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  2. Exploratory Data Analysis | Qingyuan Zhao

    https://www.statslab.cam.ac.uk/~qz280/tag/exploratory-data-analysis/
    3 Jun 2024: The increasing availability and scale of Genome Wide Association Studies (GWAS) bring new horizons for understanding biological mechanisms.
  3. PathGPS 1 PathGPS: Discover shared genetic architecture using GWAS ...

    https://www.statslab.cam.ac.uk/~qz280/publication/pathgps/paper.pdf
    3 Jun 2024: email: hastie@stanford.edu. Summary: The increasing availability and scale of biobanks and “omic” datasets bring new horizons for un-. ... multiple new hypotheses for future investigations. Key words: GWAS; Pathway analysis; Structural equation model;
  4. Research

    https://www.statslab.cam.ac.uk/~rjs57/Research.html
    21 Jun 2024: Chen, W., Mazumder, R. and Samworth, R. J. (2024) A new computational framework for log-concave density estimation. ... Selected recent talks. Log-concavity: New theory and methodology (Berlin, January 2013) (.pdf, 392K).
  5. Probability J.R. Norris January 22, 2024 1 Contents 1 ...

    https://www.statslab.cam.ac.uk/~james/Lectures/p.pdf
    22 Jan 2024: P(A|B) = P(A B)P(B). For fixed B, we can define a new function P̃ : F [0,1] by.
  6. NON-SELF-TOUCHING PATHS IN PLANE GRAPHS GEOFFREY R. GRIMMETT…

    https://www.statslab.cam.ac.uk/~grg/papers/qt-matching7.pdf
    12 Feb 2024: These new vertices are called facial sites,. and the graph Ĝ is called the facial graph of G. ... For A C(G), we shall construct a new cycle B = Ext(A) called the exteriorcycle of A.
  7. PERCOLATION CRITICAL PROBABILITIESOF MATCHING LATTICE-PAIRS GEOFFREY…

    https://www.statslab.cam.ac.uk/~grg/papers/percprob-rsa6.pdf
    20 Feb 2024: graph, denoted Ĝ, that is obtained from G by placing a new vertex within eachnon-triangular face of G and joining this new vertex to each vertex of the face. ... These new verticesare called facial sites, or simply sites in order to distinguish them
  8. Small Data, Big Time—A retrospect of the first weeks of COVID-19

    https://www.statslab.cam.ac.uk/~qz280/publication/covid-19-retrospect/paper.pdf
    3 Jun 2024: Similar to many other new human diseases, there was an initial period of confusion. ... The leftpanel shows the new incidences with no exposure to the Huanan Seafood Market; the right panel showsthe logarithm of the cumulative incidences.
  9. Mathematics of Machine LearningRajen D. Shah…

    https://www.statslab.cam.ac.uk/~rds37/teaching/machine_learning/notes.pdf
    12 Mar 2024: form new datasets D1,. ,DB and performs the following. 1. For each b = 1,. ... New convex functions from old:. (i) Let g : C R be a (strictly) convex function.
  10. Lecture Notes on Statistical Modelling Qingyuan Zhao December 2, ...

    https://www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/notes.pdf
    3 Jun 2024: The cycle: conjecture–design–experiment–analysis leads to a new cycle of conjecture–design–experiment–analysis and so on. ... 2 log f(Yn1; θ̂) | θ̂. }where the expectation is taken over a new observation Yn1.
  11. Statistical modellingLecturer: Alberto J. Coca…

    https://www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/notes_3Dec19.pdf
    3 Jun 2024: Then,. Var(β̃) = σ2(XTX)1 σ2DDT = Var(β̂) σ2DDT. In particular, β̂ being BLUE means that given a new observation x Rp, we can estimatethe regression function at x optimally ... 9. Prediction intervals. Let x Rp be a new observation. We can
  12. https://www.statslab.cam.ac.uk/~qz280/tag/mendelian-randomization/inde…

    https://www.statslab.cam.ac.uk/~qz280/tag/mendelian-randomization/index.xml
    3 Jun 2024: 2021/ Mendelian randomization: Old and new insights https://www.statslab.cam.ac.uk/qz280/talk/penn-biostat-2021/ Fri, 16 Apr 2021 18:00:00 0000 ... uk/qz280/talk/penn-biostat-2021/ Mendelian randomization: Old and new insights
  13. A note on post-treatment selection in studying racial discrimination…

    https://www.statslab.cam.ac.uk/~qz280/publication/policing-risk-ratio/
    3 Jun 2024: We propose using an estimand new for this context—the causal risk ratio, which has more transparent interpretation and requires weaker identification assumptions.
  14. Qingyuan Zhao | Qingyuan Zhao

    https://www.statslab.cam.ac.uk/~qz280/author/qingyuan-zhao/
    3 Jun 2024: I am interested in improving the general quality and appraisal of statistical research, including new methodology and a better understanding of causal inference, novel study designs, sensitivity analysis, multiple testing, and
  15. Migrating my website to Hugo + Academic + ox-hugo | Qingyuan Zhao

    https://www.statslab.cam.ac.uk/~qz280/post/migrating/
    3 Jun 2024: To add this new publication to my webpage, I can execute the following command. ... So my homepage only contains two widgets. Additionally, I created a custom widget page called news to make announcements and display new content.
  16. Richard Nickl’s Publications Page Books [A] Mathematical foundations…

    https://www.statslab.cam.ac.uk/~nickl/Site/publications.html
    10 May 2024: Bernoulli News 24 (2) (2017) 5-9.
  17. Frank Kelly's papers

    https://www.statslab.cam.ac.uk/~frank/PAPERS/
    30 Mar 2024: Rui Carvalho, Lubos Buzna, Richard Gibbens and Frank Kelly. New J. ... Tariffing in the new IP/ATM environment.
  18. Lecture Notes on Causal Inference(with corrections) Qingyuan Zhao May …

    https://www.statslab.cam.ac.uk/~qz280/teaching/causal-2023/notes-2021.pdf
    3 Jun 2024: Treatment Ai A = {0, 1}. Example: a new drug. –
  19. Statistical Modeling: Returning to its roots | Qingyuan Zhao

    https://www.statslab.cam.ac.uk/~qz280/post/breiman-reprint-2021/
    3 Jun 2024: Scientific research is usually an iterative process. The cycle: conjecture-design-experiment-analysis leads to a new cycle of conjecture-design-experiment-analysis and so on. ... statisticians (including me) are trained to develop new techniques and most
  20. Bayesian Non-linear Statistical Inverse Problems

    https://www.statslab.cam.ac.uk/~nickl/Site/__files/FINALBOOKPDF.pdf
    16 Jan 2024: 1) For m 2 N and given #m, generate a new draw (the ‘proposal’). ... The statistical intuition behind this algorithm is simple: We compute the new(conditionally Gaussian) proposal sm and perform a likelihood ratio test against theprevious position #m
  21. Is this estimand really an average treatment effect? | Qingyuan Zhao

    https://www.statslab.cam.ac.uk/~qz280/post/policing-ate-estimand/
    3 Jun 2024: The new paper shows that a weaker assumption called subset ignorability is sufficient for the identification.
  22. https://www.statslab.cam.ac.uk/~qz280/post/index.xml

    https://www.statslab.cam.ac.uk/~qz280/post/index.xml
    3 Jun 2024: We invented some new notation to distinguish some different types of graph connections/separations. ... Macros for the new notation can be found in the file below:</p> <p> <a
  23. https://www.statslab.cam.ac.uk/~qz280/index.xml

    https://www.statslab.cam.ac.uk/~qz280/index.xml
    3 Jun 2024: We invented some new notation to distinguish some different types of graph connections/separations. ... Macros for the new notation can be found in the file below:</p> <p> <a
  24. https://www.statslab.cam.ac.uk/~qz280/tag/causal-inference/index.xml

    https://www.statslab.cam.ac.uk/~qz280/tag/causal-inference/index.xml
    3 Jun 2024: The cycle: conjecture-design-experiment-analysis leads to a new cycle of conjecture-design-experiment-analysis and so on. ... The new paper shows that a weaker assumption called subset ignorability is sufficient for the identification.
  25. https://www.statslab.cam.ac.uk/~qz280/tag/philosophy/index.xml

    https://www.statslab.cam.ac.uk/~qz280/tag/philosophy/index.xml
    3 Jun 2024: Philosophy | Qingyuan Zhao https://www.statslab.cam.ac.uk/qz280/tag/philosophy/ Philosophy Source Themes Academic (https://sourcethemes.com/academic/) en-us 2024 Tue, 10 Jan 2023 09:27:00 0000
  26. SISCER Module 12 Causal Inference with Observational Data: Common…

    https://www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/L0.pdf
    3 Jun 2024: I I develop new methods and apply causal inference methods to answer scientificquestions. ... I New methodology and better understanding of causal inference;. I Novel study designs;.
  27. Practical: Randomization inference

    https://www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/S1.pdf
    3 Jun 2024: would be violated if, for example,the hospital staff need some time to adjust to the new system.).
  28. 1-dgk.dvi

    https://www.statslab.cam.ac.uk/~grg/books/hammfest/1-dgk.pdf
    22 Mar 2024: be made to bring before school teachers a review of the exciting and reallyquite simple — but new — kinds of mathematics that could easily andusefully be added to the curriculum, whether they
  29. SISCER Module 12 Lecture 4: Matched Case-Control Studies

    https://www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/L4.pdf
    3 Jun 2024: New England Journal of Medicine,284(15):878–881. Rosenbaum, P. R. (1991). Sensitivity analysis for matched case-control studies.
  30. STATISTICAL MODELLING Part IIC, Michaelmas 2021Practical 2: More on…

    https://www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P2.pdf
    3 Jun 2024: Writing functions. When writing anything but a short algorithm, it is often easiest to edit the commands from a text file.In Rstudio create a new Rscript using CtrlShiftN.
  31. PUBLICATIONS OF DOMINIC WELSH 1962 [1] J. M. Hammersley ...

    https://www.statslab.cam.ac.uk/~grg/papers/welsh-bib.pdf
    6 Jun 2024: Springer, New York, 1969. [14] D. J. A. Welsh. Transversal theory and matroids. ... Math. Appl., volume 72, pages 133–148. Springer, New York, 1995. [80] L.
  32. MATHEMATICS OF MACHINE LEARNING Part IIExample Sheet 2 (of ...

    https://www.statslab.cam.ac.uk/~rds37/teaching/machine_learning/Qu2.pdf
    20 Feb 2024: To decide the winner, the classifiers are applied to n new i.i.d.datapoints (the so-called test data).
  33. SISCER Module 12 Lecture 1: Randomization inference

    https://www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/L1.pdf
    3 Jun 2024: 12 wards in 2 hospitals were randomized to switch from an old model of weekendallied health services to no services, before adopting a new model of services.(You can visualize the ... Rosenbaum, P. R. (2002). Observational Studies. Springer Series in
  34. STATISTICAL MODELLING Part IIC, Michaelmas 2021Practical 6: Binomial…

    https://www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P6.pdf
    3 Jun 2024: new function, do? ... Fit a new model such that the z-test for the coefficient of mumMyopicanswers this question.
  35. STATISTICAL MODELLING Part IIC, Michaelmas 2021Practical 1:…

    https://www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P1.pdf
    3 Jun 2024: par(new=TRUE). Experiment with other distributions and other sample sizes. Exercises.
  36. STATISTICAL MODELLING Part IIC, Michaelmas 2021 Practical 8:…

    https://www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P8.pdf
    3 Jun 2024: One new piece of information in thesummary is the estimate of the dispersion parameter, which is based on the estimate. ... For a betteralternative, see the practical video.) Try fitting a new model with this term removed and store this inGammaMod0.Is
  37. STATISTICAL MODELLING Part IIC, Michaelmas 2021Practical 3: Linear…

    https://www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P3.pdf
    3 Jun 2024: Omitting the last observation pushes the estimatesfor the coefficients almost to the edge of their 23% confidence ellipsoid—not necessarily a big cause forconcern.Now create a new response y2 as ... predict.lm) can be used to give xT β̂ for a new
  38. STATISTICAL MODELLING Part IIC, Michaelmas 2019Practical 2: More on…

    https://www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P2S.pdf
    3 Jun 2024: Now, let’s see what happens if we make some of the true coefficients different from 0.# Compute t-statistics in 10000 simulations from the new modelt_stat_mat2 <-
  39. Confounder Selection via Iterative Graph Expansion Qingyuan Zhao…

    https://www.statslab.cam.ac.uk/~qz280/talk/lse-2024/slides.pdf
    3 Jun 2024: They provided a new definition: “a pre-exposure covariate C for which there exists a set of othercovariates X such that effect of the exposure on the outcome is unconfounded conditional
  40. Using sparsity to overcome unmeasured confounding:Two examples…

    https://www.statslab.cam.ac.uk/~qz280/talk/mrc-bsu-2019/slides.pdf
    3 Jun 2024: Old and new problems. Epidemiology and public health: effectiveness of prevention/treatment, causaleffect of risk factors, etc. ... Qingyuan Zhao (Stats Lab) Specificity MRC-BSU Seminar 27 / 30. New MR results.
  41. Small Data, Big Time—A retrospect of the first weeks of COVID-19

    https://www.statslab.cam.ac.uk/~qz280/talk/rss-2021/slides.pdf
    3 Jun 2024: Jun 9 New naming system for variants of interest and concern. ... Two initial studies. 1 Q. Li, et al. Early transmission dynamics in Wuhan, China, of novel coronavirusinfected pneumonia.New England Journal of Medicine.
  42. Discovering Mechanistic Heterogeneity using Mendelian Randomization

    https://www.statslab.cam.ac.uk/~qz280/talk/pcic-2020/slides.pdf
    3 Jun 2024: Genetic studies of body mass index yield new insightsfor obesity biology”.
  43. Confounder Selection via (Iterative) Graph Expansion Qingyuan Zhao…

    https://www.statslab.cam.ac.uk/~qz280/talk/pcic-2023/slides.pdf
    3 Jun 2024: Outline. 1 Review. 2 New approach. Qingyuan Zhao (Cambridge) Confounder selection September 17, 2023 2 / 17. ... Outline. 1 Review. 2 New approach. Qingyuan Zhao (Cambridge) Confounder selection September 17, 2023 3 / 17.
  44. Multiple conditional randomization tests

    https://www.statslab.cam.ac.uk/~qz280/talk/ims-2022/slides.pdf
    3 Jun 2024: How should we resolve this? Our proposal. Use a new term—quasi-randomization tests. ... 2 To provide a unifying framework that incorporates many old and new ideasabout multiple conditional randomization tests.
  45. Comment on “Causal inference using invariant prediction” Qingyuan…

    https://www.statslab.cam.ac.uk/~qz280/publication/invariant-prediction-comment/comment.pdf
    3 Jun 2024: proteins. Using their own method, Sachs et al. [2005] reportedly recovered 15of the known directed arcs and discovered two new putative links (not shown),and missed 3 of the interactions which
  46. Bootstrapping Sensitivity Analysis

    https://www.statslab.cam.ac.uk/~qz280/publication/sensitivity-ipw/slides.pdf
    3 Jun 2024: Rosenbaum’s paradigm New bootstrap approach. Population Sample Super-population. Design Matching Weighting. ... Statistical Science, 17(3):309–321, 2002. P. R. Rosenbaum. Observational Studies. Springer New York, 2002.
  47. STATISTICAL MODELLING Part IIC, Michaelmas 2021Practical 4: More on…

    https://www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P4.pdf
    3 Jun 2024: Fit a new linear model omitting thisobservation and also omitting the Screens variable.
  48. Curriculum Vitae

    https://www.statslab.cam.ac.uk/~qz280/files/cv.pdf
    20 Mar 2024: May 2022–Apr 2025 EPSRC New Investigator Award “Statistical Inference for Novel Study De-signs” (£246,805; sole PI). ... 2017 Atlantic Causal Inference Conference, New York, New York, USA; University of Bristol(MRC Integrative Epidemiology Unit).
  49. Simultaneous Hypothesis Testing using Internal Negative Controls…

    https://www.statslab.cam.ac.uk/~qz280/publication/ranc/slides.pdf
    3 Jun 2024: Solid threshold: A “new” method. There are two ways to obtain this threshold:.
  50. Mendelian randomization

    https://www.statslab.cam.ac.uk/~qz280/talk/mr-tutorial/slides.pdf
    3 Jun 2024: Advanced lipoprotein testingA “new” technology—Nuclear Magnetic Resonance (NMR)—can nowmeasure subclass traits such as. ... 39/40. MR screening for lipoprotein subclasses. Scientific TakeawayI The new results show clear heterogeneity among HDL.
  51. Selection bias in 2020 Qingyuan Zhao Statistical Laboratory,…

    https://www.statslab.cam.ac.uk/~qz280/talk/ocis-2020/slides.pdf
    3 Jun 2024: Common mistake: New data Existing model = New results. Qingyuan Zhao (Stats Lab, Cambridge) Selection bias in 2020 Dec.

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