T2runsApproxFit {ThreeWay}

Approximated Tucker2 solutions

Description

Computes all the approximated Tucker2 solutions using PCASup results with r1 (from 1 to maxa, if A-mode reduced), r2 (from 1 to maxb, if B-mode reduced) and r3 (from 1 to maxc, if C-mode reduced) components.

Usage

T2runsApproxFit(X, n, m, p, maxa, maxb, maxc, model)

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

maxa

Maximum dimensionality for the A-mode

maxb

Maximum dimensionality for the B-mode

maxc

Maximum dimensionality for the C-mode

model

Tucker2 model choice (1 for T2-AB, 2 for T2-AC, 3 for T2-BC)

Value

out

Matrix with columns: number of components for the A-mode, number of components for the B-mode, number of components for the C-mode, goodness of fit (%), total number of components

Note

Cumulative sum of eigenvalues and fits from PCAsup applied to the reduced modes are automatically printed.

Author(s)

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

References

H.A.L. Kiers (1991). Hierarchical relations among three-way methods. Psychometrika 56:449–470.

See Also

DimSelector, LineCon, pcasup2, T2

Examples

data(Bus)
# Fit values of T2-AB with different numbers of components 
# (from 1 to 3 for the B-mode, from 1 to 5 for the C-mode)
FitT2 <- T2runsApproxFit(Bus, 7, 5, 37, 7, 3, 5, 3)