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Ch 9 Homework F10 - Chapter Nine Homework Assignment Due...

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Chapter Nine Homework Assignment Due November 4, 2010 There are two parts: problems assigned from your text and example examination problems. You are responsible for both parts. Of course, you are encouraged to use a statistical computing package to perform the calculations. 9.3. In an experiment with 4 = t and n n n n n = = = = 4 3 2 1 , suppose we define the following expressions: 4 3 2 1 1 3 ˆ y y y y l - + + = , 3 2 1 2 2 ˆ y y y l - + = . a. Are 1 ˆ l and 2 ˆ l linear contrasts? b. Are 1 ˆ l and 2 ˆ l orthogonal? 9.4 In an experiment with 4 = t and 8 , 4 , 6 , 5 4 3 2 1 = = = = n n n n , suppose we define the following expressions: 4 3 2 1 1 3 ˆ y y y y l - + + = , 3 2 1 2 2 ˆ y y y l - + = . a. Are 1 ˆ l and 2 ˆ l linear contrasts? b. Are 1 ˆ l and 2 ˆ l orthogonal? Hint: Read definition 9.2 carefully. 9.27. The paper “The effect of an endothelin-receptor antagonist, bosentan, on blood pressure in patients with essential hypertension” [1998, The New England Journal of Medicine, 338: 784-790] discussed the contribution of bosentan to blood pressure regulation in patients with essential hypertension. After a placebo run-in period, patients were randomly assigned to receive one of four oral doses of bosentan (100, 500, or 1000 mg once daily, or 1,000 mg twice daily) or a placebo. The blood pressure was measured before treatment began and after a 4-week treatment period. The primary end point of the
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