Search

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.

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

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

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

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: 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: 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: 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?

17 Jun 2019: Conduct a goodness-of-fit test at the 0.05 level for the null hypothesis that the coins areall fair. ... Prove that f is continuous on E. State the Weierstrass M-test for uniform convergence of a series.

17 Jun 2019: f(x; θ) = h(x)g(θ) exp{θt(x)} , x R. Explain in detail how you would test. ... Explain in detail how you would test H0 : ψ = ψ0 against H1 : ψ 6= ψ0, and describethe optimality properties of your test.

16 Oct 2019: Hence, approximate the distribution of the generalisedPearson statistic, and conclude whether there is evidence of overdispersion in a test withsignificance level 5% approximately. ... d) Can we expect to be able to use the usual deviance-based test for

17 Jun 2019: Define the terms size and power for a test of onesimple hypothesis against another. ... x|/2,x R. Find the test of size α,α < 14 , which maximises power, and show that the power is et/2,.

19 Jun 2019: Using the results of (i) above, show that the generalizedlikelihood ratio test of.

19 Jun 2019: Xβ = X1β1 X2β2,. where X is partitioned as (X1 : X2), and β is similarly partitioned as β =(. β1β2. ). How would you test the hypothesis ω : β = 0 against? ... How would you test thehypothesis ω1 : β1 = 0 against?

30 Aug 2019: Consider the following (edited)R output. > model1<-glm(purchasepricelayout,family="binomial"). > model2<-glm(purchaseprice,family="binomial"). > anova(model1,test="Chisq"). ## ... Which model is preferable? Describe thehypothesis test that has been

30 Aug 2019: An experiment was carried out to investigate operators of a certain type ofhydrostatic testing machine used to test the water repellency of fabrics. ... Now test for an operator effect. [ F4,3 (0.05) = 9.12 F3,6(0.05) = 4.76 F6,3(0.05) = 6.16F3,15(0.05) =

17 Jun 2019: i) Find (with careful justification) the form of the size-α likelihood–ratio test of thenull hypothesis H0 : µY = 0 against alternative H1 : (µX,µY ) unrestricted. ... ii) Find the form of the size-α likelihood–ratio test of the hypothesis.