[R] Nonparametric generalization of ANOVA

Jeremy Miles jeremy.miles at gmail.com
Fri Mar 5 17:52:02 CET 2010

Two links for you which will get your answer much quicker than a mailing list:





On 5 March 2010 05:19, blue sky <bluesky315 at gmail.com> wrote:
> My interpretation of the relation between 1-way ANOVA and Wilcoxon's
> test (wilcox.test() in R) is the following.
> 1-way ANOVA is to test if two or multiple distributions are the same,
> assuming all the distributions are normal and have equal variances.
> Wilcoxon's test is to test two distributions are the same without
> assuming what their distributions are.
> In this sense, I'm wondering what is the generalization of Wilcoxon's
> test to more than two distributions. And, more general, what is the
> generalization of Wilcoxon's test to multi-way ANOVA with arbitrary
> complex model formula? What are the equivalent F statistics and t
> statistics in the generalization of Wilcoxon's test?
> Note that I'm not interested in looking for a specific nonparametric
> test for a particular dataset right now, although this is important in
> practice. What I'm interested the general nonparametric statistical
> framework that parallels ANOVA. Could somebody give some hints on what
> references I should look for? I have google searched this topic, but
> don't find a page that exactly answered my question.
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Jeremy Miles
Psychology Research Methods Wiki: www.researchmethodsinpsychology.com

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