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A researcher conducted a study on the effects of stress on migraines. The researcher computed the number of migraines individuals reported during a six-month time frame as a function of the amount of stress they reported during that same time period. There were three stress levels: low, mild, and severe. The sums of squares appear in the following ANOVA table. The means for each condition and the number of participants per condition are also provided.
Source
df
SS
MS
F
Between groups
22.167
Within groups
14.750
---------
Total
36.917
----------
Stress Level
Mean
N
Low
3
4
Mild
Severe
6
a) Complete the ANOVA summary table.
b) Is Fobt significant at a = .05?
c) Perform post hoc comparisons, if necessary.
d) What conclusions can be drawn from the F-ratio and the post hoc comparisons?
e) What is the effect size, and what does it mean?
The following table is based on information taken from the Medical Practice Characteristics section of the Statistical Abstract of the United States
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