CPdimensionalityplot function

Plot fit of Candecomp/Parafac

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

CPdimensionalityplot(A, n, m, p)

Arguments

• A: A matrix with columns: number of components, goodness of fit (%)
• n: Number of A-mode entities
• m: Number of B-mode entities
• p: Number of C-mode entities

Note

A is usually the first and fourth columns of 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 & 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

CP, DimSelector

Examples

data(TV)
TVdata=TV[[1]]
# permutation of the modes so that the A-mode refers to students
TVdata <- permnew(TVdata, 16, 15, 30)
TVdata <- permnew(TVdata, 15, 30, 16)
# Fit values of CP with different numbers of components (from 1 to 5)
FitCP <- CPrunsFit(TVdata, 30, 16, 15, 5)
OutCP <- FitCP[,c(1,4)]
CPdimensionalityplot(OutCP, 30, 16, 15)