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19 Jun 2019: from the lowest 4 social groups of the 7-groupsocio-economic classification); and. ... ii) Using appropriate non-parametric methods, test, for all services. (a) whether perc04 is associated with perc03,.

19 Jun 2019: HumanR: Index C, an index of participation and human rights;. EconOpp: Index D, an index of sustainable economic opportunity;. ... b) Using appropriate tests, investigate whether there are improvements between 2000and 2005 for any of the six indices.

17 Jun 2019: The probability that a carrier tests negative is 1% while the probabilitythat a non-carrier tests positive is 5%. ... Write equations describing the probability of the cases:. (ii) that a patient with a positive test carries the gene, [2].

17 Jun 2019: 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).

17 Jun 2019: A test for the presence ofthe virus shows positive with probability 0.95 if the person tested has the disease,0.9 if the person is a carrier and 0.05 ... Calculate the probability that any given person tests positive. [3]. Calculate the probability that

19 Jun 2019: vi) finite-sample versions of robustness measures;. (vii) tests based on the empirical distribution function;. ... Show that the Bayes test rejects H0 if. x̄ < θ0 η(µ θ0).

19 Jun 2019: Explain how to test H0 against H1 using (i) the sign test, and (ii) the Wilcoxonsigned rank test. ... vi) finite-sample versions of robustness measures;. (vii) tests based on the empirical distribution function;.

19 Jun 2019: Xn be a random sample from a continuous distribution that is sym-metric about the unknown median θ, < θ <. Explain carefully how to test H0 : θ = 0 against H1 : θ > 0 ... n, is called a Walshaverage. It is proposed to test H0 against H1, using as

19 Jun 2019: a) The British Army conducts 500 Monday-compulsory-drug-tests (MCDTs) on pri-vates each week. ... 0) and β(1). and obtain the likelihood-ratio test of the hypothesis β(0) = β(1).

19 Jun 2019: ii) Describe in detail the Wilcoxon signed rank test, used to test whether acontinuous distribution is symmetric about a point θ0. ... where (xi), (zi), (ti) are given vectors, and 1,. ,n has the distribution givenabove, explain carefully how you would

19 Jun 2019: iii) UK slaughters 4 million adult sheep per annum, up to 2000 of which areexpected to test positive for scrapie. ... iv) Testing costs £40 per slaughtered adult sheep. BSE test positivity in 1 per100,000 slaughtered adult cattle is a concern.

19 Jun 2019: 10]. 4 Survival Data Analysis. Explain the principles of the log-rank test. ... The effect of two treatments, A and B, on the time to a certain event is beingcompared by a log-rank test.

19 Jun 2019: H0 : µ = µ0. (b) Describe briefly how we can modify this test to test hypotheses of the form. ... p 1,. and hence say how to conduct a significance test of hypothesis H0.

17 Jun 2019: Explain what is meant by a uniformly most powerful test, its power function andsize. ... Derivecarefully a (generalized) likelihood ratio test of this claim. Knowing that for the dataabove.

30 Aug 2019: Test whether the three-factor interaction is needed. Explain what the stepAIC directive does. ... Xm and Y1,. , Yn, and a one-sided Wilcoxon signed rank test forindependent pairs (U1, V1),. ,

30 Aug 2019: Xn Np(µx, Σ) with Σ unknown. State theform of the best test statistic for testing H0 : µx = µ0 vs H1 : µx 6= µ0. ... c) Five subjects were each given three psychological tests. The scores for eachsubject on each test were recorded and the

30 Aug 2019: iii) UK slaughters 4 million adult sheep per annum, up to 2000 of which areexpected to test positive for scrapie. ... iv) Testing costs £40 per slaughtered adult sheep. BSE test positivity in 1 per100,000 slaughtered adult cattle is a concern.

17 Jun 2019: find the form of the most powerful size-α test of H0 : λ = λ0 against H1 : λ = λ1. ... Deduce. that the test you have constructed is a size-α test of H0 : λ 6 λ0 against H1 : λ = λ1.

30 Aug 2019: You may use the comparison test,. provided you state it clearly.].

19 Jun 2019: Between 2003 and 2007,the annual number of cocaine positives in Monday tests increased from 250 to 500.In 2007, 30% of the Monday cocaine-positive tests gave a maximum ... Could one construct a 5%-level test with 80% power, todetect statistically whether