4. Plasma aldosterone has been related to blood-pressure levels in adults in some studies. In addition, there may be ethnic differences. There is less data available for children. In the Figure at the right, we present the distribution of plasma aldosterone for Caucasian children and African American children. The distributions are very skewed, and a nonparametric analysis is appropriate here. We have grouped the data for purposes of illustration as shown in Table 2. Table 2. Plasma Aldosterone levels in 53 Caucasian and 46 African American Children (Grouped data) Aldosterone group (pmol/l) Caucasian African American 0-199 200-399 400-599 >= 600 12 28 17 10 15 5 9 3 Plasma-aldosterone concentration (pmol/liter) 1100 1000 900 T ° 01200 ° 800 ° 700 600- 500- 400 300 200- 100 。。。。。。。 188 800 8008 so good 。。 P<0.001 a) What nonparametric test can be used to compare plasma aldosterone group between Caucasian and African American children? 00 Caucasians African Americans b) Perform the large sample version of the test mentioned in Problem a), and report a two- sided p-value. c) Perform a permutation test version for the test mentioned in Problem a), and report a two- sided p-value. d) How do the results in Problems b) and c) compare? e) What is your overall conclusion from your analysis of the data?
4. Plasma aldosterone has been related to blood-pressure levels in adults in some studies. In addition, there may be ethnic differences. There is less data available for children. In the Figure at the right, we present the distribution of plasma aldosterone for Caucasian children and African American children. The distributions are very skewed, and a nonparametric analysis is appropriate here. We have grouped the data for purposes of illustration as shown in Table 2. Table 2. Plasma Aldosterone levels in 53 Caucasian and 46 African American Children (Grouped data) Aldosterone group (pmol/l) Caucasian African American 0-199 200-399 400-599 >= 600 12 28 17 10 15 5 9 3 Plasma-aldosterone concentration (pmol/liter) 1100 1000 900 T ° 01200 ° 800 ° 700 600- 500- 400 300 200- 100 。。。。。。。 188 800 8008 so good 。。 P<0.001 a) What nonparametric test can be used to compare plasma aldosterone group between Caucasian and African American children? 00 Caucasians African Americans b) Perform the large sample version of the test mentioned in Problem a), and report a two- sided p-value. c) Perform a permutation test version for the test mentioned in Problem a), and report a two- sided p-value. d) How do the results in Problems b) and c) compare? e) What is your overall conclusion from your analysis of the data?
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Transcribed Image Text:4. Plasma aldosterone has been related to blood-pressure levels
in adults in some studies. In addition, there may be ethnic
differences. There is less data available for children. In the
Figure at the right, we present the distribution of plasma
aldosterone for Caucasian children and African American
children. The distributions are very skewed, and a
nonparametric analysis is appropriate here. We have grouped
the data for purposes of illustration as shown in Table 2.
Table 2. Plasma Aldosterone levels in 53 Caucasian and 46
African American Children (Grouped data)
Aldosterone group (pmol/l) Caucasian African American
0-199
200-399
400-599
>= 600
12
28
17
10
15
5
9
3
Plasma-aldosterone concentration (pmol/liter)
1100
1000
900
T
°
01200
°
800
°
700
600-
500-
400
300
200-
100
。。。。。。。 188 800 8008 so good 。。
P<0.001
a) What nonparametric test can be used to compare plasma
aldosterone group between Caucasian and African
American children?
00
Caucasians
African Americans
b) Perform the large sample version of the test mentioned in Problem a), and report a two-
sided p-value.
c) Perform a permutation test version for the test mentioned in Problem a), and report a two-
sided p-value.
d) How do the results in Problems b) and c) compare?
e) What is your overall conclusion from your analysis of the data?
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