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آزمون فریدمن مقاوم (Robust Friedman Test)×آنالیز واریانس اندازه‌گیری‌های مکرر مقاوم (Robust Repeated Measures ANOVA)×
حوزهآمارآمار
خانوادهHypothesis testHypothesis test
سال پیدایش1990s–2000s1990s–2000s
پدیدآورExtension of Friedman (1937); robust variants developed by Wilcox and colleaguesRand R. Wilcox
نوعRobust nonparametric repeated measures comparisonRobust parametric mean comparison
منبع بنیادینWilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838
نام‌های دیگرrobust rank-based repeated measures test, trimmed-mean Friedman test, Friedman test with robust estimation, Fried-type robust testrobust within-subjects ANOVA, trimmed-mean repeated measures ANOVA, robust RM-ANOVA, heteroscedastic repeated measures ANOVA
مرتبط66
خلاصهThe robust Friedman test is a nonparametric procedure for comparing three or more related (within-subjects) conditions that replaces standard ranking or mean-based summaries with robust location estimates — typically trimmed means or Winsorized statistics — to reduce the influence of outliers and heavy-tailed distributions on the inference.Robust repeated measures ANOVA tests whether population trimmed means differ across three or more repeated conditions or time points measured on the same subjects. By replacing ordinary means with 20% trimmed means and replacing variances with Winsorized estimates, it maintains acceptable Type I error and power when data are non-normal, skewed, or contain outliers — conditions under which classical repeated measures ANOVA routinely breaks down.
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  3. PUBLISHED

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ScholarGateمقایسهٔ روش‌ها: Robust Friedman test · Robust repeated measures ANOVA. بازیابی‌شده در 2026-06-17 از https://scholargate.app/fa/compare