Question

In: Math

Answer the within-subjects ANOVA questions using the data below. Use α = 0.01. 1 2 3...

Answer the within-subjects ANOVA questions using the data below. Use α = 0.01.

1 2 3 4
53
49
47
42
51
39
44
44
39
36
34
39
30
29
46
42
39
37
36
34
26
44
35
30
27
33
28
31

Make an interpretation based on the results.

At least one week differs on the GRE verbal score.No week is different on GRE verbal score.    


e) Conduct Tukey's Post Hoc Test for the following comparisons:
1 vs. 4: difference =  ; significant:  ---Select--- Yes No
3 vs. 4: difference =  ; significant:  ---Select--- Yes No

f) Conduct Scheffe's Post Hoc Test for the following comparisons:
1 vs. 4: test statistic =  ; significant:  ---Select--- Yes No
2 vs. 3: test statistic =  ; significant:  ---Select--- Yes No

Solutions

Expert Solution

Tests of Between-Subjects Effects
Dependent Variable: Score
Source Type III Sum of Squares df Mean Square F Sig.
Corrected Model 740.857a 3 246.952 7.787 .001
Intercept 40432.000 1 40432.000 1274.883 .000
Week 740.857 3 246.952 7.787 .001
Error 761.143 24 31.714
Total 41934.000 28
Corrected Total 1502.000 27

Comment:  

At least one week differs on the GRE verbal score.

Multiple Comparisons
Dependent Variable:Score
(I) Week (J) Week Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval
Lower Bound Upper Bound
Tukey HSD 1 2 10.5714* 3.01019 .009 2.2675 18.8754
3 9.2857* 3.01019 .024 .9818 17.5896
4 13.8571* 3.01019 .001 5.5532 22.1611
2 1 -10.5714* 3.01019 .009 -18.8754 -2.2675
3 -1.2857 3.01019 .973 -9.5896 7.0182
4 3.2857 3.01019 .698 -5.0182 11.5896
3 1 -9.2857* 3.01019 .024 -17.5896 -.9818
2 1.2857 3.01019 .973 -7.0182 9.5896
4 4.5714 3.01019 .442 -3.7325 12.8754
4 1 -13.8571* 3.01019 .001 -22.1611 -5.5532
2 -3.2857 3.01019 .698 -11.5896 5.0182
3 -4.5714 3.01019 .442 -12.8754 3.7325
Scheffe 1 2 10.5714* 3.01019 .017 1.5277 19.6152
3 9.2857* 3.01019 .043 .2419 18.3295
4 13.8571* 3.01019 .001 4.8134 22.9009
2 1 -10.5714* 3.01019 .017 -19.6152 -1.5277
3 -1.2857 3.01019 .980 -10.3295 7.7581
4 3.2857 3.01019 .756 -5.7581 12.3295
3 1 -9.2857* 3.01019 .043 -18.3295 -.2419
2 1.2857 3.01019 .980 -7.7581 10.3295
4 4.5714 3.01019 .523 -4.4723 13.6152
4 1 -13.8571* 3.01019 .001 -22.9009 -4.8134
2 -3.2857 3.01019 .756 -12.3295 5.7581
3 -4.5714 3.01019 .523 -13.6152 4.4723

e) Conduct Tukey's Post Hoc Test for the following comparisons:
1 vs. 4: difference = 13.8571 ; significant: Yes
3 vs. 4: difference = 4.5714 ; significant: No

f) Conduct Scheffe's Post Hoc Test for the following comparisons:
1 vs. 4: test statistic = 13.8571 ; significant: Yes
2 vs. 3: test statistic = -1.2857 ; significant: No


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