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Re: discriminate groups of data

To: "'Dimitris Tambakopoulos'" <slapfish17@hotmail.com>, <s-news@lists.biostat.wustl.edu>
Subject: Re: discriminate groups of data
From: "Christos Hatzis" <christos@nuverabio.com>
Date: Fri, 9 Mar 2007 12:14:30 -0500
In-reply-to: <BAY135-F80B831993835AD80C1B18D3780@phx.gbl>
Organization: Nuvera Biosciences
References: <BAY135-F80B831993835AD80C1B18D3780@phx.gbl>
Reply-to: <christos@nuverabio.com>
Thread-index: AcdibGjxxGj9BjwLT3imu+pNhV52kgAAL90Q
Dimitris,

You need to look into multidimensional scaling (MDS).  If you have the MASS4
book handy (Venables & Ripley) take a look at Chapter 11.  There is a lot of
background materials and several examples.

You can also check out the CRAN task view on Multivariate Statistics under
"Principal coordinates / scaling methods" for some additional pointers.

Good luck!
-Christos

Christos Hatzis, Ph.D.
Nuvera Biosciences, Inc.
400 West Cummings Park
Suite 5350
Woburn, MA 01801
Tel: 781-938-3830
www.nuverabio.com
 
> -----Original Message-----
> From: s-news-owner@lists.biostat.wustl.edu 
> [mailto:s-news-owner@lists.biostat.wustl.edu] On Behalf Of 
> Dimitris Tambakopoulos
> Sent: Friday, March 09, 2007 12:00 PM
> To: s-news@lists.biostat.wustl.edu
> Subject: [S] discriminate groups of data
> 
> Hi everyone...
> 
> I need desperately some serious help here...
> and please forgive me for my English in advance.
> 
> I have a database of 4 quantities measured from a large 
> number of samples originating from different groups.
> I'm giving the above figure..
> 
> sample(1) from group(1)     quantity1 quantity2 quantity3 quantity4
> ...
> sample(i) from group(1)     q1     q2     q3     q4
> 
> sample(1) from group(2)     q1     q2     q3     q4
> ...
> sample(i) from group(2)     q1     q2     q3     q4
> 
> sample(1) from group(i)     q1     q2     q3     q4
> ...
> sample(i) from group(i)        q1     q2     q3     q4
> 
> hope this clears things up...
> 
> I'm trying to discriminate the above groups as much as I can 
> using the 4 quantities above in a 2D plot.
> I can take a pleasant discrimination by plotting a q1-q2 
> scatter plot, but I have some overlaps that I would like to 
> be eliminated.
> 
> Is there a way to (pre)set the groups and calculate the new x 
> and y (function of q1, q2, q3 and q4), which maximize the 
> discrimination of the groups in a scatter plot?
> 
> Please note that I'm not looking for the cluster analysis.
> I already know which are the groups and I would like to plot 
> them together and discriminated.
> 
> Thanks in advance
> Dimitris
> 
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