Bruce Weaver <[EMAIL PROTECTED]> wrote in message 
news:<[EMAIL PROTECTED]>...
> On 20 Apr 2002, Voltolini wrote:
> 
> > Hi, some of my students are asking me if there are
> > non parametric versions for these tests:
> >
> > 1 - ANOVA two-way.
> > 2 - ANOVA multifatorial or multi-way.
> > 3 - Multiple regression.
> > 4 - Analysis of covariance (ANCOVA).
> >
> > Thanks for any help !
> >
> >
> > Voltolini
> >
> 
> Do a search for "assumptions of ANOVA 1" at http://groups.google.com/ .
> In my message, there is a quote from Conover's book on nonparametric stats
> that addresses this issue.
> 
> Cheers,

The question is good, there are very few multivariate nonparametric
techniques:
As suggested, rank transformations are probably the way to deal with
this.

I have also wondered if residuals are a way of adjusting and then you
can use bivariate non-parametrics like kendall's tau, spearman etc.


I don't believe residuals work too well because of the following
example:
Correlations
                AS      BEANSP  AGE
AS      pearson 1.000   1.000   -.129
        Sig.    .       .000    .000
        N       4074    4074    4074
BEANSP  Pearson 1.000   1.000   -.141
        Sig.    .000    .       .000
        N       4074    4074    4074
AGE     Pearson -.129   -.141   1.000
        Sig.    .000    .000    .
        N       4074    4074    4164

the variable "AS" Is "BEANSP" adjusted for age, and you can see that
adjustment only reduces confounding by a very minor amount.  r=-0.129
compared to r=-0.141.
This probably depends on the population/data..
.
.
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