Dear morphometricians,
some time ago you gave me helpful suggestions about how to compare shape
trajectories between groups by computing the angle between the vectors
(for instance, allometric trajectories of males and females).
I would like to ask you some more questions about comparisons of angles.
Thanks in advance for your help.

1) Is there any resampling statistics that allows to test for the
significance of the angle between vectors of 2 (or more) groups using
the shape variables obtained in the initial superimposition of the
landmark configurations? I guess that if confidence intervals are
computed using bootstraps, each time a bootstrap is performed a new
superimposition has to be done, then new vectors are computed and the
angle is calculated. Performing a new superimposition at each stage of
the resampling procedure is what I'd like to avoid, but I am not sure
whether there is any alternative to bootstraps for doing this.

2) Is it possible to compare the angle of two vectors obtained with
separate regressions (or PLS etc.) of shape (same group) onto two
different variables, or sets of variables (say, shape onto V1 vs shape
onto V2)?

3) If 2) is possible, can the significance of the angle
shape-V1/shape-V2 be tested by performing  permutations of the order of
specimens in (say) V1? 

Again, thanks.
Cheers

Andrea



Dr. Andrea Cardini
Hull York Medical School
The University of York, Heslington, York YO10 5DD, UK
&
The University of Hull,Cottingham Road, Hull HU6 7RX, UK
tel. 01904 321752
fax 01904 321696
E-mail: [EMAIL PROTECTED]
http://www.york.ac.uk/res/fme/people/andrea.htm
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