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  2. Abstract

    www.statslab.cam.ac.uk/~rrw1/abstracts/c95b.html
    20 Sep 2011: Thus, the switches constantly estimate their spare capacity. Simulations were performed using Markov fluid sources to test the validity of our approach.
  3. STATISTICAL MODELLING Part IIC, Michaelmas 2021Practical 5: ANOVA and …

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P5.pdf
    22 Jul 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
    22 Jul 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. Sensitivity analysis via stochastic programming

    www.statslab.cam.ac.uk/~qz280/talk/icsds-2023/slides.pdf
    22 Jul 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).
  6. www.statslab.cam.ac.uk/~chris/DATAPAK/readme.txt

    www.statslab.cam.ac.uk/~chris/DATAPAK/readme.txt
    20 Jul 2010: Now if the returns were IID, the rows of the matrix P would all be the same, and a contingency table test shows that this is overwhelmingly rejected for most pairs
  7. Practical: Matching/Weighting and Sensitivity Analysis

    www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/P4.pdf
    22 Jul 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 =
  8. STATISTICAL MODELLING Part IIC, Michaelmas 2021Practical 4: More on…

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P4.pdf
    22 Jul 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
  9. Almost Exact Mendelian Randomization Qingyuan Zhao Statistical…

    www.statslab.cam.ac.uk/~qz280/talk/eurocim-2023/slides.pdf
    22 Jul 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.
  10. STATISTICAL MODELLING Part IIC / Michaelmas 2022Example Sheet 2 ...

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/E2.pdf
    22 Jul 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.
  11. STATISTICAL MODELLING Part IIC / Michaelmas 2022Example Sheet 1 ...

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/E1.pdf
    22 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
  12. SISCER Module 12 Lecture 2: Matching for Cohort Studies

    www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/L2.pdf
    22 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
  13. STATISTICAL MODELLING Part IIC, Michaelmas 2019Practical 2: More on…

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P2S.pdf
    22 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%.
  14. STATISTICAL MODELLING Part IIC, Michaelmas 2019 Practical 8:…

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P8S.pdf
    22 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
  15. STATISTICAL MODELLING Part IIC, Michaelmas 2021Practical 2: More on…

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P2.pdf
    22 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
  16. Towards Reliable Inference for Precision Medicine

    www.statslab.cam.ac.uk/~qz280/talk/jsm-2021/slides.pdf
    22 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,.
  17. CAUSAL INFERENCE - Example Sheet 1 Solutions J. Hera ...

    www.statslab.cam.ac.uk/~qz280/teaching/causal-2023/S1.pdf
    22 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.
  18. The Randomization Principle in Causal Inference: A Modern Look ...

    www.statslab.cam.ac.uk/~qz280/talk/imperial-2022/slides.pdf
    22 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
  19. Fisher, Statistics, and Randomization

    www.statslab.cam.ac.uk/~qz280/talk/fisher-2022/slides.pdf
    22 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.
  20. STATISTICAL MODELLING Part IIC / Michaelmas 2022Example Sheet 3 ...

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/E3.pdf
    22 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?
  21. Practical: Mendelian randomization

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

    www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/S2.pdf
    22 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
  23. STATISTICAL MODELLING Part IIC, Michaelmas 2019Practical 5: ANOVA and …

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P5S.pdf
    22 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).
  24. Optimization IB1998

    www.statslab.cam.ac.uk/~rrw1/opt/index98.html
    31 Oct 2011: Read more about the amusingincluding an overview of optimization, case studies, test problems, and much, much more.
  25. BETS: The dangers of selection bias in early analyses ...

    www.statslab.cam.ac.uk/~qz280/talk/ido-2021/slides.pdf
    22 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.
  26. BETS: The dangers of selection bias in early analyses ...

    www.statslab.cam.ac.uk/~qz280/talk/osu-2020/slides.pdf
    22 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.
  27. The Cycle of Statistical Research Qingyuan Zhao Statistical…

    www.statslab.cam.ac.uk/~qz280/talk/ccimi-2020/slides.pdf
    22 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
  28. visa06f-courcoubetis.dvi

    www.statslab.cam.ac.uk/~rrw1/research/visa09.pdf
    20 Jan 2011: Economic Issues in Shared Infrastructures. Costas Courcoubetis. Department of Computer ScienceAthens University of Economics and Business. ... General TermsAlgorithms, Design, Economics, Experimentation, Manage-ment, Performance. KeywordsAd-hoc grid,
  29. 8. Lecture 9. Tests of goodness-of-fit and independence Lecture ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-09-fit-independence.pdf
    20 Feb 2017: Pearson’s Chi-squared tests. Example 9.1 continued using R:. chisq.test(n,p=ptilde). data: n. ... Goodness-of-fit of a fully-specified null distribution. Likelihood ratio tests. Pearson's Chi-squared tests.
  30. CAUSAL INFERENCE Part III / Michaelmas 2023Example Sheet 3 ...

    www.statslab.cam.ac.uk/~qz280/teaching/causal-2023/E3.pdf
    22 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.
  31. BETS: The dangers of selection bias in early analyses ...

    www.statslab.cam.ac.uk/~qz280/talk/ghent-2021/slides.pdf
    22 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.
  32. CAUSAL INFERENCE Part III / Michaelmas 2023Example Sheet 2 ...

    www.statslab.cam.ac.uk/~qz280/teaching/causal-2023/E2.pdf
    22 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”
  33. SISCER Module 12 Lecture 6: Negative Controls and…

    www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/L6.pdf
    22 Jul 2024: 2020). Can labor market policies reduce deaths ofdespair? Journal of health economics, 74:102372.
  34. Dynamic Routing Report

    www.statslab.cam.ac.uk/~frank/DAR/dyroute.html
    21 Oct 1999: The secondary reason for fixed routing was that the telephone companies were reluctant to relinquish a large portion of network control to the network itself, because of the economic consequences if
  35. 8. Lecture 9. Tests of goodness-of-fit and independence Lecture ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-09-fit-independence-4.pdf
    20 Feb 2017: Pearson’s Chi-squared tests. Pearson’s Chi-squared tests. Notice that (?) and (?) are of the same form. ... Pearson’s Chi-squared tests. Example 9.1 continued using R:. chisq.test(n,p=ptilde). data: n.
  36. Practical: Matching/Weighting and Sensitivity Analysis

    www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/P2.pdf
    22 Jul 2024: Remark: For example, we can apply the Wilcoxon signed rank test, as follows.
  37. Using sparsity to overcome unmeasured confounding:Two examples…

    www.statslab.cam.ac.uk/~qz280/talk/mrc-bsu-2019/slides.pdf
    22 Jul 2024: Related problem: Gene colocalization test. Stylized statistical problem(γ̂. Γ̂. ) N. (( ... A standard test uses (Plagnol et al, 2009, Biostatistics). 2l(β̂) d χ2p1 under the above model.
  38. STATISTICAL MODELLING Part IIC, Michaelmas 2021Practical 1:…

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P1.pdf
    22 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.
  39. Mendelian Randomization: Old and New Insights Qingyuan Zhao…

    www.statslab.cam.ac.uk/~qz280/talk/epfl-2021/slides.pdf
    22 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.
  40. BETS: The dangers of selection bias in early analyses ...

    www.statslab.cam.ac.uk/~qz280/talk/yale-biostats-2020/slides.pdf
    22 Jul 2024: The principle is to only include cases as Wuhan-exported that pass a “beyond areasonable doubt” test. ... Variations of Assumption 3 (exponential growth) and Assumption 5 (stabletravel) are implemented to test sensitivity.
  41. MR Data Challenge 2019 — The role of lipoprotein subfractions in…

    www.statslab.cam.ac.uk/~qz280/publication/mr-lipids/report.pdf
    22 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? ##
  42. MR Data Challenge 2019 — The role of lipoprotein subfractions in…

    www.statslab.cam.ac.uk/~qz280/talk/mr-raps-markdown/report.pdf
    22 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? ##
  43. Clifford Paterson Slides

    www.statslab.cam.ac.uk/~frank/CP/CPREAD/SLIDES/HTML/cpslides.html
    22 Sep 1995: coordination of players (traditionally an economic issue, involving externalities and incentive compatability).
  44. 47 A1/12 B1/15 Principles of Statistics (i) Explain in ...

    www.statslab.cam.ac.uk/~lab85/resources/PoS2002.pdf
    28 Apr 2023: Show that we may construct a different, randomised, size α test with the samepower function for θ > θ0. ... f(x; θ) = h(x)g(θ) exp{θt(x)} , x R. Explain in detail how you would test.
  45. 26 1/I/3H Statistics State the factorization criterion for sufficient …

    www.statslab.cam.ac.uk/~lab85/resources/Stats2002.pdf
    28 Apr 2023: What is the result of applying this test at the 0.01 level? [ ... tostrength tests, the number out of the six blocks failing the test being recorded in thefollowing table:.
  46. STATISTICS Part IBExample Sheet 2 (of 3) Lent 2022 ...

    www.statslab.cam.ac.uk/~lab85/resources/StatsL23b.pdf
    27 Apr 2023: By first deriving the MLEs under each hypothesis, show that the likelihood ratio andPearson’s chi-squared tests are identical to those for the independence test. ... Is the test uniformly most powerfulfor testing H0 : θ = θ0 against H1 : θ > θ0?
  47. 44 Paper 1, Section I 7H StatisticsSuppose that X1, ...

    www.statslab.cam.ac.uk/~lab85/resources/Stats2019.pdf
    27 Apr 2023: test to test the hypothesis H1 : σ2 > σ̃2 against the hypothesis H0 : σ. ... 2 = σ̃2. Does the F-test depend on whether µ, µ̃ are known?
  48. 59 1/II/27I Principles of Statistics An angler starts fishing ...

    www.statslab.cam.ac.uk/~lab85/resources/PoS2008.pdf
    28 Apr 2023: What arethe size and power of the test in terms of α and β? ... Is φkadmissible as a test of H0 against Hθ for every θ (0, 1)?
  49. 53 1/II/27I Principles of Statistics State Wilks’ Theorem on ...

    www.statslab.cam.ac.uk/~lab85/resources/PoS2005.pdf
    28 Apr 2023: Explain why for large n thelikelihood-ratio test and the t-test are nearly the same. ... Howcould you use this to make a test of H0 against H1 : µ Θ1?
  50. Selecting and ranking individualized treatment rules with…

    www.statslab.cam.ac.uk/~qz280/talk/selective-inference-webinar-2021/slides.pdf
    22 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,.
  51. 28 1/I/7C Statistics Let X1, . . . ,Xn ...

    www.statslab.cam.ac.uk/~lab85/resources/Stats2007.pdf
    28 Apr 2023: Explain carefully how the test should be implemented. 1/II/18C Statistics. Let X1,. ... yθ1eydy and θ > 1 is unknown. Find the most powerful test of size α,.

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