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Upravený krabicový graf pre šikmé rozdelenia×Odhad mediánovej absolútnej odchýlky (MAD)×Robustná ANOVA (Welchov test a orezaný priemer)×
OdborŠtatistikaŠtatistikaŠtatistika
RodinaRegression modelRegression modelRegression model
Rok vzniku200819741951
TvorcaHubert & VandervierenHampel (influence-curve treatment); classical robust statisticsWelch (1951); robust trimmed-mean approach popularised by Wilcox
TypRobust outlier detection / descriptive visualizationRobust scale estimatorRobust one-way analysis of variance
Pôvodný zdrojHubert, M. & Vandervieren, E. (2008). An Adjusted Boxplot for Skewed Distributions. Computational Statistics & Data Analysis, 52(12), 5186-5201. DOI ↗Hampel, F. R. (1974). The Influence Curve and Its Role in Robust Estimation. Journal of the American Statistical Association, 69(346), 383-393. DOI ↗Welch, B. L. (1951). On the comparison of several mean values: an alternative approach. Biometrika, 38(3/4), 330-336. DOI ↗
Ďalšie názvyadjusted box plot, medcouple boxplot, skewness-adjusted boxplot, Düzeltilmiş Kutu Grafiği (Adjusted Boxplot)median absolute deviation, MAD scale estimator, robust scale estimation, Medyan Mutlak Sapma (MAD) TahminiWelch ANOVA, trimmed-mean ANOVA, heteroscedastic one-way ANOVA, Robust ANOVA (Welch & Trimmed Mean)
Príbuzné555
ZhrnutieThe 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.Median Absolute Deviation estimation is a robust measure of statistical dispersion that replaces the standard deviation when outliers are present. Rooted in the influence-curve framework formalised by Hampel (1974), it summarises the spread of a continuous variable using medians instead of means, so a single extreme value cannot distort the result.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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ScholarGatePorovnať metódy: Adjusted Boxplot · MAD Estimation · Robust ANOVA. Získané 2026-06-18 z https://scholargate.app/sk/compare