arXiv 8 Nov 2021 · Statistics — Methodology · publishedThe Annals of Statistics (2022) · 16 citations (OpenAlex)
arXiv:2111.04219 · PDF · DOI · OpenAlex · Extracted main text
We consider a potential outcomes model in which interference may be present between any two units but the extent of interference diminishes with spatial distance. The causal estimand is the global average treatment effect, which compares outcomes under the counterfactuals that all or no units are treated. We study a class of designs in which space is partitioned into clusters that are randomized into treatment and control. For each design, we estimate the treatment effect using a Horvitz-Thompson estimator that compares the average outcomes of units with all or no neighbors treated, where the neighborhood radius is of the same order as the cluster size dictated by the design. We derive the estimator's rate of convergence as a function of the design and degree of interference and use this to obtain estimator-design pairs that achieve near-optimal rates of convergence under relatively minimal assumptions on interference. We prove that the estimators are asymptotically normal and provide a variance estimator. For practical implementation of the designs, we suggest partitioning space using clustering algorithms.
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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.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | barticle[author] Jenish, N.N. Prucha, I.I (2009) ) | 1.000 | 6 | 5 | 100% |
| 2 | barticle[author] Leung, M.M (2022) ) | 1.000 | 6 | 4 | 100% |
| 3 | barticle[author] Jenish, N.N. Prucha, I.I (2012) ) | 0.928 | 4 | 3 | 100% |
| 4 | barticle[author] Leung, M.M (2022) ) | 0.928 | 4 | 3 | 100% |
| 5 | binproceedings[author] Ugander, J.J., Karrer, B.B., Backstrom, L.L.… (2013) ) | 0.928 | 4 | 3 | 100% |
| 6 | barticle[author] Eckles, D.D., Karrer, B.B. Ugander, J.J (2017) ) | 0.737 | 3 | 2 | 100% |
| 7 | barticle[author] Jenish, N.N (2016) ) | 0.693 | 5 | 1 | 100% |
| 8 | barticle[author] Andrews, D.D (1991) ) | 0.644 | 2 | 2 | 100% |
| 9 | barticle[author] Conley, T.T (1999) ) | 0.644 | 2 | 2 | 100% |
| 10 | barticle[author] Leung, M.M (2022) Rate-Optimal Cluster-Randomized Designs for Spatial Interference | 0.644 | 2 | 2 | 100% |
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