----- Forwarded message from andrea cardini <[email protected]> -----

     Date: Wed, 15 Jan 2014 06:30:56 -0500
      From: andrea cardini <[email protected]>
      Reply-To: andrea cardini <[email protected]>
      Subject: Re: PCA in R vs RWA in tpsRelW
      To: [email protected]

Dear Eugenia,
as far as I know, except if you play with some of 
the parameters (alpha, uniform comp. etc. in 
TPSRelw) instead of using the default options, a 
PCA of Procrustes shape coordinates should 
produce identical scores as a RWA in TPSRelw. The 
only difference could the sign of the axes, which 
is arbitrary (i.e., scatterplots could look flipped in one or more directions). 

The method you select to slide the semilandmarks 
might have an effect too. You could easily check 
if the differences depend on the superimposition 
(including the sliding) or the PCA by comparing 
the matrices of shape distances (shape coord. in 
R vs shape coord. in TPSRelw, PCs in R vs RWs in 
TPSRelw and even shape coord. vs PCs or shape 
coord. vs RWs within the same software): they 
should all be the same and have a matrix correlation of 1. 

I've not played with geomorph for a long time. 
One year ago, more or less, I had double checked 
results in R and TPSRelw, as you did, and they 
were virtually identical. However, I think I 
compared only shape coordinates. I am not sure if 
I checked also PC scores. If the PCA is done in R 
but not in geomorph, be careful to select the 
right options (variance covariance matrix and 
scaling of the axes). Also, there's at least one 
of the packages for doing PCAs in R (don't ask me 
which one!) which does not like the redundancy in 
the data after the superimposition. 

If you send me the data, I can give a quick look. 
Cheers

Andrea

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----- Forwarded message from Eugenia Gold <[email protected]> -----

Date: Tue, 14 Jan 2014 16:12:12 -0500
From: Eugenia Gold <[email protected]>
Reply-To: Eugenia Gold <[email protected]>
Subject: PCA in R vs RWA in tpsRelW
To: "[email protected]" <[email protected]>

Hi everyone!
I'm working on a project in which I use sliding 
semilandmarks. I've run the dataset through the 
tpsRelW software and through R using the geomorph 
package, but I get different results using each. 
I've fixed the slider file to allow for sliding 
semilandmarks in geomorph. My understanding is 
the RWA is equivalent to PCA, so would there be a 
difference in a PC1vPC2 versus a RW1vRw2 plot?

Thanks for the help!
-Eugenia

M. Eugenia L. Gold
Doctoral Candidate
Richard Gilder Graduate School
Division of Paleontology
American Museum of Natural History
New York, NY 10024

----- End forwarded message -----

Dr. Andrea Cardini
Researcher in Animal Biology, Dipartimento di 
Scienze Chimiche e Geologiche, Università di 
Modena e Reggio Emilia, l.go S. Eufemia 19, 41121 Modena, Italy
Honorary Fellow, Centre for Anatomical and Human 
Sciences, University of Hull, Cottingham Road, 
Hull, HU6 7RX, UK & University of York, Heslington, York YO10 5DD, UK
Adjunct Associate Professor, Centre for Forensic 
Science , The University of Western Australia, 35 
Stirling Highway, Crawley WA 6009, Australia

E-mail address: [email protected], [email protected]
WEBPAGE: http://sites.google.com/site/hymsfme/drandreacardini
Summary of research interests at: 
http://www.dscg.unimore.it/site/home/ricerca/aree-di-ricerca/evolution-taxonomy-and-forensics.html

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or full volume at: 
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Hystrix, the Italian Journal of 
Mammalogy: http://www.italian-journal-of-mammalogy.it/ 

----- End forwarded message -----


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