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Bounding the probabilities of benefit and harm through sensitivity parameters and proxies
Linköping University, Department of Computer and Information Science, The Division of Statistics and Machine Learning. Linköping University, Faculty of Science & Engineering.
2023 (English)In: Journal of Causal Inference, ISSN 2193-3677, E-ISSN 2193-3685, Vol. 11, no 1, article id 20230012Article in journal (Refereed) Published
Abstract [en]

We present two methods for bounding the probabilities of benefit (a.k.a. the probability of necessity and sufficiency, i.e., the desired effect occurs if and only if exposed) and harm (i.e., the undesired effect occurs if and only if exposed) under unmeasured confounding. The first method computes the upper or lower bound of either probability as a function of the observed data distribution and two intuitive sensitivity parameters, which can then be presented to the analyst as a 2-D plot to assist in decision-making. The second method assumes the existence of a measured nondifferential proxy for the unmeasured confounder. Using this proxy, tighter bounds than the existing ones can be derived from just the observed data distribution.

Place, publisher, year, edition, pages
DE GRUYTER POLAND SP Z O O , 2023. Vol. 11, no 1, article id 20230012
Keywords [en]
sensitivity analysis; probability of necessity and sufficiency; unmeasured confounding; proxies
National Category
Geophysics
Identifiers
URN: urn:nbn:se:liu:diva-199747DOI: 10.1515/jci-2023-0012ISI: 001115028000001OAI: oai:DiVA.org:liu-199747DiVA, id: diva2:1821680
Note

Funding Agencies|Swedish Research Council [2019-00245]

Available from: 2023-12-20 Created: 2023-12-20 Last updated: 2024-09-27

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Pena, Jose M
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CiteExportLink to record
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Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf