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  2. MATHEMATICAL TRIPOS Part III Tuesday, 1 June, 2010 9:00 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2010/Paper37.pdf
    30 Aug 2019: Carryout a formal hypothesis test to determine whether blow3.glm is an improvement overblow2.glm. ... traffic2.glm <- glm(naccoffset(log(years))LocBefaft,poisson). > anova(traffic2.glm,test="Chisq"). Df Deviance Resid. Df Resid.
  3. MATHEMATICAL TRIPOS Part III Tuesday 3 June 2003 9 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2003/Paper38.pdf
    30 Aug 2019: Number of Fisher Scoring Iterations: 3. >fisher.test(rbind(a,b)). Fisher’s exact test. data: rbind(a, b). ... The reported variables are. npreg = number of pregnancies,glu = plasma glucose concentration in an oral glucose tolerance test,bp = diastolic
  4. M. PHIL. IN STATISTICAL SCIENCE Tuesday 6 June 2006 ...

    https://www.maths.cam.ac.uk/postgrad/mphil/files/stats/2006/Paper41.pdf
    19 Jun 2019: Explain how D0 and D1 maybe used to test H0 : βk1 =. = βp = 0. Anthers of a particular plant species are prepared under two different storageconditions (1, 2 are control, treatment respectively) ... Interpret these four models. Carry out appropriate
  5. M. PHIL. IN STATISTICAL SCIENCE Friday 8 June 2001 ...

    https://www.maths.cam.ac.uk/postgrad/mphil/files/stats/2001/Paper30.pdf
    19 Jun 2019: ii) Using (i) above, construct the large-sample likelihood ratio test of.
  6. MATHEMATICAL TRIPOS Part III Friday 6 June 2003 1.30 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2003/Paper65.pdf
    30 Aug 2019: 0. (i) Show that the angular velocity (r), epicyclic oscillation frequency κ(r) and verticaloscillation frequency z(r) associated with circular test-particle orbits in the mid-planeare given by. ... where a represents the radius of the black hole. Find
  7. MATHEMATICAL TRIPOS Part III Wednesday, 6 June, 2018 9:00 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2018/paper_207.pdf
    30 Aug 2019: Neyman. allocation) is: R =. p0(1p0)p1(1p1). Note: the Z-test (Wald Test) is is based on a statistic Z = p̂0p̂1σ2p̂. ... After the 10thpatient’s outcome is assessed a statistical test is done at a 10% significance leveland shows no significant
  8. MATHEMATICAL TRIPOS Part II Wednesday 4 June 2008 9.00 ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2008/PaperII_2.pdf
    17 Jun 2019: What arethe size and power of the test in terms of α and β? ... Is it admissibleas a test of H0 against H1? Paper 2 [TURN OVER.
  9. 5J Statistical Modelling The output X of a process ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2013/paper4_5_2013.pdf
    17 Jun 2019: tests performed under the summary and anova commands. > fit1 <- lm(xab). >
  10. MATHEMATICAL TRIPOS Part IB Wednesday 2 June 2004 1.30 ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2004/PaperIB_2.pdf
    17 Jun 2019: Find the best test of size α, 0 < α < 1, of the hypothesisH0 : θ = θ0 against H1 : θ = θ1, where θ1 > θ0. ... When α = 0.05, for which values of θ0 and θ1 will the power of the best test be atleast 0.95?
  11. MATHEMATICAL TRIPOS Part IB Wednesday 5 June 2002 1.30 ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2002/PaperIB_1.pdf
    17 Jun 2019: Derive carefully a (generalized) likelihood ratio test of independence of classifica-tion. ... What is the result of applying this test at the 0.01 level? [

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