In: Statistics and Probability
An operations analyst in a sheriff's department studied how frequently their emergency helicopter was used during the past year, by time of day (shift 1 2AM-8AM, shift 2 8AM-2PM, shift 3 2PM-8PM, shift 4 8PM-2AM) Random samples of size 16 for each shift were obtained. The dependent variable (freq) and the categorical variable (shift) .
Use transformation if necessary using the Box-Cox method that satisfies one way ANOVA model (State whether your transformation is valid or not). The data is attached.
|
freq |
shift |
|
4 |
1 |
|
3 |
1 |
|
2 |
1 |
|
3 |
1 |
|
4 |
1 |
|
4 |
1 |
|
3 |
1 |
|
6 |
1 |
|
5 |
1 |
|
4 |
1 |
|
2 |
1 |
|
4 |
1 |
|
4 |
1 |
|
2 |
1 |
|
3 |
1 |
|
4 |
1 |
|
7 |
2 |
|
6 |
2 |
|
4 |
2 |
|
6 |
2 |
|
7 |
2 |
|
2 |
2 |
|
9 |
2 |
|
5 |
2 |
|
5 |
2 |
|
9 |
2 |
|
3 |
2 |
|
8 |
2 |
|
6 |
2 |
|
4 |
2 |
|
7 |
2 |
|
6 |
2 |
|
12 |
3 |
|
6 |
3 |
|
14 |
3 |
|
12 |
3 |
|
10 |
3 |
|
9 |
3 |
|
12 |
3 |
|
17 |
3 |
|
7 |
3 |
|
6 |
3 |
|
12 |
3 |
|
11 |
3 |
|
6 |
3 |
|
13 |
3 |
|
10 |
3 |
|
14 |
3 |
|
7 |
4 |
|
15 |
4 |
|
17 |
4 |
|
20 |
4 |
|
13 |
4 |
|
11 |
4 |
|
16 |
4 |
|
25 |
4 |
|
11 |
4 |
|
24 |
4 |
|
18 |
4 |
|
21 |
4 |
|
16 |
4 |
|
19 |
4 |
|
19 |
4 |
|
23 |
4 |