Partial Identification of Dose Responses with Hidden Confounders
- URL: http://arxiv.org/abs/2204.11206v3
- Date: Mon, 12 Jun 2023 20:59:08 GMT
- Title: Partial Identification of Dose Responses with Hidden Confounders
- Authors: Myrl G. Marmarelis, Elizabeth Haddad, Andrew Jesson, Neda Jahanshad,
Aram Galstyan, Greg Ver Steeg
- Abstract summary: Inferring causal effects of continuous-valued treatments from observational data is a crucial task.
We present novel methodology to bound both average and conditional average continuous-valued treatment-effect estimates.
We apply our method to a real-world observational case study to demonstrate the value of identifying dose-dependent causal effects.
- Score: 25.468473751289036
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Inferring causal effects of continuous-valued treatments from observational
data is a crucial task promising to better inform policy- and decision-makers.
A critical assumption needed to identify these effects is that all confounding
variables -- causal parents of both the treatment and the outcome -- are
included as covariates. Unfortunately, given observational data alone, we
cannot know with certainty that this criterion is satisfied. Sensitivity
analyses provide principled ways to give bounds on causal estimates when
confounding variables are hidden. While much attention is focused on
sensitivity analyses for discrete-valued treatments, much less is paid to
continuous-valued treatments. We present novel methodology to bound both
average and conditional average continuous-valued treatment-effect estimates
when they cannot be point identified due to hidden confounding. A
semi-synthetic benchmark on multiple datasets shows our method giving tighter
coverage of the true dose-response curve than a recently proposed continuous
sensitivity model and baselines. Finally, we apply our method to a real-world
observational case study to demonstrate the value of identifying dose-dependent
causal effects.
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