T3dimensionalityplot function

Plot fit of Tucker3

Plots fits against numbers of dimensions, with PQR as labels and fits against number of effective paramaters.

T3dimensionalityplot(A, n, m, p)

Arguments

• A: 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
• n: Number of A-mode entities
• m: Number of B-mode entities
• p: Number of C-mode entities

Note

A is usually the output of DimSelector.

The number of effective parameters in a Candecomp/Parafac analysis is discussed in Weesie and Van Houwelingen (1983).

References

E. Ceulemans & H.A.L. Kiers (2006). Selecting among three-mode principal component models of different types and complexities: A numerical convex hull based method. British Journal of Mathematical and Statistical Psychology 59:133--150.

J. Weesie and H. Van Houwelingen (1983). GEPCAM users' manual (first draft). Utrecht, The Netherlands: Institute of Mathematical Statistics, State University of Utrecht.

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, DimSelector

Examples

data(Bus)
# Fit values of T3 with different numbers of components (from 1 to 4 for the A-mode, 
# from 1 to 3 for the B-mode, from 1 to 5 for the C-mode)
FitT3 <- T3runsApproxFit(Bus,7,5,37,4,3,5)
T3dimensionalityplot(FitT3,7,5,37)