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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

19 Jun 2019: ii) Using (i) above, construct the large-sample likelihood ratio test of.

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

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

17 Jun 2019: tests performed under the summary and anova commands. > fit1 <- lm(xab). >

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

30 Aug 2019: c) Show how to test for a difference between the direct and indirect evidence re-garding the comparison of warfarin and aspirin. ... ii) Suppose we test 10 biomarkers for association with bowel cancer, and de-clare significance according to a p-value

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? [

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.

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?