splithalfT3 function

Split-Half Analysis

Performs split-half analysis for Tucker3.

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

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

Returns

• 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)

References

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

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)
# 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)
## Not run:

# 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)
## End(Not run)