cent3: Centering of a matricized array
In ThreeWay: Three-Way Component Analysis

Description Usage Arguments Value Author(s) References See Also Examples

Centering of a matricized array across one mode (modes indicated by 1,2, or 3).

1	cent3(X, n, m, p, mode)

`X`	Matrix (or data.frame coerced to a matrix) of order (`n` `x` `mp`) containing the matricized array (frontal slices)
`n`	Number of `A`-mode entities
`m`	Number of `B`-mode entities
`p`	Number of `C`-mode entities
`mode`	Centering option (1 if `X` is centered across `A`-mode, 2 if `X` is centered across `B`-mode, 3 if `X` is centered across `C`-mode)

`Y`	Matrix of order (`n` `x` `mp`) containing the centered matricized array (frontal slices)

Maria Antonietta Del Ferraro mariaantonietta.delferraro@yahoo.it
Henk A.L. Kiers h.a.l.kiers@rug.nl
Paolo Giordani paolo.giordani@uniroma1.it

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

Cc, norm3

X <- array(c(rnorm(120)),c(6,5,4))
# matricized array
Y <- supermat(X)
# data centered across A-mode
Z <- cent3(Y$Xa, 6, 5, 4, 1)
apply(Z,2,mean)
# data centered also across B-modes (double centering)
Z <- cent3(Z, 6, 5, 4, 2)
apply(Z,1,mean)
apply(Z,2,mean)