pcasup3 function

PCASup Analysis

Computes PCASup analysis in all the three directions.

pcasup3(X, n, m, p)

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

Returns

A list including the following components: - A: Matrix of the eingenvectors of the supermatrix containing the frontal slices of the array (A-mode)

• B: Matrix of the eingenvectors of the supermatrix containing the horizontal slices of the array (B-mode)

• C: Matrix of the eingenvectors of the supermatrix containing the lateral slices of the array (C-mode)

• la: Vector of the eigenvalues of the supermatrix containing the frontal slices of the array (A-mode)

• lb: Vector of the eigenvalues of the supermatrix containing the horizontal slices of the array (B-mode)

• lc: Vector of the eigenvalues of the supermatrix containing the lateral slices of the array (C-mode)

Note

pcasup3 computes the Tucker3 solution according to Tucker (1966).

Cumulative sum of eigenvalues and fits from PCAsup applied to the A-, B- and C-modes are automatically printed.

References

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

H.A.L. Kiers (2000). Towards a standardized notation and terminology in multiway analysis. Journal of Chemometrics 14:105--122.

L.R Tucker (1966). Some mathematical notes on three-mode factor analysis. Psychometrika 31: 279--311.

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

Examples

data(Bus)
## Not run:

# PCA-sup
pcasupBus <- pcasup3(Bus, 7, 5, 37)
## End(Not run)