-------- Original Message --------
Subject: choice of reference
Date: Thu, 29 Apr 2010 17:42:38 -0400
From: Ben Wasserman <[email protected]>
To: [email protected]
CC: Eric Palkovacs <[email protected]>

Hello All,

I’m having trouble figuring out what to use as a reference figure in
the following case.  As part of a large study of guppies (Poecilia
reticulata) we have photographs of some 1000 fish.  For an additional
100 fish we have additional data: laboratory assays of feeding
performance.  At this stage I have only digitized the 100 fish, and
used PLS to compare behavior to morphology within those 100 fish.  The
fish are from 12 different locations (high, medium, and low predation
sites in each of 4 watersheds), but our subsample is only from the
sites within a single watershed.

My question is this, how can I project the results of this smaller
study to say something about the potential performance capabilities of
the fish in the larger study?  If I had taken just a few linear
measurements-say head depth, fish weight, and gape, then I could build
a predictive model:

Predicted performance = head depth + fish weight + gape

But since the shape variables (be they aligned landmark coordinates or
warps) are dependent on the reference one chooses to use, it is not as
straight forward to me how to proceed.  Right now this is my best
idea, but I’m not sure if it is correct: redo the PLS on the shape
scores calculated in the shape space defined by the consensus of all
1100 fish, and then projection becomes as straight forward as the
above formula.

Does an answer hinge on how representative these 100 individuals are
of the shape space of all 1100?

Thanks All!

Ben Wasserman
Ben.a.wasserman AT gmail DOT com



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