Design-Based and Network Sampling-Based Uncertainties in Network Experiments

Fuente: arXiv
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Main Authors: Sakamoto, Kensuke, Shimizu, Yuya
Format: Preprint
Published: 2025
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author Sakamoto, Kensuke
Shimizu, Yuya
author_facet Sakamoto, Kensuke
Shimizu, Yuya
contents Ordinary least squares (OLS) estimators are widely used in network experiments to estimate spillover effects. We study the causal interpretation of, and inference for the OLS estimator under both design-based uncertainty from random treatment assignment and sampling-based uncertainty in network links. We show that correlations among regressors that capture the exposure to neighbors' treatments can induce contamination bias, preventing OLS from aggregating heterogeneous spillover effects for a clear causal interpretation. We derive the OLS estimator's asymptotic distribution and propose a network-robust variance estimator. Simulations and an empirical application demonstrate that contamination bias can be substantial, leading to inflated spillover estimates.
format Preprint
id arxiv_https___arxiv_org_abs_2506_22989
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Design-Based and Network Sampling-Based Uncertainties in Network Experiments
Sakamoto, Kensuke
Shimizu, Yuya
Econometrics
Methodology
Ordinary least squares (OLS) estimators are widely used in network experiments to estimate spillover effects. We study the causal interpretation of, and inference for the OLS estimator under both design-based uncertainty from random treatment assignment and sampling-based uncertainty in network links. We show that correlations among regressors that capture the exposure to neighbors' treatments can induce contamination bias, preventing OLS from aggregating heterogeneous spillover effects for a clear causal interpretation. We derive the OLS estimator's asymptotic distribution and propose a network-robust variance estimator. Simulations and an empirical application demonstrate that contamination bias can be substantial, leading to inflated spillover estimates.
title Design-Based and Network Sampling-Based Uncertainties in Network Experiments
topic Econometrics
Methodology
url https://arxiv.org/abs/2506.22989