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Equation of a Confidence Ellipse

To: <s-news@lists.biostat.wustl.edu>
Subject: Equation of a Confidence Ellipse
From: Kyle Armstrong <kyle@biota.net.au>
Date: Mon, 10 Mar 2003 16:25:53 +0800
User-agent: Microsoft-Entourage/9.0.2509
Hi,

I am at my wits end trying to solve this.  I would like to know if S-plus or
any other program can provide the equation of a confidence ellipse, or at
least information that I can easily build this equation from.  The equation
is important for another application.

I have three measured variables that I can use to run a discriminant
function analysis to define groups.  My data gives me two functions that I
can use to construct a scatterplot showing the separation and variation of
species groups.  I have used Systat to draw both 'centroid' and 'sample'
confidence ellipses around the variation in each group.  However, Systat
does not provide a formula for the ellipses.

While I am asking, there seems to be many types of confidence ellipses- what
is the difference between a data ellipse and a confidence ellipse, and where
does a predictive ellipse fit in?

In the event you are unable to help me, if there are any websites or other
people etc that you know could help, I would be very grateful for the info.
I don¹t own S-plus, but I may be able to access it at a local university.

Best regards,

Kyle
------------------------------------------------
Kyle Armstrong    kyle@biota.net.au
Zoologist
Biota Environmental Sciences Pty Ltd
First Floor Suite 2, 186 Scarborough Beach Road
Mount Hawthorn  Western Australia  6016
Tel. (08) 9201 9955, +61 8 9201 9955
Fax (08) 9201 9599, +61 8 9201 9599
-----------------------------------------------



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