Abstract
A large body of research aims to detect the spread of something through a social network. This research often entails measuring multiple kinds of relationships among a group of people and then aggregating them into a single social network to use for analysis. The aggregation is typically done by taking a union of the various tie types. Although this has intuitive appeal, we show that in many realistic cases, this approach adds sufficient error to mask true network effects. We show that this can be the case, and demonstrate that the problem depends on: (1) whether the effect diffuses generically or in a tie-specific way, and (2) the extent of overlap between the measured network ties. Aggregating ties when diffusion is tie-specific and overlap is low will negatively bias and potentially mask network effects that are in fact present.
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Notes
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For a case in point, see [14], which shows that evidence of behavior spreading through the network is masked when the seven types of ties are aggregated. When disaggregated, the authors find evidence consistent with specific diffusion along the most intimate types of ties.
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The magnitude of \(\beta \) affects the severity of the attenuation bias, not whether it is present or not.
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Larson, J.M., RodrÃguez, P.L. (2023). Sometimes Less Is More: When Aggregating Networks Masks Effects. In: Cherifi, H., Mantegna, R.N., Rocha, L.M., Cherifi, C., Miccichè, S. (eds) Complex Networks and Their Applications XI. COMPLEX NETWORKS 2016 2022. Studies in Computational Intelligence, vol 1077. Springer, Cham. https://doi.org/10.1007/978-3-031-21127-0_18
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