[R] Two-way non-parametric ANOVA?

David Airey david.airey at Vanderbilt.Edu
Wed Jan 23 20:49:58 CET 2008

While I defer to Frank as far as expertise goes, not having access to  
his paper, I googled, and I just read that this kind of model is not  
possible when there are a lack of ties for ranks in the data, and adds  
an intercept for every rank in the data set. So while interpretation  
doesn't get more difficult with additional ranks, unlike the  
multinonimal model, Frank's suggestion would not fly for continuous  
data that was transformed to ranks, as opposed to data collected as  
ordered categories, where it would be preferable.

On Jan 23, 2008, at 10:52 AM, Frank E Harrell Jr wrote:

> David Airey wrote:
>>> We need a two-way non-parametric ANOVA in order to analysis  
>>> properly  some ecological data, do you know any reference in R? or  
>>> how to do  it? Thank you very much All the best diana
>> A couple more references here are below. I liked the Scheirer  
>> reference.
>> /*
>> Scheirer CJ, Ray WS, Hare N (1976) The analysis of ranked data  
>> derived
>> from completely randomized factorial designs. Biometrics 32:429-434
>> Groggel DJ, Skillings JH (1986) Distribution-free tests for main  
>> effects
>> in multifactor designs. American Statistician 40:99-102
>> */
> My guess is that those are a bit out of date, especially the first  
> one, when compared to the PO model.
> Cheers
> Frank
>> ______________________________________________
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>> and provide commented, minimal, self-contained, reproducible code.
> -- 
> Frank E Harrell Jr   Professor and Chair           School of Medicine
>                    Department of Biostatistics   Vanderbilt University

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