Design-based Estimation Theory for Complex Experiments

Fuente: arXiv
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Autor principal: Chang, Haoge
Formato: Preprint
Publicado: 2023
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author Chang, Haoge
author_facet Chang, Haoge
contents This paper considers the estimation of treatment effects in randomized experiments with complex experimental designs, including cases with interference between units. We develop a design-based estimation theory for arbitrary experimental designs. Our theory facilitates the analysis of many design-estimator pairs that researchers commonly employ in practice and provide procedures to consistently estimate asymptotic variance bounds. We propose new classes of estimators with favorable asymptotic properties from a design-based point of view. In addition, we propose a scalar measure of experimental complexity which can be linked to the design-based variance of the estimators. We demonstrate the performance of our estimators using simulated datasets based on an actual network experiment studying the effect of social networks on insurance adoptions.
format Preprint
id arxiv_https___arxiv_org_abs_2311_06891
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Design-based Estimation Theory for Complex Experiments
Chang, Haoge
Econometrics
This paper considers the estimation of treatment effects in randomized experiments with complex experimental designs, including cases with interference between units. We develop a design-based estimation theory for arbitrary experimental designs. Our theory facilitates the analysis of many design-estimator pairs that researchers commonly employ in practice and provide procedures to consistently estimate asymptotic variance bounds. We propose new classes of estimators with favorable asymptotic properties from a design-based point of view. In addition, we propose a scalar measure of experimental complexity which can be linked to the design-based variance of the estimators. We demonstrate the performance of our estimators using simulated datasets based on an actual network experiment studying the effect of social networks on insurance adoptions.
title Design-based Estimation Theory for Complex Experiments
topic Econometrics
url https://arxiv.org/abs/2311.06891