Answer the within-subjects ANOVA questions using the data below. Use -0.05. 53 4
ID: 3360062 • Letter: A
Question
Answer the within-subjects ANOVA questions using the data below. Use -0.05. 53 44 46 25 49 39 42 35 47 36 39 30 42 34 37 27 51 39 36 33 45 29 24 31 44 12 47 31 a) Compute the preliminary statistics below. SSE = b) Compute the appropriate test statistic(s) to make a decision about Ho Decision:-Sele- ; test statistic= c) Compute the corresponding effect size(s) and indicate magnitude(s). critical value d)Make an interpretation based on the results. O At least one week differs on the GRE verbal score. O No week is different on GRE verbal score. e) Conduct Tukey's Post Hoc Test for the following comparisons: 2 vs. 4: difference = lys. 2: difference = | ; significant: E-Select-V : significant:-Select- v 1) Conduct Scheffe's Post Hoc Test for the following comparisons: 1 vs. 4: test statistic 3 vs. 4: test statistic : significant: Select-Explanation / Answer
Result:
Analysis of Variance
Source
DF
Adj SS
Adj MS
F-Value
P-Value
sub
6
357.4
59.57
1.30
0.306
grp
3
1169.0
389.65
8.51
0.001
Error
18
824.3
45.79
Total
27
2350.7
a).
Source
SS
DF
grp
1169.0
3
sub
357.4
6
Error
824.3
18
Total
2350.7
27
b).
critical value =3.16, test statistic = 8.51
Reject Ho.
c).
effect size = 1169/(1169+824.3) = 0.586465
d).
Atleast one week differs on the GRE verbal score.
e).
2 vs 4 difference =3, significant = No
1 vs 2 difference =14, significant = yes
f).
1vs 4 difference =17, significant = Yes
2 vs 4 difference =3, significant = No
Tukey Simultaneous Tests for Differences of Means
Difference
of grp
Levels
Difference
of Means
SE of
Difference
Simultaneous
95% CI
T-Value
Adjusted
P-Value
2 - 1
-14.00
3.62
(-24.23, -3.77)
-3.87
0.006
3 - 1
-8.57
3.62
(-18.80, 1.66)
-2.37
0.119
4 - 1
-17.00
3.62
(-27.23, -6.77)
-4.70
0.001
3 - 2
5.43
3.62
(-4.80, 15.66)
1.50
0.457
4 - 2
-3.00
3.62
(-13.23, 7.23)
-0.83
0.840
4 - 3
-8.43
3.62
(-18.66, 1.80)
-2.33
0.128
Individual confidence level = 98.89%
Source
DF
Adj SS
Adj MS
F-Value
P-Value
sub
6
357.4
59.57
1.30
0.306
grp
3
1169.0
389.65
8.51
0.001
Error
18
824.3
45.79
Total
27
2350.7
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