pcasup2: PCASup Analysis

Description Usage Arguments Value Note Author(s) References See Also Examples

Description

Computes PCASup analysis for the directions concerning the reduced modes.

Usage

1
 pcasup2(X, n, m, p, model)

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

model

Tucker2 model choice (1 for T2-AB, 2 for T2-AC, 3 for T2-BC)

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)

Note

Cumulative sum of eigenvalues and fits from PCAsup applied to the reduced modes are automatically printed.

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.
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.

See Also

T2

Examples

1
2
3
data(Bus)
# PCA-sup for T2-AB
pcasupBus <- pcasup2(Bus, 7, 5, 37, 1)

Example output

PCASUP: eigenvalues mode A
       Eigenvalue Fit(%)
Comp.1  394418.41  98.04
Comp.2    4973.00  99.28
Comp.3    1300.18  99.60
Comp.4     648.39  99.76
Comp.5     400.69  99.86
Comp.6     318.45  99.94
Comp.7     242.88 100.00
PCASUP: eigenvalues mode B
       Eigenvalue Fit(%)
Comp.1  396973.69  98.68
Comp.2    3403.74  99.52
Comp.3    1251.26  99.83
Comp.4     377.82  99.93
Comp.5     295.50 100.00

ThreeWay documentation built on May 2, 2019, 9:20 a.m.

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