Question

In: Statistics and Probability

16. The following data are from an experiment comparing two treatments: Treatment 1 Treatment 2 10...

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

Solutions

Expert Solution

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


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