clusterscore: Calculates de synthetic variable of a cluster

In ClustOfVar: Clustering of Variables

Description

Calculates the synthetic variable of a cluster of variables. The variables can be quantitative or qualitative. The synthetic variable is the first principal component of PCAmix. The variance of the synthetic variable is the first eigenvalue. It is equal to the sum of squared correlations or correlation ratios to the synthetic variable. It measures the homogeneity of the cluster.

Usage

clusterscore(Z)

Arguments

Z	a centered and reduced data matrix obtained with the recod function

Value

f	the synthetic variables i.e. the scores on the first principal component of PCAmix
sv	the standard deviation of f i.e. the first singular value
v	the standardized loadings

Examples

data(decathlon)
A <- 1:5
Z <- PCAmixdata::recod(X.quanti=decathlon[1:10,A], X.quali=NULL)$Z
clusterscore(Z)
Z%*%as.matrix(clusterscore(Z)$v)
clusterscore(Z)$f

Example output

$f
 [1] -0.1363147 -1.2599131 -0.5412853 -0.5637026  2.2100909 -1.1289024
 [7] -1.3225565 -1.0872402  2.7494453  1.0803787

$sv
[1] 1.415399

$v
[1]  0.615697496 -0.433860679  0.443459688 -0.005209863  0.485796117

                [,1]
SEBRLE    -0.1363147
CLAY      -1.2599131
KARPOV    -0.5412853
BERNARD   -0.5637026
YURKOV     2.2100909
WARNERS   -1.1289024
ZSIVOCZKY -1.3225565
McMULLEN  -1.0872402
MARTINEAU  2.7494453
HERNU      1.0803787
 [1] -0.1363147 -1.2599131 -0.5412853 -0.5637026  2.2100909 -1.1289024
 [7] -1.3225565 -1.0872402  2.7494453  1.0803787

ClustOfVar documentation built on May 2, 2019, 12:37 p.m.