comparison of several mean values: an alternative approach. Biometrika, 38(3/4), 330-336. DOI ↗
Denumiri alternativeadjusted box plot, medcouple boxplot, skewness-adjusted boxplot, Düzeltilmiş Kutu Grafiği (Adjusted Boxplot)LTS, least trimmed squares regression, trimmed least squares, robust regressionWelch ANOVA, trimmed-mean ANOVA, heteroscedastic one-way ANOVA, Robust ANOVA (Welch & Trimmed Mean)
Înrudite555
RezumatThe Adjusted Boxplot is a robust descriptive tool introduced by Hubert and Vandervieren (2008) that corrects the classical IQR-based boxplot for skewness using the medcouple statistic, reducing the false labelling of outliers in asymmetric data.Least Trimmed Squares is a robust linear regression method introduced by Peter J. Rousseeuw in 1984. Instead of fitting all residuals, it estimates the coefficients by minimising the sum of only the h smallest squared residuals, which gives it a breakdown point of up to 50% and reliable estimates on data heavily contaminated by outliers.Robust ANOVA compares the central tendency of three or more groups when the classical assumptions of normality and equal variances fail. It combines Welch's heteroscedasticity-adjusted statistic, introduced by Welch in 1951, with trimmed-mean tests advanced by Wilcox, giving reliable comparisons in the presence of outliers and unequal group spreads.
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ScholarGateCompară metode: Adjusted Boxplot · Least Trimmed Squares · Robust ANOVA. Preluat la 2026-06-18 de pe https://scholargate.app/ro/compare