In: Statistics and Probability
12 subjects in a study were randomly assigned into two equally sized groups. One group was shown a short video on how to fold paper cranes. The other group was given an instruction booklet on how to do so. They were then asked to make paper cranes for the next hour. The number of paper cranes each subject made was recorded and is listed in the table below. The researchers are interested in whether there was a difference in the average number of paper cranes between the two groups.
Use a permutation test to test this hypothesis.
Video Group | Booklet Group |
10 | 20 |
10 | 21 |
12 | 20 |
6 | 20 |
21 | 20 |
11 | 21 |
Assuming group sizes stayed the same, how many possible ways are there to assign the subjects to the two groups?
How many arrangements of the data result in a mean difference in number of paper cranes made between the two groups that is greater than or equal to the absolute value of the observed one?
What is the p value?
Assuming a signifigance level α = 0.01, do we reject the null hypothesis?
Yes, we reject the null hypothesis
No, we can not reject the null hypothesis