ThreeWay: norm3 – R documentation

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norm3

Normalization of a matricized array

Description

Normalization of a matricized array within one mode (modes indicated by 1,2, or 3) to sum of squares equal to product of size of other modes.

Usage

norm3(X, n, m, p, mode)

Arguments

`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`	Normalization option (1 if `X` is normalized within `A`-mode, 2 if `X` is normalized within `B`-mode, 3 if `X` is normalized within `C`-mode)

Value

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

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

References

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

Examples

X <- array(c(rnorm(120)), c(6,5,4))
# matricized array
Y <- supermat(X)
# data normalized within A-mode
Z <- norm3(Y$Xa, 6, 5, 4, 1)
apply(Z^2,1,sum)
# data normalized within C-mode
Z <- norm3(Y$Xa, 6, 5, 4, 3)
Z <- permnew(Z, 6, 5, 4)
Z <- permnew(Z, 5, 4, 6)
apply(Z^2, 1, sum)

ThreeWay

Three-Way Component Analysis

v1.1.3

GPL (>= 2)

Authors

Maria Antonietta Del Ferraro, Henk A.L. Kiers, Paolo Giordani

Initial release

2015-09-07