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## Statistics

Multiple Comparisons Test.

To study the effects of different kinds 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 as a minimum 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 pair wise comparisons among the 3 programs, using a Tukey adjustment and an overall significance level of 0.05, and then interpret all your results.

Statistics and Probability, Statistics

• Category:- Statistics and Probability
• Reference No.:- M921071

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