In: Math
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
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