Redundancy measures — redundancy • netmem

Redundancy measures of the structural holes theory for binary matrixes

Usage

redundancy(A, ego = NULL, digraph = FALSE, weighted = FALSE)

Arguments

A: A symmetric matrix object
ego: Name of ego in the matrix
digraph: Whether the matrix is directed or undirected
weighted: Whether the matrix is weighted or not

Value

This function returns redundancy, effective size and efficincy measures (Burt, 1992).

References

Burt, R.S., 1992. Structural Holes: the Social Structure of Competition. Harvard University Press, Cambridge.

Borgatti, S., 1997. Unpacking Burt's redundancy measure. Connections, 20(1): 35-38. doi: http://www.analytictech.com/connections/v20(1)/holes.htm

Author

Alejandro Espinosa-Rada

Examples


A <- matrix(c(
  0, 1, 0, 0, 1, 1, 1,
  1, 0, 0, 1, 0, 0, 1,
  0, 0, 0, 0, 0, 0, 1,
  0, 1, 0, 0, 0, 0, 1,
  1, 0, 0, 0, 0, 0, 1,
  1, 0, 0, 0, 0, 0, 1,
  1, 1, 1, 1, 1, 1, 0
), ncol = 7, byrow = TRUE)
rownames(A) <- letters[1:nrow(A)]
colnames(A) <- letters[1:ncol(A)]
redundancy(A, ego = "g")
#> $redundancy
#> [1] 1.333333
#> 
#> $effective_size
#> [1] 4.666667
#> 
#> $efficiency
#> [1] 0.7777778
#>