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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">JDS</journal-id>
<journal-title-group><journal-title>Journal of Data Science</journal-title></journal-title-group>
<issn pub-type="epub">1683-8602</issn><issn pub-type="ppub">1680-743X</issn><issn-l>1680-743X</issn-l>
<publisher>
<publisher-name>School of Statistics, Renmin University of China</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">JDS1045</article-id>
<article-id pub-id-type="doi">10.6339/22-JDS1045</article-id>
<article-categories><subj-group subj-group-type="heading">
<subject>Data Science Reviews</subject></subj-group></article-categories>
<title-group>
<article-title>Comparison of Methods for Imputing Social Network Data</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Xu</surname><given-names>Ziqian</given-names></name><email xlink:href="mailto:zxu9@nd.edu">zxu9@nd.edu</email><xref ref-type="aff" rid="j_jds1045_aff_001">1</xref><xref ref-type="corresp" rid="cor1">∗</xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Hai</surname><given-names>Jiarui</given-names></name><xref ref-type="aff" rid="j_jds1045_aff_002">2</xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Yang</surname><given-names>Yutong</given-names></name><xref ref-type="aff" rid="j_jds1045_aff_003">3</xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Zhang</surname><given-names>Zhiyong</given-names></name><xref ref-type="aff" rid="j_jds1045_aff_001">1</xref>
</contrib>
<aff id="j_jds1045_aff_001"><label>1</label>Department of Psychology, 390 Corbett Family Hall, Notre Dame, IN 46556, <institution>University of Notre Dame</institution>, <country>United States</country></aff>
<aff id="j_jds1045_aff_002"><label>2</label>Department of Hydraulic Engineering, 30 Shuangqing Rd, Haidian District, Beijing 100000, <institution>Tsinghua University</institution>, <country>China</country></aff>
<aff id="j_jds1045_aff_003"><label>3</label>School of Statistics, Renmin Daxue N Rd, Haidian District, Beijing 100000, <institution>Renmin University of China</institution>, <country>China</country></aff>
</contrib-group>
<author-notes>
<corresp id="cor1"><label>∗</label>Corresponding author. Email: <ext-link ext-link-type="uri" xlink:href="mailto:zxu9@nd.edu">zxu9@nd.edu</ext-link>.</corresp>
</author-notes>
<pub-date pub-type="ppub"><year>2023</year></pub-date><pub-date pub-type="epub"><day>20</day><month>4</month><year>2022</year></pub-date><volume>21</volume><issue>3</issue><fpage>599</fpage><lpage>618</lpage><supplementary-material id="S1" content-type="archive" xlink:href="jds1045_s001.zip" mimetype="application" mime-subtype="x-zip-compressed">
<caption>
<title>Supplementary Material</title>
<p>
<list>
<list-item id="j_jds1045_li_001">
<label>•</label>
<p>supplement.pdf: Supplementary analyses, tables, and figures mentioned in the paper.</p>
</list-item>
<list-item id="j_jds1045_li_002">
<label>•</label>
<p>code: Code used in this study. This folder contains a README.txt file which explains how the code can be used.</p>
</list-item>
</list> 
</p>
</caption>
</supplementary-material><history><date date-type="received"><day>21</day><month>12</month><year>2021</year></date><date date-type="accepted"><day>30</day><month>3</month><year>2022</year></date></history>
<permissions><copyright-statement>2023 The Author(s). Published by the School of Statistics and the Center for Applied Statistics, Renmin University of China.</copyright-statement><copyright-year>2023</copyright-year>
<license license-type="open-access" xlink:href="https://creativecommons.org/licenses/by/4.0/">
<license-p>Open access article under the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">CC BY</ext-link> license.</license-p></license></permissions>
<abstract>
<p>Social network data often contain missing values because of the sensitive nature of the information collected and the dependency among the network actors. As a response, network imputation methods including simple ones constructed from network structural characteristics and more complicated model-based ones have been developed. Although past studies have explored the influence of missing data on social networks and the effectiveness of imputation procedures in many missing data conditions, the current study aims to evaluate a more extensive set of eight network imputation techniques (i.e., null-tie, Reconstruction, Preferential Attachment, Constrained Random Dot Product Graph, Multiple Imputation by Bayesian Exponential Random Graph Models or BERGMs, k-Nearest Neighbors, Random Forest, and Multiple Imputation by Chained Equations) under more practical conditions through comprehensive simulation. A factorial design for missing data conditions is adopted with factors including missing data types, missing data mechanisms, and missing data proportions, which are applied to generated social networks with varying numbers of actors based on 4 different sets of coefficients in ERGMs. Results show that the effectiveness of imputation methods differs by missing data types, missing data mechanisms, the evaluation criteria used, and the complexity of the social networks. More complex methods such as the BERGMs have consistently good performances in recovering missing edges that should have been present. While simpler methods like Reconstruction work better in recovering network statistics when the missing proportion of present edges is low, the BERGMs work better when more present edges are missing. The BERGMs also work well in recovering ERGM coefficients when the networks are complex and the missing data type is actor non-response. In conclusion, researchers analyzing social networks with incomplete data should identify the network structures of interest and the potential missing data types before selecting appropriate imputation methods.</p>
</abstract>
<kwd-group>
<label>Keywords</label>
<kwd>Bayesian ERGM</kwd>
<kwd>ERGM</kwd>
<kwd>missing data</kwd>
<kwd>multiple imputation</kwd>
</kwd-group>
<funding-group><award-group><funding-source xlink:href="https://doi.org/10.13039/100000138">US Department of Education</funding-source><award-id>R305D210023</award-id></award-group><funding-statement>The research was supported by a grant from the US Department of Education (R305D210023). </funding-statement></funding-group>
</article-meta>
</front>
<back>
<ref-list id="j_jds1045_reflist_001">
<title>References</title>
<ref id="j_jds1045_ref_001">
<mixed-citation publication-type="chapter"> <string-name><surname>Akhtar</surname> <given-names>N</given-names></string-name>, <string-name><surname>Javed</surname> <given-names>H</given-names></string-name>, <string-name><surname>Sengar</surname> <given-names>G</given-names></string-name> (<year>2013</year>). <chapter-title>Analysis of facebook social network</chapter-title>. In: <source><italic>2013 5th International Conference and Computational Intelligence and Communication Networks</italic></source>, <fpage>451</fpage>–<lpage>454</lpage>. <publisher-name>IEEE</publisher-name>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_002">
<mixed-citation publication-type="journal"> <string-name><surname>Barabási</surname> <given-names>AL</given-names></string-name>, <string-name><surname>Albert</surname> <given-names>R</given-names></string-name> (<year>1999</year>). <article-title>Emergence of scaling in random networks</article-title>. <source><italic>Science</italic></source>, <volume>286</volume>(<issue>5439</issue>): <fpage>509</fpage>–<lpage>512</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_003">
<mixed-citation publication-type="chapter"> <string-name><surname>Bernard</surname> <given-names>S</given-names></string-name>, <string-name><surname>Heutte</surname> <given-names>L</given-names></string-name>, <string-name><surname>Adam</surname> <given-names>S</given-names></string-name> (<year>2009</year>). <chapter-title>Influence of hyperparameters on random forest accuracy</chapter-title>. In: <source><italic>International Workshop on Multiple Classifier Systems</italic></source>, volume <volume>5519</volume>, <fpage>171</fpage>–<lpage>180</lpage>. <publisher-name>Springer</publisher-name>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_004">
<mixed-citation publication-type="other"> <string-name><surname>Butts</surname> <given-names>CT</given-names></string-name> (2020). sna: Tools for social network analysis. In: R package version 2.6. <uri>https://cran.r-project.org/web/packages/sna</uri>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_005">
<mixed-citation publication-type="other"> <string-name><surname>Caimo</surname> <given-names>A</given-names></string-name>, <string-name><surname>Bouranis</surname> <given-names>L</given-names></string-name>, <string-name><surname>Krause</surname> <given-names>R</given-names></string-name>, <string-name><surname>Friel</surname> <given-names>N</given-names></string-name> (2021a). Bergm: Bayesian exponential random graph models. R package version 5.0.3. <uri>https://cran.r-project.org/web/packages/Bergm/</uri>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_006">
<mixed-citation publication-type="other"> <string-name><surname>Caimo</surname> <given-names>A</given-names></string-name>, <string-name><surname>Bouranis</surname> <given-names>L</given-names></string-name>, <string-name><surname>Krause</surname> <given-names>R</given-names></string-name>, <string-name><surname>Friel</surname> <given-names>N</given-names></string-name> (2021b). Statistical network analysis with bergm. arXiv preprint <uri>https://arxiv.org/abs/2104.02444</uri>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_007">
<mixed-citation publication-type="journal"> <string-name><surname>Caimo</surname> <given-names>A</given-names></string-name>, <string-name><surname>Friel</surname> <given-names>N</given-names></string-name> (<year>2011</year>). <article-title>Bayesian inference for exponential random graph models</article-title>. <source><italic>Social Networks</italic></source>, <volume>33</volume>(<issue>1</issue>): <fpage>41</fpage>–<lpage>55</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_008">
<mixed-citation publication-type="journal"> <string-name><surname>Chang</surname> <given-names>C</given-names></string-name>, <string-name><surname>Deng</surname> <given-names>Y</given-names></string-name>, <string-name><surname>Jiang</surname> <given-names>X</given-names></string-name>, <string-name><surname>Long</surname> <given-names>Q</given-names></string-name> (<year>2020</year>). <article-title>Multiple imputation for analysis of incomplete data in distributed health data networks</article-title>. <source><italic>Nature Communications</italic></source>, <volume>11</volume>(<issue>1</issue>): <fpage>1</fpage>–<lpage>11</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_009">
<mixed-citation publication-type="other"> <string-name><surname>Csardi</surname> <given-names>G</given-names></string-name>, <string-name><surname>Nepusz</surname> <given-names>T</given-names></string-name> (2022). igraph: Network analysis and visualization. R package version 1.2.11. <uri>https://cran.r-project.org/web/packages/igraph/</uri>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_010">
<mixed-citation publication-type="journal"> <string-name><surname>de la Haye</surname> <given-names>K</given-names></string-name>, <string-name><surname>Embree</surname> <given-names>J</given-names></string-name>, <string-name><surname>Punkay</surname> <given-names>M</given-names></string-name>, <string-name><surname>Espelage</surname> <given-names>DL</given-names></string-name>, <string-name><surname>Tucker</surname> <given-names>JS</given-names></string-name>, <string-name><surname>Green</surname> <given-names>Jr HD</given-names></string-name> (<year>2017</year>). <article-title>Analytic strategies for longitudinal networks with missing data</article-title>. <source><italic>Social Networks</italic></source>, <volume>50</volume>: <fpage>17</fpage>–<lpage>25</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_011">
<mixed-citation publication-type="journal"> <string-name><surname>Epskamp</surname> <given-names>S</given-names></string-name>, <string-name><surname>Borsboom</surname> <given-names>D</given-names></string-name>, <string-name><surname>Fried</surname> <given-names>EI</given-names></string-name> (<year>2018</year>). <article-title>Estimating psychological networks and their accuracy: A tutorial paper</article-title>. <source><italic>Behavior Research Methods</italic></source>, <volume>50</volume>(<issue>1</issue>): <fpage>195</fpage>–<lpage>212</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_012">
<mixed-citation publication-type="journal"> <string-name><surname>Fix</surname> <given-names>E</given-names></string-name>, <string-name><surname>Hodges</surname> <given-names>JL</given-names></string-name> (<year>1989</year>). <article-title>Discriminatory analysis. nonparametric discrimination: Consistency properties</article-title>. <source><italic>International Statistical Review/Revue Internationale de Statistique</italic></source>, <volume>57</volume>(<issue>3</issue>): <fpage>238</fpage>–<lpage>247</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_013">
<mixed-citation publication-type="other"> <string-name><surname>Handcock</surname> <given-names>MS</given-names></string-name>, <string-name><surname>Hunter</surname> <given-names>DR</given-names></string-name>, <string-name><surname>Butts</surname> <given-names>CT</given-names></string-name>, <string-name><surname>Goodreau</surname> <given-names>SM</given-names></string-name>, <string-name><surname>Krivitsky</surname> <given-names>PN</given-names></string-name>, <string-name><surname>Morris</surname> <given-names>M</given-names></string-name> (2021). ergm: Fit, simulate and diagnose exponential-family models for networks. <uri>https://cran.r-project.org/web/packages/ergm/</uri>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_014">
<mixed-citation publication-type="journal"> <string-name><surname>Himelboim</surname> <given-names>I</given-names></string-name>, <string-name><surname>Smith</surname> <given-names>MA</given-names></string-name>, <string-name><surname>Rainie</surname> <given-names>L</given-names></string-name>, <string-name><surname>Shneiderman</surname> <given-names>B</given-names></string-name>, <string-name><surname>Espina</surname> <given-names>C</given-names></string-name> (<year>2017</year>). <article-title>Classifying twitter topic-networks using social network analysis</article-title>. <source><italic>Social Media + Society</italic></source>, <volume>3</volume>(<issue>1</issue>): <fpage>1</fpage>–<lpage>13</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_015">
<mixed-citation publication-type="chapter"> <string-name><surname>Ho</surname> <given-names>TK</given-names></string-name> (<year>1995</year>). <chapter-title>Random decision forests</chapter-title>. In: <source><italic>Proceedings of 3rd International Conference on Document Analysis and Recognition</italic></source>, volume <volume>1</volume>, <fpage>278</fpage>–<lpage>282</lpage>. <publisher-name>IEEE</publisher-name>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_016">
<mixed-citation publication-type="journal"> <string-name><surname>Hoff</surname> <given-names>PD</given-names></string-name>, <string-name><surname>Raftery</surname> <given-names>AE</given-names></string-name>, <string-name><surname>Handcock</surname> <given-names>MS</given-names></string-name> (<year>2002</year>). <article-title>Latent space approaches to social network analysis</article-title>. <source><italic>Journal of the American Statistical Association</italic></source>, <volume>97</volume>(<issue>460</issue>): <fpage>1090</fpage>–<lpage>1098</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_017">
<mixed-citation publication-type="journal"> <string-name><surname>Huisman</surname> <given-names>M</given-names></string-name> (<year>2009</year>). <article-title>Imputation of missing network data: Some simple procedures</article-title>. <source><italic>Journal of Social Structure</italic></source>, <volume>10</volume>(<issue>1</issue>): <fpage>1</fpage>–<lpage>29</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_018">
<mixed-citation publication-type="journal"> <string-name><surname>Huisman</surname> <given-names>M</given-names></string-name>, <string-name><surname>Steglich</surname> <given-names>C</given-names></string-name> (<year>2008</year>). <article-title>Treatment of non-response in longitudinal network studies</article-title>. <source><italic>Social Networks</italic></source>, <volume>30</volume>(<issue>4</issue>): <fpage>297</fpage>–<lpage>308</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_019">
<mixed-citation publication-type="journal"> <string-name><surname>Jadhav</surname> <given-names>A</given-names></string-name>, <string-name><surname>Pramod</surname> <given-names>D</given-names></string-name>, <string-name><surname>Ramanathan</surname> <given-names>K</given-names></string-name> (<year>2019</year>). <article-title>Comparison of performance of data imputation methods for numeric dataset</article-title>. <source><italic>Applied Artificial Intelligence</italic></source>, <volume>33</volume>(<issue>10</issue>): <fpage>913</fpage>–<lpage>933</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_020">
<mixed-citation publication-type="journal"> <string-name><surname>Kc</surname> <given-names>B</given-names></string-name>, <string-name><surname>Morais</surname> <given-names>DB</given-names></string-name>, <string-name><surname>Smith</surname> <given-names>JW</given-names></string-name>, <string-name><surname>Peterson</surname> <given-names>M</given-names></string-name>, <string-name><surname>Seekamp</surname> <given-names>E</given-names></string-name> (<year>2019</year>). <article-title>Using social network analysis to understand trust, reciprocity, and togetherness in wildlife tourism microentrepreneurship</article-title>. <source><italic>Journal of Hospitality &amp; Tourism Research</italic></source>, <volume>43</volume>(<issue>8</issue>): <fpage>1176</fpage>–<lpage>1198</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_021">
<mixed-citation publication-type="journal"> <string-name><surname>Kokla</surname> <given-names>M</given-names></string-name>, <string-name><surname>Virtanen</surname> <given-names>J</given-names></string-name>, <string-name><surname>Kolehmainen</surname> <given-names>M</given-names></string-name>, <string-name><surname>Paananen</surname> <given-names>J</given-names></string-name>, <string-name><surname>Hanhineva</surname> <given-names>K</given-names></string-name> (<year>2019</year>). <article-title>Random forest-based imputation outperforms other methods for imputing lc-ms metabolomics data: a comparative study</article-title>. <source><italic>BMC Bioinformatics</italic></source>, <volume>20</volume>(<issue>1</issue>): <fpage>1</fpage>–<lpage>11</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_022">
<mixed-citation publication-type="journal"> <string-name><surname>Koskinen</surname> <given-names>JH</given-names></string-name>, <string-name><surname>Robins</surname> <given-names>GL</given-names></string-name>, <string-name><surname>Pattison</surname> <given-names>PE</given-names></string-name> (<year>2010</year>). <article-title>Analysing exponential random graph (p-star) models with missing data using bayesian data augmentation</article-title>. <source><italic>Statistical Methodology</italic></source>, <volume>7</volume>(<issue>3</issue>): <fpage>366</fpage>–<lpage>384</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_023">
<mixed-citation publication-type="journal"> <string-name><surname>Kossinets</surname> <given-names>G</given-names></string-name> (<year>2006</year>). <article-title>Effects of missing data in social networks</article-title>. <source><italic>Social Networks</italic></source>, <volume>28</volume>(<issue>3</issue>): <fpage>247</fpage>–<lpage>268</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_024">
<mixed-citation publication-type="journal"> <string-name><surname>Krause</surname> <given-names>RW</given-names></string-name>, <string-name><surname>Huisman</surname> <given-names>M</given-names></string-name>, <string-name><surname>Steglich</surname> <given-names>C</given-names></string-name>, <string-name><surname>Snijders</surname> <given-names>T</given-names></string-name> (<year>2020</year>). <article-title>Missing data in cross-sectional networks–an extensive comparison of missing data treatment methods</article-title>. <source><italic>Social Networks</italic></source>, <volume>62</volume>: <fpage>99</fpage>–<lpage>112</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_025">
<mixed-citation publication-type="other"> <string-name><surname>Liaw</surname> <given-names>A</given-names></string-name>, <string-name><surname>Wiener</surname> <given-names>M</given-names></string-name> (2022). randomforest: Breiman and cutler’s random forests for classification and regression. R package version 4.7-1. <uri>https://cran.r-project.org/web/packages/randomForest/</uri>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_026">
<mixed-citation publication-type="book"> <string-name><surname>Little</surname> <given-names>RJ</given-names></string-name>, <string-name><surname>Rubin</surname> <given-names>DB</given-names></string-name> (<year>1987</year>). <source><italic>Statistical Analysis With Missing Data</italic></source>. <publisher-name>John Wiley &amp; Sons</publisher-name>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_027">
<mixed-citation publication-type="journal"> <string-name><surname>Liu</surname> <given-names>H</given-names></string-name>, <string-name><surname>Jin</surname> <given-names>IH</given-names></string-name>, <string-name><surname>Zhang</surname> <given-names>Z</given-names></string-name>, <string-name><surname>Yuan</surname> <given-names>Y</given-names></string-name> (<year>2021</year>). <article-title>Social network mediation analysis: A latent space approach</article-title>. <source><italic>Psychometrika</italic></source>, <volume>86</volume>(<issue>1</issue>): <fpage>272</fpage>–<lpage>298</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_028">
<mixed-citation publication-type="journal"> <string-name><surname>Marchette</surname> <given-names>DJ</given-names></string-name>, <string-name><surname>Priebe</surname> <given-names>CE</given-names></string-name> (<year>2008</year>). <article-title>Predicting unobserved links in incompletely observed networks</article-title>. <source><italic>Computational Statistics &amp; Data Analysis</italic></source>, <volume>52</volume>(<issue>3</issue>): <fpage>1373</fpage>–<lpage>1386</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_029">
<mixed-citation publication-type="journal"> <string-name><surname>Massing-Schaffer</surname> <given-names>M</given-names></string-name>, <string-name><surname>Nesi</surname> <given-names>J</given-names></string-name>, <string-name><surname>Telzer</surname> <given-names>EH</given-names></string-name>, <string-name><surname>Lindquist</surname> <given-names>KA</given-names></string-name>, <string-name><surname>Prinstein</surname> <given-names>MJ</given-names></string-name> (<year>2020</year>). <article-title>Adolescent peer experiences and prospective suicidal ideation: the protective role of online-only friendships</article-title>. <source><italic>Journal of Clinical Child &amp; Adolescent Psychology</italic></source>, <volume>51</volume>(<issue>1</issue>): <fpage>1</fpage>–<lpage>12</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_030">
<mixed-citation publication-type="journal"> <string-name><surname>Otte</surname> <given-names>E</given-names></string-name>, <string-name><surname>Rousseau</surname> <given-names>R</given-names></string-name> (<year>2002</year>). <article-title>Social network analysis: A powerful strategy, also for the information sciences</article-title>. <source><italic>Journal of Information Science</italic></source>, <volume>28</volume>(<issue>6</issue>): <fpage>441</fpage>–<lpage>453</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_031">
<mixed-citation publication-type="journal"> <string-name><surname>Ouzienko</surname> <given-names>V</given-names></string-name>, <string-name><surname>Obradovic</surname> <given-names>Z</given-names></string-name> (<year>2014</year>). <article-title>Imputation of missing links and attributes in longitudinal social surveys</article-title>. <source><italic>Machine Learning</italic></source>, <volume>95</volume>(<issue>3</issue>): <fpage>329</fpage>–<lpage>356</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_032">
<mixed-citation publication-type="chapter"> <string-name><surname>Pantanowitz</surname> <given-names>A</given-names></string-name>, <string-name><surname>Marwala</surname> <given-names>T</given-names></string-name> (<year>2009</year>). <chapter-title>Missing data imputation through the use of the random forest algorithm</chapter-title>. In: <source><italic>Advances in Computational Intelligence</italic></source>, volume <volume>116</volume>, <fpage>53</fpage>–<lpage>62</lpage>. <publisher-name>Springer</publisher-name>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_033">
<mixed-citation publication-type="other"> <string-name><surname>Paradis</surname> <given-names>E</given-names></string-name>, <string-name><surname>Blomberg</surname> <given-names>S</given-names></string-name>, <string-name><surname>Bolker</surname> <given-names>B</given-names></string-name>, <string-name><surname>Brown</surname> <given-names>J</given-names></string-name>, <string-name><surname>Claude</surname> <given-names>J</given-names></string-name>, <string-name><surname>Cuong</surname> <given-names>HS</given-names></string-name>, et al. (2022). ape: Analyses of phylogenetics and evolution. R package version 5.6-2. <uri>https://cran.r-project.org/web/packages/ape</uri>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_034">
<mixed-citation publication-type="book"> <string-name><surname>R Core Team</surname></string-name> (<year>2022</year>). <source><italic>R: A language and environment for statistical computing</italic></source>. <uri>https://www.R-project.org/</uri>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_035">
<mixed-citation publication-type="other"> <string-name><surname>Ripley</surname> <given-names>B</given-names></string-name>, <string-name><surname>Venables</surname> <given-names>W</given-names></string-name> (2022). class: Functions for classification. R package version 7.3-20. <uri>https://cran.r-project.org/web/packages/class/</uri>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_036">
<mixed-citation publication-type="journal"> <string-name><surname>Rubin</surname> <given-names>DB</given-names></string-name> (<year>1976</year>). <article-title>Inference and missing data</article-title>. <source><italic>Biometrika</italic></source>, <volume>63</volume>(<issue>3</issue>): <fpage>581</fpage>–<lpage>592</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_037">
<mixed-citation publication-type="journal"> <string-name><surname>Smith</surname> <given-names>JA</given-names></string-name>, <string-name><surname>Moody</surname> <given-names>J</given-names></string-name> (<year>2013</year>). <article-title>Structural effects of network sampling coverage I: Nodes missing at random</article-title>. <source><italic>Social Networks</italic></source>, <volume>35</volume>(<issue>4</issue>): <fpage>652</fpage>–<lpage>668</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_038">
<mixed-citation publication-type="journal"> <string-name><surname>Smith</surname> <given-names>JA</given-names></string-name>, <string-name><surname>Moody</surname> <given-names>J</given-names></string-name>, <string-name><surname>Morgan</surname> <given-names>JH</given-names></string-name> (<year>2017</year>). <article-title>Network sampling coverage II: The effect of non-random missing data on network measurement</article-title>. <source><italic>Social Networks</italic></source>, <volume>48</volume>: <fpage>78</fpage>–<lpage>99</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_039">
<mixed-citation publication-type="journal"> <string-name><surname>Smith</surname> <given-names>JA</given-names></string-name>, <string-name><surname>Morgan</surname> <given-names>JH</given-names></string-name>, <string-name><surname>Moody</surname> <given-names>J</given-names></string-name> (<year>2022</year>). <article-title>Network sampling coverage III: Imputation of missing network data under different network and missing data conditions</article-title>. <source><italic>Social Networks</italic></source>, <volume>68</volume>: <fpage>148</fpage>–<lpage>178</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_040">
<mixed-citation publication-type="journal"> <string-name><surname>Snijders</surname> <given-names>TA</given-names></string-name> (<year>1996</year>). <article-title>Stochastic actor-oriented models for network change</article-title>. <source><italic>Journal of Mathematical Sociology</italic></source>, <volume>21</volume>(<issue>1–2</issue>): <fpage>149</fpage>–<lpage>172</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_041">
<mixed-citation publication-type="journal"> <string-name><surname>Stork</surname> <given-names>D</given-names></string-name>, <string-name><surname>Richards</surname> <given-names>WD</given-names></string-name> (<year>1992</year>). <article-title>Nonrespondents in communication network studies: Problems and possibilities</article-title>. <source><italic>Group &amp; Organization Management</italic></source>, <volume>17</volume>(<issue>2</issue>): <fpage>193</fpage>–<lpage>209</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_042">
<mixed-citation publication-type="journal"> <string-name><surname>Van Buuren</surname> <given-names>S</given-names></string-name>, <string-name><surname>Groothuis-Oudshoorn</surname> <given-names>K</given-names></string-name> (<year>2011</year>). <article-title>mice: Multivariate imputation by chained equations in R</article-title>. <source><italic>Journal of statistical software</italic></source>, <volume>45</volume>(<issue>3</issue>): <fpage>1</fpage>–<lpage>67</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_043">
<mixed-citation publication-type="other"> <string-name><surname>van Buuren</surname> <given-names>S</given-names></string-name>, <string-name><surname>Groothuis-Oudshoorn</surname> <given-names>K</given-names></string-name>, <string-name><surname>Robitzsch</surname> <given-names>A</given-names></string-name>, <string-name><surname>Vink</surname> <given-names>G</given-names></string-name>, <string-name><surname>Doove</surname> <given-names>L</given-names></string-name>, <string-name><surname>Jolani</surname> <given-names>S</given-names></string-name>, et al. (2021). mice: Multivariate imputation by chained equations. R package version 3.14.0. <uri>https://cran.r-project.org/web/packages/mice/</uri>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_044">
<mixed-citation publication-type="journal"> <string-name><surname>Wang</surname> <given-names>C</given-names></string-name>, <string-name><surname>Butts</surname> <given-names>CT</given-names></string-name>, <string-name><surname>Hipp</surname> <given-names>JR</given-names></string-name>, <string-name><surname>Jose</surname> <given-names>R</given-names></string-name>, <string-name><surname>Lakon</surname> <given-names>CM</given-names></string-name> (<year>2016</year>). <article-title>Multiple imputation for missing edge data: A predictive evaluation method with application to add health</article-title>. <source><italic>Social Networks</italic></source>, <volume>45</volume>: <fpage>89</fpage>–<lpage>98</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_045">
<mixed-citation publication-type="journal"> <string-name><surname>Yang</surname> <given-names>CL</given-names></string-name>, <string-name><surname>Yuan</surname> <given-names>CW</given-names></string-name>, <string-name><surname>Wang</surname> <given-names>HC</given-names></string-name> (<year>2019</year>). <article-title>When knowledge network is social network: Understanding collaborative knowledge transfer in workplace</article-title>. <source><italic>Proceedings of the ACM on Human-Computer Interaction</italic></source>, <volume>3</volume>(<issue>CSCW</issue>): <fpage>1</fpage>–<lpage>23</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_046">
<mixed-citation publication-type="journal"> <string-name><surname>Žnidaršič</surname> <given-names>A</given-names></string-name>, <string-name><surname>Doreian</surname> <given-names>P</given-names></string-name>, <string-name><surname>Ferligoj</surname> <given-names>A</given-names></string-name> (<year>2012</year>). <article-title>Absent ties in social networks, their treatments, and blockmodeling outcomes</article-title>. <source><italic>Advances in Methodology and Statistics</italic></source>, <volume>9</volume>(<issue>2</issue>): <fpage>119</fpage>–<lpage>138</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1045_ref_047">
<mixed-citation publication-type="journal"> <string-name><surname>Žnidaršič</surname> <given-names>A</given-names></string-name>, <string-name><surname>Ferligoj</surname> <given-names>A</given-names></string-name>, <string-name><surname>Doreian</surname> <given-names>P</given-names></string-name> (<year>2017</year>). <article-title>Actor non-response in valued social networks: The impact of different non-response treatments on the stability of blockmodels</article-title>. <source><italic>Social Networks</italic></source>, <volume>48</volume>: <fpage>46</fpage>–<lpage>56</lpage>.</mixed-citation>
</ref>
</ref-list>
</back>
</article>
