Skip to main content
. Author manuscript; available in PMC: 2023 Jan 1.
Published in final edited form as: Soc Networks. 2021 Jun 18;68:148–178. doi: 10.1016/j.socnet.2021.05.002

Table A3.

Percent Decrease in Total Bias under Different Imputation Strategies: Centrality Measures for Directed Networks.

Measure Imputation Prison
Sorority
6th Grade
Prosper
RC Elite
HS 13
HS 24
Correlation with Centrality
Correlation with Centrality
Correlation with Centrality
Correlation with Centrality
Correlation with Centrality
Correlation with Centrality
Correlation with Centrality
−.75 0 .75 −.75 0 .75 −.75 0 .75 −.75 0 .75 −.75 0 .75 −.75 0 .75 −.75 0 .75
Indegree Probabilistic 4 5 6 6 14 20 −6 −2 2 2 3 3 −1 −1 −1 6 7 9 10 12 15
Symmetric −31 −25 −27 −24 −7 5 −103 −92 −71 −54 −51 −50 −226 −238 −277 −42 −41 −41 −29 −25 −21
Asymmetric 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Model-based Simple −52 −44 −42 −44 −29 −15 −68 −59 −46 −78 −63 −52 −218 −254 −262 −71 −64 −57 −59 −51 −40
Model-based Complex −43 −37 −34 −35 −20 −9 −63 −52 −37 −65 −51 −41 −168 −190 −210 −50 −44 −34 −42 −33 −22
Total Degree Probabilistic 60 63 68 69 74 77 52 55 61 61 63 67 0 6 47 57 60 67 63 66 71
Symmetric 51 56 63 64 71 76 34 40 52 49 53 60 −120 −108 −15 44 48 57 53 58 66
Asymmetric 60 62 67 67 71 74 57 58 63 62 63 67 1 7 48 59 62 67 64 66 71
Model-based Simple 40 47 53 52 60 67 39 43 51 37 43 51 −79 −79 −10 35 41 50 43 48 57
Model-based Complex 43 48 55 55 62 68 43 47 55 41 47 55 −45 −44 7 42 47 57 48 53 62
Bon Power Probabilistic 55 57 62 56 60 64 57 58 60 57 57 61 66 73 87 63 66 73 64 67 70
Symmetric 55 57 62 56 60 64 57 58 60 57 57 61 66 73 87 63 66 73 64 67 70
Asymmetric 55 57 62 56 60 64 57 58 60 57 57 61 66 73 87 63 66 73 64 67 70
Model-based Simple 40 49 57 38 48 57 42 49 57 29 37 49 53 60 80 31 41 53 37 45 56
Model-based Complex 39 49 57 36 47 56 47 53 61 32 40 52 57 63 80 43 51 63 44 52 62
Closeness Probabilistic 49 56 62 55 59 64 79 84 88 51 56 61 48 49 51 62 66 70 67 72 75
Symmetric 36 51 62 42 48 54 83 90 93 58 64 67 −77 −58 −46 78 83 86 78 83 87
Asymmetric 33 39 46 40 47 54 32 32 34 21 28 35 49 49 53 8 9 12 7 9 13
Model-based Simple 49 65 73 33 52 61 87 94 95 66 76 80 0 15 18 79 85 88 84 89 91
Model-based Complex 49 63 71 37 52 59 88 94 96 67 76 79 10 24 23 81 86 89 85 89 91
Betweenness Probabilistic 30 32 32 22 21 22 29 35 34 28 29 28 23 21 13 37 37 34 46 46 45
Symmetric 3 13 20 4 4 6 −18 −3 4 1 14 16 −151 −136 −95 10 12 11 25 28 29
Asymmetric 24 24 24 13 13 13 19 15 13 11 10 10 51 46 38 9 8 7 10 9 8
Model-based Simple −22 −3 9 −8 −2 3 −4 6 8 −10 6 11 −145 −144 −110 −6 0 1 10 15 19
Model-based Complex −15 1 11 −1 4 6 7 16 15 −1 12 14 −120 −109 −80 7 12 12 19 23 27