Homework Sourse8 A medical researcher wishes to try three different techniq
8) A medical researcher wishes to try three different techniques to lower blood pressure of patients with high blood pressure. The subjects are randomly selected and assigned to one of three groups. Group 1 is given medication, Group 2 is given an exercise program, and Group 3 is assigned a diet program. At the end of six weeks, the reduction in each subject?s blood pressure is recorded. Use the Kruskal-WailIis H-test to test the claim that there is no difference in the distribution of the populations. Use alpha = .05.
Solution
No.
Label
Data
Rank
1
group1
15
14
2
group1
16
15.5
3
group1
13
12.5
4
group1
19
18
5
group1
17
17
6
group1
12
10
7
group2
12
10
8
group2
9
7
9
group2
6
2
10
group2
7
3
11
group2
8
5
12
group2
4
1
13
group3
10
8
14
group3
16
15.5
15
group3
8
5
16
group3
12
10
17
group3
13
12.5
18
group3
8
5
Group
Sample Size
Sum of Ranks
1
6
87
2
6
28
3
6
56
H=(12/(18*19) *1/6*(872+282 +562 ) -3*19 = 10.187
Table value of chi square with 2Df at 0.05 level =5.991
The calculated H=10.187 > 5.991
The null hypothesis is rejected
We conclude that there is difference in the distribution of the population.
| No. | Label | Data | Rank |
| 1 | group1 | 15 | 14 |
| 2 | group1 | 16 | 15.5 |
| 3 | group1 | 13 | 12.5 |
| 4 | group1 | 19 | 18 |
| 5 | group1 | 17 | 17 |
| 6 | group1 | 12 | 10 |
| 7 | group2 | 12 | 10 |
| 8 | group2 | 9 | 7 |
| 9 | group2 | 6 | 2 |
| 10 | group2 | 7 | 3 |
| 11 | group2 | 8 | 5 |
| 12 | group2 | 4 | 1 |
| 13 | group3 | 10 | 8 |
| 14 | group3 | 16 | 15.5 |
| 15 | group3 | 8 | 5 |
| 16 | group3 | 12 | 10 |
| 17 | group3 | 13 | 12.5 |
| 18 | group3 | 8 | 5 |
