A study of cardiovascular risk factors compared runners who averaged at least 15 miles per week with a control group described as ?generally sedentary.? Both men and women were included in the study. The design is a 2 x 2 ANOVA with the factors group and gender. There were 200 subjects in each of the four combinations. One of the variables measured was the heart rate after 6 minutes of exercise on a treadmill.

Output of the appropriate analysis is given below:

a) What are the degrees of freedom for gender? Explain how you obtain your answer.

b) What is the within (error) degrees of freedom? Explain how you obtain your answer.

c) What are the mean squares for gender? Explain how you obtain your answer.

d) What is the F test statistic for testing the main effect of Group? Explain how you obtain your answer.

e) What is the F test statistic for testing the interaction effect between group and gender? Explain how you obtain your answer.

f) What conclusion can you infer at 1% level of significance? Explain how you obtain your answer.

Transcribed Image Text:

Source of Variation Group Gender Interaction Within (Error) Total S.S 168432 45030 1794 192730 407986 df 799 MS 168432 1794 242.12 F 695.647 P-value 0.0001 0.0001 0.0066 F crit 3.85316 3.85316 3.85316 Source of Variation Group Gender Interaction Within (Error) Total S.S 168432 45030 1794 192730 407986 df 799 MS 168432 1794 242.12 F 695.647 P-value 0.0001 0.0001 0.0066 F crit 3.85316 3.85316 3.85316

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a Degrees of freedom for gender 21 1 b Degrees of freedom for group is 1 as SS and MS are equal fo... View the full answer