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Regresi Kuasa Dua Terpangkas Terkecil (LTS)×ANOVA Robust (Welch & Min Tumas Dipangkas)×
BidangStatistikStatistik
KeluargaRegression modelRegression model
Tahun asal19841951
PengasasPeter J. RousseeuwWelch (1951); robust trimmed-mean approach popularised by Wilcox
JenisRobust linear regressionRobust one-way analysis of variance
Sumber perintisRousseeuw, 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 ↗
AliasLTS, least trimmed squares regression, trimmed least squares, robust regressionWelch ANOVA, trimmed-mean ANOVA, heteroscedastic one-way ANOVA, Robust ANOVA (Welch & Trimmed Mean)
Berkaitan55
RingkasanLeast 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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ScholarGateBandingkan kaedah: Least Trimmed Squares · Robust ANOVA. Dicapai 2026-06-18 daripada https://scholargate.app/ms/compare