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. 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 A7.

Percent Decrease in Total Bias under Different Imputation Strategies: Centralization 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 5 14 15 16 7 7 8 6 6 5 0 0 0 6 6 7 9 10 10
Symmetric 43 44 44 58 66 70 49 50 55 51 50 51 6 6 8 36 40 44 46 51 54
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 54 50 45 54 60 60 42 37 32 55 50 44 6 4 6 36 35 33 43 42 39
Model-based Complex 56 62 58 36 62 68 77 70 61 66 73 65 27 20 17 72 67 60 79 74 66
Total Degree Probabilistic 43 42 39 60 66 67 60 61 63 58 59 57 7 7 8 39 43 46 48 52 54
Symmetric 52 66 72 40 58 66 78 79 80 70 77 81 20 19 22 76 82 87 87 92 93
Asymmetric 25 25 23 38 42 42 43 45 48 38 40 40 7 6 8 26 30 33 31 35 37
Model-based Simple 57 64 61 56 69 76 72 72 72 76 79 77 13 10 13 57 60 61 66 69 70
Model-based Complex 45 61 67 33 61 71 80 82 82 62 76 82 33 26 23 83 83 80 87 89 85
Bon Power Probabilistic 1 10 19 −13 −7 1 −86 −79 −62 −58 −43 −25 −213 −192 −203 −74 −69 −55 −82 −82 −63
Symmetric 1 10 19 −13 −7 1 −86 −79 −62 −58 −43 −25 −213 −192 −203 −74 −69 −55 −82 −82 −63
Asymmetric 1 10 19 −13 −7 1 −86 −79 −62 −58 −43 −25 −213 −192 −203 −74 −69 −55 −82 −82 −63
Model-based Simple 47 58 58 53 66 67 25 40 44 26 33 32 −361 −200 −186 21 28 10 16 10 −4
Model-based Complex 46 57 59 56 64 66 40 56 52 35 46 39 −391 −227 −233 45 51 30 46 46 25
Closeness Probabilistic 7 23 28 24 33 36 −18 20 25 19 45 43 −106 −48 34 −4 53 57 −8 59 71
Symmetric −14 14 37 26 47 56 −12 19 −18 34 68 72 −1824 −2102 −1381 −19 12 −3 5 48 35
Asymmetric −3 −8 −4 −13 −5 1 −12 −3 15 −11 2 6 −80 −26 44 3 3 5 5 15 17
Model-based Simple −27 25 46 9 36 50 −10 7 −47 4 50 54 −566 −540 −317 −32 −7 −26 −9 11 −4
Model-based Complex −33 28 52 23 53 63 −12 16 −25 15 70 75 −264 −223 −127 −36 35 17 −9 52 33
Betweenness Probabilistic 46 40 36 48 42 39 35 30 25 62 56 50 35 30 27 65 58 51 50 36 25
Symmetric 72 72 68 71 69 64 7 −2 −16 67 64 62 −771 −675 −556 43 33 19 45 30 14
Asymmetric 15 11 8 10 7 5 58 44 25 26 16 11 24 19 16 35 12 −20 40 7 −33
Model-based Simple 67 67 67 58 61 62 0 −3 −2 25 34 38 −1231 −1073 −886 9 12 11 −22 −25 −21
Model-based Complex 69 68 66 63 65 63 34 32 27 42 50 53 −939 −724 −526 42 43 39 21 18 19