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Phân tích phương sai lặp lại (Robust Repeated Measures ANOVA)×Kiểm định Friedman×
Lĩnh vựcThống kêThống kê
HọHypothesis testHypothesis test
Năm ra đời1990s–2000s1937
Người khởi xướngRand R. WilcoxMilton Friedman
LoạiRobust parametric mean comparisonNonparametric repeated-measures comparison (by ranks)
Công trình gốcWilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838Friedman, M. (1937). The use of ranks to avoid the assumption of normality implicit in the analysis of variance. Journal of the American Statistical Association, 32(200), 675–701. DOI ↗
Tên gọi khácrobust within-subjects ANOVA, trimmed-mean repeated measures ANOVA, robust RM-ANOVA, heteroscedastic repeated measures ANOVAFriedman two-way analysis of variance by ranks, Friedman rank test, Friedman Testi
Liên quan62
Tóm tắtRobust 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.The Friedman test is a nonparametric hypothesis test that compares three or more related conditions measured on the same blocks or subjects, serving as the rank-based alternative to repeated-measures ANOVA. It was introduced by Milton Friedman in 1937 and works on ordinal or continuous data without assuming normality.
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ScholarGateSo sánh phương pháp: Robust repeated measures ANOVA · Friedman test. Truy cập ngày 2026-06-18 từ https://scholargate.app/vi/compare