renormsolCP: Scaling of the Candecomp/Parafac solution
In ThreeWay: Three-Way Component Analysis

Description Usage Arguments Value Author(s) Examples

Scales the Candecomp/Parafac solution producing two component matrices normalized to unit sum of squares (and compensating this scaling in the remaining component matrix).

1	renormsolCP(A, B, C, mode)

`A`	Component matrix for the `A`-mode
`B`	Component matrix for the `B`-mode
`C`	Component matrix for the `C`-mode
`mode`	Scaling option (1 if scaling for B- and C-modes, 2 if scaling for A- and C-modes, 3 if scaling for A- and B-modes)

A list including the following components:

`A`	Component matrix for the `A`-mode after normalization
`B`	Component matrix for the `B`-mode after normalization
`C`	Component matrix for the `C`-mode after normalization

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

data(TV)
TVdata=TV[[1]]
# permutation of the modes so that the A-mode refers to students
TVdata <- permnew(TVdata, 16, 15, 30)
TVdata <- permnew(TVdata, 15, 30, 16)
# CP solution
TVcp <- CPfuncrep(TVdata, 30, 16, 15, 2, 1, 1, 1, 0, 1e-6, 10000)
# sums of squares of A, B and C
sum(TVcp$A^2)
sum(TVcp$B^2)
sum(TVcp$C^2)
# Renormalization by scaling B- and C-modes
TVcpScalBC <- renormsolCP(TVcp$A, TVcp$B, TVcp$C, 1)
# sums of squares of A, B and C after renormalization
sum(TVcpScalBC$A^2)
sum(TVcpScalBC$B^2)
sum(TVcpScalBC$C^2)