Impact of nonrandom selection mechanisms on the causal effect estimation for two-sample Mendelian randomization methods

• Yuanyuan Yu ,

  Contributed equally to this work with: Yuanyuan Yu, Lei Hou

  Roles Methodology, Software, Writing – original draft

  Affiliations Department of Biostatistics, School of Public Health, Cheeloo College of Medicine, Shandong University, Jinan, People’s Republic of China, Institute for Medical Dataology, Cheeloo College of Medicine, Shandong University, Jinan, People’s Republic of China

  https://orcid.org/0000-0001-6304-0817

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• Lei Hou ,

  Contributed equally to this work with: Yuanyuan Yu, Lei Hou

  Roles Data curation, Software, Validation, Writing – original draft

  Affiliations Department of Biostatistics, School of Public Health, Cheeloo College of Medicine, Shandong University, Jinan, People’s Republic of China, Institute for Medical Dataology, Cheeloo College of Medicine, Shandong University, Jinan, People’s Republic of China

  https://orcid.org/0000-0002-5636-4028

  ⨯
• Xu Shi,

  Roles Supervision, Writing – review & editing

  Affiliation Department of Biostatistics, University of Michigan, Ann Arbor, Michigan, United States of America

  https://orcid.org/0000-0001-8566-9552

  ⨯
• Xiaoru Sun,

  Roles Validation, Writing – review & editing

  Affiliations Department of Biostatistics, School of Public Health, Cheeloo College of Medicine, Shandong University, Jinan, People’s Republic of China, Institute for Medical Dataology, Cheeloo College of Medicine, Shandong University, Jinan, People’s Republic of China

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• Xinhui Liu,

  Roles Investigation, Visualization

  Affiliations Department of Biostatistics, School of Public Health, Cheeloo College of Medicine, Shandong University, Jinan, People’s Republic of China, Institute for Medical Dataology, Cheeloo College of Medicine, Shandong University, Jinan, People’s Republic of China

  https://orcid.org/0000-0002-7894-1172

  ⨯
• Yifan Yu,

  Roles Data curation, Formal analysis

  Affiliations Department of Biostatistics, School of Public Health, Cheeloo College of Medicine, Shandong University, Jinan, People’s Republic of China, Institute for Medical Dataology, Cheeloo College of Medicine, Shandong University, Jinan, People’s Republic of China

  https://orcid.org/0000-0002-3317-1960

  ⨯
• Zhongshang Yuan,

  Roles Writing – review & editing

  Affiliations Department of Biostatistics, School of Public Health, Cheeloo College of Medicine, Shandong University, Jinan, People’s Republic of China, Institute for Medical Dataology, Cheeloo College of Medicine, Shandong University, Jinan, People’s Republic of China

  https://orcid.org/0000-0002-3527-4488

  ⨯
• Hongkai Li ,

  Roles Conceptualization, Methodology, Writing – review & editing

  * E-mail: lihongkaiyouxiang@163.com (HL); xuefzh@sdu.edu.cn (FX)

  Current address: Institute for Medical Dataology, Cheeloo College of Medicine, Shandong University, Jinan, People’s Republic of China

  Affiliations Department of Biostatistics, School of Public Health, Cheeloo College of Medicine, Shandong University, Jinan, People’s Republic of China, Institute for Medical Dataology, Cheeloo College of Medicine, Shandong University, Jinan, People’s Republic of China

  ⨯
• Fuzhong Xue

  Roles Conceptualization, Supervision, Writing – review & editing

  * E-mail: lihongkaiyouxiang@163.com (HL); xuefzh@sdu.edu.cn (FX)

  Current address: Institute for Medical Dataology, Cheeloo College of Medicine, Shandong University, Jinan, People’s Republic of China

  Affiliations Department of Biostatistics, School of Public Health, Cheeloo College of Medicine, Shandong University, Jinan, People’s Republic of China, Institute for Medical Dataology, Cheeloo College of Medicine, Shandong University, Jinan, People’s Republic of China

  https://orcid.org/0000-0003-0378-7956

  ⨯