Blau's and IQV Index — heterogeneity • netmem

This index was used by Blau (1977) to distinguish between the relative prevalence of between and within-group ties. This measure can be interpreted as heterogeneity at the network level.

Usage

heterogeneity(att, normalized = FALSE)

Arguments

att: Categorical attribute of the nodes
normalized: Whether to return IQV index

Value

Numerical value of the Blau index.

If normalized = TRUE, then the function also return IQV index.

References

Agresti, A. and Agresti, B. (1978). Statistical Analysis of Qualitative Variation. Sociological Methodology, 9, 204-237. doi: https://doi.org/10.2307/270810

Blau, P. M. (1977). Inequality and heterogeneity. New York: Free Press.

Examples


a <- rep(1:10, 10)
heterogeneity(a, normalized = TRUE)
#> $blau
#>   1 
#> 0.9 
#> 
#> $iqv
#> 1 
#> 1 
#> 

a <- rep(1:2, 10)
heterogeneity(a, normalized = TRUE)
#> $blau
#>   1 
#> 0.5 
#> 
#> $iqv
#> 1 
#> 1 
#>