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  2. Discussion on (quasi-)randomization inference | Qingyuan Zhao

    https://www.statslab.cam.ac.uk/~qz280/post/randomization-hyunseung/
    3 Jun 2024: I personally think the Freedman and Lane’s example with “randomizing” gender makes the distinction between the classic randomization test and your quasi-randomization tests more clear than the example you ... Personally, I would define
  3. Rachel Kelz | Qingyuan Zhao

    https://www.statslab.cam.ac.uk/~qz280/author/rachel-kelz/
    3 Jun 2024: Falsification tests for instrumental variable designs with an application to tendency to operate.
  4. Sensitivity Analysis | Qingyuan Zhao

    https://www.statslab.cam.ac.uk/~qz280/tag/sensitivity-analysis/
    3 Jun 2024: It only tests the sharp null hypothesis; 3. It assumes treatment effect homogeneity to obtain a confidence interval of …. 2024. Powered by the Academic theme forCite.
  5. 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.
  6. Selective Inference | Qingyuan Zhao

    https://www.statslab.cam.ac.uk/~qz280/tag/selective-inference/
    3 Jun 2024: We apply ideas from post-selection inference to randomization tests for adaptive experiments.
  7. On testing mean proportionality of multivariate normal variables |…

    https://www.statslab.cam.ac.uk/~qz280/publication/proportionality-testing/
    3 Jun 2024: We show that the usual likelihood ratio χ2-test is valid non-asymptotically. ... Our proof relies on expressing the test statistic as the minimum eigenvalue of a Wishart variable and using a representation of its distribution using Legendre polynomials.
  8. www.statslab.cam.ac.uk/~qz280/publication/index.xml

    www.statslab.cam.ac.uk/~qz280/publication/index.xml
    3 Jun 2024: qz280/publication/pathgps/ Wed, 04 May 2022 00:00:00 0000 https://www.statslab.cam.ac.uk/qz280/publication/pathgps/ What is a randomization test? ... 21 Jul 2021 00:00:00 0000 https://www.statslab.cam.ac.uk/qz280/publication/fda-comment-2021/ Multiple
  9. 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.
  10. 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
  11. Practical: Randomization inference

    www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/P1.pdf
    3 Jun 2024: Here are some points you mayconsider. • How do the two randomization tests compare with each other? ... Why?• How can you "invert" the randomization tests to obtain an interval estimator of the treatment.
  12. CAUSAL INFERENCE Part III / Michaelmas 2023Example Sheet 1 ...

    www.statslab.cam.ac.uk/~qz280/teaching/causal-2023/E1.pdf
    3 Jun 2024: Compare this with Fisher’s exact test in the randomization model discussedin lectures. ... i. This test should compare T with quantilesof the standard normal distribution after scaling.
  13. Confounder Adjustment in Multiple Hypothesis Testing

    www.statslab.cam.ac.uk/~qz280/publication/cate/slides.pdf
    3 Jun 2024: Model andInference. Model andIdentifiability. Estimation. Hypothesis Tests. NumericalExamples. Summary. 12/49. Association test. ... Estimation. Hypothesis Tests. NumericalExamples. Summary. 38/49. Significance test for confounding. Theorem (Wang, Z.,
  14. SISCER Module 12 Lecture 4: Matched Case-Control Studies

    www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/L4.pdf
    3 Jun 2024: I Mantel–Haenszel test. I Logistic regression adjusting for treatment, stratum indicators (and potentiallyother covariates). ... multiple 22 tablesI Consider sensitivity analysis for Fisher’s exact test in one 22 table.
  15. Multiple conditional randomization tests | Qingyuan Zhao

    https://www.statslab.cam.ac.uk/~qz280/talk/berkeley-2021/
    3 Jun 2024: Search. Multiple conditional randomization tests. Date. 2021-09-29 9:30 PM — 10:30 PM.
  16. STATISTICAL MODELLING Part IIC, Michaelmas 2019Practical 1:…

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P1S.pdf
    3 Jun 2024: examinable) tells us is a valid approximationto the exact distribution of the test statistic under the null. ... the (approximate) p-value for thetwo-sided test statistic. This is known as a permutation or exact test, and you can read a briefdescription
  17. STATISTICAL MODELLING Part IIC, Michaelmas 2019Practical 6: Binomial…

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P6S.pdf
    3 Jun 2024: This test cannot reject the simpler model without interactions between mumMyopic and dadMyopic. ... To test the hypothesis thatthe effects are equal, we can use the z-test for this coefficient.mumPlusdadMyopic <- (dadMyopic == "Yes") (mumMyopic ==
  18. STATISTICAL MODELLING Part IIC, Michaelmas 2021Practical 6: Binomial…

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P6.pdf
    3 Jun 2024: 2 609 439.60 8 40.478 2.61e-06. In contrast to the lm case, here we need to specify that we want to perform a likelihood ratio test (test= ... To formally test this hypothesis, we should createa variable. > mumPlusdadMyopic <- (dadMyopic == "Yes")
  19. SISCER Module 15 Practice 3: DID

    www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/S4.pdf
    3 Jun 2024: Estimate Std. Error t value Pr(>|t|)## -0.036548937 0.012646474 -2.890049673 0.003893424# cluster-robust standard error with CR2 small-sample correctioncoeftest.twfe <- coef_test(fit.twfe,. ... 2. mod <- lm(form, data = df). # using arguments from here:#
  20. Falsification tests for instrumental variable designs with an…

    https://www.statslab.cam.ac.uk/~qz280/publication/iv-falsification/
    3 Jun 2024: Search. Falsification tests for instrumental variable designs with an application to tendency to operate. ... We demonstrate this test using an IV known as tendency to operate (TTO) from health services research.
  21. SISCER Module 12 Lecture 5: Instrumental variables

    www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/L5.pdf
    3 Jun 2024: IV in Economics: Effect of military service on earnings (Angrist, 1990). ... American Economic Review, 80(3):313–336. Gamazon, E. R., , Wheeler, H. E., Shah, K.
  22. 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).
  23. 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
  24. 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);.
  25. Cross-screening in observational studies that test many hypotheses |…

    https://www.statslab.cam.ac.uk/~qz280/publication/cross-screening/
    3 Jun 2024: Search. Cross-screening in observational studies that test many hypotheses.
  26. 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
  27. 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.
  28. 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 =
  29. 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.
  30. www.statslab.cam.ac.uk/~qz280/index.xml

    www.statslab.cam.ac.uk/~qz280/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. 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
  32. 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
  33. 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%.
  34. 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
  35. 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
  36. 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,.
  37. 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.
  38. 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.
  39. 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
  40. 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?
  41. 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
  42. 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.
  43. 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).
  44. 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.
  45. 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.
  46. 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
  47. 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.
  48. 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.
  49. 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.
  50. 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.
  51. 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? ##

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