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Main Authors: Stensrud, Mats J., Laurendeau, Julien, Sarvet, Aaron L.
Format: Preprint
Published: 2022
Subjects:
Online Access:https://arxiv.org/abs/2203.03020
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author Stensrud, Mats J.
Laurendeau, Julien
Sarvet, Aaron L.
author_facet Stensrud, Mats J.
Laurendeau, Julien
Sarvet, Aaron L.
contents We consider optimal regimes for algorithm-assisted human decision-making. Such regimes are decision functions of measured pre-treatment variables and, by leveraging natural treatment values, enjoy a "superoptimality" property whereby they are guaranteed to outperform conventional optimal regimes. When there is unmeasured confounding, the benefit of using superoptimal regimes can be considerable. When there is no unmeasured confounding, superoptimal regimes are identical to conventional optimal regimes. Furthermore, identification of the expected outcome under superoptimal regimes in non-experimental studies requires the same assumptions as identification of value functions under conventional optimal regimes when the treatment is binary. To illustrate the utility of superoptimal regimes, we derive new identification and estimation results in a common instrumental variable setting. We use these derivations to analyze examples from the optimal regimes literature, including a case study of the effect of prompt intensive care treatment on survival.
format Preprint
id arxiv_https___arxiv_org_abs_2203_03020
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Optimal regimes for algorithm-assisted human decision-making
Stensrud, Mats J.
Laurendeau, Julien
Sarvet, Aaron L.
Methodology
Statistics Theory
We consider optimal regimes for algorithm-assisted human decision-making. Such regimes are decision functions of measured pre-treatment variables and, by leveraging natural treatment values, enjoy a "superoptimality" property whereby they are guaranteed to outperform conventional optimal regimes. When there is unmeasured confounding, the benefit of using superoptimal regimes can be considerable. When there is no unmeasured confounding, superoptimal regimes are identical to conventional optimal regimes. Furthermore, identification of the expected outcome under superoptimal regimes in non-experimental studies requires the same assumptions as identification of value functions under conventional optimal regimes when the treatment is binary. To illustrate the utility of superoptimal regimes, we derive new identification and estimation results in a common instrumental variable setting. We use these derivations to analyze examples from the optimal regimes literature, including a case study of the effect of prompt intensive care treatment on survival.
title Optimal regimes for algorithm-assisted human decision-making
topic Methodology
Statistics Theory
url https://arxiv.org/abs/2203.03020