This is for Brett Human - I have tried to respond to your latest posting but
the address you give is bouncing.

Rob Kidd
At: [EMAIL PROTECTED]


-----Original Message-----
From: [EMAIL PROTECTED] [mailto:[EMAIL PROTECTED]
Sent: Wednesday, 26 May 2004 9:08 AM
To: [EMAIL PROTECTED]
Subject: Re: size correction & discriminant functions analyses

G'day all,
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Thanks to everyone for your comments. They've been a great help, and I'm
glad that my question sparked a bit of discussion on the subject.

After some pondering, I've got a few more questions and some more
details on the way I analysed my data. Although I was looking for
species clustering, I wasn't terribly concerned with quantifying any
clustering, and was using PCA more as a visualisation technique to
explore my data. In the future I will try the various methods suggested
to try to quantify the clustering.

Another thing was with regards to the issue of multivariate normality. I
did not use a variance-covariance matrix, instead I used a correlation
matrix. I was under the assumption that by transforming the covariances
into z-scores, I would have a greater chance of my data being (or
approaching) multivariate normality? Also, for testing if my data is
normally distributed, if I was to do separate PCA's for each population
and if a population was normally dist., then would I expect to see an
ellipsoid with it's greatest length along PC1 in a PCA plot?

With regards to obtaining singular matrices when # measures >> #
specimens, this did happen to me and the way I 'got round' this was to
first regress every measurement against total length and then by looking
at the slopes of the regressions, chose which measurements showed the
greatest potential for between species differentiation. Because I was
using PCA just as a qualitative tool, I didn't think it was much of a
problem, however if I want to do quantitative analysis such as
discriminant analysis, can I still use this same method of choosing
measures, or am I restricted to stepwise methods using the whole data
set?

Forgive my ignorance, but what is NMDS and CVA? I assume PCO is
principal coordinates analysis? I would also appreciate a pdf of the
Darroch & Mosimann paper if available.

A final point, to perhaps spark more debate or at least to motivate some
thought, is that I have found it very difficult to get a basic
understanding of the application of multivariate stats to morphometrics
because the text books available are very technical. An equation may be
meaningful to the gurus, but it doesn't mean a whole lot to me. It is
also one thing to describe how a procedure works, but it's another thing
to implement it when you are ignorant of the software availble. I think
there is a great need for a text book that can introduce the new student
to this field without using equations to describe what's going on. There
- I've said it, let the slaughter begin.

Thanks,

Brett

*****************************
Brett Human
Shark Researcher
27 Southern Ave
West Beach SA 5024
Australia
+61 8 8356 6891
[EMAIL PROTECTED]
*****************************
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