In: Statistics and Probability
The following data shows the age at diagnosis of type ii diabetes in young adults. Is the age at diagnosis different for males and females ? Mann-Whitney.
MALES 19 22 16 29 24
FEMALES 20 11 17 12
The following data shows the age at diagnosis of type ii diabetes in young adults. Is the age at diagnosis different for males and females ? Mann-Whitney.
MALES 19 22 16 29 24
FEMALES 20 11 17 12
Wilcoxon - Mann/Whitney Test |
||||
n |
sum of ranks |
|||
5 |
32 |
MALES |
||
4 |
13 |
FEMALES |
||
9 |
45 |
total |
||
25.00 |
expected value |
|||
4.08 |
standard deviation |
|||
1.59 |
z |
|||
.1113 |
p-value (two-tailed) |
|||
No. |
Label |
Data |
Rank |
|
1 |
MALES |
19 |
5 |
|
2 |
MALES |
22 |
7 |
|
3 |
MALES |
16 |
3 |
|
4 |
MALES |
29 |
9 |
|
5 |
MALES |
24 |
8 |
|
6 |
FEMALES |
20 |
6 |
|
7 |
FEMALES |
11 |
1 |
|
8 |
FEMALES |
17 |
4 |
|
9 |
FEMALES |
12 |
2 |
η₁: median of control |
|
η₂: median of inbred |
|
Difference: η₁ - η₂ |
|
Null hypothesis |
H₀: η₁ - η₂ = 0 |
Alternative hypothesis |
H₁: η₁ - η₂ ≠ 0 |
Calculated z= 1.59, P=0.1113 which is > 0.05 level of significance.
Ho is not rejected.
There is not sufficient evidence to conclude that the age at diagnosis are different for males and females .