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ANOVAی ناپارامتریک (میانگین ناپارامتریک ولش و میانگین هرس‌شده)×برآورد وینسورایز شده×
حوزهآمارآمار
خانوادهRegression modelRegression model
سال پیدایش19511960
پدیدآورWelch (1951); robust trimmed-mean approach popularised by WilcoxDixon (1960); robust estimation tradition (Wilcox)
نوعRobust one-way analysis of varianceRobust location/scale estimator
منبع بنیادینWelch, 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 ↗
نام‌های دیگرWelch ANOVA, trimmed-mean ANOVA, heteroscedastic one-way ANOVA, Robust ANOVA (Welch & Trimmed Mean)winsorization, winsorized mean, Winsorize Edilmiş Tahmin
مرتبط55
خلاصهRobust 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.
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ScholarGateمقایسهٔ روش‌ها: Robust ANOVA · Winsorized Estimation. بازیابی‌شده در 2026-06-17 از https://scholargate.app/fa/compare