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• W2143995006 abstract "In classical analysis of variance, dispersion is measured by considering squared distances of sample elements from the sample mean. We consider a measure of dispersion for univariate or multivariate response based on all pairwise distances between-sample elements, and derive an analogous distance components (DISCO) decomposition for powers of distance in $(0,2]$. The ANOVA F statistic is obtained when the index (exponent) is 2. For each index in $(0,2)$, this decomposition determines a nonparametric test for the multi-sample hypothesis of equal distributions that is statistically consistent against general alternatives." @default.
• W2143995006 created "2016-06-24" @default.
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• W2143995006 date "2010-06-01" @default.
• W2143995006 modified "2023-10-14" @default.
• W2143995006 title "DISCO analysis: A nonparametric extension of analysis of variance" @default.
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• W2143995006 doi "https://doi.org/10.1214/09-aoas245" @default.
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