T3fitpartitioning function

Fit of each entity per mode

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

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

Returns

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 mariaantonietta.delferraro@yahoo.it

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

Paolo Giordani paolo.giordani@uniroma1.it

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)