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Робастная ANOVA (статистика Уэлча и усечённое среднее)×Винсоризация (Winsorized Estimation)×
ОбластьСтатистикаСтатистика
СемействоRegression modelRegression model
Год появления19511960
Автор методаWelch (1951); robust trimmed-mean approach popularised by WilcoxDixon (1960); robust estimation tradition (Wilcox)
ТипRobust one-way analysis of varianceRobust location/scale estimator
Основополагающий источникWelch, B. L. (1951). On the comparison of several mean values: an alternative approach. Biometrika, 38(3/4), 330-336. DOI ↗Dixon, W. J. (1960). Simplified Estimation from Censored Normal Samples. Annals of Mathematical Statistics, 31(2), 385-391. DOI ↗
Другие названияWelch ANOVA, trimmed-mean ANOVA, heteroscedastic one-way ANOVA, Robust ANOVA (Welch & Trimmed Mean)winsorization, winsorized mean, Winsorize Edilmiş Tahmin
Связанные55
СводкаRobust 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.Winsorized estimation is a robust technique that reduces the influence of outliers by clamping the extreme percentiles of a distribution to a chosen threshold. Introduced by Dixon (1960) and developed in the robust-estimation tradition of Wilcox, it keeps every observation in the sample rather than discarding any.
ScholarGateНабор данных
  1. v1
  2. 2 Источники
  3. PUBLISHED
  1. v1
  2. 2 Источники
  3. PUBLISHED

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ScholarGateСравнение методов: Robust ANOVA · Winsorized Estimation. Получено 2026-06-17 из https://scholargate.app/ru/compare