permnew function

Permutation of a matricized array

Permutes the matricized (n x m x p) array X to the matricized array Y of order (m x p x n).

permnew(X,n,m,p)

Arguments

• X: Matrix (or data.frame coerced to a matrix) containing the matricized array
• n: Number of A-mode entities of the array X
• m: Number of B-mode entities of the array X
• p: Number of C-mode entities of the array X

Returns

• Y: Matrix containing the permuted matricized array

References

H.A.L. Kiers (2000). Towards a standardized notation and terminology in multiway analysis. Journal of Chemometrics 14:105--122.

Author(s)

Maria Antonietta Del Ferraro mariaantonietta.delferraro@yahoo.it

Henk A.L. Kiers h.a.l.kiers@rug.nl

Paolo Giordani paolo.giordani@uniroma1.it

Examples

X <- array(c(rnorm(120)),c(6,5,4))
dim(X)
# matricized array
Xa <- supermat(X)$Xa
# matricized X with the A-mode entities in its rows
dim(Xa)
# matricized X with the B-mode entities in its rows
Xb <- permnew(Xa, 6, 5, 4)
dim(Xb)
# matricized X with the C-mode entities in its rows
Xc <- permnew(Xb, 5, 4, 6)
dim(Xc)