-------- Original Message --------
Subject: Re: Mahalanobis distance
Date: Mon, 14 Apr 2008 04:46:49 -0700 (PDT)
From: Joseph Kunkel <[EMAIL PROTECTED]>
To: morphmet@morphometrics.org
CC: Joseph Kunkel <[EMAIL PROTECTED]>
References: <[EMAIL PROTECTED]>

Mahalanobis D squared is essentially a significance test.  One can
compute it by doing a principle components analysis and dividing the
eigenvector lengths by their eigenvalues and summing them.  This
represents a sum of independent F-tests.  It is like using a squared t-
test to measure a difference.   As with such measures of significance,
they explode when there is a substantial difference between two
groups.  Because it is a sum of ratios it suffers from the problems
with ratios particularly when the denominator is unstable such as when
the underlying variances are estimated by small numbers.

Joe Kunkel
[EMAIL PROTECTED]

On Apr 14, 2008, at 3:05 AM, morphmet wrote:


-------- Original Message --------
Subject:        Mahalanobis distance
Date:   Thu, 10 Apr 2008 04:21:04 -0700 (PDT)
From:   Saber Sadeghi <[EMAIL PROTECTED]>
To:     morphmet@morphometrics.org



Dear morphometriceans
I am a student and work on population isolation. now, I'm confusing
about using Squared Mahalanobis distance in geometric morphometrics
analysis. Although some researchers used it in papers, some others
forbid it.
I would appreciate it if you could explain me about that.

Best Regards
Hamid

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Joseph G. Kunkel, Professor
Biology Department
University of Massachusetts Amherst
Amherst MA 01003
http://www.bio.umass.edu/biology/kunkel/




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