Jaccard similarity — jaccard • netmem

Jaccard similarity identifies the changes of ties between two matrices.

Usage

jaccard(
  A,
  B,
  directed = TRUE,
  diag = FALSE,
  coparticipation = FALSE,
  bipartite = FALSE
)

Arguments

A: Binary matrix A
B: Binary matrix B
directed: Whether the matrix is symmetric
diag: Whether the diagonal should be considered
coparticipation: Select nodes that co-participate in both matrices
bipartite: Whether the matrix is incidence

Value

The output are: jaccard = Jaccard similarity, proportion = proportion among the ties present at a given observation of ties that are also present in the other matrix, and table = a table with the tie changes between matrices.

If coparticipation = TRUE, then also: match = The number of nodes present in both matrices; size_matrix1 = The size of the first matrix; size_matrix2 = The size of the second matrix; coparticipation1 = The percentage of nodes in the first matrix also present in the second matrix; coparticipation2 = The percentage of nodes in the second matrix also present in the first matrix: overlap_actors = Overlap of nodes between two matrices

#' If coparticipation = TRUE and bipartite = TRUE, then also: matchM1 = The number of nodes in the first 'mode' present in both matrices; matchM2 = The number of nodes in the second 'mode' present in both matrices; size_matrix1_M1 = The number of nodes in the first 'mode' of the first matrix; size_matrix1_M2 = The number of nodes in the second 'mode' of the first matrix; size_matrix2_M1 = The number of nodes in the first 'mode' of the second matrix; size_matrix2_M2 = The number of nodes in the second 'mode' of the second matrix; coparticipation1_M2 = The percentage of nodes of the first 'mode' in the first matrix present in the second matrix. coparticipation1_M2 = The percentage of nodes of the second 'mode' in the first matrix present in the second matrix. coparticipation2_M1 = The percentage of nodes of the first 'mode' in the second matrix present in the first matrix. coparticipation2_M2 = The percentage of nodes of the second 'mode' in the second matrix present in the first matrix. overlap_actors_M1 = Overlap between two matrices (nodes of the first 'mode') overlap_actors_M2 = Overlap between two matrices (nodes of the second 'mode')

References

Batagelj, V., and Bren, M. (1995). Comparing resemblance measures. Journal of Classification 12, 73–90.

Author

Alejandro Espinosa-Rada

Examples


A <- matrix(c(
  0, 1, 1, 0,
  1, 0, 0, 0,
  1, 0, 0, 0,
  0, 0, 1, 0
), byrow = TRUE, ncol = 4)
B <- matrix(c(
  0, 1, 1, 0,
  1, 0, 0, 0,
  1, 0, 0, 0,
  0, 0, 0, 0
), byrow = TRUE, ncol = 4)
jaccard(A, B, directed = TRUE)
#> $jaccard
#> [1] 0.8
#> 
#> $proportion
#> [1] 0.8
#> 
#> $table
#>       B
#> A      0 1 <NA>
#>   0    7 0    0
#>   1    1 4    0
#>   <NA> 0 0    0
#>