arXiv 28 Sep 2022 · Econometrics · 1 citations (OpenAlex)
arXiv:2209.14181 · PDF · DOI · OpenAlex · Extracted main text
We study the problem of estimating the average causal effect of treating every member of a population, as opposed to none, using an experiment that treats only some. We consider settings where spillovers have global support and decay slowly with (a generalized notion of) distance. We derive the minimax rate over both estimators and designs, and show that it increases with the spatial rate of spillover decay. Estimators based on OLS regressions like those used to analyze recent large-scale experiments are consistent (though only after de-weighting), achieve the minimax rate when the DGP is linear, and converge faster than IPW-based alternatives when treatment clusters are small, providing one justification for OLS's ubiquity. When the DGP is nonlinear they remain consistent but converge slowly. We further address inference and bandwidth selection. Applied to the cash transfer experiment studied by Egger et al. (2022) these methods yield a 20% larger estimated effect on consumption.
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| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Peter M. Aronow and Cyrus Samii (2017) Estimating average causal effects under general interference, with application to a social network experiment | 1.000 | 9 | 4 | 100% |
| 2 | Miguel, Edward and Kremer, Michael (2004) Worms: Identifying Impacts on Education and Health in the Presence of Treatment Externalities | 1.000 | 6 | 3 | 100% |
| 3 | Michael P. Leung (2025) Cluster-Randomized Trials with Cross-Cluster Interference | 0.959 | 17 | 6 | 88% |
| 4 | Egger, Dennis and Haushofer, Johannes and Miguel, Edward and Niehaus… (2022) General Equilibrium Effects of Cash Transfers: Experimental Evidence From Kenya self | 0.950 | 7 | 5 | 86% |
| 5 | Leung, Michael P (2022) Rate-optimal cluster-randomized designs for spatial interference | 0.938 | 23 | 8 | 83% |
| 6 | Leung, Michael P (2022) Causal Inference Under Approximate Neighborhood Interference | 0.928 | 4 | 3 | 100% |
| 7 | Sussman, Daniel L. and Airoldi, Edoardo M (2017) Elements of estimation theory for causal effects in the presence of network interference | 0.843 | 3 | 3 | 100% |
| 8 | Karthik Muralidharan and Paul Niehaus (2017) Experimentation at Scale self | 0.811 | 4 | 2 | 100% |
| 9 | Muralidharan, Karthik and Niehaus, Paul and Sukhtankar, Sandip (2023) General Equilibrium Effects of (Improving) Public Employment Programs: Experimental Evidence From India self | 0.811 | 4 | 2 | 100% |
| 10 | Nazgul Jenish and Ingmar R. Prucha (2012) On spatial processes and asymptotic inference under near-epoch dependence | 0.737 | 3 | 2 | 100% |
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