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22 Jul 2024: Qingyuan Zhao. Statistical Laboratory, University of Cambridge. September 24, 2020 @ Ohio State University. ... Qingyuan Zhao (Stats Lab, Cambridge) BETS on COVID-19 Sep 14, 2020 24 / 49.

22 Jul 2024: Mother’s Father’s educationeducation 1 2 3 4. 1 81 3 9 112 14 8 9 63 43 7 43 184 21 6 24 87.

22 Jul 2024: Estimation. Hypothesis Tests. NumericalExamples. Summary. 24/49. Statistical model for confounding. Linear model for the responses (e.g.

22 Jul 2024: 41 45 62Date 01-20 01-21 01-23 01-24 01-25 01-26 01-27 01-28 01-29 01-30 01-31Cases 198 258 425 495 572 618

22 Jul 2024: 18] 0.0001 [0.08, 0.24]Crossover, ward & time 0.0000 [0.24, 0.33] 0.0000 [0.11, 0.21] 0.0001 [0.09, 0.23]. ... Linear model 0.0000 [0.24, 0.34] 0.0000 [0.11, 0.22] 0.0001 [0.08, 0.24].

22 Jul 2024: Qingyuan Zhao (Stats Lab) Specificity/Sparsity ISCB 2020 24 / 27. Focal point 2: Robust adjusted profile score (RAPS). ... Qingyuan Zhao (Stats Lab) Specificity/Sparsity ISCB 2020 24 / 27. New MR results.

22 Jul 2024: x <- c(rnorm(24), 4). > y <- 1 x rnorm(25). >

22 Jul 2024: The heuristic in Hung et al. (2014) corresponds to using λ = 1 or q = π, which is quitesensible!Qingyuan Zhao (Cambridge) Negative controls March 29 @ Penn 24 / 31.

22 Jul 2024: Fisher’s combination test 0.21. Two-stage least squares 0.02. Qingyuan Zhao (Cambridge) Almost Exact MR April 20, 2023 24 / 26.

22 Jul 2024: Initial Date of first medical visit 23-Jan 6.5% NA. Confirmed Date confirmed 24-Jan. ... Qingyuan Zhao (Stats Lab, Cambridge) Two high-profile examples of selection bias May 11, 2022 24 / 29.

22 Jul 2024: 24/27. Objective 2 & 3. Selecting maximal ITRs. I Key observation: P(ri 6Γ rj is rejected |ri Rmax,Γ) α.I This motivates us to use all the “leaves” in ... S. Small, P. R. Rosenbaum, Journal of the American Statistical Association 113, 1070–1084

22 Jul 2024: Qingyuan Zhao (University of Cambridge) Multiple conditional randomization tests June 27, 2022 @ IMS Annual Meeting 24 / 26.

14 May 1996: Graphentheoretische Methoden und ihre Anwendungen. pp. 56-59. Berlin: SpringerVerlag (1969). [24] Langton, C.G.

22 Jul 2024: Department of Statistics, University of Pennsylvania. May 24, ACIC 2017. Manuscript and slides are available athttp://www-stat.wharton.upenn.edu/qyzhao/. ... Selectiveinference foreffectmodification. Numericalexamples. Future work. References. 24/28.

22 Jul 2024: 0 g. 1-14 g. 15-24 g. >25 g. Ratio Difference. Lung cancer 0.07 0.47 0.86 1.66 23.71 1.59Other cancer 2.04 2.01 ... Then. M(. Γ) R(Γ) M(Γ). 24 / 26. Motivating example: Smoking and lung cancer Sensitivity analysis for matching Other methods under NUCA

22 Jul 2024: 41 45 62Date 01-20 01-21 01-23 01-24 01-25 01-26 01-27 01-28 01-29 01-30 01-31Cases 198 258 425 495 572 618

22 Jul 2024: β̂IVW = Mean(β̂j,weights =1/σ2j ). 2. Weighted median:. β̂WMED = Median(β̂j,weights =1/σ2j ). 3. MR-Egger regression:. β̂Egger = lm(Γ̂j γ̂j,weights =1/σ2j ). 24/40. Weak instrument biasI

22 Jul 2024: Red (symptom onsets before January 24): 3.9 days (2.9–5.5). Original study: 6.4 days (5.8–7.1). ... Initial Date of first medical visit 23-Jan 6.5% NA. Confirmed Date confirmed 24-Jan.

22 Jul 2024: This hybrid perspective becomes clear whencomparing the assumptions in Equation (4) to (24), (28) or (31).

22 Jul 2024: multipleinference. 24 / 29. Observational studies and causal inference Basics of matching Various issues and techniques in matching References.