ThreeWay: T3fitpartitioning – R documentation

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ThreeWay

T3fitpartitioning

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

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)

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

T3fitpartitioning

Description

Usage

Arguments

Value

Note

Author(s)

See Also

Examples

ThreeWay

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