Suppose we wanted to compare the somatic complaints (as measured on a scale known as the Physical Symptom Survey or PSS) of three groups of people; nonsmokers, smokers, and people who recently quit smoking. Using the following data for PSS scores, do a one-way ANOVA to test the hypothesis that the population means are equal:
|
Nonsmokers
|
Smokers
|
Quitters
|
|
19
|
26
|
37
|
|
23
|
29
|
32
|
|
17
|
22
|
27
|
|
20
|
30
|
41
|
|
26
|
23
|
38
|
1. What are the means and SDs for the three groups?
2. What is the SS total? SS between and SS within?
3. What is the MS between? MS within?
4. What is the df for between, df for within?
5. What is the value of F? Using an alpha of .05, is the F statistically significant?
6. Attach your SPSS output