A researcher is interested in testing the relationship between smoking and BMI (kg/m2) in adults aged 30-45. In order to test this association, the researcher divides smoking into currently more than a pack a day, currently less than a pack a day, and never smokers. The following table represents the BMIs for each participant enrolled by their respective smoking category. Current Smoker (≥1pack/day) Current Smoker (<1 pack/day Never Smoked 26.7 29.4 22.1 29.4 28.6 30.4 24.3 27.4 21.3 28.4 23.2 26.4 21.6 20.1 19.7 27.4 20.6 19.8 26.8 19.7 21.6 36.4 19.6 22.3 31.5 21.6 24.3 27.4 21.5 *Continue as though all assumptions for ANOVA are met. A) Calculate the MSW and MSB for the data represented above. B) Carry out a formal test for a one-way analysis of variance among the groups and interpret your results.
A researcher is interested in testing the relationship between smoking and BMI (kg/m2) in adults aged 30-45. In order to test this association, the researcher divides smoking into currently more than a pack a day, currently less than a pack a day, and never smokers. The following table represents the BMIs for each participant enrolled by their respective smoking category.
|
Current Smoker (≥1pack/day) |
Current Smoker (<1 pack/day |
Never Smoked |
|
26.7 |
29.4 |
22.1 |
|
29.4 |
28.6 |
30.4 |
|
24.3 |
27.4 |
21.3 |
|
28.4 |
23.2 |
26.4 |
|
21.6 |
20.1 |
19.7 |
|
27.4 |
20.6 |
19.8 |
|
26.8 |
19.7 |
21.6 |
|
36.4 |
19.6 |
22.3 |
|
31.5 |
|
21.6 |
|
24.3 |
|
27.4 |
|
21.5 |
|
|
*Continue as though all assumptions for ANOVA are met.
A) Calculate the MSW and MSB for the data represented above.
B) Carry out a formal test for a one-way analysis of variance among the groups and interpret your results.
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