This is a one-hour presentation to the Online Causal Inference Seminar in June 2020.
References about Evidence Factors
Rosenbaum Paul R. Evidence factors in observational studies. Biometrika. 2010 Jun;97(2):333-45. https://doi.org/10.1093/biomet/asq019 In JSTOR: https://www.jstor.org/stable/25734089
Rosenbaum Paul R. Some approximate evidence factors in observational studies. Journal of the American Statistical Association. 2011 Mar 1;106(493):285-95. https://doi.org/10.1198/jasa.2011.tm10422 In JSTOR: https://www.jstor.org/stable/41415552
Rosenbaum Paul R. The general structure of evidence factors in observational studies. Statistical Science. 2017;32(4):514-30. In ProjectEuclid http://doi:10.1214/17-STS621 and JSTOR https://www.jstor.org/stable/26408856
Rosenbaum Paul R. Replication and Evidence Factors in Observational Studies. Chapman and Hall/CRC; 2021 Mar 30. See the link in this web page under tab Books -> Replication and Evidence Factors in Observational Studies
Karmakar B, Small DS, Rosenbaum PR. Using evidence factors to clarify exposure biomarkers. American Journal of Epidemiology. 2020 Mar 2;189(3):243-9. https://doi.org/10.1093/aje/kwz263
Rosenbaum Paul R. A second evidence factor for a second control group. Biometrics. 2023 Dec;79(4):3968-80. https://doi.org/10.1111/biom.13921
Rosenbaum PR. A New Construction of Evidence Factors in an Observational Study of Light Daily Alcohol Consumption and Longevity. Journal of the American Statistical Association. 2026, to appear. https://doi.org/10.1080/01621459.2026.2624858
References about Triangulation in Causal Inference
Although evidence factors and triangulation are distinct topics in causal inference, they are related. See, for instance:
Lawlor DA, Tilling K, Davey Smith G. Triangulation in aetiological epidemiology. International Journal of Epidemiology. 2016 Dec 1;45(6):1866-86. https://doi.org/10.1093/ije/dyw314
Munafò MR, Davey Smith G. Robust research needs many lines of evidence. Nature. 2018 Jan 25;553(7689):399-401. https://doi.org/10.1038/d41586-018-01023-3