----- Forwarded message from Øyvind Hammer <oyvind.ham...@nhm.uio.no> -----

     Date: Sun, 25 Aug 2013 03:58:29 -0400
      From: Øyvind Hammer <oyvind.ham...@nhm.uio.no>
      Reply-To: Øyvind Hammer <oyvind.ham...@nhm.uio.no>
      Subject: Re: Number of relative warp scores
      To: morphmet@morphometrics.org

In this case, the number of principal components (RWs) is limited by 
the number of specimens. Even if your 10 points are embedded in a very 
high-dimensional space, there will be a 9-dimensional subspace that will 
completely contain them. If you had 2 points, they would lie on a 
straight line (1D). If you had 3 points, they would lie on a plane (2D). 
Etc. 

It is the job of the principal components analysis to identify the 
orthogonal vectors (principal components) that span this 9-dimensional 
space. 

Oyvind Hammer
Natural History Museum
University of Oslo

On 2013-08-25 09:35, morphmet_modera...@morphometrics.org wrote:
> ----- Forwarded message from Jonas Kuppler
> <jonas.kupp...@uni-duesseldorf.de> -----
> 
>  Date: Fri, 23 Aug 2013 08:41:54 -0400
>  From: Jonas Kuppler <jonas.kupp...@uni-duesseldorf.de>
>  Reply-To: Jonas Kuppler <jonas.kupp...@uni-duesseldorf.de>
>  Subject: Number of relative warp scores
>  To: morphmet@morphometrics.org
> 
>  Hello all,
> 
>  Currently I working on intraspecific varianz of flower shape and I
> am quite new to it. 
>  I have 10 flowers with 220 landmarks (how I got them see below)
> each. And I used tpsRelw to calculated the relative warps (RW). 
>  As far as I understood I should get 436 RWs (220*2 - 4), but when I
> save the "relative warp scores", and also in the report, I only get 9
> RWs. This number seems quite low. Does anyone know why I only get 9
> RWs? Or if I did a mistake?
>  If you need additional information please ask. 
> 
>  Thank you,
> 
>  Jonas
> 
>  How I got my landmarks:
>  It is a flower with 4 Petals and I have 8 Landmarks and 4 curves
> with 55 Semilandmarks. One "Start" and One "End" Semilandmark is the
> same as a Landmark. 
>  Then I used tpsUtil to equal landmarks and semilandmarks ("append
> tps Curve to landmarks") and delete the Semilandmarks which are
> overlapping with Landmarks (tpsUtil: "Delete/reorder landmarks"). 
>  So I have 220 landmarks. So I created a "sliders file" for tpsRelw
>  And I calculated the relative warps with tpsRelw. 
> 
>  *
>  *
>  *
> 
> --
> Jonas Kuppler, PhD student
> Institute of Sensory Ecology
> Heinrich-Heine-University
> Duesseldorf - Germany
> E-Mail: jonas.kupp...@uni-duesseldorf.de
> 
> ----- End forwarded message -----

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


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