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Analysis of the formation of the structure of social networks by using latent space models for ranked dynamic networks

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  • Daniel K. Sewell
  • Yuguo Chen

Abstract

type="main" xml:id="rssc12093-abs-0001"> The formation of social networks and the evolution of their structures have been of interest to researchers for many decades. We wish to answer questions about network stability, group formation and popularity effects. We propose a latent space model for ranked dynamic networks that can be used to frame and answer these questions intuitively. The well-known data collected by Newcomb in the 1950s are very well suited to analyse the formation of a social network. We applied our model to these data to investigate the network stability, what groupings emerge and when they emerge, and how individual popularity is associated with individual stability.

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  • Daniel K. Sewell & Yuguo Chen, 2015. "Analysis of the formation of the structure of social networks by using latent space models for ranked dynamic networks," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 64(4), pages 611-633, August.
    • Handle: RePEc:bla:jorssc:v:64:y:2015:i:4:p:611-633
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    File URL: http://hdl.handle.net/10.1111/rssc.2015.64.issue-4
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    Cited by:

    1. Mamatzakis, Emmanuel C. & Tsionas, Mike G., 2021. "Making inference of British household's happiness efficiency: A Bayesian latent model," European Journal of Operational Research, Elsevier, vol. 294(1), pages 312-326.
    2. Turnbull, Kathryn & Nemeth, Christopher & Nunes, Matthew & McCormick, Tyler, 2023. "Sequential estimation of temporally evolving latent space network models," Computational Statistics & Data Analysis, Elsevier, vol. 179(C).
    3. Ick Hoon Jin & Minjeong Jeon & Michael Schweinberger & Jonghyun Yun & Lizhen Lin, 2022. "Multilevel network item response modelling for discovering differences between innovation and regular school systems in Korea," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 71(5), pages 1225-1244, November.

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