Answer the within-subjects ANOVA questions using the data below.Use α = 0.05.
| 1 | 2 | 3 | 4 |
|---|
53
49
38
42
51
34
44 | 44
29
36
34
39
30
12 | 46
37
39
37
36
34
47 | 25
22
30
27
33
28
31 |
a) Compute the preliminary statistics below.
SSBG =Â Â ; dfBG =Â Â
SSBS =Â Â ; dfBS =Â Â
SSE =Â Â ; dfE =Â Â
SST =Â Â ; dfT =Â Â
b) Compute the appropriate test statistic(s) tomake a decision about H0.
critical value =Â Â ; test statistic =Â Â
Decision:Â Â ---Select--- Reject H0 Fail to reject H0
c) Compute the corresponding effect size(s) andindicate magnitude(s).
η2 =  ;  ---Select--- na trivialeffect small effect medium effect large effect
d) Make an interpretation based on theresults.
At least one week differs on the GRE verbal score.No week isdifferent on GRE verbal score.   Â
e) Conduct Tukey's Post Hoc Test for the followingcomparisons:
1 vs. 3: difference =Â Â ;significant:Â Â ---Select--- Yes No
1 vs. 2: difference =Â Â ;significant:Â Â ---Select--- Yes No
f) Conduct Scheffe's Post Hoc Test for thefollowing comparisons:
1 vs. 2: test statistic =Â Â ;significant:Â Â ---Select--- Yes No
2 vs. 4: test statistic =Â Â ;significant:Â Â ---Select--- Yes No
