Question

The following data are from a repeated-measures study examining the effect of a treatment by measuring a group of n=5 participants before and after they receive the treatment.

A.) calculate the difference scores and MD

B.) compute SS, sample variance, and estimated standard error.

C.) is there a significant treatment effect? Use Alpha=0.05

Participant Before Treatment After Treatment
A 8 7
B 7 5
C 6 6
D 7 6
E 9 7

Answer 1

Participant          Before              After                  difference

A                           8                      7                           1

B                           7                      5                           2

C                           6                      6                           0

D                           7                      6                           1

E                           9                       7                           2

MD = (1 + 2 + 0 + 1 + 2)/5 = 1.2

b) SS = (1 - 1.2)^2 + (2 - 1.2)^2 + (0 - 1.2)^2 + (1 - 1.2)^2 + (2 - 1.2)^2 = 2.8

Sample variance(sd2) = SS/(n - 1) = 2.8/4 = 0.7

         

         

c)

The test statistic is

df = 5 - 1 = 4

At alpha = 0.05, the critical values are +/- t0.025,4 = +/- 2.777

Since the test statistic value is greater than the upper critical value(3.21 > 2.777), so we should reject the null hypothesis.

At 0.05 significance level, there is sufficient evidence to conclude that there is a significant treatment effect .

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