T3fitpartitioning {ThreeWay}

Fit of each entity per mode

Description

Computation of fit contributions by combinations of modes in case of ‘renormalization’.

Usage

T3fitpartitioning(Xprep, n, m, p, AS, BT, CU, K, renormmode, laba, labb, labc)

Arguments

Xprep

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

AS

Component matrix for the A-mode

BT

Component matrix for the B-mode

CU

Component matrix for the C-mode

K

Matricized core array (frontal slices)

renormmode

Renormalization option (0 for no renormalization, 1 for fit contribution to total fit of each B- and C-mode component combination, 2 for fit contribution to total fit of each A- and C-mode component combination, 3 for fit contribution to total fit of each A- and B-mode component combination)

laba

Optional vector of length n containing the labels of the A-mode entities

labb

Optional vector of length m containing the labels of the B-mode entities

labc

Optional vector of length p containing the labels of the C-mode entities

Value

A list including the following components:

fitA

Fit contribution for the A-mode entities

fitB

Fit contribution for the B-mode entities

fitC

Fit contribution for the C-mode entities

ABcontr

Contribution to the goodness of fit contributions by combinations of A- and B-modes in case of ‘renormalization’

BCcontr

Contribution to the goodness of fit contributions by combinations of B- and C-modes in case of ‘renormalization’

ACcontr

Contribution to the goodness of fit contributions by combinations of A- and C-modes in case of ‘renormalization’

Note

The computation of the fit contributions by combinations of modes is done in case of ‘renormalization’.
In Tucker1, renormmode must be equal to 0.

Author(s)

Maria Antonietta Del Ferraro [e-mail]
Henk A.L. Kiers [e-mail]
Paolo Giordani [e-mail]

See Also

T3, T2, T1

Examples

data(Bus)
# labels for Bus data
laba <- rownames(Bus)
labb <- substr(colnames(Bus)[1:5], 1, 1)
labc <- substr(colnames(Bus)[seq(1,ncol(Bus),5)], 3, 8)
# T3 solution
BusT3 <- T3funcrep(Bus, 7, 5, 37, 2, 2, 2, 0, 1e-6)
# Fitpartitioning of the T3 solution
FitT3 <- T3fitpartitioning(Bus, 7, 5, 37, BusT3$A, BusT3$B, BusT3$C, BusT3$H, 0, 
 laba, labb, labc)
# Fitpartitioning of the T3 solution (when labels are not available)
FitT3 <- T3fitpartitioning(Bus, 7, 5, 37, BusT3$A, BusT3$B, BusT3$C, BusT3$H, 0)