concorscano: "simultaneous concorgmcano"

Description Usage Arguments Details Value References Examples

Description

concorgmcano with the set of r solutions simultaneously optimized

Usage

1
concorscano(x,px,y,py,r)

Arguments

x

is a n x p matrix of p centered variables

y

is a n x q matrix of q centered variables

px

is a row vector which contains the numbers pi, i=1,...,kx, of the kx subsets xi of x : ∑_i p_i=sum(px)=p. px is the partition vector of x

py

is the partition vector of y with ky subsets yj, j=1,...,ky

r

is the wanted number of successive solutions rmax <= min(min(px),min(py),n)

Details

This function uses the concors function

Value

list with following components

cx

is a n.kx x r matrix of kx row blocks cxi (n x r). Each row block contains r partial canonical components

cy

is a n.ky x r matrix of ky row blocks cyj (n x r). Each row block contains r partial canonical components

rho2

is a kx x ky x r array; for a fixed solution k, rho2[,,k] contains kxky squared correlations ρ(cx[n*(i-1)+1:n*i,k],cy[n*(j-1)+1:n*j,k])^2, simultaneously calculated between all the yj with all the xi

References

See svdbips

Examples

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x<-matrix(runif(50),10,5);y<-matrix(runif(90),10,9)
x<-scale(x);y<-scale(y)
cca<-concorscano(x,c(2,3),y,c(3,2,4),2)
diag(t(cca$cx[1:10,])%*%cca$cy[1:10,]/10)^2
cca$rho2[1,1,]

concor documentation built on May 2, 2019, 7:25 a.m.

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