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

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