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.
On Mar 5, 2010, at 8:19 AM, blue sky 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.This is your first of three postings in the last hour and they are all in a category that could well be described as requests for tutoring in basic statistical topics. I am of the impression you have been requested not to engage in such behavior on this list. For this question for instance there is an entire CRAN Task View available and you have been in particular asked to sue such resource before posting. It's not the described role of the r-help list to remediate your lack of statistical background, but rather to deal with difficulties in applying the R-language to particular, discrete and exemplified problems. -- David Winsemius, MD West Hartford, CT
> This is your first of three postings in the last hour and they are all in > a category that could well be described as requests for tutoring in basic > statistical topics. I am of the impression you have been requested not to > engage in such behavior on this list. For this question for instance > there is an entire CRAN Task View available and you have been in > particular asked to sue such resource before posting.Please allow me to ask for details on this task view, because I am interested in the topic of nonparametric ANOVAs, as well. To my knowledge, there are some R scripts from Brunner et al. available on his website http://www.ams.med.uni-goettingen.de/de/sof/ld/index.html But they seem not to be working with current R versions. Best regards, Matthias Gondan -- Sicherer, schneller und einfacher. Die aktuellen Internet-Browser - jetzt kostenlos herunterladen! http://portal.gmx.net/de/go/atbrowser
On Mar 5, 2010, at 10:34 AM, Matthias Gondan wrote:>> This is your first of three postings in the last hour and they are >> all in >> a category that could well be described as requests for tutoring in >> basic >> statistical topics. I am of the impression you have been requested >> not to >> engage in such behavior on this list. For this question for instance >> there is an entire CRAN Task View available and you have been in >> particular asked to sue such resource before posting. > > Please allow me to ask for details on this task view, because I am > interested in the topic of nonparametric ANOVAs, as well. To my > knowledge, > there are some R scripts from Brunner et al. available on his website > > http://www.ams.med.uni-goettingen.de/de/sof/ld/index.html > > But they seem not to be working with current R versions.http://finzi.psych.upenn.edu/views/Robust.html> > Best regards, > > Matthias Gondan > >-- David Winsemius, MD West Hartford, CT
Two links for you which will get your answer much quicker than a mailing list: http://lmgtfy.com/?q=non-parametric+anova+R or http://www.justfuckinggoogleit.com/search.pl?query=non+parametric+anova+R Jeremy 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. > > ______________________________________________ > R-help at r-project.org mailing list > https://stat.ethz.ch/mailman/listinfo/r-help > PLEASE do read the posting guide http://www.R-project.org/posting-guide.html > and provide commented, minimal, self-contained, reproducible code. >-- Jeremy Miles Psychology Research Methods Wiki: www.researchmethodsinpsychology.com