Homework Answers
a)
Independent = mg of antiepressant drug
Dependent = Improvement score
b)
| SS | df | MS | F | |
| Between: | 294.16 | 3.00 | 98.05 | 5.20 |
| Within: | 528.24 | 28.00 | 18.87 | |
| Total: | 822.40 | 31.00 |
c)
| p-value | ||
| 0.006 | ||
| α = | 0.05 | |
| Decision: | p-value<α , reject null hypothesis |
We can do this because we have rejected the hypothesis.
| mean difference | absolute mean difference | std error | critical value | lower limit | upper limit | test stat | p value | result | |
| µ1-µ2 | -1.75 | 1.75 | 1.536 | 5.93 | -7.68 | 4.18 | 1.14 | 0.2641 | means are not different |
| µ1-µ3 | -7.37 | 7.37 | 1.536 | 5.93 | -13.30 | -1.44 | 4.80 | 0.0000 | means are different |
| µ1-µ4 | -6.12 | 6.12 | 1.536 | 5.93 | -12.05 | -0.19 | 3.99 | 0.0004 | means are different |
| µ2-µ3 | -5.62 | 5.62 | 1.536 | 5.93 | -11.55 | 0.31 | 3.66 | 0.0010 | means are not different |
| µ2-µ4 | -4.37 | 4.37 | 1.536 | 5.93 | -10.30 | 1.56 | 2.85 | 0.0082 | means are not different |
| µ3-µ4 | 1.25 | 1.25 | 1.536 | 5.93 | -4.68 | 7.18 | 0.81 | 0.4225 | means are not different |
Please let me know in case of any doubt.
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