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  2. STATISTICAL MODELLING Part IIC, Michaelmas 2021Practical 3: Linear…

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P3.pdf
    3 Jun 2024: x <- c(rnorm(24), 4). > y <- 1 x rnorm(25). >
  3. Simultaneous Hypothesis Testing using Internal Negative Controls…

    www.statslab.cam.ac.uk/~qz280/publication/ranc/slides.pdf
    3 Jun 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.
  4. Statistical Tables % points of tn n 0.995 0.99 ...

    www.statslab.cam.ac.uk/~rrw1/stats/tables.pdf
    2 Mar 2000: 10 23.21 20.48 18.31 15.9911 24.73 21.92 19.68 17.2812 26.22 23.34 21.03 18.5513 27.69 24.74 22.36 ... 59 24.7718 34.81 31.53 28.87 25.9919 36.19 32.85 30.14 27.2020 37.57 34.17 31.41 28.4130 50.89 46.98
  5. Towards Reliable Inference for Precision Medicine

    www.statslab.cam.ac.uk/~qz280/talk/jsm-2021/slides.pdf
    3 Jun 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
  6. Two high-profile examples of selection bias Qingyuan Zhao Statistical …

    www.statslab.cam.ac.uk/~qz280/talk/uw-csss-2022/slides.pdf
    3 Jun 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.
  7. Almost Exact Mendelian Randomization Qingyuan Zhao Statistical…

    www.statslab.cam.ac.uk/~qz280/talk/eurocim-2023/slides.pdf
    3 Jun 2024: Fisher’s combination test 0.21. Two-stage least squares 0.02. Qingyuan Zhao (Cambridge) Almost Exact MR April 20, 2023 24 / 26.
  8. Discussion of Random Projection Ensemble Classificationby Timothy I.…

    www.statslab.cam.ac.uk/~rds37/papers/CHEN_SHAH.pdf
    2 Jan 2020: References. Breiman, L. (1996). Stacked regressions. Machine Learning, 24, 49–64. Wolpert, D.
  9. Multiple conditional randomization tests

    www.statslab.cam.ac.uk/~qz280/talk/ims-2022/slides.pdf
    3 Jun 2024: Qingyuan Zhao (University of Cambridge) Multiple conditional randomization tests June 27, 2022 @ IMS Annual Meeting 24 / 26.
  10. 42 Paper 1, Section I 7H StatisticsConsider an estimator ...

    www.statslab.cam.ac.uk/~lab85/resources/Stats2014.pdf
    28 Apr 2023: 24(0.05) = 9.49.]. Part IB, 2014 List of Questions. 43. Paper 4, Section II.
  11. MATHEMATICS OF MACHINE LEARNING Part IIExample Sheet 3 (of ...

    www.statslab.cam.ac.uk/~rds37/teaching/machine_learning/Qu3.pdf
    17 Jan 2024: g̃s = eUsf. βUs. β(s). Show that under the setup of Theorem 24 on the convergence of gradient descent (so inparticular we assume supβC ‖f(β)‖2 L, the output β̄
  12. ex.dvi

    www.statslab.cam.ac.uk/~rrw1/stats/ex3nocom2.pdf
    22 Jan 2008: χ. 24 distribution. Verify from tables. that this probability is a bit less than 0.75 (actually, 0.737). ... Their scores were. Questions written in English: 12 17 19 22 25 25Questions written in Japanese: 10 11 13 16 21 24.
  13. Selective Inference for Effect Modification

    www.statslab.cam.ac.uk/~qz280/publication/effect-modification/slides.pdf
    3 Jun 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.
  14. SISCER Module 12 Lecture 3: Sensitivity analysis

    www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/L3.pdf
    3 Jun 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
  15. Mendelian randomization

    www.statslab.cam.ac.uk/~qz280/talk/mr-tutorial/slides.pdf
    3 Jun 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
  16. How infectious was COVID-19 when it first circulated in Wuhan?

    www.statslab.cam.ac.uk/~qz280/talk/corpus-masterclass-2022/slides.pdf
    3 Jun 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
  17. Cambridge Compromise

    www.statslab.cam.ac.uk/~grg/afco.pdf
    17 Feb 2011: 24 / 31. Discussion. Two classes of method. I non-linear functions: parabolic, power,. ... 24 Estonia 1 340 127 7 8 6. 25 Cyprus 803 147 6 7 6.
  18. www.statslab.cam.ac.uk/~qz280/teaching/index.xml

    www.statslab.cam.ac.uk/~qz280/teaching/index.xml
    3 Jun 2024: Uploaded: <span class="timestamp-wrapper"><span class="timestamp">&lt;2023-11-24 Fri&gt;</span></span>; Updated: <span class="timestamp-wrapper"><span class="timestamp">&lt;2024-01-19 ... Teaching assistant: <a
  19. Design: The Elusive Principle of Statistics

    www.statslab.cam.ac.uk/~qz280/talk/oxford-2024/slides.pdf
    3 Jun 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.
  20. IB Optimisation: Lecture 1

    www.statslab.cam.ac.uk/~mike/optimisation/lecture1.pdf
    24 Apr 2020: IB Optimisation: Lecture 1. Mike Tehranchi. University of Cambridge. 24 April 2020.
  21. 1 May 2024: 15.2] for an account of three log-concavity conjectures for matroids,and to [24] for an overview of the work of [5] and its precursors. ... Proc. Cambridge Philos. Soc. 108 (1990), 35–53. [24] G. Kalai, The work of June Huh, ICM—International
  22. 14 May 2022: J.Mod. Phys. B 24 (2010), 1989–2014. [14] H. Duminil-Copin, M. R. ... 35] A. Kemppainen, Schramm–Loewner Evolution, SpringerBriefs in MathematicalPhysics, vol. 24, Springer, Cham, 2017.
  23. Optimal weighted nearest neighbourclassifiers Richard…

    www.statslab.cam.ac.uk/~rjs57/Essex.pdf
    21 Sep 2012: Γ(. 2 2d)2d/(d4). 24/(d4). R. J. Samworth Nonparametric classification. Further regret comparisons.
  24. SISCER Module 12 Lecture 2: Matching for Cohort Studies

    www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/L2.pdf
    3 Jun 2024: multipleinference. 24 / 29. Observational studies and causal inference Basics of matching Various issues and techniques in matching References.
  25. Comment on “Causal inference using invariant prediction” Qingyuan…

    www.statslab.cam.ac.uk/~qz280/publication/invariant-prediction-comment/comment.pdf
    3 Jun 2024: This hybrid perspective becomes clear whencomparing the assumptions in Equation (4) to (24), (28) or (31).
  26. Mendelian randomization: From genetic association to epidemiological…

    www.statslab.cam.ac.uk/~qz280/publication/mr-partially-bayes/slides.pdf
    3 Jun 2024: rs11191593. 0.24. 0.28. 0.32. 0.36. 2 5 10 20 50 100 200. ... 24/33. Diagnostic plots show satisfactory fit. I Same 160 SNPs, now using RAPS with Huber’s loss function.
  27. 14 Jan 2016: 4n is when about 24.7% of the dice rolls are a 6.
  28. Multiple conditional randomization tests

    www.statslab.cam.ac.uk/~qz280/talk/berkeley-2021/slides.pdf
    3 Jun 2024: Qingyuan Zhao (University of Cambridge) Multiple conditional randomization tests Sep 29, 2021 @ UC Berkeley 24 / 30.
  29. THE WORK OF HUGO DUMINIL-COPIN GEOFFREY R. GRIMMETT Abstract. ...

    www.statslab.cam.ac.uk/~grg/papers/duminil-bio2022.pdf
    5 Jul 2022: In a subsequent work, [24], to which we return later, he introduceda new method for proving exponential decay (and more), and appliedit to a spectrum of processes including all random-cluster ... 24] , Sharp phase transition for the random-cluster and
  30. Brownian network models of ramp metering

    www.statslab.cam.ac.uk/~frank/TALKS/harrison.pdf
    2 Sep 2009: A linear network. Metering policy. Optimal policy? Proportionally fair metering. Slide Number 24.
  31. CAUSAL INTERPRETATIONS OF BLACK-BOX MODELS QINGYUAN ZHAO AND TREVOR…

    www.statslab.cam.ac.uk/~qz280/publication/pdp/paper.pdf
    3 Jun 2024: tation. Journal of Computational and Graphical Statistics, 24(1):44–65, 2015. Donald P Green and Holger L Kern. ... Statistical Association, 107(499):1106–1118, 2012. 24 CAUSAL INTERPRETATIONS OF BLACK-BOX MODELS. US EU JP.
  32. 2 Oct 2001: 3ÑS1H-09;)&%]5X ÒQNh1E/#jG&1 » ,ÉÔÓ#&CÁ ÕÃ )&?#,2;2&cJ8]dOf@XyQ/1b249;:<9r-.9;CH1?A-J#,9;%24'>9;%(G#&?09#,%(-« ... 94%24']?B1HV?0?B1%(- «SC0)]sù9Ch?01 HV?B?01%(-XEh'yQ/1)&?B1:5XÉØX « ' 9CQ-0/1%O94%SG#,?B9;#&%(-XeV-ÄÅ&Æ ' twTO < Ã.
  33. Layout 1

    www.statslab.cam.ac.uk/~rjs57/Eagle_final.pdf
    13 Jan 2015: For a statistician, this is a straightforward problem to solve,yielding estimates â = 1.24 and b̂ = 0.09 of a and b respectively, and the fittedcurve displayed in Figure
  34. Causal Inference: An Introduction Qingyuan Zhao Statistical…

    www.statslab.cam.ac.uk/~qz280/talk/ssrmp-2020/slides.pdf
    3 Jun 2024: Cycle of statistical research is restored:. Conjecture Data collection. ModellingAnalysis. Qingyuan Zhao (Stats Lab) Causal Inference: An Introduction SSRMP 24 / 57.
  35. CAUSAL INFERENCE - Example Sheet 2 Solutions J. Hera ...

    www.statslab.cam.ac.uk/~qz280/teaching/causal-2023/S2.pdf
    3 Jun 2024: Q 2 We use the naming convention of Figure 1 and apply the result of Lemma 3.24 w.l.o.g.
  36. Two-Sample Instrumental Variable Analysis: Challenges and Some…

    www.statslab.cam.ac.uk/~qz280/publication/two-sample-iv/slides.pdf
    3 Jun 2024: References. 24/42. Should we include very weak instruments? Theorem (Asymptotic normality).
  37. Proportional fairness and product form

    www.statslab.cam.ac.uk/~frank/TALKS/ima2010.pdf
    27 Apr 2010: First cut constraint. Second cut constraint. Product form. Outline. Slide Number 24.
  38. 11. Lecture 12. The linear model Lecture 12. The ...

    www.statslab.cam.ac.uk/~sb2116/Statistics_IB/slides/S1B-17-12-linear.pdf
    4 Feb 2020: Simple linear regression. Example 12.1. For each of 24 males, the maximum volume of oxygen uptake in the blood andthe time taken to run 2 miles (in minutes) were measured. ... 24,. where εi are independent random variables with variance σ2, and a and b
  39. rol.dvi

    www.statslab.cam.ac.uk/~grg/papers/rol.pdf
    15 Aug 2012: F., Percolation theory and some. applications, Itogi Nauki i Techniki (Series of Probability Theory, Mathematical Statistics,Theoretical Cybernetics) 24 (1986), 53–110.
  40. seminar.dvi

    www.statslab.cam.ac.uk/~rrw1/talks/netshop.pdf
    18 Jan 2007: u) infx();u()_x=uc(x)x()2 A Z 0 I(u)dt:24.
  41. PowerPoint Presentation

    www.statslab.cam.ac.uk/~rrw1/talks/ir.pdf
    18 Jan 2007: 37 36 35 34 33 32 31 12. lastmove 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16
  42. Unco rrecte d Pr oof Non-Coupling from the Past ...

    www.statslab.cam.ac.uk/~grg/papers/cftp-pub.pdf
    15 Jan 2021: 24). By similar arguments,. μ(M < 2, N = 0) = 0, (25)μ(M = 1) = 0. ... μ(N = 1) = μ(N = 1, M = 0) by (24)= μ(M = 0) by (25) and (23)= μ(A1 A2)= μ(Ar ), r = 1, 2, by (26).
  43. WIAS2013.dvi

    www.statslab.cam.ac.uk/~rjs57/WIAS2013.pdf
    3 Feb 2013: R. J. Samworth Log-concavity. Breast cancer data. February 3, 2013- 24.
  44. Mendelian Randomization: Old and New Insights Qingyuan Zhao…

    www.statslab.cam.ac.uk/~qz280/talk/penn-biostat-2021/slides.pdf
    3 Jun 2024: 0.24. 0.28. 0.32. 0.36. 2 5 10 20 50 100 200.
  45. 11 Sep 2013: g.r.grimmett, z.li}@statslab.cam.ac.ukhttp://www.statslab.cam.ac.uk/grg/http://www.statslab.cam.ac.uk/zl296/. Submitted: Aug 24, 2012; Accepted: Aug 8, 2013; Published: ... 1/nn exist and, by (24)–(25), these limits are. equal. the electronic journal
  46. 16 Aug 2005: 0"!7#V2[545H--L. ] 5421#1-4>%B-/&H>.4J5%.4#4J!7-%_2[545B!"5H0" &!721,[-8 3@ba ... R:4!70&%24-=>-24>?21S3c!S 11 4jM)04B-Q4B4 O!"07#1248 414 OGI24d21Hd21>.
  47. The 1-2 model

    www.statslab.cam.ac.uk/~grg/papers/conm14020.pdf
    18 Aug 2017: lattice. This last problemmay be solved using the Pfaffian representation of Kasteleyn [15], Fisher [5], andTemperley and Fisher [24]. ... Inform.Theory 54 (2008), no. 5, 2179–2195, DOI 10.1109/TIT.2008.920245. MR2450856. [24] H.
  48. houches.dvi

    www.statslab.cam.ac.uk/~grg/papers/houches.pdf
    15 Aug 2012: θΛ(p, q) = φΛ,p,q(A). (24). It is not hard to see that.
  49. 9. Lecture 10. Tests of homogeneity, and connections toconfidence ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-10-homogeneity-CIs.pdf
    20 Feb 2017: Medicine 416 99 24% 578 140 24%Veterinary medicine 338 53 16% 180 22 12%. ... Total 1184 274 23 % 2470 584 24%. In all subjects, the acceptance rate was higher for women!
  50. 19 Nov 2004: We refer thereader to [24], p.214 for a definition and basic properties of sub-gradients of convex functions. ... Performance Evaluation (2002) 49, 451–469. [24] Rockafellar (T.), Convex Analysis. (1970) Princeton University Press.
  51. 6 Nov 2023: E[|Y |1(|Y | λ)] E[|X|1(|Y | λ)] ε. Lemma 2.24. Let (Xn)n,X L1 and Xn X as n a.s. ... 24. 2.9 Applications of martingales. Theorem 2.32. [Kolmogorov’s 0-1 law] Let (Xi)i1 be a sequence of i.i.d.

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