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Uthabiti wa Kiwango cha Thamani ya Kati ya Upotofu kamili (MAD)×ANOVA Robust (Welch & Kiwango cha Wastani kilichopunguzwa)×
NyanjaTakwimuTakwimu
FamiliaRegression modelRegression model
Mwaka wa asili19741951
MwanzilishiHampel (influence-curve treatment); classical robust statisticsWelch (1951); robust trimmed-mean approach popularised by Wilcox
AinaRobust scale estimatorRobust one-way analysis of variance
Chanzo asiliaHampel, 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 ↗
Majina mbadalamedian 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)
Zinazohusiana55
MuhtasariMedian 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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  1. v1
  2. 2 Vyanzo
  3. PUBLISHED

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ScholarGateLinganisha mbinu: MAD Estimation · Robust ANOVA. Imepatikana 2026-06-18 kutoka https://scholargate.app/sw/compare