The covariance of causal effect estimators for binary v-structures
Statistics Theory
2025-03-19 v1 Statistics Theory
Abstract
Previously [Journal of Causal Inference, 10, 90-105 (2022)], we computed the variance of two estimators of causal effects for a v-structure of binary variables. Here we show that a linear combination of these estimators has lower variance than either. Furthermore, we show that this holds also when the treatment variable is block randomised with a predefined number receiving treatment, with analogous results to when it is sampled randomly.
Cite
@article{arxiv.2503.14242,
title = {The covariance of causal effect estimators for binary v-structures},
author = {Jack Kuipers and Giusi Moffa},
journal= {arXiv preprint arXiv:2503.14242},
year = {2025}
}
Comments
6 page technical report with 2 figures and 8 pages of supplementary appendices (with 3 more figures)