ThreeWay (version 1.1.4)

splithalfT3: Split-Half Analysis

Description

Performs split-half analysis for Tucker3.

Usage

splithalfT3(X, n, m, p, r1, r2, r3, centopt, normopt, renormmode, 
  wa_rel, wb_rel, wc_rel, addanal, conv, laba, labb, labc)

Value

Afull

Component matrix for the A-mode (full data)

As1

Component matrix for the A-mode (split n.1)

As2

Component matrix for the A-mode (split n.2)

Bfull

Component matrix for the B-mode (full data)

Bs1

Component matrix for the B-mode (split n.1)

Bs2

Component matrix for the B-mode (split n.2)

Cfull

Component matrix for the C-mode (full data)

Cs1

Component matrix for the C-mode (split n.1)

Cs2

Component matrix for the C-mode (split n.2)

Kfull

Matricized core array (frontal slices) (full data)

Ks1

Matricized core array (frontal slices) (split n.1)

Ks2

Matricized core array (frontal slices) (split n.2)

Kss1

Matricized core array (frontal slices) (using full data solutions for A,B and C for split n.1)

Kss2

Matricized core array (frontal slices) (using full data solutions for A,B and C for split n.2)

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

r1

Number of extracted components for the A-mode

r2

Number of extracted components for the B-mode

r3

Number of extracted components for the C-mode

centopt

Centering option (see cent3)

normopt

Normalization option (see norm3)

renormmode

Renormalization option (see renormsolT3)

wa_rel

Relative weight for simplicity of A-mode

wb_rel

Relative weight for simplicity of B-mode

wc_rel

Relative weight for simplicity of C-mode

addanal

Number of additional runs

conv

Convergence criterion

laba

Optional vector of length n containing the labels of the A-mode entities

labb

Optional vector of length m containing the labels of the B-mode entities

labc

Optional vector of length p containing the labels of the C-mode entities

Author

Maria Antonietta Del Ferraro
Henk A.L. Kiers
Paolo Giordani

References

P.M. Kroonenberg (2008). Applied Multiway Data Analysis. Wiley, New Jersey.

See Also

T3

Examples

data(Bus)
# labels for Bus data
laba <- rownames(Bus)
labb <- substr(colnames(Bus)[1:5],1,1)
labc <- substr(colnames(Bus)[seq(1,ncol(Bus),5)],3,8)
if (FALSE) {
# Split-half analysis on T3 solution
splitT3 <- splithalfT3(Bus, 7, 5, 37, 2, 2, 2, 0, 0, 0, 3, 3, 0, 5, 1e-6, 
 laba, labb, labc)
# Split-half analysis on T3 solution (when labels are not available)
splitT3 <- splithalfT3(Bus, 7, 5, 37, 2, 2, 2, 0, 0, 0, 3, 3, 0, 5, 1e-6)
}