Novel bounds for causal effects based on sensitivity parameters on the risk difference scale

Unmeasured confounding is an important threat to the validity of observational studies. A common way to deal with unmeasured confounding is to compute bounds for the causal effect of interest, that is, a range of values that is guaranteed to include the true effect, given the observed data. Recently...

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Main Authors: Sjölander Arvid, Hössjer Ola
Format: Article
Language:English
Published: De Gruyter 2021-09-01
Series:Journal of Causal Inference
Subjects:
Online Access:https://doi.org/10.1515/jci-2021-0024
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author Sjölander Arvid
Hössjer Ola
author_facet Sjölander Arvid
Hössjer Ola
author_sort Sjölander Arvid
collection DOAJ
description Unmeasured confounding is an important threat to the validity of observational studies. A common way to deal with unmeasured confounding is to compute bounds for the causal effect of interest, that is, a range of values that is guaranteed to include the true effect, given the observed data. Recently, bounds have been proposed that are based on sensitivity parameters, which quantify the degree of unmeasured confounding on the risk ratio scale. These bounds can be used to compute an E-value, that is, the degree of confounding required to explain away an observed association, on the risk ratio scale. We complement and extend this previous work by deriving analogous bounds, based on sensitivity parameters on the risk difference scale. We show that our bounds can also be used to compute an E-value, on the risk difference scale. We compare our novel bounds with previous bounds through a real data example and a simulation study.
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spelling doaj.art-b1f9c7f76736412eb7cd8442d2ea25002022-12-22T04:06:49ZengDe GruyterJournal of Causal Inference2193-36852021-09-019119021010.1515/jci-2021-0024Novel bounds for causal effects based on sensitivity parameters on the risk difference scaleSjölander Arvid0Hössjer Ola1Department of Medical Epidemiology and Biostatistics, Karolinska Institute, Stockholm, SwedenDepartment of Mathematics, Stockholm University, Stockholm, SwedenUnmeasured confounding is an important threat to the validity of observational studies. A common way to deal with unmeasured confounding is to compute bounds for the causal effect of interest, that is, a range of values that is guaranteed to include the true effect, given the observed data. Recently, bounds have been proposed that are based on sensitivity parameters, which quantify the degree of unmeasured confounding on the risk ratio scale. These bounds can be used to compute an E-value, that is, the degree of confounding required to explain away an observed association, on the risk ratio scale. We complement and extend this previous work by deriving analogous bounds, based on sensitivity parameters on the risk difference scale. We show that our bounds can also be used to compute an E-value, on the risk difference scale. We compare our novel bounds with previous bounds through a real data example and a simulation study.https://doi.org/10.1515/jci-2021-0024causal inferenceboundssensitivity analysise-value92b15
spellingShingle Sjölander Arvid
Hössjer Ola
Novel bounds for causal effects based on sensitivity parameters on the risk difference scale
Journal of Causal Inference
causal inference
bounds
sensitivity analysis
e-value
92b15
title Novel bounds for causal effects based on sensitivity parameters on the risk difference scale
title_full Novel bounds for causal effects based on sensitivity parameters on the risk difference scale
title_fullStr Novel bounds for causal effects based on sensitivity parameters on the risk difference scale
title_full_unstemmed Novel bounds for causal effects based on sensitivity parameters on the risk difference scale
title_short Novel bounds for causal effects based on sensitivity parameters on the risk difference scale
title_sort novel bounds for causal effects based on sensitivity parameters on the risk difference scale
topic causal inference
bounds
sensitivity analysis
e-value
92b15
url https://doi.org/10.1515/jci-2021-0024
work_keys_str_mv AT sjolanderarvid novelboundsforcausaleffectsbasedonsensitivityparametersontheriskdifferencescale
AT hossjerola novelboundsforcausaleffectsbasedonsensitivityparametersontheriskdifferencescale