Hello, 

I don't know what anti-signal is. Do you mean negative phylogenetic 
autocorrelation?

When there is negative autocorrelation, Moran's index / Abouheif's statistic is 
smaller than permuted values (use 'plot' on the krandtest object).

Cheers
Thibaut

________________________________________
From: [email protected] [[email protected]] on 
behalf of Francois KECK [[email protected]]
Sent: 11 February 2013 13:47
To: [email protected]
Subject: Re: [R-sig-phylo] Some questions about pPCA

Hello Thibaut,
Thank you for these clarifications.
About 2: I understand how to use the abouheif test to detect the
phylogenetic signal (up to now I used it with the patristic matrix of
proximities). But I don't know how to use it to test the anti-signal.
Absence of signal is not anti-signal, or missed something?

Cheers
François


> Hello François,
>
> 1. In pPCA, the sum of the eigenvalues is often meaningless, because it can 
> be a mixture of large positive and negative values. So this ratio is no 
> longer relevant. Selection of eigenvalues can be based on the amount of 
> variance and autocorrelation (Moran's I) represented (each eigenvalue is a 
> product of the two). See summary.ppca and screeplot.ppca.
>
> 2. The best way is testing positive/negative phylogenetic autocorrelation 
> ("global/local" structures in the paper's terminology) beforehand. See 
> section 3.1 of the vignette "Quantifying and testing phylogenetic signal" - 
> abouheif.moran will test all variables at once (just make sure to use the 
> same measure of proximity in the pPCA).
>
> 3. As you suspected, testing phylogenetic signal of pPCA components is 
> meaningless, as these synthetic variables are already optimized for 
> phylogenetic signal. Estimating ancestral states is always possible; I can 
> see at least two ways of doing it: a) reconstruct the ancestral state of 
> every traits, and then compute the coordinates of the nodes on the pPCA axis 
> using the loadings of the analysis. In this case, nodes are used as 
> 'supplementary individuals'. b) reconstruct directly the principal component 
> of pPCA; in this case, the component needs to have a clear-cut interpretation.
>
> Cheers
>
> Thibaut
>
> ________________________________________
> From: [email protected] [[email protected]] 
> on behalf of Francois KECK [[email protected]]
> Sent: 11 February 2013 10:05
> To: [email protected]
> Subject: [R-sig-phylo] Some questions about pPCA
>
> Dear all,
> I'm a new subscriber to this list since I just started to play with
> phylogenetic data with R. The task is facilitated by reading the
> excellent book of E. Paradis. However I recently discovered the pPCA
> method (as introduced by Jombart et al. 2010) and i'm very interested in
> it to work on phylogenetic signal but I still have some questions...
>
> 1. I'm a long time user of ade4 to perform multivariate analysis. For a
> classic PCA I usually calculate the % of variance taking account by each
> axis using :
>       myPCA$eig/sum(myPCA$eig) * 100
> I'd just like to be sure I can do the same with a pPCA, using absolute
> values of the eigenvalues, e.g.:
>       abs(myPPCA$eig)/sum(abs(myPPCA$eig)) * 10
>
> 2. In their paper, Jombart et al. present some figures where they
> sometimes exclude directly the local or the global principal component
> because they know it doesn't exist (these are simulated data). Is there
> a way to test the global vs the local component with "real data"? With
> my own data I have a very low "local eigenvector" so I wonder if I could
> only focus on global structure. Can I justify this choice with statistics?
>
> 3. I think it could be interesting to play with the species coordinates
> especially with the global component. But does it make sense to assess
> the phylogenetic signal or to estimate ancestral characters on these
> constrained data? I'm a little doubtful about that and your point of
> view is welcome.
>
> Thank you for your help.
>
> François KECK
>
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>

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