On 6.2.2015 22:54, Eugenia Leone Gold wrote:
Hi everyone,
I am trying to run a non-parametric test for group mean differences using PC 
scores and I can’t seem to find a function to do that. I am using PC scores 
instead of Procrustes Coordinates so as to have fewer variables than specimens. 
Does anyone know of a function that can do this? I came across the function 
adonis in Vegan, but that seems to use distances so I don’t think it’s 
applicable to this situation. Thanks for any help!

Best,
Eugenia

Hi Eugenia,

If you want (just) to make a statistical inference regarding difference between two shape means, you can use permutation test. You can do it in MorphoJ, geomorph, PAST...All of them are distance based.

If you want to perform hypothesis testing that describe patterns of shape variation and covariation in regard to some factor(s), solution is to perform appropriate linear model. However, regardless whether dependent variables are original procrustes residuals or PC scores of them, small sample size may be a problem in traditional (parametric) approaches. There is recent paper by Collyer and Adams published in Heredity (http://www.nature.com/hdy/journal/vaop/ncurrent/abs/hdy201475a.html) which demonstrated efficacy of non-parametric approach that is not constrained by low sample size compared to number of variables. That approach can evaluate effect size of factors in the model even if sample size is small relative to number of variables. Procedure is described and justified in the paper and you can perform it in the geomorph package (procD.lm function).

Regarding non-parametric tests, as far as I know, most of them use distance based methods. E.g. see here: http://www.entsoc.org/PDF/MUVE/6_NewMethod_MANOVA1_2.pdf

Hope this help.
All the best.

--
Marko Djurakic,

Teaching assistant,
Faculty of Sciences
Department of Biology and Ecology
University of Novi Sad
Trg Dositeja Obradovića 2
21 000 Novi Sad
Serbia

PhD student at Faculty of Biology,
University of Belgrade
Studentski trg 16
11000 Belgrade
Serbia

e-mail: [email protected]

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