Computes PCASup analysis for the direction concerning the reduced mode.
Usage
pcasup1(X, n, m, p, model)
Arguments
X
Matrix (or data.frame coerced to a matrix) of order (nxmp) containing the matricized array (frontal slices)
n
Number of A-mode entities
m
Number of B-mode entities
p
Number of C-mode entities
model
Tucker1 model choice (1 for T1-A, 2 for T1-B, 3 for T2-C)
Value
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)
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.