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CPrunsFit

Candecomp/Parafac solutions

Description

Computes all the Candecomp/Parafac solutions (CP) with r (from 1 to maxC) components.

Usage

CPrunsFit(X, n, m, p, maxC)

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
maxC

Maximum dimensionality for the A-mode

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

The structure of out is consistent with Tucker models. In CP, the first and forth columns are sufficient for choosing the optimal number of components.

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

References

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

See Also

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)
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

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