T2runsApproxFit function

Approximated Tucker2 solutions

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.

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)

Returns

• 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.

References

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

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

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)