Estimation of causal effects of a time-varying exposure at multiple time points through multivariable mendelian randomization

• Eleanor Sanderson ,

  Roles Conceptualization, Formal analysis, Methodology, Writing – original draft, Writing – review & editing

  * E-mail: eleanor.sanderson@bristol.ac.uk

  Affiliations MRC Integrative Epidemiology Unit at the University of Bristol, Bristol, United Kingdom, Population Health Sciences, Bristol Medical School, University of Bristol, Bristol, United Kingdom

  https://orcid.org/0000-0001-5188-5775

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• Tom G. Richardson,

  Roles Formal analysis, Writing – review & editing

  Affiliations MRC Integrative Epidemiology Unit at the University of Bristol, Bristol, United Kingdom, Population Health Sciences, Bristol Medical School, University of Bristol, Bristol, United Kingdom, Novo Nordisk Research Centre, Headington, Oxford, United Kingdom

  https://orcid.org/0000-0002-7918-2040

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• Tim T. Morris,

  Roles Conceptualization, Writing – review & editing

  Affiliations MRC Integrative Epidemiology Unit at the University of Bristol, Bristol, United Kingdom, Population Health Sciences, Bristol Medical School, University of Bristol, Bristol, United Kingdom

  https://orcid.org/0000-0001-8178-6815

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• Kate Tilling,

  Roles Conceptualization, Methodology, Writing – review & editing

  Affiliations MRC Integrative Epidemiology Unit at the University of Bristol, Bristol, United Kingdom, Population Health Sciences, Bristol Medical School, University of Bristol, Bristol, United Kingdom

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• George Davey Smith

  Roles Conceptualization, Writing – review & editing

  Affiliations MRC Integrative Epidemiology Unit at the University of Bristol, Bristol, United Kingdom, Population Health Sciences, Bristol Medical School, University of Bristol, Bristol, United Kingdom

  https://orcid.org/0000-0002-1407-8314

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