[R] meaning of iner etc. relating to cca(ade4)

2005-01-14 Thread Dominique Grüter
Does someone know the meaning of the following values relating to the 
cca-command?

 iner, inercum, inerC, inercumC
Thanks!
DOMI
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Re: [R] meaning of iner etc. relating to cca(ade4)

2005-01-14 Thread Stephane Dray
Hi Dominique,
please, if you have some questions about a particular package, do not send 
to R-Help. There is a list about ade4, see details at:

http://pbil.univ-lyon1.fr/ADE-4/adelist.html
cca is a correspondence analysis with constraint imposed by external 
information. Redundancy analysis (available in ade4 by the function pcaiv) 
is PCA with constraint.

Here is an example using pcaiv:
data(rhone)
pca1 - dudi.pca(rhone$tab, scan = FALSE, nf = 3)
iv1 - pcaiv(pca1, rhone$disch, scan = FALSE)
iv1$param
 iner inercum inerC inercumC ratio R2lambda
 6.27 6.275.52  5.52 0.879 0.671 3.7
 4.14 10.44.74  10.3 0.984 0.747 3.54
iner represent eigenvalues of the unconstrained analysis:
 pca1$eig[1:2]
[1] 6.274265 4.140947
inercum is equivalent to
cumsum(pca1$eig)
prediction of sites scores by environmental variables produce a new set 
score (often named LC scores), inerC represent variance of this scores:

diag(t(iv1$ls)%*%diag(iv1$lw)%*%as.matrix(iv1$ls))
   Axis1Axis2
5.515241 4.736362
inercumC is the cumsum.
ratio is simply inercum/inerCcum
Finally note that CCA or RDA find a site score that maximizes the variance 
explained by environmental variables. This is a product of variance by a R2:
 0.671*5.52  # lambda = R2*inerC
[1] 3.70392

At 10:11 14/01/2005, Dominique Grüter wrote:
Does someone know the meaning of the following values relating to the 
cca-command?

 iner, inercum, inerC, inercumC
Thanks!
DOMI
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Stéphane DRAY
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Département des Sciences Biologiques
Université de Montréal, C.P. 6128, succursale centre-ville
Montréal, Québec H3C 3J7, Canada
Tel : (514) 343-6111 poste 1233 Fax : (514) 343-2293
E-mail : [EMAIL PROTECTED]
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