The following data are from an experiment comparing illness symptoms for 3 treatment conditions with a separate sample of n = 5 in each treatment. These are the data from the groups. Treatment Treatment Treatment ∑X = 45 Group 1 Group 2 Group 3 ∑X2 = 229 M1 = 1.0 M2 = 2.0 M3 = 6.0 N = 15 S1 = 1.0 S2 = 1.6 S3 = 1.6 k = 3 SS1 = 4.0 SS2 = 10.0 SS3 = 10.0 T1 = 5.0 T2 = 10.0 T3 = 30.0 Using an ANOVA, test if there are any significant differences among the 3 treatments (α = .05). Define hypotheses 2. Find the critical value and rejection region using alpha = .05. 3. Fill in the ANOVA summary table to calculate the test statistic F Source SS df MS F Between Within Total 4. Make a statistical decision regarding the hypothesis based on your results and write a conclusion statement summarizing the results. 5. Given the results, what would be an appropriate next step for the analysis? (You don’t need to calculate anything, just state what you would do given what you found in 1d above.)
. The following data are from an experiment comparing illness symptoms for 3 treatment conditions with a separate sample of n = 5 in each treatment. These are the data from the groups.
|
Treatment |
Treatment |
Treatment |
∑X = 45 |
|
Group 1 |
Group 2 |
Group 3 |
∑X2 = 229 |
|
M1 = 1.0 |
M2 = 2.0 |
M3 = 6.0 |
N = 15 |
|
S1 = 1.0 |
S2 = 1.6 |
S3 = 1.6 |
k = 3 |
|
SS1 = 4.0 |
SS2 = 10.0 |
SS3 = 10.0 |
|
|
T1 = 5.0 |
T2 = 10.0 |
T3 = 30.0 |
|
Using an ANOVA, test if there are any significant differences among the 3 treatments (α = .05).
- Define hypotheses
2. Find the critical value and rejection region using alpha = .05.
3. Fill in the ANOVA summary table to calculate the test statistic F
|
Source |
SS |
df |
MS |
F |
|
Between |
|
|
|
|
|
Within |
|
|
|
|
|
Total |
|
|
|
|
4. Make a statistical decision regarding the hypothesis based on your results and write a conclusion statement summarizing the results.
5. Given the results, what would be an appropriate next step for the analysis? (You don’t need to calculate anything, just state what you would do given what you found in 1d above.)
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