Sensitivity Analysis for Attributable Effects in Case$^2$ Studies

Fuente: arXiv
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Autori principali: Chen, Kan, Ye, Ting, Small, Dylan S.
Natura: Preprint
Pubblicazione: 2024
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author Chen, Kan
Ye, Ting
Small, Dylan S.
author_facet Chen, Kan
Ye, Ting
Small, Dylan S.
contents The case$^2$ study, also referred to as the case-case study design, is a valuable approach for conducting inference for treatment effects. Unlike traditional case-control studies, the case$^2$ design compares treatment in two types of cases with the same disease. A key quantity of interest is the attributable effect, which is the number of cases of disease among treated units which are caused by the treatment. Two key assumptions that are usually made for making inferences about the attributable effect in case$^2$ studies are 1.) treatment does not cause the second type of case, and 2.) the treatment does not alter an individual's case type. However, these assumptions are not realistic in many real-data applications. In this article, we present a sensitivity analysis framework to scrutinize the impact of deviations from these assumptions on obtained results. We also include sensitivity analyses related to the assumption of unmeasured confounding, recognizing the potential bias introduced by unobserved covariates. The proposed methodology is exemplified through an investigation into whether having violent behavior in the last year of life increases suicide risk via 1993 National Mortality Followback Survey dataset.
format Preprint
id arxiv_https___arxiv_org_abs_2405_16046
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Sensitivity Analysis for Attributable Effects in Case$^2$ Studies
Chen, Kan
Ye, Ting
Small, Dylan S.
Methodology
Applications
The case$^2$ study, also referred to as the case-case study design, is a valuable approach for conducting inference for treatment effects. Unlike traditional case-control studies, the case$^2$ design compares treatment in two types of cases with the same disease. A key quantity of interest is the attributable effect, which is the number of cases of disease among treated units which are caused by the treatment. Two key assumptions that are usually made for making inferences about the attributable effect in case$^2$ studies are 1.) treatment does not cause the second type of case, and 2.) the treatment does not alter an individual's case type. However, these assumptions are not realistic in many real-data applications. In this article, we present a sensitivity analysis framework to scrutinize the impact of deviations from these assumptions on obtained results. We also include sensitivity analyses related to the assumption of unmeasured confounding, recognizing the potential bias introduced by unobserved covariates. The proposed methodology is exemplified through an investigation into whether having violent behavior in the last year of life increases suicide risk via 1993 National Mortality Followback Survey dataset.
title Sensitivity Analysis for Attributable Effects in Case$^2$ Studies
topic Methodology
Applications
url https://arxiv.org/abs/2405.16046