linkSignificance allows to estimate the statistical deviations of an observed graph from a ghype model.

linkSignificance(
graph,
model,
under = FALSE,
log.p = FALSE,
binomial.approximation = FALSE,
give_pvals = FALSE
)

## Arguments

graph an adjacency matrix or a igraph object. a ghype model boolean, estimate under-represented deviations? Default FALSE. boolean, return log values of probabilities boolean, force binomial? default FALSE boolean, return p-values for both under and over significance?

## Value

matrix of probabilities with same size as adjacency matrix.

## Examples

data("adj_karate")
fullmodel <- ghype(graph = adj_karate, directed = FALSE, selfloops = FALSE)
linkSignificance(graph = adj_karate, model = fullmodel, under=FALSE)#>            [,1]      [,2]      [,3]      [,4]      [,5]      [,6]      [,7]
#>  [1,] 0.0000000 0.3692607 0.3818988 0.3511372 0.3511456 0.3511389 0.3511396
#>  [2,] 0.3692607 0.0000000 0.3913526 0.3511401 1.0000000 1.0000000 1.0000000
#>  [3,] 0.3818988 0.3913526 0.0000000 0.3511389 1.0000000 1.0000000 1.0000000
#>  [4,] 0.3511372 0.3511401 0.3511389 0.0000000 1.0000000 1.0000000 1.0000000
#>  [5,] 0.3511456 1.0000000 1.0000000 1.0000000 0.0000000 1.0000000 0.3220270
#>  [6,] 0.3511389 1.0000000 1.0000000 1.0000000 1.0000000 0.0000000 0.3819993
#>  [7,] 0.3511396 1.0000000 1.0000000 1.0000000 0.3220270 0.3819993 0.0000000
#>  [8,] 0.3220130 0.3692809 0.3692770 0.3511532 1.0000000 1.0000000 1.0000000
#>  [9,] 0.3220126 1.0000000 0.3819194 1.0000000 1.0000000 1.0000000 1.0000000
#> [10,] 1.0000000 1.0000000 0.2633541 1.0000000 1.0000000 1.0000000 1.0000000
#> [11,] 0.3220148 1.0000000 1.0000000 1.0000000 0.3512128 0.3511786 1.0000000
#> [12,] 0.3511708 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [13,] 0.2633532 1.0000000 1.0000000 0.3512028 1.0000000 1.0000000 1.0000000
#> [14,] 0.3511375 0.3819246 0.3511394 0.3511475 1.0000000 1.0000000 1.0000000
#> [15,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [16,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [17,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 0.3511936 0.3511983
#> [18,] 0.3220232 0.2633543 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [19,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [20,] 0.3220179 0.3220219 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [21,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [22,] 0.3220200 0.3220248 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [23,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [24,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [25,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [26,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [27,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [28,] 1.0000000 1.0000000 0.3220138 1.0000000 1.0000000 1.0000000 1.0000000
#> [29,] 1.0000000 1.0000000 0.3220186 1.0000000 1.0000000 1.0000000 1.0000000
#> [30,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [31,] 1.0000000 0.3220152 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [32,] 0.3220124 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [33,] 1.0000000 1.0000000 0.3220127 1.0000000 1.0000000 1.0000000 1.0000000
#> [34,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#>            [,8]      [,9]     [,10]     [,11]     [,12]     [,13]     [,14]
#>  [1,] 0.3220130 0.3220126 1.0000000 0.3220148 0.3511708 0.2633532 0.3511375
#>  [2,] 0.3692809 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 0.3819246
#>  [3,] 0.3692770 0.3819194 0.2633541 1.0000000 1.0000000 1.0000000 0.3511394
#>  [4,] 0.3511532 1.0000000 1.0000000 1.0000000 1.0000000 0.3512028 0.3511475
#>  [5,] 1.0000000 1.0000000 1.0000000 0.3512128 1.0000000 1.0000000 1.0000000
#>  [6,] 1.0000000 1.0000000 1.0000000 0.3511786 1.0000000 1.0000000 1.0000000
#>  [7,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#>  [8,] 0.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#>  [9,] 1.0000000 0.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [10,] 1.0000000 1.0000000 0.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [11,] 1.0000000 1.0000000 1.0000000 0.0000000 1.0000000 1.0000000 1.0000000
#> [12,] 1.0000000 1.0000000 1.0000000 1.0000000 0.0000000 1.0000000 1.0000000
#> [13,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 0.0000000 1.0000000
#> [14,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 0.0000000
#> [15,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [16,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [17,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [18,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [19,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [20,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [21,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [22,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [23,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [24,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [25,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [26,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [27,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [28,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [29,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [30,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [31,] 1.0000000 0.3511592 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [32,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [33,] 1.0000000 0.3511382 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [34,] 1.0000000 0.3692644 0.3220214 1.0000000 1.0000000 1.0000000 0.3511368
#>           [,15]     [,16]     [,17]     [,18]     [,19]     [,20]     [,21]
#>  [1,] 1.0000000 1.0000000 1.0000000 0.3220232 1.0000000 0.3220179 1.0000000
#>  [2,] 1.0000000 1.0000000 1.0000000 0.2633543 1.0000000 0.3220219 1.0000000
#>  [3,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#>  [4,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#>  [5,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#>  [6,] 1.0000000 1.0000000 0.3511936 1.0000000 1.0000000 1.0000000 1.0000000
#>  [7,] 1.0000000 1.0000000 0.3511983 1.0000000 1.0000000 1.0000000 1.0000000
#>  [8,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#>  [9,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [10,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [11,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [12,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [13,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [14,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [15,] 0.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [16,] 1.0000000 0.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [17,] 1.0000000 1.0000000 0.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [18,] 1.0000000 1.0000000 1.0000000 0.0000000 1.0000000 1.0000000 1.0000000
#> [19,] 1.0000000 1.0000000 1.0000000 1.0000000 0.0000000 1.0000000 1.0000000
#> [20,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 0.0000000 1.0000000
#> [21,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 0.0000000
#> [22,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [23,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [24,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [25,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [26,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [27,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [28,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [29,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [30,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [31,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [32,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [33,] 0.3511579 0.3511499 1.0000000 1.0000000 0.2633538 1.0000000 0.3511647
#> [34,] 0.3220168 0.3692841 1.0000000 1.0000000 0.3220214 0.2633528 0.2633530
#>           [,22]     [,23]     [,24]     [,25]     [,26]     [,27]     [,28]
#>  [1,] 0.3220200 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#>  [2,] 0.3220248 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#>  [3,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 0.3220138
#>  [4,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#>  [5,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#>  [6,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#>  [7,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#>  [8,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#>  [9,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [10,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [11,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [12,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [13,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [14,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [15,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [16,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [17,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [18,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [19,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [20,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [21,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [22,] 0.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [23,] 1.0000000 0.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [24,] 1.0000000 1.0000000 0.0000000 1.0000000 0.3819543 1.0000000 0.3692931
#> [25,] 1.0000000 1.0000000 1.0000000 0.0000000 0.3220278 1.0000000 0.3511891
#> [26,] 1.0000000 1.0000000 0.3819543 0.3220278 0.0000000 1.0000000 1.0000000
#> [27,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 0.0000000 1.0000000
#> [28,] 1.0000000 1.0000000 0.3692931 0.3511891 1.0000000 1.0000000 0.0000000
#> [29,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [30,] 1.0000000 1.0000000 0.3511497 1.0000000 1.0000000 0.3693977 1.0000000
#> [31,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [32,] 1.0000000 1.0000000 1.0000000 0.3220218 0.3988727 1.0000000 1.0000000
#> [33,] 1.0000000 0.3220189 0.3819084 1.0000000 1.0000000 1.0000000 1.0000000
#> [34,] 1.0000000 0.3511518 0.3692621 1.0000000 1.0000000 0.3220156 0.3692684
#>           [,29]     [,30]     [,31]     [,32]     [,33]     [,34]
#>  [1,] 1.0000000 1.0000000 1.0000000 0.3220124 1.0000000 1.0000000
#>  [2,] 1.0000000 1.0000000 0.3220152 1.0000000 1.0000000 1.0000000
#>  [3,] 0.3220186 1.0000000 1.0000000 1.0000000 0.3220127 1.0000000
#>  [4,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#>  [5,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#>  [6,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#>  [7,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#>  [8,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#>  [9,] 1.0000000 1.0000000 0.3511592 1.0000000 0.3511382 0.3692644
#> [10,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 0.3220214
#> [11,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [12,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [13,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [14,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 0.3511368
#> [15,] 1.0000000 1.0000000 1.0000000 1.0000000 0.3511579 0.3220168
#> [16,] 1.0000000 1.0000000 1.0000000 1.0000000 0.3511499 0.3692841
#> [17,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [18,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [19,] 1.0000000 1.0000000 1.0000000 1.0000000 0.2633538 0.3220214
#> [20,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 0.2633528
#> [21,] 1.0000000 1.0000000 1.0000000 1.0000000 0.3511647 0.2633530
#> [22,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#> [23,] 1.0000000 1.0000000 1.0000000 1.0000000 0.3220189 0.3511518
#> [24,] 1.0000000 0.3511497 1.0000000 1.0000000 0.3819084 0.3692621
#> [25,] 1.0000000 1.0000000 1.0000000 0.3220218 1.0000000 1.0000000
#> [26,] 1.0000000 1.0000000 1.0000000 0.3988727 1.0000000 1.0000000
#> [27,] 1.0000000 0.3693977 1.0000000 1.0000000 1.0000000 0.3220156
#> [28,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 0.3692684
#> [29,] 0.0000000 1.0000000 1.0000000 0.3220238 1.0000000 0.3220156
#> [30,] 1.0000000 0.0000000 1.0000000 1.0000000 0.3692733 0.3220128
#> [31,] 1.0000000 1.0000000 0.0000000 1.0000000 0.3511425 0.3511399
#> [32,] 0.3220238 1.0000000 1.0000000 0.0000000 0.3692647 0.3692621
#> [33,] 1.0000000 0.3692733 0.3511425 0.3692647 0.0000000 0.3818967
#> [34,] 0.3220156 0.3220128 0.3511399 0.3692621 0.3818967 0.0000000