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Model-Based Inference and Experimental Design for Interference Using Partial Network Data

Steven Wilkins Reeves, Shane Lubold, Arun G. Chandrasekhar, Tyler H. McCormick

arXiv 17 Jun 2024 · Statistics — Methodology · 1 citations (OpenAlex)

arXiv:2406.11940 · PDF · DOI · OpenAlex · Extracted main text

Abstract

The stable unit treatment value assumption states that the outcome of an individual is not affected by the treatment statuses of others, however in many real world applications, treatments can have an effect on many others beyond the immediately treated. Interference can generically be thought of as mediated through some network structure. In many empirically relevant situations however, complete network data (required to adjust for these spillover effects) are too costly or logistically infeasible to collect. Partially or indirectly observed network data (e.g., subsamples, aggregated relational data (ARD), egocentric sampling, or respondent-driven sampling) reduce the logistical and financial burden of collecting network data, but the statistical properties of treatment effect adjustments from these design strategies are only beginning to be explored. In this paper, we present a framework for the estimation and inference of treatment effect adjustments using partial network data through the lens of structural causal models. We also illustrate procedures to assign treatments using only partial network data, with the goal of either minimizing estimator variance or optimally seeding. We derive single network asymptotic results applicable to a variety of choices for an underlying graph model. We validate our approach using simulated experiments on observed graphs with applications to information diffusion in India and Malawi.

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106
references
181
in-text mentions
106
distinct cited
9
self-citations
21,604
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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Beaman, L., A. BenYishay, J. Magruder, and A. M. Mobarak (2021) Can network theory-based targeting increase technology adoption?1.000125100%
2Banerjee, A., A. G. Chandrasekhar, E. Duflo, and M. O. Jackson (2019) Using gossips to spread information: Theory and evidence from two randomized controlled trials self1.000124100%
3Banerjee, A., A. G. Chandrasekhar, E. Duflo, and M. O. Jackson (2013) The diffusion of microfinance self1.00094100%
4Breza, E., A. G. Chandrasekhar, S. Lubold, T. H. McCormick, and M. Pan (2023) Consistently estimating network statistics using aggregated relational data self1.00084100%
5Chandrasekhar, A. G., M. O. Jackson, T. H. McCormick, and V. Thiyage… (2023) General covariance-based conditions for central limit theorems with dependent triangular arrays self1.00073100%
6Gao, C., Y. Lu, and H. H. Zhou (2015) Rate-optimal graphon estimation0.84333100%
7Ogburn, E. L., O. Sofrygin, I. Diaz, and M. J. Van der Laan (2022) Causal inference for social network data0.84333100%
8Aronow, P. M. and C. Samii (2017) Estimating average causal effects under general interference, with application to a social network experiment0.81142100%
9Breza, E., A. G. Chandrasekhar, T. H. McCormick, and M. Pan (2020) Using aggregated relational data to feasibly identify network structure without network data self0.81142100%
10Heckathorn, D. D (1997) Respondent-driven sampling: a new approach to the study of hidden populations0.73732100%

Showing the top 10 of 106 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1Learning What to Learn: Experimental Design when Combining Experimental with Observational Evidence0.40511
2Network-Adjusted GMM Estimation under Network Uncertainty0.40511