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강건 다변량 분산 분석(Robust MANOVA)×강건 반복 측정 분산 분석 (Robust Repeated Measures ANOVA)×
분야통계학통계학
계열Hypothesis testHypothesis test
기원 연도1990s–2000s1990s–2000s
창시자Rand Wilcox; Lisa Lix and H. J. KeselmanRand R. Wilcox
유형Robust multivariate mean comparisonRobust parametric mean comparison
원전Wilcox, 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
별칭robust multivariate ANOVA, trimmed-mean MANOVA, outlier-resistant MANOVA, robust MANOVArobust within-subjects ANOVA, trimmed-mean repeated measures ANOVA, robust RM-ANOVA, heteroscedastic repeated measures ANOVA
관련56
요약Robust MANOVA is a multivariate analysis of variance procedure designed to remain valid when classical assumptions — multivariate normality and homogeneity of covariance matrices — are violated. It replaces raw means and standard covariance matrices with resistant estimates such as trimmed means and Winsorized covariances, yielding reliable Type I error control and power in the presence of outliers and skewed distributions across multiple dependent variables simultaneously.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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