In: Statistics and Probability
16. The following data are from an experiment comparing two treatments:
Treatment 1 |
Treatment 2 |
10 |
11 |
2 |
5 |
1 |
2 |
15 |
18 |
7 |
9 |
M = 7 |
M = 9 |
SS = 134 |
SS = 150 |
Assume that the data are from a repeated-measures experiment using the same sample of n = 5 subjects in both treatments. Calculate the difference score (D) for each subject and use the sample of difference scores to determine whether there is a significant difference between the two treatments. Again, use a two-tailed test with a = .05.
For the repeated measures analysis you did, which of the following is TRUE:
a. the t you look up is on 8 degrees of freedom
b. the t you compute is LESS than 2.776
c. the treatment's effect is significant
d. the treatment's effect is non-significant
Following table shows the calculations:
Treatment 1, X1 | Treatment 2, X2 | d=X1-X2 | (d-mean)^2 |
10 | 11 | -1 | 1 |
2 | 5 | -3 | 1 |
1 | 2 | -1 | 1 |
15 | 18 | -3 | 1 |
7 | 9 | -2 | 0 |
Total | -10 | 4 |
Correct option:
c. the treatment's effect is significant