totalCor: Total Correlation

In EGAnet: Exploratory Graph Analysis – a Framework for Estimating the Number of Dimensions in Multivariate Data using Network Psychometrics

Total Correlation

Description

Computes the total correlation of a dataset

Usage

totalCor(data, base = 2.718282)

Arguments

data	Matrix or data frame. Should consist only of variables to be used in the analysis
base	Numeric (length = 1). Base to use for entropy. Defaults to exp(1) or 2.718282

Value

Returns a list containing:

Ind.Entropies	Individual entropies for each variable
Joint.Entropy	The joint entropy of the dataset
Total.Cor	The total correlation of the dataset
Normalized	Total correlation divided by the sum of the individual entropies minus the maximum of the individual entropies

Author(s)

Hudson F. Golino <hfg9s at virginia.edu>

References

Formalization of total correlation
Watanabe, S. (1960). Information theoretical analysis of multivariate correlation. IBM Journal of Research and Development 4, 66-82.

Applied implementation
Felix, L. M., Mansur-Alves, M., Teles, M., Jamison, L., & Golino, H. (2021). Longitudinal impact and effects of booster sessions in a cognitive training program for healthy older adults. Archives of Gerontology and Geriatrics, 94, 104337.

Examples

# Compute total correlation
totalCor(wmt2[,7:24])

EGAnet documentation built on Sept. 28, 2024, 9:06 a.m.