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Plot Batang Laras untuk Taburan Menceng (Skewed Distributions)×Regresi Kuasa Dua Terpangkas Terkecil (LTS)×Anggaran Sisihan Mutlak Mutlak (MAD)×ANOVA Robust (Welch & Min Tumas Dipangkas)×
BidangStatistikStatistikStatistikStatistik
KeluargaRegression modelRegression modelRegression modelRegression model
Tahun asal2008198419741951
PengasasHubert & VandervierenPeter J. RousseeuwHampel (influence-curve treatment); classical robust statisticsWelch (1951); robust trimmed-mean approach popularised by Wilcox
JenisRobust outlier detection / descriptive visualizationRobust linear regressionRobust scale estimatorRobust one-way analysis of variance
Sumber perintisHubert, 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 ↗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 ↗
Aliasadjusted box plot, medcouple boxplot, skewness-adjusted boxplot, Düzeltilmiş Kutu Grafiği (Adjusted Boxplot)LTS, least trimmed squares regression, trimmed least squares, robust regressionmedian 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)
Berkaitan5555
RingkasanThe 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.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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ScholarGateBandingkan kaedah: Adjusted Boxplot · Least Trimmed Squares · MAD Estimation · Robust ANOVA. Dicapai 2026-06-18 daripada https://scholargate.app/ms/compare