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  2. STATISTICAL MODELLING Part IIC / Michaelmas 2022Example Sheet 1 ...

    https://www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/E1.pdf
    27 Jul 2024: 12. Prove that in the linear model Y = Xβ ε with ε | X Nn(0,σ2I), the F-test and t-test fortesting H0 : βp = 0 versus H1 : βp 6= 0 ... β̂2p{(XTX)1}ppσ̂2. =‖(H H0)Y‖21. np‖(I H)Y‖2. Verify the equivalence of the F- and t-tests in an
  3. STATISTICAL MODELLING Part IIC, Michaelmas 2019Practical 2: More on…

    https://www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P2S.pdf
    27 Jul 2024: itis safe to use this test from the point of view of false rejections. ... In fact, the numerical output of qqplot_Fsuggests that the Type-I error for a test with level 5% is about 4.1%.
  4. SISCER Module 12 Lecture 2: Matching for Cohort Studies

    https://www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/L2.pdf
    27 Jul 2024: Inference methods. I Randomization tests (Lecture 1): e.g., Fisher exact test,Cochran–Mantel–Haenszel test, Wilcoxon’s rank sum test, Wilcoxon’s signed ranktest, and permutation tests. ... S. (2010). Using the cross-match test to appraise
  5. STATISTICAL MODELLING Part IIC, Michaelmas 2019 Practical 8:…

    https://www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P8S.pdf
    27 Jul 2024: S. A. Bacallado. and Dr. R. Shah. Studying the effect of sociabilitySuppose we want to test the effect of sociability, as measured by the variables go_out_f and ... 1] 0.5351263anova(GammaMod0,GammaMod1,test="F"). ## Analysis of Deviance Table#### Model 1
  6. STATISTICAL MODELLING Part IIC, Michaelmas 2021Practical 2: More on…

    https://www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P2.pdf
    27 Jul 2024: the points on the Q–Q plot lie above the diagonal it suggests that the usual t-test withnominal level α will have a size greater than α (why?). ... On the other hand, if the points lie below thediagonal, the t-test will be conservative and have size
  7. Towards Reliable Inference for Precision Medicine

    https://www.statslab.cam.ac.uk/~qz280/talk/jsm-2021/slides.pdf
    27 Jul 2024: I Strengths: Free of selection bias; scientifically rigorous.I Limitations: Cannot test too many; no flexibility. ... Selecting positive ITRs. I Simply needs to test the hypotheses H0i : r0 6Γ ri, i = 1,.
  8. CAUSAL INFERENCE - Example Sheet 1 Solutions J. Hera ...

    https://www.statslab.cam.ac.uk/~qz280/teaching/causal-2023/S1.pdf
    27 Jul 2024: that the sharp null hypothesis is true. For a level-alpha test against the alternative that. ... 1. (2.11). This can then be used to construct asymptotic tests and confidence intervals ofn.
  9. The Randomization Principle in Causal Inference: A Modern Look ...

    https://www.statslab.cam.ac.uk/~qz280/talk/imperial-2022/slides.pdf
    27 Jul 2024: Pitman (1937).“Significance Tests Which May Be Applied To Samples From Any Populations”. ... What is randomization test? Below: a precise description of conditional randomization tests that is a folklore among a small group ofcausal inference
  10. Fisher, Statistics, and Randomization

    https://www.statslab.cam.ac.uk/~qz280/talk/fisher-2022/slides.pdf
    27 Jul 2024: Outline. 1 Fisher and randomizationRole 1: Avoid hidden biasRole 2: Justification of experimental inferenceRole 3: Randomization tests. ... 3 Provide a basis for exact tests of significance and related interval estimates.
  11. STATISTICAL MODELLING Part IIC / Michaelmas 2022Example Sheet 3 ...

    https://www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/E3.pdf
    27 Jul 2024: Pick a college (possibly your own) and test whether it is an outlier. ... What is the issue withusing your test to now determine whether this college is an outlier?
  12. Practical: Mendelian randomization

    https://www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/P3.pdf
    27 Jul 2024: 7. Perform the default Mendelian randomisation tests using the function mr.
  13. SISCER Module 15 Practice 2: Matching/Weighting and Sensitivity…

    https://www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/S2.pdf
    27 Jul 2024: mean (SD)) "0.35 (0.48)" "0.27 (0.45)"## dietary.adequacy.missingind (mean (SD)) "0.32 (0.47)" "0.23 (0.42)"## Stratified by physically.inactive## p test## n "" ""## sex (%) ... Wilcoxon signed rank test, a randomization test.# This is only appliable to
  14. STATISTICAL MODELLING Part IIC, Michaelmas 2019Practical 5: ANOVA and …

    https://www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P5S.pdf
    27 Jul 2024: fit. Would it be possible to compare EssayMarksLM2 and EssayMarksLM5 through an F-test? ... We can check that theanova function does not perform a test:anova(EssayMarksLM2,EssayMarksLM4).
  15. BETS: The dangers of selection bias in early analyses ...

    https://www.statslab.cam.ac.uk/~qz280/talk/ido-2021/slides.pdf
    27 Jul 2024: False negative test: Her first test was negative. A few days later she wastested again and the result came back positive. ... The principle is to only include cases as Wuhan-exported that pass a “beyond areasonable doubt” test.
  16. BETS: The dangers of selection bias in early analyses ...

    https://www.statslab.cam.ac.uk/~qz280/talk/osu-2020/slides.pdf
    27 Jul 2024: False negative test: Her first test was negative. A few days later she wastested again and the result came back positive. ... The principle is to only include cases as Wuhan-exported that pass a “beyond areasonable doubt” test.
  17. The Cycle of Statistical Research Qingyuan Zhao Statistical…

    https://www.statslab.cam.ac.uk/~qz280/talk/ccimi-2020/slides.pdf
    27 Jul 2024: History. Three movements:. Around 1900: Standard deviation, correlation, regression analysis, method ofmoments, χ2-test, student’s t-test,. ... 1930s – 1940s: Confidence intervals, power of a statistical test, stratifiedsampling, decision theory
  18. CAUSAL INFERENCE Part III / Michaelmas 2023Example Sheet 3 ...

    https://www.statslab.cam.ac.uk/~qz280/teaching/causal-2023/E3.pdf
    27 Jul 2024: 1. Γ πi/(1 πi)πn1i/(1 πn1i). Γ, i [n1]. For the sign test (see ES1 Q8b), derive a “upper bounding” asymptotic randomization p-value for thismodel.
  19. Practical: Matching/Weighting and Sensitivity Analysis

    https://www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/P2.pdf
    27 Jul 2024: Remark: For example, we can apply the Wilcoxon signed rank test, as follows.
  20. STATISTICAL MODELLING Part IIC, Michaelmas 2021Practical 1:…

    https://www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P1.pdf
    27 Jul 2024: To make sure that neither of them is more lenient than the other,they want to test whether their average marks are equal.
  21. Mendelian Randomization: Old and New Insights Qingyuan Zhao…

    https://www.statslab.cam.ac.uk/~qz280/talk/epfl-2021/slides.pdf
    27 Jul 2024: Randomization tests to find causal variants (Spielman, McGinnis, &Ewens, 1993; Bates et al., 2020). ... I Randomization test for the sharp null H0 : Y (1) Y (0) = β.I Key idea: Under H0, Y (0) = Y βX.
  22. MR Data Challenge 2019 — The role of lipoprotein subfractions in…

    https://www.statslab.cam.ac.uk/~qz280/talk/mr-raps-markdown/report.pdf
    27 Jul 2024: The mr.raps package further implements diagnostics and falsification test of the MR analysis. ... Estimated overdispersion variance: 1.67e-08, standard error: 8.61e-09, p-value: 0.052. ## ANOVA test: are the weights and residuals independent? ##
  23. Selecting and ranking individualized treatment rules with…

    https://www.statslab.cam.ac.uk/~qz280/talk/selective-inference-webinar-2021/slides.pdf
    27 Jul 2024: Better alternative: reduce the number of tests using a planning sample (Heller et al. ... Objective 3: Selecting the positive ITRs. Simply needs to test the hypotheses H0i : r0 6Γ ri, i = 1,.
  24. Comment on “Causal inference using invariant prediction” Qingyuan…

    https://www.statslab.cam.ac.uk/~qz280/publication/invariant-prediction-comment/comment.pdf
    27 Jul 2024: We would welcomethe authors’ comments on this summary. To test the empirical performance of ICP, we use the authors’ software ona protein signaling network dataset. ... c) without enough interventions, the set of causal parentsis unidentifiable, and
  25. Statistical modellingLecturer: Alberto J. Coca…

    https://www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/notes_3Dec19.pdf
    27 Jul 2024: Often we want to test whether a given group of variables is significant. ... One sensible way of proceeding is to construct a generalised likelihood ratio test.
  26. How infectious was COVID-19 when it first circulated in Wuhan?

    https://www.statslab.cam.ac.uk/~qz280/talk/corpus-masterclass-2022/slides.pdf
    27 Jul 2024: What happened? PCR tests were being developed and distributed. Evidence elsewhere1 COVID-19’s pathogen—SARS-CoV-2—is far from the first human coronavirus.
  27. Mendelian Randomization: Old and New Insights Qingyuan Zhao…

    https://www.statslab.cam.ac.uk/~qz280/talk/penn-biostat-2021/slides.pdf
    27 Jul 2024: Randomization tests to find causal variants (Spielman, McGinnis, &Ewens, 1993; Bates et al., 2020). ... I Randomization test for the sharp null H0 : Y (1) Y (0) = β.I Key idea: Under H0, Y (0) = Y βX.
  28. SISCER Module 12 Lecture 3: Sensitivity analysis

    https://www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/L3.pdf
    27 Jul 2024: I By further assuming no unmeasured confounders Ai Yi (a) | Xi for all a,randomization tests can be constructed as in randomized experiments.
  29. https://www.statslab.cam.ac.uk/~qz280/talk/index.xml

    https://www.statslab.cam.ac.uk/~qz280/talk/index.xml
    27 Jul 2024: talk/ccaim-summer-school-2022/ Multiple conditional randomization tests https://www.statslab.cam.ac.uk/qz280/talk/mcp-2022/ Wed, 31 Aug 2022 13:45:00 0000 ... ac.uk/qz280/talk/mcp-2022/ Multiple conditional randomization tests
  30. PathGPS 1 PathGPS: Discover shared genetic architecture using GWAS ...

    https://www.statslab.cam.ac.uk/~qz280/publication/pathgps/paper.pdf
    27 Jul 2024: regard the SNPs with at least one significant marginal association test as signal SNPs (1200. ... in total). We regard the SNPs with no significant marginal association tests as noise SNPs.
  31. Lecture Notes on Statistical Modelling Qingyuan Zhao December 2, ...

    https://www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/notes.pdf
    27 Jul 2024: 112.3.3 Confidence sets. 112.3.4 Hypothesis tests and analysis of variance. 12. ... The level-α likelihood ratio test rejects H0 : β1 = 0 when F > Fpp0,np(α).
  32. Multiple conditional randomization tests

    https://www.statslab.cam.ac.uk/~qz280/talk/mcp-2022/slides.pdf
    27 Jul 2024: This is a permutation test, although resampling is not needed. Qingyuan Zhao (University of Cambridge) Multiple conditional randomization tests August 31, 2022 @ MCP Conference 14 / 26. ... Permutation tests for treatment effect in randomized experiments.
  33. CAUSAL INFERENCE - Example Sheet 2 Solutions J. Hera ...

    https://www.statslab.cam.ac.uk/~qz280/teaching/causal-2023/S2.pdf
    27 Jul 2024: The author agrees and sets this coecientto 0.9. This issue is discussed in the last paragraph of the section “Tests of initial a priorimodels” and in section “Sensitivity analysis”.
  34. History of the Statistical Laboratory | Statistical Laboratory

    https://www.statslab.cam.ac.uk/history-statistical-laboratory
    28 Jul 2024: Search site. Statistical Laboratory. History of the Statistical Laboratory. A Realised Path. The Cambridge Statistical Laboratory upto 1993 (revised 2002). Contents. 1. 1947-55 Creation and confirmation. 1955-61 Disaster and diaspora. 1961-66 The
  35. On Sensitivity Value of Pair-Matched Observational Studies

    https://www.statslab.cam.ac.uk/~qz280/publication/sensitivity-value/slides.pdf
    27 Jul 2024: Can test the sharpnull hypothesis by e.g. Wilcoxon’s signed rank test. ... I When Γ > 1: Rosenbaum obtained lower and upper bounds ofthe p-value of any signed score test.
  36. https://www.statslab.cam.ac.uk/~qz280/index.xml

    https://www.statslab.cam.ac.uk/~qz280/index.xml
    27 Jul 2024: or I would call them “tests of unusualness” or “tests of aberrance” or “test of fishiness”) as tests where the treatment (or any variable, for ... randomization tests creates a “control group of numbers” to
  37. Machine Learning meets Biostatistics IIA crash course on Causal ...

    https://www.statslab.cam.ac.uk/~qz280/talk/ccaim-summer-school-2022/slides.pdf
    27 Jul 2024: How do we test XJ XK | XL in DAG models?
  38. Publications | Statistical Laboratory

    https://www.statslab.cam.ac.uk/publications?page=44
    28 Jul 2024: PharmacoEconomics. (2012). 23,. 853. (doi: 10.2165/00019053-200523080-00010). Incorporation of uncertainty in health economic modelling studies. ... M Nuijten. – PharmacoEconomics. (2012). 23,. 851. (doi: 10.2165/00019053-200523080-00009).
  39. Qingyuan Zhao

    https://www.statslab.cam.ac.uk/~qz280/
    27 Jul 2024: 2024-02-08 2:00 PM — 3:00 PM London School of Economics and Political Science (LSE).
  40. Testimonials from Our Clients | The Statistics Clinic

    https://www.statslab.cam.ac.uk/clinic/testimonials.html
    28 Jul 2024: Heather, Department of Economics). Thank you, what a great free service for us "lost" biologists to be able to more accurately understand our data and hopefully avoid wrong interpretations.
  41. Dr Qingyuan Zhao | Statistical Laboratory

    https://www.statslab.cam.ac.uk/person/qz280
    28 Jul 2024: 2023). (link to publication). What is a Randomization Test? Y Zhang, Q Zhao. –
  42. 1-dgk.dvi

    https://www.statslab.cam.ac.uk/~grg/books/hammfest/1-dgk.pdf
    22 Mar 2024: Thiswas his skill in concocting the all but insoluble scholarship questions thatwere then in vogue (and which passed the test of acceptance only if theybaffled one’s fellow examiners).
  43. Randomization (project page) | Qingyuan Zhao

    https://www.statslab.cam.ac.uk/~qz280/project/randomization/
    27 Jul 2024: We apply ideas from post-selection inference to randomization tests for adaptive experiments. ... August 2022The meaning of randomization tests has become obscure in statistics education and practice over the last century.
  44. 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
    27 Jul 2024: This means that evidence from theprevious commercial tests, which had already identified a SARS-like coronavirus a week earlier, could notbe relied on in the official investigations. ... No new cases were announced before January 17, because the local
  45. 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).
  46. Practical: Randomization inference

    https://www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/S1.pdf
    27 Jul 2024: Why?• How can you "invert" the randomization tests to obtain an interval estimator of the treatment. ... On the other hand, the randomization test is based on the randomization introduced by theexperimenter.
  47. SISCER Module 12 Lecture 1: Randomization inference

    https://www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/L1.pdf
    27 Jul 2024: It turns out that Fisher’s exact test is also valid for this problem. ... Example: Fisher's exact test. Example: Stepped-wedge design. Example: Matched observational studies.
  48. Probability J.R. Norris January 22, 2024 1 Contents 1 ...

    https://www.statslab.cam.ac.uk/~james/Lectures/p.pdf
    22 Jan 2024: A test is performed on arandomly chosen person, which is known empirically to give a positive result for 98% ofpeople affected by the condition and 1% of those unaffected. ... Suppose the test is positive.What is the probability that the chosen person
  49. https://www.statslab.cam.ac.uk/~qz280/author/yao-zhang/index.xml

    https://www.statslab.cam.ac.uk/~qz280/author/yao-zhang/index.xml
    27 Jul 2024: 00:00 0000 https://www.statslab.cam.ac.uk/qz280/publication/marginal-sensitivity-semiparametric/ What is a randomization test? ... tests https://www.statslab.cam.ac.uk/qz280/publication/multiple-crts/ Thu, 22 Apr 2021 09:27:32 0000
  50. BETS: The dangers of selection bias in early analyses ...

    https://www.statslab.cam.ac.uk/~qz280/talk/ghent-2021/slides.pdf
    27 Jul 2024: False negative test: Her first test was negative. A few days later she wastested again and the result came back positive. ... The principle is to only include cases as Wuhan-exported that pass a “beyond areasonable doubt” test.
  51. CAUSAL INFERENCE Part III / Michaelmas 2023Example Sheet 2 ...

    https://www.statslab.cam.ac.uk/~qz280/teaching/causal-2023/E2.pdf
    27 Jul 2024: Read the abstract andthe section “Tests of Initial a Priori Model” (page 649–651) in the paper titled “Causal Ordering ofAcademic Self-Concept and Academic Achievement: A Multiwave, Longitudinal Panel Analysis”

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