Multiple comparison test-significance level

Assignment Help Basic Statistics

Reference no: EM1320905

To study the effects of different types of vigorous exercise on physical fitness, researchers randomized 33 healthy, non-athletic, 20- to 25-year-old made volunteers into three exercise programs: swimming, running, and bicycling. After six months, a variety of measures were taken of the men's fitness levels. One such measure was forced expiratory volume (FEV₁), with higher values indicating better pulmonary fitness. The results were as follows:

FEV₁(liters)
Programs	Sample size	Sample mean	Sample standard deviation
Swimming	11	4.4	0.4
Running	11	4.2	0.4
Bicycling	11	3.7	0.5

The one-way ANOVA table for these data is as follows, indicating at least one significant difference in mean FEV1 among the three groups.

Source	DF	Sum of Squares	Mean Square	F Value	Pr > F
Model	2	2.86	1.43	7.53	0.0022
Error	30	5.7	0.19
Corrected Total	32	8.56

Perform all pairwise comparisons among the three programs, using a Tukey adjustment and an overall significance level of 0.05, then interpret all your results.

Reference no: EM1320905

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