-------- Original Message --------
Subject: controlling for tooth wear
Date: Wed, 7 Dec 2011 16:16:27 -0500
From: Rodrigo Lima <rodrigo.l...@mail.mcgill.ca>
To: morphmet@morphometrics.org <morphmet@morphometrics.org>

Hello morphometricians,

I would be really thankful if you could help me with the following problem:

I'm studying differences in shape and size of teeth between different populations of voles, and trying to explain this variation through environmental and geographical variables. Tooth wear is a great source of variation, so I'm trying to get rid of the effect of wear. I tried two very similar approaches:

1 - First I classified all teeth into 5 stages of tooth wear (0 being the "brand new" teeth, 4 being the "very worn-out" teeth). Then I performed a linear regression using scores on principal components as the dependent variables and tooth wear stage as the independent variable. I took the residuals and used them as the new variables against which I regressed my environmental and geographical variables.

2 - I did the same thing as in 1, but instead of residuals from a linear regression I used the residuals from a GLM.

3 - I did the same thing as in 1 and 2 with the size variable (occlusal surface area).

The problem: the results of the regressions of residuals on environmental and geographical variables have very low r2 (adjusted r2 always around 0.04). If I ignore tooth wear I get a higher r2 (around 0.25). So: does this mean that practically all the variation in my sample is due to tooth wear? Am I doing something wrong here?

I thank in advance all of those who kindly use their time to read this post.

Best wishes,
Rodrigo
MSc student
McGill University
(rodrigo.l...@mail.mcgill.ca)



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