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  2. Sensitivity analysis via stochastic programming

    www.statslab.cam.ac.uk/~qz280/talk/icsds-2023/slides.pdf
    3 Jun 2024: Blattman, Christopher and Jeannie Annan (2010). “The Consequences of ChildSoldiering”. In: The Review of Economics and Statistics 92.4, pp. ... In:American Economic Review 93, pp. 126–132. Saltelli, Andrea et al. (2004).
  3. STATISTICAL MODELLING Part IIC, Michaelmas 2021Practical 5: ANOVA and …

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P5.pdf
    3 Jun 2024: interaction.plot(Photo, Quality, fitted.values(EssayMarksLM2)). > interaction.plot(Quality, Photo, fitted.values(EssayMarksLM2)). To test for the presence of interactions, we again use an F-test:. > ... Would it be possible to com-pare the models
  4. Simultaneous Hypothesis Testing using Internal Negative Controls…

    www.statslab.cam.ac.uk/~qz280/publication/ranc/slides.pdf
    3 Jun 2024: Den. sity. Protein under investigation negative control. (a) P-values from a two-sample “t-test”. ... Enabled by validity PRDS. Global/intersection null: Simes’ test;. FWER: Hochberg-Hommel procedure (closure of Simes’ test);.
  5. STATISTICAL MODELLING Part IIC, Michaelmas 2021Practical 4: More on…

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P4.pdf
    3 Jun 2024: If the goal is to test the significanceof some coefficients, post model-selection inference is needed to control statistical errors. ... Note that we supplied the models in order of nestedness, and so the anova functionperforms F-tests between adjacent
  6. www.statslab.cam.ac.uk/~qz280/index.xml

    www.statslab.cam.ac.uk/~qz280/index.xml
    3 Jun 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
  7. Almost Exact Mendelian Randomization Qingyuan Zhao Statistical…

    www.statslab.cam.ac.uk/~qz280/talk/eurocim-2023/slides.pdf
    3 Jun 2024: 1993). “Transmission Test for Linkage Disequilibrium: The Insulin Gene Regionand Insulin-Dependent Diabetes Mellitus (IDDM).”. ... Fisher’s combination test 0.03 0.05 0.16. Two-stage least squares < 1020 4.5 1011.
  8. Practical: Matching/Weighting and Sensitivity Analysis

    www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/P4.pdf
    3 Jun 2024: standard error with CR2 small-sample correctioncoeftest.twfe <- coef_test(fit.twfe, vcov = "CR2", cluster = mpdta$countyreal)coeftest.twfe[2,]. ... CR2 small-sample correctioncoeftest.twfe.dynamic <- coef_test(fit.twfe.dynamic, vcov = "CR2", cluster =
  9. STATISTICAL MODELLING Part IIC / Michaelmas 2022Example Sheet 2 ...

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/E2.pdf
    3 Jun 2024: Hint: Use (2). How canwe construct a hypothesis test based on η̃i to test whether the i. ... Then apply your hypothesis test to check whetherthe observation corresponding to humans is an outlier.
  10. STATISTICAL MODELLING Part IIC / Michaelmas 2022Example Sheet 1 ...

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/E1.pdf
    3 Jun 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
  11. SISCER Module 12 Lecture 2: Matching for Cohort Studies

    www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/L2.pdf
    3 Jun 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
  12. STATISTICAL MODELLING Part IIC, Michaelmas 2019Practical 2: More on…

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P2S.pdf
    3 Jun 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%.
  13. STATISTICAL MODELLING Part IIC, Michaelmas 2019 Practical 8:…

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P8S.pdf
    3 Jun 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
  14. STATISTICAL MODELLING Part IIC, Michaelmas 2021Practical 2: More on…

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P2.pdf
    3 Jun 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
  15. Towards Reliable Inference for Precision Medicine

    www.statslab.cam.ac.uk/~qz280/talk/jsm-2021/slides.pdf
    3 Jun 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,.
  16. CAUSAL INFERENCE - Example Sheet 1 Solutions J. Hera ...

    www.statslab.cam.ac.uk/~qz280/teaching/causal-2023/S1.pdf
    3 Jun 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.
  17. Fisher, Statistics, and Randomization

    www.statslab.cam.ac.uk/~qz280/talk/fisher-2022/slides.pdf
    3 Jun 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.
  18. The Randomization Principle in Causal Inference: A Modern Look ...

    www.statslab.cam.ac.uk/~qz280/talk/imperial-2022/slides.pdf
    3 Jun 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
  19. STATISTICAL MODELLING Part IIC / Michaelmas 2022Example Sheet 3 ...

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/E3.pdf
    3 Jun 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?
  20. SISCER Module 15 Practice 2: Matching/Weighting and Sensitivity…

    www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/S2.pdf
    3 Jun 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
  21. Practical: Mendelian randomization

    www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/P3.pdf
    3 Jun 2024: 7. Perform the default Mendelian randomisation tests using the function mr.
  22. STATISTICAL MODELLING Part IIC, Michaelmas 2019Practical 5: ANOVA and …

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P5S.pdf
    3 Jun 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).
  23. BETS: The dangers of selection bias in early analyses ...

    www.statslab.cam.ac.uk/~qz280/talk/ido-2021/slides.pdf
    3 Jun 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.
  24. BETS: The dangers of selection bias in early analyses ...

    www.statslab.cam.ac.uk/~qz280/talk/osu-2020/slides.pdf
    3 Jun 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.
  25. The Cycle of Statistical Research Qingyuan Zhao Statistical…

    www.statslab.cam.ac.uk/~qz280/talk/ccimi-2020/slides.pdf
    3 Jun 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
  26. CAUSAL INFERENCE Part III / Michaelmas 2023Example Sheet 3 ...

    www.statslab.cam.ac.uk/~qz280/teaching/causal-2023/E3.pdf
    3 Jun 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.
  27. Practical: Matching/Weighting and Sensitivity Analysis

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

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

    www.statslab.cam.ac.uk/~qz280/talk/epfl-2021/slides.pdf
    3 Jun 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.
  30. www.statslab.cam.ac.uk/~qz280/tag/freedman/index.xml

    www.statslab.cam.ac.uk/~qz280/tag/freedman/index.xml
    3 Jun 2024: or I would call them &ldquo;tests of unusualness&rdquo; or &ldquo;tests of aberrance&rdquo; or &ldquo;test of fishiness&rdquo;) as tests where the treatment (or any variable, for ... randomization tests creates a &ldquo;control group of numbers&rdquo; to
  31. Rajen Shah's Home Page

    www.statslab.cam.ac.uk/~rds37/
    30 May 2024: Shah, R. D. and Bühlmann, P. (2017) Goodness-of-fit tests for high-dimensional linear models. ... Shah, R. D. and Samworth, R. J. (2015) Discussion of An adaptive resampling test for detecting the presence of significant predictors by McKeague, I.
  32. Group Members

    www.statslab.cam.ac.uk/~rjs57/Group.html
    18 Jun 2024: Yining Chen (Assistant Professor then Associate Professor, Department of Statistics, London School of Economics and Political Science). ... Tengyao Wang (Lecturer, Department of Statistical Science, University College London; Associate Professor, London
  33. MR Data Challenge 2019 — The role of lipoprotein subfractions in…

    www.statslab.cam.ac.uk/~qz280/talk/mr-raps-markdown/report.pdf
    3 Jun 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? ##
  34. Multiple conditional randomization tests

    www.statslab.cam.ac.uk/~qz280/talk/mcp-2022/slides.pdf
    3 Jun 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.
  35. Selective Randomization Inference for Adaptive Experiments | Qingyuan …

    https://www.statslab.cam.ac.uk/~qz280/publication/selective-randomization/
    3 Jun 2024: In a nutshell, our approach applies conditional post-selection inference to randomization tests. ... Lastly, we demonstrate our method and compare it with other randomization tests using synthetic and real-world data.
  36. Sensitivity analysis for inverse probability weighting estimators via …

    https://www.statslab.cam.ac.uk/~qz280/publication/sensitivity-ipw/
    3 Jun 2024: It is mostly applicable to matched observational studies; 2. It only tests the sharp null hypothesis; 3.
  37. Selecting and ranking individualized treatment rules with…

    www.statslab.cam.ac.uk/~qz280/talk/selective-inference-webinar-2021/slides.pdf
    3 Jun 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,.
  38. A constructive approach to selective risk control | Qingyuan Zhao

    https://www.statslab.cam.ac.uk/~qz280/publication/selective-risk/
    3 Jun 2024: the null but also at other locations for free; (2) in the context of permutation tests, the BH procedure with exact permutation p-values can be well approximated by a procedure
  39. Comment on “Causal inference using invariant prediction” Qingyuan…

    www.statslab.cam.ac.uk/~qz280/publication/invariant-prediction-comment/comment.pdf
    3 Jun 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
  40. 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: 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.
  41. Statistical modellingLecturer: Alberto J. Coca…

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/notes_3Dec19.pdf
    3 Jun 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.
  42. Mendelian Randomization: Old and New Insights Qingyuan Zhao…

    www.statslab.cam.ac.uk/~qz280/talk/penn-biostat-2021/slides.pdf
    3 Jun 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.
  43. SISCER Module 12 Lecture 3: Sensitivity analysis

    www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/L3.pdf
    3 Jun 2024: I By further assuming no unmeasured confounders Ai Yi (a) | Xi for all a,randomization tests can be constructed as in randomized experiments.
  44. Probability J.R. Norris January 22, 2024 1 Contents 1 ...

    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
  45. PathGPS 1 PathGPS: Discover shared genetic architecture using GWAS ...

    www.statslab.cam.ac.uk/~qz280/publication/pathgps/paper.pdf
    3 Jun 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.
  46. Lecture Notes on Statistical Modelling Qingyuan Zhao December 2, ...

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/notes.pdf
    3 Jun 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).
  47. CAUSAL INFERENCE - Example Sheet 2 Solutions J. Hera ...

    www.statslab.cam.ac.uk/~qz280/teaching/causal-2023/S2.pdf
    3 Jun 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”.
  48. On Sensitivity Value of Pair-Matched Observational Studies

    www.statslab.cam.ac.uk/~qz280/publication/sensitivity-value/slides.pdf
    3 Jun 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.
  49. Machine Learning meets Biostatistics IIA crash course on Causal ...

    www.statslab.cam.ac.uk/~qz280/talk/ccaim-summer-school-2022/slides.pdf
    3 Jun 2024: How do we test XJ XK | XL in DAG models?
  50. Small Data, Big Time—A retrospect of the first weeks of COVID-19

    www.statslab.cam.ac.uk/~qz280/publication/covid-19-retrospect/paper.pdf
    3 Jun 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
  51. Practical: Randomization inference

    www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/S1.pdf
    3 Jun 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.

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