Kristel,
We have found precisely the same thing.  RW1 often is obviously a
fixaton effect.  We informally refer to this shape axis as "bendiness"
and I'm sure I know precisely what it looks like even in your fish, as
we have seen it in so many species in my lab.

Your suggested use of RW1 as a covariate seems perfectly acceptable to
me.  The only problem is justifying that RW1 really is a fixation
effect.  I agree that enough experience seeing it makes it very obvious
that is what is going on, but there is no way I can think to rigorously
document this within the context of a given sample.  (And sometimes RW1
may also contain allometry and some other things mixed in with the
fixation effect).  

It may be possible to justify externally that the RW1 axis is a fixation
effect.  Once could do this experimentally, by derriving an axis
separating two sets of images where one set is from live fish and the
second set is from those same fish after formalin fixation.  If that
canonical (MANCOVA) axis looks very much like your RW1, then you have a
nice external justification.

I don't think there is a statistical problem with using RW1 as a
covariate in MANCOVA.  Although RW1 is generated in the framework of
PCA, the significance test is really not of interest.  The PCA in this
case is just a tool to make a measurement.

Please share the responses you get from your query, as this is an
interesting problem of fairly general concern.

Thom DeWitt

_______________________________

Dr. Thomas J. DeWitt, Assistant Professor
Department of Wildlife & Fisheries Sciences
  & Program in Bioenvironmental Sciences
Texas A&M University
2258 TAMU
College Station, TX 77843-2258

Tel. (979) 458-1684 (office)
Tel. (979) 845-7522 (lab)
Fax (979) 845-4096
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Hi everybody



I was wondering if anybody had some comments on the following dilemma.
We are currently performing a tps analysis of body shape and possible 
left-right differences in a cichlid fish, and we have come across the 
following situation. It appears that relative warp 1 depicts a possible
=
artefact due to formalin fixation, which of course we would like to
filter out.

1. We would like to know whether we can treat RW1 as you would treat
PC1, depicting size, in a PCA, and thus immediately focus on RW2 plotted
against RW3.

2. Could we consider RW1 as an independent variable in a statistical 
analysis, such as a MANCOVA, in which we would treat RW1 as a covariable
and partial warps as variables? Would it be correct to perform this kind
of analysis on the relative warp scores, taking into account that these
scores are already the result of a statistic analysis, based on these 
partial warp scores? Can we somehow tease out the "effect" of RW1?


 Thanks in advance,



Kristel Wautier
Ghent University
Department of Biology
K.-L. Ledeganckstraat 35
9000 Ghent
Belgium

Tel.: +32 9 264 52 31
Fax: +32 9 264 53 44

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http://allserv.rug.ac.be/~kwautier/VMDB/homepage.html
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