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STATISTICAL MODELLING Part IIC, Michaelmas 2021Practical 3: Linear…
www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P3.pdf3 Jun 2024: x <- c(rnorm(24), 4). > y <- 1 x rnorm(25). > -
Simultaneous Hypothesis Testing using Internal Negative Controls…
www.statslab.cam.ac.uk/~qz280/publication/ranc/slides.pdf3 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. -
Statistical Tables % points of tn n 0.995 0.99 ...
www.statslab.cam.ac.uk/~rrw1/stats/tables.pdf2 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 -
Towards Reliable Inference for Precision Medicine
www.statslab.cam.ac.uk/~qz280/talk/jsm-2021/slides.pdf3 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 -
Two high-profile examples of selection bias Qingyuan Zhao Statistical …
www.statslab.cam.ac.uk/~qz280/talk/uw-csss-2022/slides.pdf3 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. -
Almost Exact Mendelian Randomization Qingyuan Zhao Statistical…
www.statslab.cam.ac.uk/~qz280/talk/eurocim-2023/slides.pdf3 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. -
Discussion of Random Projection Ensemble Classificationby Timothy I.…
www.statslab.cam.ac.uk/~rds37/papers/CHEN_SHAH.pdf2 Jan 2020: References. Breiman, L. (1996). Stacked regressions. Machine Learning, 24, 49–64. Wolpert, D. -
Multiple conditional randomization tests
www.statslab.cam.ac.uk/~qz280/talk/ims-2022/slides.pdf3 Jun 2024: Qingyuan Zhao (University of Cambridge) Multiple conditional randomization tests June 27, 2022 @ IMS Annual Meeting 24 / 26. -
42 Paper 1, Section I 7H StatisticsConsider an estimator ...
www.statslab.cam.ac.uk/~lab85/resources/Stats2014.pdf28 Apr 2023: 24(0.05) = 9.49.]. Part IB, 2014 List of Questions. 43. Paper 4, Section II. -
MATHEMATICS OF MACHINE LEARNING Part IIExample Sheet 3 (of ...
www.statslab.cam.ac.uk/~rds37/teaching/machine_learning/Qu3.pdf17 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 -
ex.dvi
www.statslab.cam.ac.uk/~rrw1/stats/ex3nocom2.pdf22 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. -
Selective Inference for Effect Modification
www.statslab.cam.ac.uk/~qz280/publication/effect-modification/slides.pdf3 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. -
SISCER Module 12 Lecture 3: Sensitivity analysis
www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/L3.pdf3 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 -
Mendelian randomization
www.statslab.cam.ac.uk/~qz280/talk/mr-tutorial/slides.pdf3 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 -
How infectious was COVID-19 when it first circulated in Wuhan?
www.statslab.cam.ac.uk/~qz280/talk/corpus-masterclass-2022/slides.pdf3 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 -
Cambridge Compromise
www.statslab.cam.ac.uk/~grg/afco.pdf17 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. -
www.statslab.cam.ac.uk/~qz280/teaching/index.xml
www.statslab.cam.ac.uk/~qz280/teaching/index.xml3 Jun 2024: Uploaded: <span class="timestamp-wrapper"><span class="timestamp"><2023-11-24 Fri></span></span>; Updated: <span class="timestamp-wrapper"><span class="timestamp"><2024-01-19 ... Teaching assistant: <a -
Design: The Elusive Principle of Statistics
www.statslab.cam.ac.uk/~qz280/talk/oxford-2024/slides.pdf3 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. -
IB Optimisation: Lecture 1
www.statslab.cam.ac.uk/~mike/optimisation/lecture1.pdf24 Apr 2020: IB Optimisation: Lecture 1. Mike Tehranchi. University of Cambridge. 24 April 2020. -
DOMINIC WELSH (1938–2023) GEOFFREY R. GRIMMETT If the principal ...
www.statslab.cam.ac.uk/~grg/papers/welsh1.pdf1 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 -
SELECTED PROBLEMS IN PROBABILITY THEORY GEOFFREY R. GRIMMETT…
www.statslab.cam.ac.uk/~grg/papers/cb2.pdf14 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. -
Optimal weighted nearest neighbourclassifiers Richard…
www.statslab.cam.ac.uk/~rjs57/Essex.pdf21 Sep 2012: Γ(. 2 2d)2d/(d4). 24/(d4). R. J. Samworth Nonparametric classification. Further regret comparisons. -
SISCER Module 12 Lecture 2: Matching for Cohort Studies
www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/L2.pdf3 Jun 2024: multipleinference. 24 / 29. Observational studies and causal inference Basics of matching Various issues and techniques in matching References. -
Comment on “Causal inference using invariant prediction” Qingyuan…
www.statslab.cam.ac.uk/~qz280/publication/invariant-prediction-comment/comment.pdf3 Jun 2024: This hybrid perspective becomes clear whencomparing the assumptions in Equation (4) to (24), (28) or (31). -
Mendelian randomization: From genetic association to epidemiological…
www.statslab.cam.ac.uk/~qz280/publication/mr-partially-bayes/slides.pdf3 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. -
MATHEMATICAL TRIPOS: PART IA Lent 2016 PROBABILITY FPKExample Sheet…
www.statslab.cam.ac.uk/~frank/PROB/exsh1.pdf14 Jan 2016: 4n is when about 24.7% of the dice rolls are a 6. -
Multiple conditional randomization tests
www.statslab.cam.ac.uk/~qz280/talk/berkeley-2021/slides.pdf3 Jun 2024: Qingyuan Zhao (University of Cambridge) Multiple conditional randomization tests Sep 29, 2021 @ UC Berkeley 24 / 30. -
THE WORK OF HUGO DUMINIL-COPIN GEOFFREY R. GRIMMETT Abstract. ...
www.statslab.cam.ac.uk/~grg/papers/duminil-bio2022.pdf5 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 -
Brownian network models of ramp metering
www.statslab.cam.ac.uk/~frank/TALKS/harrison.pdf2 Sep 2009: A linear network. Metering policy. Optimal policy? Proportionally fair metering. Slide Number 24. -
CAUSAL INTERPRETATIONS OF BLACK-BOX MODELS QINGYUAN ZHAO AND TREVOR…
www.statslab.cam.ac.uk/~qz280/publication/pdp/paper.pdf3 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. -
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www.statslab.cam.ac.uk/~james/Markov/s17.pdf2 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. -
Layout 1
www.statslab.cam.ac.uk/~rjs57/Eagle_final.pdf13 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 -
Causal Inference: An Introduction Qingyuan Zhao Statistical…
www.statslab.cam.ac.uk/~qz280/talk/ssrmp-2020/slides.pdf3 Jun 2024: Cycle of statistical research is restored:. Conjecture Data collection. ModellingAnalysis. Qingyuan Zhao (Stats Lab) Causal Inference: An Introduction SSRMP 24 / 57. -
CAUSAL INFERENCE - Example Sheet 2 Solutions J. Hera ...
www.statslab.cam.ac.uk/~qz280/teaching/causal-2023/S2.pdf3 Jun 2024: Q 2 We use the naming convention of Figure 1 and apply the result of Lemma 3.24 w.l.o.g. -
Two-Sample Instrumental Variable Analysis: Challenges and Some…
www.statslab.cam.ac.uk/~qz280/publication/two-sample-iv/slides.pdf3 Jun 2024: References. 24/42. Should we include very weak instruments? Theorem (Asymptotic normality). -
Proportional fairness and product form
www.statslab.cam.ac.uk/~frank/TALKS/ima2010.pdf27 Apr 2010: First cut constraint. Second cut constraint. Product form. Outline. Slide Number 24. -
11. Lecture 12. The linear model Lecture 12. The ...
www.statslab.cam.ac.uk/~sb2116/Statistics_IB/slides/S1B-17-12-linear.pdf4 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 -
rol.dvi
www.statslab.cam.ac.uk/~grg/papers/rol.pdf15 Aug 2012: F., Percolation theory and some. applications, Itogi Nauki i Techniki (Series of Probability Theory, Mathematical Statistics,Theoretical Cybernetics) 24 (1986), 53–110. -
seminar.dvi
www.statslab.cam.ac.uk/~rrw1/talks/netshop.pdf18 Jan 2007: u) infx();u()_x=uc(x)x()2 A Z 0 I(u)dt:24. -
PowerPoint Presentation
www.statslab.cam.ac.uk/~rrw1/talks/ir.pdf18 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 -
Unco rrecte d Pr oof Non-Coupling from the Past ...
www.statslab.cam.ac.uk/~grg/papers/cftp-pub.pdf15 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). -
WIAS2013.dvi
www.statslab.cam.ac.uk/~rjs57/WIAS2013.pdf3 Feb 2013: R. J. Samworth Log-concavity. Breast cancer data. February 3, 2013- 24. -
Mendelian Randomization: Old and New Insights Qingyuan Zhao…
www.statslab.cam.ac.uk/~qz280/talk/penn-biostat-2021/slides.pdf3 Jun 2024: 0.24. 0.28. 0.32. 0.36. 2 5 10 20 50 100 200. -
Self-avoiding walksand the Fisher transformation Geoffrey Grimmett…
www.statslab.cam.ac.uk/~grg/papers/fisher5.pdf11 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 -
��������� ��� ���������� �� � ��������� �� ����� ��!�"# ...
www.statslab.cam.ac.uk/~rjs57/NonParaRegR.pdf16 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>. -
The 1-2 model
www.statslab.cam.ac.uk/~grg/papers/conm14020.pdf18 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. -
houches.dvi
www.statslab.cam.ac.uk/~grg/papers/houches.pdf15 Aug 2012: θΛ(p, q) = φΛ,p,q(A). (24). It is not hard to see that. -
9. Lecture 10. Tests of homogeneity, and connections toconfidence ...
www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-10-homogeneity-CIs.pdf20 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! -
Fair Internet traffic integration:network flow models and analysis…
www.statslab.cam.ac.uk/~frank/PAPERS/kmbk1.pdf19 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. -
Advanced Probability Perla Sousi∗ November 6, 2023 Contents 1 ...
www.statslab.cam.ac.uk/~ps422/mynotes.pdf6 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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