-------- Original Message --------
Subject: Re: Relative warp question
Date: Wed, 10 Feb 2010 09:25:15 +0100
From: Carmelo Fruciano <[email protected]>
To: [email protected]
References: <[email protected]>

morphmet <[email protected]> ha scritto:



RW1 to 3 appear to  describe the apparent shape variance I am interested
in (i.e. high spired vs flat and aperture size). Do the relative warps
correspond directly to the identical partial warps in the weight matrix
(e.g. RW1 scores column corresponds to the first variable column in the
weight matrix)?

Not usually.

If so could I take the first variable in the weight
matrix (assuming it corresponds to RW1) and perform a T test just for
this variable between my dark and light colour groups?

Either you use the weight matrix or the relative warp scores matrix,
using only one variable is not usually advisable because shape is a
multivariate trait defined by ALL the variables in the weight matrix
or the relative warp scores matrices. It often happens that along the
first RW axis there is some biologically relevant variation
(allometric variation, for example) but throwing away other relative
warps corresponds to throwing away all the information that is not
expressed by that first axis, information that is often biologically
relevant and that in my opinion one shouldn't discard a priori.

I have tried
using a MANOVA approach, but because these samples weren’t collected
specifically with this analysis in mind I am lacking enough samples in
each of my colour groups to get sufficient power, but I think a T test
on a per variable basis should be OK in the first instance.

A randomization approach on the multivariate dataset maybe? Probably
there is people in the list who is more expert in the topic and
they'll chime in to give you suggestions on this.
You could look at MorphoJ whose CVA and discriminant modules implement
randomization-based tests (in this case I'm assuming that you are
worried about power but a CVA is still defined on your dataset, I
don't know about the behaviour of MorphoJ in case the operation is not
defined).

Best
Carmelo



--



Carmelo Fruciano
Dipartimento di Biologia Animale
University of Catania
Tel. +39 095 7306023
Cell. +39 349 5822831
e-mail [email protected]


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