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  2. 32 1/I/7D Statistics The fast-food chain McGonagles have three ...

    www.statslab.cam.ac.uk/~lab85/resources/Stats2005.pdf
    28 Apr 2023: It is desiredto test the hypothesis. H0 : f = f0 against H1 : f = f1,. ... You should state, but need not derive, the distribution of the test statistic.].
  3. Statistical modellingLecturer: Alberto J. Coca…

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/notes_3Dec19.pdf
    22 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.
  4. Comment on “Causal inference using invariant prediction” Qingyuan…

    www.statslab.cam.ac.uk/~qz280/publication/invariant-prediction-comment/comment.pdf
    22 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
  5. PRINCIPLES OF STATISTICS – EXAMPLES 2/4 Part II, Michaelmas ...

    www.statslab.cam.ac.uk/~lab85/resources/PoSM23b.pdf
    31 Oct 2023: From this limiting result: (i) derive a test for the hypothesis H0 : θ = θ0 vs. ... For all these models, derive explicit expressions for the likelihood ratio test statistic ofa simple hypothesis test of H0 : θ = θ0, θ0 Θ, vs.
  6. 42 Paper 1, Section I 7H StatisticsDescribe the generalised ...

    www.statslab.cam.ac.uk/~lab85/resources/Stats2012.pdf
    28 Apr 2023: It is desired to test the hypothesis H0 : λ = µ against H1 : λ 6= µ. ... Let w(θ) denote the power function of this test at θ (> 1).
  7. Mendelian Randomization: Old and New Insights Qingyuan Zhao…

    www.statslab.cam.ac.uk/~qz280/talk/penn-biostat-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.
  8. How infectious was COVID-19 when it first circulated in Wuhan?

    www.statslab.cam.ac.uk/~qz280/talk/corpus-masterclass-2022/slides.pdf
    22 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.
  9. 48 Paper 1, Section I7H Statistics What does it ...

    www.statslab.cam.ac.uk/~lab85/resources/Stats2009.pdf
    28 Apr 2023: What is the critical region C of a test of the null hypothesis H0 : θ Θ0 against. ... the alternative H1 : θ Θ1? What is the size of a test with critical region C?
  10. SISCER Module 12 Lecture 3: Sensitivity analysis

    www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/L3.pdf
    22 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.
  11. 41 Paper 1, Section I 7H StatisticsLet x1, . ...

    www.statslab.cam.ac.uk/~lab85/resources/Stats2013.pdf
    28 Apr 2023: It. is desired to test H0 : f(x) = 1 against H1 : f(x) = 2x. ... Let δ : [0, 1] {0, 1} define a test by δ(x1) = i ‘accept Hi’.

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