hi all,
1-function mcoa :
$cos2 (squared cosines): correlation between the scores of individual tables and
the synthetic variable of the same rank (1st, 2nd, etc .).
$cov2: squared covariance between the scores of individual tables and the
synthetic variable of the same rank.
$lambda : eigenvalues of the separate analyses of individual tables weighted by
"inertia", "lambda1", etc.
2- RV:
the RV coefficient between the representations of individual table ($Tl1) with
the table of synthetic variables (reference, $SynVar).
you can use this function :
RV.mcoa <- function(m,...){
# see RV.rtest
# require(ade4)
if (!inherits(m, "mcoa"))
stop("non convenient data")
blo <- sort(unique(m$TL[, 1]))
nblo <- length(blo)
res <- NULL
for(i in 1:nblo){
X <- scale(m$SynVar, scale = FALSE)
Y <- scale(m$Tl1[m$TL[,1]==i,], scale = FALSE)
X <- X/(sum(svd(X)$d^4)^0.25)
Y <- Y/(sum(svd(Y)$d^4)^0.25)
X <- as.matrix(X)
Y <- as.matrix(Y)
w <- sum(svd(t(X) %*% Y)$d^2)
res <- c(res,w)
}
names(res)<- row.names(m$cov2)
return(res)
}
3-summary.mcoa:
Iner: inertia of individual tables for a rank given
Iner+: cumulative inertia of individual tables
Var: inertia of individual tables projected for a rank given
Var+: cumulative inertia projected
Cos2: correlation between the scores of individual tables and the synthetic variable
Cov2: squared covariance between the scores of individual tables and the
synthetic variable.
4-Example :
require(ade4)
?mcoa
data(friday87)
w1 <- data.frame(scale(friday87$fau, scal = FALSE))
w2 <- ktab.data.frame(w1, friday87$fau.blo, tabnames = friday87$tab.names)
# individual tables were weighted by the first eigenvalues
# of the separates analyses
mcoa1 <- mcoa(w2, "lambda1", scan = FALSE)
mcoa1
mcoa1$lambda
summary(mcoa1)
plot(mcoa1)
RV.mcoa(mcoa1)
# individual tables were weighted by the total inertia
mcoa2 <- mcoa(w2, "inertia", scan = FALSE)
mcoa2
mcoa2$lambda
summary(mcoa2)
plot(mcoa2)
RV.mcoa(mcoa2)
5-references:
Chessel D. & Hanafi M. (1996) Analyses de la co-inertie de K nuages de points.
Revue de Statistique Appliquée, 44, 35-60.
Bady P., Doledec S., Dumont B. & Fruget J.-F. (2004) Multiple co-inertia
analysis: a tool for assessing synchrony in the temporal variability of aquatic
communities. Comptes Rendus Biologies, 327, 29-36.
English documentation of ADE-4:
ftp://pbil.univ-lyon1.fr/pub/mac/ADE/ADE4/DocModPDFUS/KTA-MFA.pdf
French documentation :
http://pbil.univ-lyon1.fr/R/stage/stage6.pdf
http://pbil.univ-lyon1.fr/R/fichestd/tdr68.pdf
Hope this help,
Regards,
P.BADY
PS : I agree with you ... I think that "the Greens" are stronger ... ;"(
En réponse à Aedin <Aedin.Culhane@ucd.ie>:
> Bonjour
>
> Can I get $RV values from an MCOA? Is there a document (en français
> ou
> si possible en anglais??) which explains the interpretation of $cov2,
> $lambda and summary.mcoa?
>
> Merci,
>
> Aedin
>
> PS: Allez les verts dans le rugby Samedi :-)))
>
>
>
>
---------------------------------------------------------
Pierre BADY <°)))><
Université Claude Bernard Lyon 1
UMR CNRS 5023, LEHF
bat Alphonse Forel
43 boulevard du 11 novembre 1918
F-69622 VILLEURBANNE CEDEX
FRANCE
TEL : +33 (0)4 72 44 62 34
FAX : +33 (0)4 72 43 28 92
MEL : pierre.bady@univ-lyon1.fr
http://limnologie.univ-lyon1.fr
http://pierre.bady.free.fr/ (in construction)
This archive was generated by hypermail 2b30 : Tue Oct 18 2005 - 10:35:39 MEST