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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 A4.

Centrality Bias Slope Regressions: Directed Networks.

Variables Model 1 Indegree Model 2 Total Degree Model 3 Bon. Power Model 4 Closeness Model 5 Betweeness
Intercept −2.598*** −2.476*** −2.198*** −2.973* −2.652***
(0.7) (0.6) (0.23) (1.37) (0.19)
Correlation with Centrality 0.309*** 0.31*** 0.411*** 0.197*** 0.202***
(0.04) (0.03) (0.03) (0.05) (0.02)
In-degree Std. Dev. −0.356*** −0.273*** −0.138*** −0.058 −0.114***
(0.06) (0.06) (0.02) (0.13) (0.02)
Log of Size 0.107 0.073 −0.037 0.094 0.103**
(0.15) (0.13) (0.05) (0.29) (0.04)
Asymmetric Imputation 0.019 −0.845 −0.286 −2.184*** −0.822
(0.2) (0.57) (0.35) (0.57) (0.44)
Simple Model-Based Imputation 0.448 −0.506 −0.868* 0.723 0.466
(0.57) (0.92) (0.44) (1.97) (0.42)
Complex Model-Based Imputation 0.544 −0.483 −0.491 0.938 0.556
(0.5) (0.81) (0.34) (2.15) (0.45)
Probabilistic Imputation 0.145 −0.915 −0.286 −0.909 0.046
(0.24) (0.51) (0.34) (2.26) (0.35)
Symmetric Imputation 0.544 −0.811 −0.286 0.358 0.262
(0.42) (0.97) (0.32) (1.5) (0.32)
Correlation with Centrality* Asymmetric Imputation 0.01 −0.196*** −0.193*** −0.158* 0.035
(0.06) (0.04) (0.04) (0.07) (0.03)
Correlation with Centrality* Simple Model-Based Imputation −0.075 −0.224*** −0.286*** −0.475*** −0.098**
(0.06) (0.04) (0.04) (0.07) (0.03)
Correlation with Centrality* Complex Model-Based Imputation −0.077 −0.215*** −0.292*** −0.431*** −0.077*
(0.06) (0.04) (0.04) (0.07) (0.03)
Correlation with Centrality* Probabilistic Imputation −0.033 −0.219*** −0.193*** −0.192** 0.009
(0.06) (0.04) (0.04) (0.07) (0.03)
Correlation with Centrality* Symmetric Imputation −0.064 −0.284*** −0.193*** −0.32*** −0.074*
(0.06) (0.04) (0.04) (0.07) (0.03)
In-degree Std. Dev.* Asymmetric Imputation 0.003 0.207*** −0.046 −0.055 −0.102*
(0.02) (0.05) (0.03) (0.05) (0.04)
In-degree Std. Dev.*Simple Model-Based Imputation 0.168** 0.229** −0.069 0.108 0.088*
(0.05) (0.09) (0.04) (0.18) (0.04)
In-degree Std. Dev.*Complex Model-Based Imputation 0.154*** 0.205** −0.064* 0.109 0.105*
(0.05) (0.07) (0.03) (0.2) (0.04)
In-degree Std. Dev.* Probabilistic Imputation 0.029 0.21*** −0.046 −0.041 −0.017
(0.02) (0.05) (0.03) (0.21) (0.03)
In-degree Std. Dev.* Symmetric Imputation 0.218*** 0.318*** −0.046 0.059 0.059*
(0.04) (0.09) (0.03) (0.14) (0.03)
Log of Size* Asymmetric Imputation −0.005 −0.163 −0.087 0.358** 0.187*
(0.04) (0.12) (0.08) (0.12) (0.09)
Log of Size *Simple Model-Based Imputation −0.111 −0.169 0.111 −0.553 −0.2*
(0.12) (0.2) (0.09) (0.42) (0.09)
Log of Size* Complex Model-Based Imputation −0.138 −0.171 0.019 −0.584 −0.227*
(0.11) (0.17) (0.07) (0.46) (0.1)
Log of Size * Probabilistic Imputation −0.055 −0.145 −0.087 0.002 −0.085
(0.05) (0.11) (0.07) (0.48) (0.07)
Log of Size* Symmetric Imputation −0.175 −0.201 −0.087 −0.359 −0.163*
(0.09) (0.21) (0.07) (0.32) (0.07)
N 378 378 378 378 378
Networks 7 7 7 7 7

Note: The regression uses the betas slopes from each line as the dependent variable. The betas represent the expected drop in correlation (between the empirical and the observed) for a 10 % increase in the amount of missing data. Larger numbers mean larger bias with more missing data. The correlation with centrality takes four values: −.75, −.25, .25, and .75.